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UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549
FORM 10-Q
☒ QUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
For the period ended June 30, 2022
OR
☐ TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
For the transition period from to
Commission file number 1-8993
WHITE MOUNTAINS INSURANCE GROUP, LTD.
(Exact name of Registrant as specified in its charter)

Bermuda |  |
(State or other jurisdiction of incorporation or organization) |  | 94-2708455
23 South Main Street, Suite 3B |  | (I.R.S. Employer Identification No.)
Hanover, |  | 03755-2053
New Hampshire |  | (Zip Code)
(Address of principal executive offices) |  |

Registrant’s telephone number, including area code: (603) 640-2200
Securities registered pursuant to Section 12(b) of the Act:

Title of each class |  | Trading Symbol(s) |  | Name of each exchange on which registered
Common Shares, par value $1.00 |  | WTM |  | New York Stock Exchange
per share |  |  |  | Bermuda Stock Exchange

Indicate by check mark whether the Registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Securities Exchange Act of 1934 during the preceding 12 months (or for such shorter period that the Registrant was required to file such reports), and (2) has been subject to such filing requirements for the past 90 days. Yes ý No ☐
Indicate by check mark whether the Registrant has submitted electronically every Interactive Data File required to be submitted pursuant to Rule 405 of Regulation S-T (§232.405 of this chapter) during the preceding 12 months (or for such shorter period that the Registrant was required to submit such files). Yes ý No ☐
Indicate by check mark whether the Registrant is a large accelerated filer, an accelerated filer, a non-accelerated filer, a smaller reporting company, or an emerging growth company. See the definitions of “large accelerated filer,” “accelerated filer”, “smaller reporting company” and “emerging growth company” in Rule 12b-2 of the Exchange Act.

Large accelerated filer | ý | Accelerated filer | ☐ | Non-accelerated filer | ☐
Smaller reporting company | ☐ | Emerging growth company | ☐ |

If an emerging growth company, indicate by check mark if the registrant has elected not to use the extended transition period for complying with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act. o
Indicate by check mark whether the Registrant is a shell company (as defined in Rule 12b-2 of the Exchange Act). Yes ☐ No ý
As of August 4, 2022, 2,906,994 common shares with a par value of $1.00 per share were outstanding (which includes 38,350 restricted common shares that were not vested at such date).

WHITE MOUNTAINS INSURANCE GROUP, LTD.
Table of Contents

|  | Page No.
PART I. | FINANCIAL INFORMATION |
Item 1. | Financial Statements (Unaudited) |
| Consolidated Balance Sheets, June 30, 2022 and December 31, 2021 | 1
| Consolidated Statements of Operations and Comprehensive Income, |
| Three and Six Months Ended June 30, 2022 and 2021 | 3
| Consolidated Statements of Changes in Equity, | 6
| Three and Six Months Ended June 30, 2022 and 2021 |
| Consolidated Statements of Cash Flows, Six Months Ended June 30, 2022 and 2021 | 8
| Notes to Consolidated Financial Statements | 9
Item 2. | Management’s Discussion and Analysis of Financial Condition and Results of Operations | 48
| Results of Operations for the Three and Six Months Ended June 30, 2022 and 2021 | 48
| Liquidity and Capital Resources | 70
| Non-GAAP Financial Measures | 75
| Critical Accounting Estimates | 77
| Forward-Looking Statements | 78
Item 3. | Quantitative and Qualitative Disclosures About Market Risk | 78
Item 4. | Controls and Procedures | 79
PART II. | OTHER INFORMATION | 79
Items 1 through 6. | 79
SIGNATURES | 80

Part I.FINANCIAL INFORMATION.
Item 1.Financial Statements
WHITE MOUNTAINS INSURANCE GROUP, LTD.
CONSOLIDATED BALANCE SHEETS
(Unaudited)

|  | June 30, 2022 |  | December 31, 2021
Millions, except share and per share amounts |  |
Assets |  |  |  |
Financial Guarantee (HG Global/BAM) |  |  |  |
Fixed maturity investments, at fair value |  | $ | 884.4 |  |  | $ | 934.1 |
Short-term investments, at fair value |  | 55.3 |  |  | 32.4 |
Total investments |  | 939.7 |  |  | 966.5 |
Cash |  | 21.6 |  |  | 19.8 |
Insurance premiums receivable |  | 6.9 |  |  | 6.9 |
Deferred acquisition costs |  | 33.9 |  |  | 33.1 |
Other assets |  | 19.7 |  |  | 18.5 |
Total Financial Guarantee assets |  | 1,021.8 |  |  | 1,044.8 |
P&C Insurance and Reinsurance (Ark) |  |  |  |
Fixed maturity investments, at fair value |  | 739.3 |  |  | 688.6 |
Common equity securities, at fair value |  | 278.6 |  |  | 251.1 |
Short-term investments, at fair value |  | 101.2 |  |  | 296.2 |
Other long-term investments |  | 330.0 |  |  | 326.2 |
Total investments |  | 1,449.1 |  |  | 1,562.1 |
Cash |  | 214.6 |  |  | 67.8 |
Reinsurance recoverables |  | 398.7 |  |  | 448.4 |
Insurance premiums receivable |  | 894.8 |  |  | 416.0 |
Ceded unearned premiums |  | 105.4 |  |  | 67.1 |
Deferred acquisition costs and value of in-force business acquired |  | 192.4 |  |  | 108.2 |
Goodwill and other intangible assets |  | 292.5 |  |  | 292.5 |
Other assets |  | 67.9 |  |  | 64.9 |
Total P&C Insurance and Reinsurance assets |  | 3,615.4 |  |  | 3,027.0 |
Asset Management (Kudu) |  |  |  |
Other long-term investments |  | 727.0 |  |  | 669.5 |
Cash (restricted $7.3 and $4.5) |  | 124.1 |  |  | 21.4 |
Accrued investment income |  | 11.2 |  |  | 16.9 |
Goodwill and other intangible assets |  | 8.7 |  |  | 8.9 |
Other assets |  | 10.4 |  |  | 10.4 |
Total Asset Management assets |  | 881.4 |  |  | 727.1 |
Other Operations |  |  |  |
Fixed maturity investments, at fair value |  | 243.0 |  |  | 286.2 |
Short-term investments, at fair value |  | 88.6 |  |  | 129.5 |
Investment in MediaAlpha, at fair value |  | 166.9 |  |  | 261.6 |
Other long-term investments |  | 411.7 |  |  | 382.1 |
Total investments |  | 910.2 |  |  | 1,059.4 |
Cash |  | 23.1 |  |  | 38.7 |
Goodwill and other intangible assets |  | 96.8 |  |  | 39.1 |
Other assets |  | 114.4 |  |  | 59.5 |
Assets held for sale - NSM Group |  | 997.8 |  |  | 989.0 |
Assets held for sale - Other |  | — |  |  | 16.1 |
Total Other Operations assets |  | 2,142.3 |  |  | 2,201.8 |
Total assets |  | $ | 7,660.9 |  |  | $ | 7,000.7 |

See Notes to Consolidated Financial Statements
1

CONSOLIDATED BALANCE SHEETS (CONTINUED)
(Unaudited)

|  | June 30, 2022 |  | December 31, 2021
Millions, except share and per share amounts |  |
Liabilities |  |  |  |
Financial Guarantee (HG Global/BAM) |  |  |  |
Unearned insurance premiums |  | $ | 274.0 |  |  | $ | 266.3 |
Debt |  | 146.3 |  |  | — |
Accrued incentive compensation |  | 16.5 |  |  | 24.7 |
Other liabilities |  | 32.7 |  |  | 30.9 |
Total Financial Guarantee liabilities |  | 469.5 |  |  | 321.9 |
P&C Insurance and Reinsurance (Ark) |  |  |  |
Loss and loss adjustment expense reserves |  | 1,022.1 |  |  | 894.7 |
Unearned insurance premiums |  | 1,020.6 |  |  | 495.9 |
Debt |  | 183.5 |  |  | 185.9 |
Reinsurance payable |  | 418.8 |  |  | 424.1 |
Contingent consideration |  | 30.2 |  |  | 28.0 |
Other liabilities |  | 105.1 |  |  | 93.8 |
Total P&C Insurance and Reinsurance liabilities |  | 2,780.3 |  |  | 2,122.4 |
Asset Management (Kudu) |  |  |  |
Debt |  | 253.3 |  |  | 218.2 |
Other liabilities |  | 45.3 |  |  | 42.8 |
Total Asset Management liabilities |  | 298.6 |  |  | 261.0 |
Other Operations |  |  |  |
Debt |  | 35.0 |  |  | 16.8 |
Accrued incentive compensation |  | 51.1 |  |  | 48.5 |
Other liabilities |  | 30.0 |  |  | 30.1 |
Liabilities held for sale - NSM Group |  | 504.4 |  |  | 495.3 |
Total Other Operations liabilities |  | 620.5 |  |  | 590.7 |
Total liabilities |  | 4,168.9 |  |  | 3,296.0 |
Equity |  |  |  |
White Mountains’s common shareholders’ equity |  |  |  |
White Mountains’s common shares at $1 par value per share—authorized 50,000,000 shares; issued and outstanding 2,942,877 and 3,017,772 shares |  | 2.9 |  |  | 3.0 |
Paid-in surplus |  | 600.3 |  | 585.9
Retained earnings |  | 2,725.1 |  |  | 2,957.5 |
Accumulated other comprehensive income (loss), after-tax: |  |  |  |
Net unrealized gains (losses) from foreign currency translation and interest rate swap |  | (5.0) |  |  | 1.7 |
Total White Mountains’s common shareholders’ equity |  | 3,323.3 |  |  | 3,548.1 |
Non-controlling interests |  | 168.7 |  |  | 156.6 |
Total equity |  | 3,492.0 |  |  | 3,704.7 |
Total liabilities and equity |  | $ | 7,660.9 |  |  | $ | 7,000.7 |

See Notes to Consolidated Financial Statements
2

WHITE MOUNTAINS INSURANCE GROUP, LTD.
CONSOLIDATED STATEMENTS OF OPERATIONS
(Unaudited)

|  | Three Months Ended June 30, |  | Six Months Ended June 30,
Millions |  | 2022 |  | 2021 |  | 2022 |  | 2021
Revenues: |  |  |  |  |  |  |  |
Financial Guarantee (HG Global/BAM) |  |  |  |  |  |  |  |
Earned insurance premiums |  | $ | 10.5 |  |  | $ | 6.5 |  |  | $ | 18.9 |  |  | $ | 12.9 |
Net investment income |  | 4.8 |  |  | 4.3 |  |  | 9.4 |  |  | 8.8 |
Net realized and unrealized investment gains (losses) |  | (30.1) |  |  | 6.3 |  |  | (75.2) |  |  | (11.6) |
Other revenues |  | 1.6 |  |  | .3 |  |  | 2.4 |  |  | .6 |
Total Financial Guarantee revenues |  | (13.2) |  |  | 17.4 |  |  | (44.5) |  |  | 10.7 |
P&C Insurance and Reinsurance (Ark) |  |  |  |  |  |  |  |
Earned insurance premiums |  | 217.3 |  |  | 117.8 |  |  | 411.7 |  |  | $ | 222.4 |
Net investment income |  | 3.2 |  |  | .4 |  |  | 4.8 |  |  | 1.2 |
Net realized and unrealized investment gains (losses) |  | (44.6) |  |  | 8.9 |  |  | (62.1) |  |  | 10.0 |
Other revenues |  | 6.3 |  |  | 3.4 |  |  | 3.5 |  |  | 6.0 |
Total P&C Insurance and Reinsurance revenues |  | 182.2 |  |  | 130.5 |  |  | 357.9 |  |  | 239.6 |
Asset Management (Kudu) |  |  |  |  |  |  |  |
Net investment income |  | 13.8 |  |  | 8.4 |  |  | 26.4 |  |  | 16.6 |
Net realized and unrealized investment gains (losses) |  | (17.6) |  |  | 27.8 |  |  | 4.7 |  |  | 43.6 |
Other revenues |  | — |  |  | — |  |  | — |  |  | .1 |
Total Asset Management revenues |  | (3.8) |  |  | 36.2 |  |  | 31.1 |  |  | 60.3 |
Other Operations |  |  |  |  |  |  |  |
Net investment income |  | 3.3 |  |  | 4.0 |  |  | 5.1 |  |  | 11.1 |
Net realized and unrealized investment gains (losses) |  | (11.8) |  |  | 16.6 |  |  | 20.1 |  |  | 18.7 |
Net realized and unrealized investment gains (losses) from investment in MediaAlpha |  | (113.5) |  |  | 113.0 |  |  | (94.7) |  |  | 71.3 |
Commission revenues |  | 2.6 |  |  | 2.3 |  |  | 5.5 |  |  | 4.6 |
Other revenues |  | 30.9 |  |  | 22.4 |  |  | 56.6 |  |  | 29.5 |
Total Other Operations revenues |  | (88.5) |  |  | 158.3 |  |  | (7.4) |  |  | 135.2 |
Total revenues |  | $ | 76.7 |  |  | $ | 342.4 |  |  | $ | 337.1 |  |  | $ | 445.8 |

3

CONSOLIDATED STATEMENTS OF OPERATIONS (CONTINUED)
(Unaudited)

|  | Three Months Ended June 30, |  | Six Months Ended June 30,
Millions |  | 2022 |  | 2021 |  | 2022 |  | 2021
Expenses: |  |  |  |  |  |  |  |
Financial Guarantee (HG Global/BAM) |  |  |  |  |  |  |  |
Insurance acquisition expenses |  | $ | 4.8 |  |  | $ | 1.6 |  |  | $ | 7.8 |  |  | $ | 3.5 |
General and administrative expenses |  | 17.4 |  |  | 13.9 |  |  | 33.7 |  |  | 30.3 |
Interest expense |  | 3.4 |  |  | — |  |  | 3.4 |  |  | — |
Total Financial Guarantee expenses |  | 25.6 |  |  | 15.5 |  |  | 44.9 |  |  | 33.8 |
P&C Insurance and Reinsurance (Ark) |  |  |  |  |  |  |  |
Loss and loss adjustment expenses |  | 120.5 |  |  | 52.6 |  |  | 242.5 |  |  | 118.6 |
Insurance and reinsurance acquisition expenses |  | 50.2 |  |  | 34.0 |  |  | 100.1 |  |  | 70.7 |
General and administrative expenses |  | 29.8 |  |  | 24.8 |  |  | 52.9 |  |  | 62.6 |
Interest expense |  | 3.1 |  |  | 1.3 |  |  | 6.9 |  |  | 2.4 |
Total P&C Insurance and Reinsurance expenses |  | 203.6 |  |  | 112.7 |  |  | 402.4 |  |  | 254.3 |
Asset Management (Kudu) |  |  |  |  |  |  |  |
General and administrative expenses |  | 3.0 |  |  | 3.2 |  |  | 5.7 |  |  | 5.7 |
Amortization of other intangible assets |  | .1 |  |  | .1 |  |  | .2 |  |  | .2 |
Interest expense |  | 3.3 |  |  | 1.5 |  |  | 6.1 |  |  | 7.3 |
Total Asset Management expenses |  | 6.4 |  |  | 4.8 |  |  | 12.0 |  |  | 13.2 |
Other Operations |  |  |  |  |  |  |  |
Cost of sales |  | 22.4 |  |  | 17.9 |  |  | 43.8 |  |  | 21.9 |
General and administrative expenses |  | 50.1 |  |  | 29.3 |  |  | 79.0 |  |  | 65.0 |
Amortization of other intangible assets |  | .9 |  |  | .4 |  |  | 1.8 |  |  | .9 |
Interest expense |  | .3 |  |  | .4 |  |  | .6 |  |  | .7 |
Total Other Operations expenses |  | 73.7 |  |  | 48.0 |  |  | 125.2 |  |  | 88.5 |
Total expenses |  | 309.3 |  |  | 181.0 |  |  | 584.5 |  |  | 389.8 |
Pre-tax income (loss) from continuing operations |  | (232.6) |  |  | 161.4 |  |  | (247.4) |  |  | 56.0 |
Income tax (expense) benefit |  | 16.0 |  |  | (30.0) |  |  | 18.7 |  |  | (23.6) |
Net income (loss) from continuing operations |  | (216.6) |  |  | 131.4 |  |  | (228.7) |  |  | 32.4 |
Net gain (loss) from sale of discontinued operations, net of tax - Sirius |  | — |  |  | — |  |  | — |  |  | 18.7 |
Net income (loss) from NSM Group discontinued operations, net of tax |  | 6.4 |  |  | 1.1 |  |  | 10.1 |  |  | (29.1) |
Net income (loss) |  | (210.2) |  |  | 132.5 |  |  | (218.6) |  |  | 22.0 |
Net (income) loss attributable to non-controlling interests |  | 41.0 |  |  | 6.0 |  |  | 82.8 |  |  | 41.2 |
Net income (loss) attributable to White Mountains’s common shareholders |  | $ | (169.2) |  |  | $ | 138.5 |  |  | $ | (135.8) |  |  | $ | 63.2 |

See Notes to Consolidated Financial Statements
4

WHITE MOUNTAINS INSURANCE GROUP, LTD.
CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME
(Unaudited)

|  | Three Months Ended June 30, |  | Six Months Ended June 30,
Millions |  | 2022 |  | 2021 |  | 2022 |  | 2021
Net income (loss) attributable to White Mountains’s common shareholders |  | $ | (169.2) |  |  | $ | 138.5 |  |  | $ | (135.8) |  |  | $ | 63.2 |
Other comprehensive income (loss), net of tax |  | (1.1) |  |  | .5 |  |  | (1.5) |  |  | .2 |
Other comprehensive income (loss) from NSM Group discontinued operations, net of tax |  | (4.0) |  |  | .5 |  |  | (5.9) |  |  | 2.6 |
Comprehensive income (loss) |  | (174.3) |  |  | 139.5 |  |  | (143.2) |  |  | 66.0 |
Other comprehensive (income) loss attributable to non-controlling interests |  | .5 |  |  | (.1) |  |  | .7 |  |  | (.2) |
Comprehensive income (loss) attributable to White Mountains’s common shareholders |  | $ | (173.8) |  |  | $ | 139.4 |  |  | $ | (142.5) |  |  | $ | 65.8 |

Earnings (loss) per share attributable to White Mountains’s common shareholders: |  |  |  |
Basic earnings (loss) per share |  |  |  |  |  |  |  |
Continuing operations |  | $ | (58.78) |  |  | $ | 44.21 |  |  | $ | (48.57) |  |  | $ | 23.35 |
Discontinued operations |  | 1.98 |  |  | .35 |  |  | 3.17 |  |  | (3.00) |
Total consolidated operations |  | $ | (56.80) |  |  | $ | 44.56 |  |  | $ | (45.40) |  |  | $ | 20.35 |
Diluted earnings (loss) per share |  |  |  |  |  |  |  |
Continuing operations |  | $ | (58.78) |  |  | $ | 44.21 |  |  | $ | (48.57) |  |  | $ | 23.35 |
Discontinued operations |  | 1.98 |  |  | .35 |  |  | 3.17 |  |  | (3.00) |
Total consolidated operations |  | $ | (56.80) |  |  | $ | 44.56 |  |  | $ | (45.40) |  |  | $ | 20.35 |
Dividends declared and paid per White Mountains’s common share |  | $ | — |  |  | $ | — |  |  | $ | 1.00 |  |  | $ | 1.00 |

See Notes to Consolidated Financial Statements.
5

WHITE MOUNTAINS INSURANCE GROUP, LTD.
CONSOLIDATED STATEMENTS OF CHANGES IN EQUITY
(Unaudited)

|  | White Mountains’s Common Shareholders’ Equity |  |  |  |
Millions |  | Common shares and paid-in surplus |  | Retained earnings |  | AOCI, after tax |  | Total |  | Non-controlling interest |  | Total Equity
Balance at March 31, 2022 |  | $ | 586.3 |  |  | $ | 2,956.2 |  |  | $ | (.4) |  |  | $ | 3,542.1 |  |  | $ | 127.2 |  |  | $ | 3,669.3 |
Net loss |  | — |  |  | (169.2) |  |  | — |  |  | (169.2) |  |  | (41.0) |  |  | (210.2) |
Net change in foreign currency translation and other |  | — |  |  | — |  |  | (4.6) |  |  | (4.6) |  |  | (.5) |  |  | (5.1) |
Total comprehensive loss |  | — |  |  | (169.2) |  |  | (4.6) |  |  | (173.8) |  |  | (41.5) |  |  | (215.3) |
Dividends to non-controlling interests |  | — |  |  | — |  |  | — |  |  | — |  |  | (6.4) |  |  | (6.4) |
Repurchases and retirements of common shares |  | (10.4) |  |  | (52.2) |  |  | — |  |  | (62.6) |  |  | — |  |  | (62.6) |
Issuances of common shares |  | 2.2 |  |  | — |  |  | — |  |  | 2.2 |  |  | — |  |  | 2.2 |
Issuances of shares of non-controlling interests |  | — |  |  | — |  |  | — |  |  | — |  |  | 74.6 |  |  | 74.6 |
BAM member surplus contribution, net of tax |  | — |  |  | — |  |  | — |  |  | — |  |  | 24.0 |  |  | 24.0 |
Amortization of restricted share awards |  | 3.6 |  |  | — |  |  | — |  |  | 3.6 |  |  | — |  |  | 3.6 |
Recognition of equity-based compensation expense of subsidiaries |  | 6.5 |  |  | — |  |  | — |  |  | 6.5 |  |  | .4 |  |  | 6.9 |
Net contributions and dilution from other non-controlling interests |  | 15.0 |  |  | (9.7) |  |  | — |  |  | 5.3 |  |  | (9.6) |  |  | (4.3) |
Balance at June 30, 2022 |  | $ | 603.2 |  |  | $ | 2,725.1 |  |  | $ | (5.0) |  |  | $ | 3,323.3 |  |  | $ | 168.7 |  |  | $ | 3,492.0 |

|  | White Mountains’s Common Shareholders’ Equity |  |  |  |
Millions |  | Common shares and paid-in surplus |  | Retained earnings |  | AOCI, after tax |  | Total |  | Non-controlling interest |  | Total Equity
Balance at March 31, 2021 |  | $ | 597.9 |  |  | $ | 3,226.7 |  |  | $ | 1.3 |  |  | $ | 3,825.9 |  |  | $ | 110.0 |  |  | $ | 3,935.9 |
Net income (loss) |  | — |  |  | 138.5 |  |  | — |  |  | 138.5 |  |  | (6.0) |  |  | 132.5 |
Net change in foreign currency translation and other |  | — |  |  | — |  |  | .9 |  |  | .9 |  |  | .1 |  |  | 1.0 |
Total comprehensive income (loss) |  | — |  |  | 138.5 |  |  | .9 |  |  | 139.4 |  |  | (5.9) |  |  | 133.5 |
Dividends to non-controlling interests |  | — |  |  | — |  |  | — |  |  | — |  |  | (.6) |  |  | (.6) |
Issuances of common shares |  | 1.7 |  |  | — |  |  | — |  |  | 1.7 |  |  | — |  |  | 1.7 |
Issuance of shares of non-controlling interests |  | — |  |  | — |  |  | — |  |  | — |  |  | 6.1 |  |  | 6.1 |
Repurchases and retirements of common shares |  | — |  |  | — |  |  | — |  |  | — |  |  | — |  |  | — |
BAM member surplus contributions, net of tax |  | — |  |  | — |  |  | — |  |  | — |  |  | 16.3 |  |  | 16.3 |
Amortization of restricted share awards |  | 3.5 |  |  | — |  |  | — |  |  | 3.5 |  |  | — |  |  | 3.5 |
Recognition of equity-based compensation expense of subsidiary |  | 1.3 |  |  | — |  |  | — |  |  | 1.3 |  |  | .3 |  |  | 1.6 |
Net contributions and dilution from other non-controlling interests |  | (7.2) |  |  | 13.4 |  |  | .2 |  |  | 6.4 |  |  | (6.5) |  |  | (.1) |
Acquisition of non-controlling interests |  | — |  |  | — |  |  | — |  |  | — |  |  | 10.1 |  |  | 10.1 |
Balance at June 30, 2021 |  | $ | 597.2 |  |  | $ | 3,378.6 |  |  | $ | 2.4 |  |  | $ | 3,978.2 |  |  | $ | 129.8 |  |  | $ | 4,108.0 |

See Notes to Consolidated Financial Statements.
6

CONSOLIDATED STATEMENTS OF CHANGES IN EQUITY
(Unaudited)

|  | White Mountains’s Common Shareholders’ Equity |  |  |  |
Millions |  | Common shares and paid-in surplus |  | Retained earnings |  | AOCI, after tax |  | Total |  | Non-controlling interest |  | Total Equity
Balance at January 1, 2022 |  | $ | 588.9 |  |  | $ | 2,957.5 |  |  | $ | 1.7 |  |  | $ | 3,548.1 |  |  | $ | 156.6 |  |  | $ | 3,704.7 |
Net income (loss) |  | — |  |  | (135.8) |  |  | — |  |  | (135.8) |  |  | (82.8) |  |  | (218.6) |
Other comprehensive income (loss), net of tax |  | — |  |  | — |  |  | (6.7) |  |  | (6.7) |  |  | (.7) |  |  | (7.4) |
Total comprehensive income (loss) |  | — |  |  | (135.8) |  |  | (6.7) |  |  | (142.5) |  |  | (83.5) |  |  | (226.0) |
Dividends declared on common shares |  | — |  |  | (3.0) |  |  | — |  |  | (3.0) |  |  | — |  |  | (3.0) |
Dividends to non-controlling interests |  | — |  |  | — |  |  | — |  |  | — |  |  | (7.0) |  |  | (7.0) |
Issuances of common shares |  | 3.0 |  |  | — |  |  | — |  |  | 3.0 |  |  | — |  |  | 3.0 |
Issuance of shares of non-controlling interests |  | — |  |  | — |  |  | — |  |  | — |  |  | 74.6 |  |  | 74.6 |
Repurchases and retirements of common shares |  | (17.7) |  |  | (83.9) |  |  | — |  |  | (101.6) |  |  | — |  |  | (101.6) |
BAM member surplus contributions, net of tax |  | — |  |  | — |  |  | — |  |  | — |  |  | 36.3 |  |  | 36.3 |
Amortization of restricted share awards |  | 6.5 |  |  | — |  |  | — |  |  | 6.5 |  |  | — |  |  | 6.5 |
Recognition of equity-based compensation expense of subsidiaries |  | 7.7 |  |  | — |  |  | — |  |  | 7.7 |  |  | .6 |  |  | 8.3 |
Net contributions and dilution from other non-controlling interests |  | 14.8 |  |  | (9.7) |  |  | — |  |  | 5.1 |  |  | (8.9) |  |  | (3.8) |
Balance at June 30, 2022 |  | $ | 603.2 |  |  | $ | 2,725.1 |  |  | $ | (5.0) |  |  | $ | 3,323.3 |  |  | $ | 168.7 |  |  | $ | 3,492.0 |

|  | White Mountains’s Common Shareholders’ Equity |  |  |  |
Millions |  | Common shares and paid-in surplus |  | Retained earnings |  | AOCI, after tax |  | Total |  | Non-controlling interest |  | Total Equity
Balance at January 1, 2021 |  | $ | 595.2 |  |  | $ | 3,311.2 |  |  | $ | (.4) |  |  | $ | 3,906.0 |  |  | $ | (88.1) |  |  | $ | 3,817.9 |
Net income (loss) |  | — |  |  | 63.2 |  |  | — |  |  | 63.2 |  |  | (41.2) |  |  | 22.0 |
Other comprehensive income (loss), net of tax |  | — |  |  | — |  |  | 2.6 |  |  | 2.6 |  |  | .2 |  |  | 2.8 |
Total comprehensive income (loss) |  | — |  |  | 63.2 |  |  | 2.6 |  |  | 65.8 |  |  | (41.0) |  |  | 24.8 |
Dividends declared on common shares |  | — |  |  | (3.1) |  |  | — |  |  | (3.1) |  |  | — |  |  | (3.1) |
Dividends to non-controlling interests |  | — |  |  | — |  |  | — |  |  | — |  |  | (1.2) |  |  | (1.2) |
Issuances of common shares |  | 1.7 |  |  | — |  |  | — |  |  | 1.7 |  |  | — |  |  | 1.7 |
Issuance of shares of non-controlling interests |  | — |  |  | — |  |  | — |  |  | — |  |  | 6.1 |  |  | 6.1 |
Repurchases and retirements of common shares |  | (1.4) |  |  | (6.1) |  |  | — |  |  | (7.5) |  |  | .3 |  |  | (7.2) |
BAM member surplus contributions, net of tax |  | — |  |  | — |  |  | — |  |  | — |  |  | 30.1 |  |  | 30.1 |
Amortization of restricted share awards |  | 7.5 |  |  | — |  |  | — |  |  | 7.5 |  |  | — |  |  | 7.5 |
Recognition of equity-based compensation expense of subsidiary |  | 1.8 |  |  | — |  |  | — |  |  | 1.8 |  |  | — |  |  | 1.8 |
Net contributions and dilution from other non-controlling interests |  | (7.6) |  |  | 13.4 |  |  | .2 |  |  | 6.0 |  |  | (6.7) |  |  | (.7) |
Acquisition of non-controlling interests |  | — |  |  | — |  |  | — |  |  | — |  |  | 230.3 |  |  | 230.3 |
Balance at June 30, 2021 |  | $ | 597.2 |  |  | $ | 3,378.6 |  |  | $ | 2.4 |  |  | $ | 3,978.2 |  |  | $ | 129.8 |  |  | $ | 4,108.0 |

See Notes to Consolidated Financial Statements.
7

WHITE MOUNTAINS INSURANCE GROUP, LTD.
CONSOLIDATED STATEMENTS OF CASH FLOWS

(Unaudited) |  | Six Months Ended June 30,
Millions |  | 2022 |  | 2021
Cash flows from operations: |  |  |  |
Net income (loss) |  | $ | (218.6) |  |  | $ | 22.0 |
Adjustments to reconcile net income to net cash provided from (used for) operations: |  |  |  |
Net realized and unrealized investment (gains) losses |  | 112.5 |  |  | (60.7) |
Net realized and unrealized investment (gains) losses from investment in MediaAlpha |  | 94.7 |  |  | (71.3) |
Deferred income tax expense |  | 4.0 |  |  | 28.5 |
Amortization of restricted share awards |  | 6.5 |  |  | 7.5 |
Amortization and depreciation |  | 8.4 |  |  | 8.2 |
Net (income) loss from NSM Group discontinued operation, net of tax |  | (10.1) |  |  | 29.1 |
Net (gain) loss from sale of Sirius Group, net of tax |  | — |  |  | (18.7) |
Other operating items: |  |  |  |
Net change in reinsurance recoverables |  | 49.7 |  |  | 2.0 |
Net change in insurance premiums receivable |  | (478.8) |  |  | (352.3) |
Net change in ceded unearned premiums |  | (38.3) |  |  | 54.1 |
Net change in loss and loss adjustment expense reserves |  | 127.4 |  |  | 64.0 |
Net change in unearned insurance premiums |  | 532.4 |  |  | 406.0 |
Net change in deferred acquisition costs |  | (85.0) |  |  | (81.5) |
Net change in reinsurance payable |  | (5.3) |  |  | (15.5) |
Net change in restricted cash |  | 2.8 |  |  | 4.0 |
Investments in Kudu Participation Contracts |  | (52.8) |  |  | (11.3) |
Net change in other assets and liabilities, net |  | (46.3) |  |  | (42.6) |
Net cash provided from (used for) operations - continuing operations |  | 3.2 |  |  | (28.5) |
Net cash provided from (used for) operations - NSM Group discontinued operations (Note 19) |  | 36.7 |  |  | 42.4 |
Net cash provided from (used for) operations |  | 39.9 |  |  | 13.9 |
Cash flows from investing activities: |  |  |  |
Net change in short-term investments |  | 212.6 |  |  | (8.3) |
Sales of fixed maturity investments |  | 153.4 |  |  | 127.2 |
Maturities, calls and paydowns of fixed maturity investments |  | 75.6 |  |  | 86.4 |
Sales of common equity securities and investment in MediaAlpha |  | — |  |  | 176.8 |
Distributions and redemptions of other long-term investments |  | 46.5 |  |  | 58.1 |
Proceeds from the sale of consolidated subsidiaries, net of cash sold of $0.0 and $0.0 |  | 19.5 |  |  | — |
Release of cash pre-funded/placed in escrow for Ark Transaction |  | — |  |  | 646.3 |
Purchases of consolidated subsidiaries, net of cash acquired of $0.3 and $52.2 |  | (67.9) |  |  | 10.6 |
Purchases of other long-term investments |  | (50.4) |  |  | (130.2) |
Purchases of common equity securities |  | (38.1) |  |  | (103.7) |
Purchases of fixed maturity investments |  | (330.8) |  |  | (764.3) |
Other investing activities, net |  | 5.7 |  |  | (6.0) |
Net cash provided from (used for) investing activities - continuing operations |  | 26.1 |  |  | 92.9 |
Net cash provided from (used for) investing activities - NSM Group discontinued operations (Note 19) |  | 7.1 |  |  | (2.6) |
Net cash provided from (used for) investing activities |  | 33.2 |  |  | 90.3 |
Cash flows from financing activities: |  |  |  |
Draw down of debt and revolving line of credit |  | 203.0 |  |  | 105.3 |
Repayment of debt and revolving line of credit |  | (2.4) |  |  | (94.2) |
Cash dividends paid to the Company’s common shareholders |  | (3.0) |  |  | (3.1) |
Common shares repurchased |  | (101.6) |  |  | (7.4) |
Net distributions from non-controlling interest shareholders |  | (6.5) |  |  | (1.1) |
Contributions from discontinued operations |  | 11.6 |  |  | — |
Capital contributions from BAM members |  | 36.3 |  |  | 30.1 |
Acquisition of subsidiary shares by non-controlling interest shareholders |  | 74.6 |  |  | 6.1 |
Fidus Re premium payment |  | (3.8) |  |  | (5.0) |
Other financing activities, net |  | (1.8) |  |  | (7.8) |
Net cash provided from (used for) financing activities - continuing operations |  | 206.4 |  |  | 22.9 |
Net cash provided from (used for) financing activities - NSM Group discontinued operations (Note 19) |  | (16.9) |  |  | (11.2) |
Net cash provided from (used for) financing activities |  | 189.5 |  |  | 11.7 |
Net change in cash during the period - continuing operations |  | 235.7 |  |  | 87.3 |
Cash balances at beginning of period (includes restricted cash balances of $4.5 and $— and excludes discontinued operations cash balances of $111.6 and $126.6) |  | 147.7 |  |  | 84.6 |
Cash balances at end of period (includes restricted cash balances of $7.3 and $4.0 and excludes discontinued operations cash balances of $142.7 and 154.8) |  | $ | 383.4 |  |  | $ | 171.9 |
Supplemental cash flows information: |  |  |  |
Interest paid |  | $ | (6.3) |  |  | $ | (3.4) |
Net income tax payments |  | $ | (3.8) |  |  | $ | (2.1) |

See Notes to Consolidated Financial Statements
8

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (Unaudited)
Note 1. Basis of Presentation and Significant Accounting Policies
Basis of Presentation
White Mountains Insurance Group, Ltd. (the “Company” or the “Registrant”) is an exempted Bermuda limited liability company whose principal businesses are conducted through its subsidiaries and other affiliates. The Company’s headquarters is located at 26 Reid Street, Hamilton, Bermuda HM 11, its principal executive office is located at 23 South Main Street, Suite 3B, Hanover, New Hampshire 03755-2053 and its registered office is located at Clarendon House, 2 Church Street, Hamilton, Bermuda HM 11. The Company’s website is www.whitemountains.com. The information contained on White Mountains’s website is not incorporated by reference into, and is not a part of, this report.
The accompanying consolidated financial statements have been prepared in accordance with generally accepted accounting principles in the United States (“GAAP”) and include the accounts of the Company, its subsidiaries (collectively with the Company, “White Mountains”) and other entities required to be consolidated under GAAP. Intercompany transactions have been eliminated in consolidation. Certain amounts in the prior period financial statements have been reclassified to conform to the current presentation.
The preparation of financial statements in conformity with GAAP requires management to make estimates and assumptions that affect the reported amounts of assets and liabilities and disclosure of contingent assets and liabilities as of the date of the financial statements and the reported amounts of revenues and expenses during the reporting period. Actual results could differ from those estimates.
These interim financial statements include all adjustments considered necessary by management to fairly state the financial position, results of operations and cash flows of White Mountains. These interim financial statements may not be indicative of financial results for the full year and should be read in conjunction with the Company’s 2021 Annual Report on Form 10-K.
Reportable Segments
White Mountains has determined its reportable segments based on the nature of the underlying businesses, the manner in which the Company’s subsidiaries and affiliates are organized and managed and the organization of the financial information provided to the chief operating decision maker to assess performance and make decisions regarding allocation of resources. As of June 30, 2022, White Mountains’s reportable segments were HG Global/BAM, Ark, Kudu and Other Operations.
The HG Global/BAM segment consists of HG Global Ltd. and its wholly-owned subsidiaries (“HG Global”) and the consolidated results of Build America Mutual Assurance Company (“BAM”) (collectively, “HG Global/BAM”). BAM is the first and only mutual municipal bond insurance company in the United States. By insuring the timely payment of principal and interest, BAM provides market access to, and lowers interest expense for, issuers of municipal bonds used to finance essential public purpose projects, such as schools, utilities and transportation facilities. BAM is owned by and operated for the benefit of its members, the municipalities that purchase BAM’s insurance for their debt issuances. HG Global was established to fund the startup of BAM and, through its reinsurance subsidiary, HG Re Ltd. (“HG Re”), to provide up to 15%-of-par, first loss reinsurance protection for policies underwritten by BAM. HG Global, together with its subsidiaries, funded the initial capitalization of BAM through the purchase of $503.0 million of surplus notes issued by BAM (the “BAM Surplus Notes”). As of June 30, 2022 and December 31, 2021, White Mountains owned 96.9% of HG Global’s preferred equity and 88.4% of its common equity. White Mountains does not have an ownership interest in BAM. However, White Mountains is required to consolidate BAM’s results in its financial statements because BAM is a variable interest entity for which White Mountains is the primary beneficiary. BAM’s results are all attributed to non-controlling interests.
The Ark segment consists of Ark Insurance Holdings Limited and its subsidiaries (collectively, “Ark”). Ark is a specialty property and casualty insurance and reinsurance company that offers a wide range of niche insurance and reinsurance products, including property, marine & energy, specialty, accident & health and casualty. Ark underwrites select coverages through Lloyd’s Syndicates 4020 and 3902 (the “Syndicates”) and its wholly-owned subsidiary Group Ark Insurance Limited (“GAIL”). White Mountains acquired a controlling ownership interest in Ark on January 1, 2021 (the “Ark Transaction”). See Note 2 — “Significant Transactions.” As of June 30, 2022 and December 31, 2021, White Mountains owned 72.0% of Ark on a basic shares outstanding basis (63.0% after taking account of management’s equity incentives). The remaining shares are owned by current and former employees. In the future, management rollover shareholders could earn additional shares in Ark if and to the extent that White Mountains achieves certain multiple of invested capital return thresholds. If fully earned, these additional shares would represent 12.5% of the shares outstanding at closing. For the years of account prior to the Ark Transaction, a significant proportion of the Syndicates’ underwriting capital was provided by third-party insurance and reinsurance groups (“TPC Providers”) using whole account reinsurance contracts with Ark’s corporate member. For the years of account subsequent to the Ark Transaction, Ark is no longer using TPC Providers to provide underwriting capital for the Syndicates. Captions within results of operations and other comprehensive income are shown net of amounts relating to the TPC Providers share of the Syndicates’ results, including investment results.
9

The Kudu segment consists of Kudu Investment Management, LLC and its subsidiaries (collectively “Kudu”). Kudu provides capital solutions for boutique asset and wealth managers for a variety of purposes including generational ownership transfers, management buyouts, acquisition and growth finance and legacy partner liquidity. Kudu also provides strategic assistance to investees from time to time. Kudu’s capital solutions typically are structured as minority preferred equity stakes with distribution rights, generally tied to gross revenues and designed to generate strong, stable cash yields. As of June 30, 2022 and December 31, 2021, White Mountains owned 89.3% and 99.3% of the basic units outstanding (76.1% and 84.7% on a fully diluted, fully converted basis).
The Other Operations segment consists of the Company and its wholly-owned subsidiary, White Mountains Capital, LLC (“WM Capital”), its other intermediate holding companies, its wholly-owned investment management subsidiary, White Mountains Advisors LLC (“WM Advisors”), investment assets managed by WM Advisors, its interests in MediaAlpha, Inc. (“MediaAlpha”), PassportCard Limited (“PassportCard”) and DavidShield Life Insurance Agency (2000) Ltd. (“DavidShield”) (collectively, “PassportCard/DavidShield”), Elementum Holdings LP (“Elementum”), and certain other consolidated and unconsolidated entities (“Other Operating Businesses”) and certain other assets.
Discontinued Operations
On May 9, 2022, White Mountains Holdings (Luxembourg) S.à r.l. (“WTM Holdings Seller”) and White Mountains Catskill Holdings, Inc. (“NSM Holdings”), each an indirect wholly owned subsidiary of the Company, entered into a securities purchase agreement (the “NSM SPA”) together with NSM Insurance HoldCo, LLC (“NSM” and, collectively with NSM Holdings, the “NSM Group”) to sell NSM Holdings for cash (the “NSM Transaction”) to investment funds affiliated with The Carlyle Group Inc. (“Carlyle”). See Note 2 — “Significant Transactions.” NSM is a full-service managing general agent (“MGA”) and program administrator with delegated binding authorities for specialty property and casualty insurance. As of June 30, 2022 and December 31, 2021, White Mountains owned 96.5% of the basic units outstanding of NSM (87.3% on a fully diluted, fully converted basis).
As a result of the NSM Transaction, effective as of and for the periods ended June 30, 2022, the assets and liabilities of NSM Group have been presented in the balance sheet as held for sale and the results of operations for NSM Group have been classified as discontinued operations in the statements of operations and comprehensive income. Prior period amounts have been reclassified to conform to the current period’s presentation. See Note 19 — “Held for Sale and Discontinued Operations.”
Significant Accounting Policies
Refer to the Company’s 2021 Annual Report on Form 10-K for a complete discussion regarding White Mountains’s significant accounting policies.
Note 2. Significant Transactions
NSM
On May 9, 2022, WTM Holdings Seller entered into the NSM SPA to sell 100% of White Mountains’s equity interest in NSM Group to investment funds affiliated with Carlyle. The NSM Transaction closed on August 1, 2022. White Mountains received $1.4 billion in net cash proceeds at closing and recognized a net transaction gain of approximately $870.0 million in the third quarter of 2022. The amount received at closing was based on estimates of cash, indebtedness, working capital and transaction expenses. The proceeds may be adjusted upon determination of the final closing amounts.
Kudu
On May 26, 2022, Kudu raised $114.5 million of equity capital (the “Kudu Transaction”) from Massachusetts Mutual Life Insurance Company (“Mass Mutual”), White Mountains and Kudu management. Mass Mutual, White Mountains and Kudu management contributed $64.1 million, $50.0 million and $0.4 million and in each case, at a pre-money valuation of 1.3x, or $114.0 million above the December 31, 2021 equity value of Kudu’s go-forward portfolio of participation contracts. As of June 30, 2022, Kudu’s go-forward portfolio of participation contracts excludes $39.1 million of enterprise value relating to two portfolio companies that had announced sale transactions prior to the capital raise. As a result of the Kudu Transaction, White Mountains’s basic ownership of Kudu decreased from 99.1% to 89.3%.
10

Ark
On October 1, 2020, White Mountains entered into a subscription and purchase agreement (the “Ark SPA”) with Ark and certain selling shareholders (collectively with Ark, the “Ark Sellers”). Under the terms of the Ark SPA, White Mountains agreed to contribute $605.4 million of equity capital to Ark, at a pre-money valuation of $300.0 million, and to purchase $40.9 million of shares from the Ark Sellers. White Mountains also agreed to contribute up to an additional $200.0 million of equity capital to Ark in 2021. In accordance with the Ark SPA, in the fourth quarter of 2020, White Mountains pre-funded/placed in escrow a total of $646.3 million in preparation for closing the Ark Transaction, including $280.0 million funded directly to Lloyd’s on behalf of Ark under the terms of a credit facility agreement and $366.3 million placed in escrow.
On January 1, 2021, White Mountains completed the Ark Transaction in accordance with the terms of the Ark SPA. As of June 30, 2022, White Mountains owned 72.0% of Ark on a basic shares outstanding basis (63.0%) after taking account of management’s equity incentives). The remaining shares are owned by current and former employees. In the future, management rollover shareholders could earn additional shares in Ark if and to the extent that White Mountains achieves certain multiple of invested capital return thresholds. If fully earned, these additional shares would represent 12.5% of the shares outstanding at closing.
White Mountains recognized total assets acquired related to the Ark Transaction of $2.5 billion, including goodwill and other intangible assets of $292.5 million, and total liabilities of $1.7 billion, including contingent consideration of $22.5 million and non-controlling interest of $220.2 million. Ark incurred transaction costs of $25.3 million in the first quarter of 2021.
In the third quarter of 2021, Ark issued $163.3 million of floating rate unsecured subordinated notes (the “Ark 2021 Subordinated Notes”) in three separate transactions. See Note 7 — “Debt.” In connection with the issuance of the Ark 2021 Subordinated Notes, White Mountains and Ark terminated White Mountains’s commitment to provide up to $200.0 million of additional equity capital to Ark in 2021.
The following presents additional details of the assets acquired and liabilities assumed as of the January 1, 2021 acquisition date:

Millions |  | As of January 1, 2021 |
Investments |  | $ | 594.3 |
Cash |  | 52.0 | (1)
Reinsurance recoverables |  | 433.4 |
Insurance premiums receivable |  | 236.7 |
Ceded unearned premiums |  | 170.2 |
Value of in-force business acquired |  | 71.7 |
Other assets |  | 88.9 |
Loss and loss adjustment expense reserves |  | (696.0) |
Unearned insurance premiums |  | (326.1) |
Debt |  | (46.4) |
Ceded reinsurance payable |  | (528.3) |
Other liabilities |  | (25.9) |
Net tangible assets acquired |  | 24.5 |
Goodwill |  | 116.8 |
Other intangible assets - syndicate underwriting capacity |  | 175.7 |
Deferred tax liability on other intangible assets |  | (33.4) |
Net assets acquired |  | $ | 283.6 |

(1) Cash excludes the White Mountains cash contribution of $605.4 as part of the Ark transaction.
The values of net tangible assets acquired and the resulting goodwill, other intangible assets and contingent consideration were recorded at fair value using Level 3 inputs. The majority of the tangible assets acquired and liabilities assumed were recorded at their carrying values, as their carrying values approximated their fair values due to their short-term nature. The fair values of goodwill, other intangible assets and the contingent consideration liability were internally estimated primarily based on the income approach. The income approach estimates fair value based on the present value of the cash flows that the assets are expected to generate in the future. White Mountains developed internal estimates for the expected future cash flows and discount rates used in the present value calculations.
11

The value of in-force business acquired represents the estimated profits relating to the unexpired contracts, net of related prepaid reinsurance, at the acquisition date through the expiration date of the contracts. For the three and six months ended June 30, 2022, Ark recognized $1.4 million and $6.1 million of amortization expense on the value of in-force business acquired. For the three and six months ended June 30, 2021, Ark recognized $15.1 million and $43.9 million of amortization expense on the value of in-force business acquired. The value of the syndicate underwriting capacity intangible asset was estimated using net cash flows attributable to Ark’s rights to write business in the Lloyd’s market. The value of the in-force business acquired and the syndicate underwriting capacity were estimated using a discounted cash flow method. Significant inputs to the valuation models include estimates of growth in premium revenues, investment returns, claim costs, expenses and discount rates based on a weighted average cost of capital.
In evaluating the fair value of Ark’s loss and loss adjustment expense reserves (“LAE”), White Mountains determined that the risk-free rate of interest was approximately equal to the risk factor reflecting the uncertainty within the reserves and that no adjustment was necessary.
As of June 30, 2022 and December 31, 2021, Ark recognized total contingent consideration liabilities of $30.2 million and $28.0 million. Any future adjustments to contingent consideration liabilities will be recognized through pre-tax income (loss). For the three and six months ended June 30, 2022, Ark recognized pre-tax expense of $0.1 million and $2.2 million and for the change in the fair value of its contingent consideration liabilities. For the three and six months ended June 30, 2021, Ark did not recognize any pre-tax income (loss) for the change in the fair value of its contingent consideration liabilities.
MediaAlpha
On October 30, 2020, MediaAlpha completed an initial public offering (the “MediaAlpha IPO”). In the offering, White Mountains sold 3.6 million shares at $19.00 per share ($17.67 per share net of underwriting fees) and received total proceeds of $63.8 million. White Mountains also received $55.0 million of net proceeds related to a dividend recapitalization at MediaAlpha.
Subsequent to the MediaAlpha IPO, White Mountains’s investment in MediaAlpha is accounted for at fair value based on the publicly traded share price of MediaAlpha’s common stock, and White Mountains presents its investment in MediaAlpha as a separate line item on the balance sheet.
On March 23, 2021, MediaAlpha completed a secondary offering of 8.05 million shares. In the secondary offering, White Mountains sold 3.6 million shares at $46.00 per share ($44.62 per share net of underwriting fees) for net proceeds of $160.3 million.
As of June 30, 2022, White Mountains owned 16.9 million shares, representing a 27.6% basic ownership interest (25.0% fully-diluted/fully-converted basis). At this current level of ownership, each $1.00 per share increase or decrease in the share price of MediaAlpha will result in an approximate $5.80 per share increase or decrease in White Mountains’s book value per share. At the June 30, 2022 closing price of $9.85 per share, the fair value of White Mountains’s investment in MediaAlpha was $166.9 million. See Note 16 — “Equity-Method Eligible Investments.”
PassportCard/DavidShield
On January 24, 2018, White Mountains acquired a 50.0% ownership interest in DavidShield, its joint venture partner in PassportCard. DavidShield is an MGA that is the leading provider of expatriate medical insurance in Israel and uses the same card-based delivery system as PassportCard. As part of the transaction, White Mountains reorganized its equity stake in PassportCard so that White Mountains and its partner in DavidShield would each own 50.0% of both businesses. To facilitate the transaction, White Mountains provided financing to its partner in the form of a non-interest bearing loan that is secured by the partner’s equity in PassportCard and DavidShield. The gross purchase price for the 50.0% interest in DavidShield was $41.8 million, or $28.3 million net of the financing provided for the restructuring.
On May 7, 2020, White Mountains made an additional $15.0 million investment in PassportCard/DavidShield to support operations through the ongoing COVID-19 pandemic. The transaction increased White Mountains’s ownership interest from 50.0% to 53.8%, but had no impact on the governance structure of the companies, including White Mountains’s board representation or other investor rights. The governance structures for both PassportCard and DavidShield were designed to give White Mountains and its co-investor equal power to make the decisions that most significantly impact the operations of PassportCard and DavidShield. Because White Mountains does not have the unilateral power to direct the operations of PassportCard or DavidShield, White Mountains does not hold a controlling financial interest in either PassportCard or DavidShield and does not consolidate either entity. White Mountains’s ownership interest gives White Mountains the opportunity to exert significant influence over the significant financial and operating activities of PassportCard and DavidShield. Accordingly, PassportCard and DavidShield meet the criteria to be accounted for under the equity method. White Mountains has taken the fair value option for its investment in PassportCard and DavidShield. Changes in the fair value of PassportCard and DavidShield are recorded in realized and unrealized investment gains. White Mountains’s maximum exposure to loss on its equity investment in PassportCard/DavidShield and the non-interest bearing loan to its partner is limited to the total carrying value of $143.0 million.
12

Note 3. Investment Securities
White Mountains’s portfolio of investment securities held for general investment purposes consists of fixed maturity investments, short-term investments, common equity securities, its investment in MediaAlpha and other long-term investments, which are classified as trading securities. Trading securities are reported at fair value as of the balance sheet date. Net realized and unrealized investment gains (losses) on trading securities are reported in pre-tax revenues.
White Mountains’s fixed maturity investments are generally valued using industry standard pricing methodologies. Key inputs include benchmark yields, benchmark securities, reported trades, issuer spreads, bids, offers, credit ratings and prepayment speeds. Income on mortgage and asset-backed securities is recognized using an effective yield based on anticipated prepayments and the estimated economic life of the securities. When actual prepayments differ significantly from anticipated prepayments, the estimated economic life is recalculated and the remaining unamortized premium or discount is amortized prospectively over the remaining economic life.
Realized investment gains (losses) resulting from sales of investment securities are accounted for using the specific identification method. Premiums and discounts on all fixed maturity investments are amortized or accreted to income over the anticipated life of the investment. Short-term investments consist of interest-bearing money market funds, certificates of deposit and other securities, which at the time of purchase, mature or become available for use within one year. Short-term investments are carried at fair value, which approximated amortized cost, as of June 30, 2022 and December 31, 2021.
Other long-term investments consist primarily of unconsolidated entities, including Kudu’s Participation Contracts, private equity funds and hedge funds, a bank loan fund, Lloyd’s trust deposits, insurance-linked securities (“ILS”) funds and private debt investments.
Net Investment Income
White Mountains’s net investment income is comprised primarily of interest income associated with White Mountains’s fixed maturity investments and short-term investments, dividend income from common equity securities, distributions from its investment in MediaAlpha and distributions from other long-term investments.
The following table presents pre-tax net investment income for the three and six months ended June 30, 2022 and 2021:

|  | Three Months Ended |  | Six Months Ended
|  | June 30, |  | June 30,
Millions |  | 2022 |  | 2021 |  | 2022 |  | 2021
Fixed maturity investments |  | $ | 9.4 |  |  | $ | 7.2 |  |  | $ | 17.6 |  |  | $ | 13.7 |
Short-term investments |  | .4 |  |  | (1.1) |  |  | .5 |  |  | .5 |
Common equity securities |  | .1 |  |  | — |  |  | .1 |  |  | — |
Other long-term investments |  | 15.6 |  |  | 11.3 |  |  | 28.8 |  |  | 25.1 |
Amount attributable to TPC Providers |  | — |  |  | .3 |  |  | (.5) |  |  | (.6) |
Total investment income |  | 25.5 |  |  | 17.7 |  |  | 46.5 |  |  | 38.7 |
Third-party investment expenses |  | (.4) |  |  | (.6) |  |  | (.8) |  |  | (1.0) |
Net investment income, pre-tax |  | $ | 25.1 |  |  | $ | 17.1 |  |  | $ | 45.7 |  |  | $ | 37.7 |

13

Net Realized and Unrealized Investment Gains (Losses)
The following table presents net realized and unrealized investment gains (losses) for the three and six months ended June 30, 2022 and 2021:

|  | Three Months Ended June 30, |  | Six Months Ended June 30,
Millions |  | 2022 |  | 2021 |  | 2022 |  | 2021
Realized investment gains (losses) |  |  |  |  |  |  |  |
Fixed maturity investments |  | $ | (4.8) |  |  | $ | .9 |  |  | $ | (5.9) |  |  | $ | 2.8 |
Short-term investments |  | (.1) |  |  | .6 |  |  | (.3) |  |  | .3 |
Common equity securities |  | — |  |  | .4 |  |  | — |  |  | .4 |
Investment in MediaAlpha |  | — |  |  | — |  |  | — |  |  | 160.3 |
Other long-term investments |  | 2.0 |  |  | 10.5 |  |  | 20.7 |  |  | (8.3) |
Net realized investment gains (losses) |  | (2.9) |  |  | 12.4 |  |  | 14.5 |  |  | 155.5 |
Unrealized investment gains (losses) |  |  |  |  |  |  |  |
Fixed maturity investments |  | (54.6) |  |  | 8.2 |  |  | (134.1) |  |  | (19.2) |
Short-term investments |  | (.7) |  |  | 1.0 |  |  | (.5) |  |  | — |
Common equity securities |  | (11.6) |  |  | 4.6 |  |  | (10.6) |  |  | 5.6 |
Investment in MediaAlpha |  | (113.5) |  |  | 113.0 |  |  | (94.7) |  |  | (89.0) |
Other long-term investments |  | (37.0) |  |  | 36.9 |  |  | 13.4 |  |  | 83.9 |
Net unrealized investment gains (losses) |  | (217.4) |  |  | 163.7 |  |  | (226.5) |  |  | (18.7) |
Net realized and unrealized investment gains (losses), before amount attributable to TPC providers(1) |  | (220.3) |  |  | 176.1 |  |  | (212.0) |  |  | 136.8 |
Amount attributable to TPC Providers |  | 2.7 |  |  | (3.5) |  |  | 4.8 |  |  | (4.8) |
Net realized and unrealized investment gains (losses) |  | $ | (217.6) |  |  | $ | 172.6 |  |  | $ | (207.2) |  |  | $ | 132.0 |
Fixed maturity and short-term investments |  |  |  |  |  |  |  |
Net realized and unrealized investment gains (losses) |  | $ | (60.2) |  |  | $ | 10.7 |  |  | $ | (140.8) |  |  | $ | (16.1) |
Less: net realized and unrealized gains (losses) on investment securities sold during the period |  | (2.1) |  |  | (.3) |  |  | (3.1) |  |  | (1.3) |
Net unrealized investment gains (losses) on investment securities held at the end of the period |  | $ | (58.1) |  |  | $ | 11.0 |  |  | $ | (137.7) |  |  | $ | (14.8) |
Common equity securities and investment in MediaAlpha |  |  |  |  |  |  |  |
Net realized and unrealized investment gains (losses) on common equity securities |  | $ | (11.6) |  |  | $ | 5.0 |  |  | $ | (10.6) |  |  | $ | 6.0 |
Net realized and unrealized investment gains (losses) from investment in MediaAlpha |  | (113.5) |  |  | 113.0 |  |  | (94.7) |  |  | 71.3 |
Total net realized and unrealized investment gains (losses) |  | (125.1) |  |  | 118.0 |  |  | (105.3) |  |  | 77.3 |
Less: net realized and unrealized gains (losses) on investment securities sold during the period |  | — |  |  | — |  |  | — |  |  | 19.9 |
Net unrealized investment gains (losses) on investment securities held at the end of the period |  | $ | (125.1) |  |  | $ | 118.0 |  |  | $ | (105.3) |  |  | $ | 57.4 |

(1) For the three months ended June 30, 2022 and 2021, includes $(24.5) and $(0.2) of realized and unrealized investment gains (losses) related to foreign currency exchange. For the six months ended June 30, 2022 and 2021, includes $(21.8) and $(0.4) of realized and unrealized investment gains (losses) related to foreign currency exchange.
The following table presents total gains included in earnings attributable to net unrealized investment gains for Level 3 investments for the three and six months ended June 30, 2022 and 2021 for investments still held at the end of the period:

|  | Three Months Ended |  |  | Six Months Ended
|  | June 30, |  |  | June 30,
Millions |  | 2022 |  | 2021 |  |  | 2022 |  | 2021
Other long-term investments |  | $ | (10.2) |  |  | $ | 32.3 |  |  |  | $ | 17.0 |  |  | $ | 49.0 |
Total net unrealized investment gains, pre-tax - Level 3 investments |  | $ | (10.2) |  |  | $ | 32.3 |  |  |  | $ | 17.0 |  |  | $ | 49.0 |

14

Investment Holdings
The following tables present the cost or amortized cost, gross unrealized investment gains (losses), net foreign currency gains (losses) and carrying values of White Mountains’s fixed maturity investments as of June 30, 2022 and December 31, 2021:

|  | June 30, 2022
Millions |  | Cost or Amortized Cost |  | Gross Unrealized Gains |  | Gross Unrealized Losses |  | Net Foreign Currency Gains (Losses) |  | Carrying Value
U.S. Government and agency obligations |  | $ | 233.0 |  |  | $ | — |  |  | $ | (7.2) |  |  | $ | — |  |  | $ | 225.8 |
Debt securities issued by corporations |  | 1,043.5 |  |  | .5 |  |  | (67.4) |  |  | (2.4) |  |  | 974.2 |
Municipal obligations |  | 291.8 |  |  | 1.0 |  |  | (12.5) |  |  | — |  |  | 280.3 |
Mortgage and asset-backed securities |  | 268.5 |  |  | — |  |  | (23.9) |  |  | — |  |  | 244.6 |
Collateralized loan obligations |  | 150.8 |  |  | — |  |  | (6.0) |  |  | (3.0) |  |  | 141.8 |
Total fixed maturity investments |  | $ | 1,987.6 |  |  | $ | 1.5 |  |  | $ | (117.0) |  |  | $ | (5.4) |  |  | $ | 1,866.7 |

|  | December 31, 2021
Millions |  | Cost or Amortized Cost |  | Gross Unrealized Gains |  | Gross Unrealized Losses |  | Net Foreign Currency Gains (Losses) |  | Carrying Value
U.S. Government and agency obligations |  | $ | 212.1 |  |  | $ | .5 |  |  | $ | (1.1) |  |  | $ | — |  |  | $ | 211.5 |
Debt securities issued by corporations |  | 993.3 |  |  | 8.7 |  |  | (8.7) |  |  | (.4) |  |  | 992.9 |
Municipal obligations |  | 276.4 |  |  | 16.8 |  |  | (1.3) |  |  | — |  |  | 291.9 |
Mortgage and asset-backed securities |  | 277.2 |  |  | 2.9 |  |  | (2.5) |  |  | — |  |  | 277.6 |
Collateralized loan obligations |  | 136.5 |  |  | — |  |  | (.4) |  |  | (1.1) |  |  | 135.0 |
Total fixed maturity investments |  | $ | 1,895.5 |  |  | $ | 28.9 |  |  | $ | (14.0) |  |  | $ | (1.5) |  |  | $ | 1,908.9 |

The following table presents the cost or amortized cost and carrying values of White Mountains’s fixed maturity investments by contractual maturity as of June 30, 2022. Actual maturities could differ from contractual maturities because borrowers may have the right to call or prepay certain obligations with or without call or prepayment penalties.

|  | June 30, 2022
Millions |  | Cost or Amortized Cost |  | Carrying Value
Due in one year or less |  | $ | 205.1 |  |  | $ | 202.2 |
Due after one year through five years |  | 892.5 |  |  | 843.7 |
Due after five years through ten years |  | 361.1 |  |  | 330.0 |
Due after ten years |  | 109.6 |  |  | 104.4 |
Mortgage and asset-backed securities and collateralized loan obligations |  | 419.3 |  |  | 386.4 |
Total fixed maturity investments |  | $ | 1,987.6 |  |  | $ | 1,866.7 |

15

The following tables present the cost or amortized cost, gross unrealized investment gains (losses), net foreign currency gains (losses), and carrying values of common equity securities, White Mountains’s investment in MediaAlpha and other long-term investments as of June 30, 2022 and December 31, 2021:

|  | June 30, 2022
Millions |  | Cost or Amortized Cost |  | Gross Unrealized Gains |  | Gross Unrealized Losses |  | Net Foreign Currency Gains (Losses) |  | Carrying Value
Common equity securities |  | $ | 274.3 |  |  | $ | 20.9 |  |  | $ | (6.7) |  |  | $ | (9.9) |  |  | $ | 278.6 |
Investment in MediaAlpha |  | $ | — |  |  | $ | 166.9 |  |  | $ | — |  |  | $ | — |  |  | $ | 166.9 |
Other long-term investments |  | $ | 1,264.2 |  |  | $ | 295.6 |  |  | $ | (81.1) |  |  | $ | (10.0) |  |  | $ | 1,468.7 |

|  | December 31, 2021
Millions |  | Cost or Amortized Cost |  | Gross Unrealized Gains |  | Gross Unrealized Losses |  | Net Foreign Currency Gains (Losses) |  | Carrying Value
Common equity securities |  | $ | 236.3 |  |  | $ | 16.1 |  |  | $ | — |  |  | $ | (1.3) |  |  | $ | 251.1 |
Investment in MediaAlpha |  | $ | — |  |  | $ | 261.6 |  |  | $ | — |  |  | $ | — |  |  | $ | 261.6 |
Other long-term investments |  | $ | 1,186.7 |  |  | $ | 239.0 |  |  | $ | (44.1) |  |  | $ | (3.8) |  |  | $ | 1,377.8 |

Fair Value Measurements
Fair value measurements are categorized into a hierarchy that distinguishes between inputs based on market data from independent sources (observable inputs) and a reporting entity’s internal assumptions based upon the best information available when external market data is limited or unavailable (unobservable inputs). Quoted prices in active markets for identical assets or liabilities have the highest priority (Level 1), followed by observable inputs other than quoted prices, including prices for similar but not identical assets or liabilities (Level 2) and unobservable inputs, including the reporting entity’s estimates of the assumptions that market participants would use, having the lowest priority (Level 3). See Note 19 — “Fair Value of Financial Instruments.”
As of June 30, 2022 and December 31, 2021, White Mountains used quoted market prices or other observable inputs to determine fair value for approximately 64% and 68% of the investment portfolio.
Fair Value Measurements by Level
The following tables present White Mountains’s fair value measurements for investments as of June 30, 2022 and December 31, 2021 by level. The major security types were based on the legal form of the securities. White Mountains has disaggregated its fixed maturity investments based on the issuing entity type, which impacts credit quality, with debt securities issued by U.S. government entities carrying minimal credit risk, while the credit and other risks associated with other issuers, such as corporations, municipalities or entities issuing mortgage and asset-backed securities vary depending on the nature of the issuing entity type. White Mountains further disaggregates debt securities issued by corporations by industry sector because investors often reference commonly used benchmarks and their subsectors to monitor risk and performance. Accordingly, White Mountains has further disaggregated this asset class into subclasses based on the similar sectors and industry classifications it uses to evaluate investment risk and performance against commonly used benchmarks, such as the Bloomberg Barclays U.S. Intermediate Aggregate.
16

|  | June 30, 2022
Millions |  | Fair Value |  | Level 1 |  | Level 2 |  | Level 3
Fixed maturity investments: |  |  |  |  |  |  |  |
U.S. Government and agency obligations |  | $ | 225.8 |  |  | $ | 225.8 |  |  | $ | — |  |  | $ | — |
Debt securities issued by corporations: |  |  |  |  |  |  |  |
Financials |  | 263.5 |  |  | — |  |  | 263.5 |  |  | — |
Consumer |  | 176.8 |  |  | — |  |  | 176.8 |  |  | — |
Technology |  | 117.9 |  |  | — |  |  | 117.9 |  |  | — |
Industrial |  | 112.7 |  |  | — |  |  | 112.7 |  |  | — |
Healthcare |  | 105.9 |  |  | — |  |  | 105.9 |  |  | — |
Utilities |  | 75.1 |  |  | — |  |  | 75.1 |  |  | — |
Communications |  | 57.8 |  |  | — |  |  | 57.8 |  |  | — |
Energy |  | 40.3 |  |  | — |  |  | 40.3 |  |  | — |
Materials |  | 24.2 |  |  | — |  |  | 24.2 |  |  | — |
Total debt securities issued by corporations |  | 974.2 |  |  | — |  |  | 974.2 |  |  | — |
Municipal obligations |  | 280.3 |  |  | — |  |  | 280.3 |  |  | — |
Mortgage and asset-backed securities |  | 244.6 |  |  | — |  |  | 244.6 |  |  | — |
Collateralized loan obligations |  | 141.8 |  |  | — |  |  | 141.8 |  |  | — |
Total fixed maturity investments |  | 1,866.7 |  |  | 225.8 |  |  | 1,640.9 |  |  | — |
Short-term investments |  | 245.1 |  |  | 245.1 |  |  | — |  |  | — |
Common equity securities (1) |  | 278.6 |  |  | — |  |  | 278.6 |  |  | — |
Investment in MediaAlpha |  | 166.9 |  |  | 166.9 |  |  | — |  |  | — |
Other long-term investments |  | 947.1 |  |  | — |  |  | 13.8 |  |  | 933.3 |
Other long-term investments — NAV (2) |  | 521.6 |  |  | — |  |  | — |  |  | — |
Total other long-term investments |  | 1,468.7 |  |  | — |  |  | 13.8 |  |  | 933.3 |
Total investments |  | $ | 4,026.0 |  |  | $ | 637.8 |  |  | $ | 1,933.3 |  |  | $ | 933.3 |

(1) Consist of investments in listed funds that predominantly invest in international equities.
(2) Consists of private equity funds and hedge funds, a bank loan fund, Lloyd’s trust deposits and ILS funds for which fair value is measured at net asset value (“NAV”) using the practical expedient. Investments for which fair value is measured at NAV are not classified within the fair value hierarchy.
17

|  | December 31, 2021
Millions |  | Fair Value |  | Level 1 |  | Level 2 |  | Level 3
Fixed maturity investments: |  |  |  |  |  |  |  |
U.S. Government and agency obligations |  | $ | 211.5 |  |  | $ | 211.5 |  |  | $ | — |  |  | $ | — |
Debt securities issued by corporations: |  |  |  |  |  |  |  |
Financials |  | 264.2 |  |  | — |  |  | 264.2 |  |  | — |
Consumer |  | 178.1 |  |  | — |  |  | 178.1 |  |  | — |
Technology |  | 117.9 |  |  | — |  |  | 117.9 |  |  | — |
Industrial |  | 112.9 |  |  | — |  |  | 112.9 |  |  | — |
Healthcare |  | 112.8 |  |  | — |  |  | 112.8 |  |  | — |
Utilities |  | 70.9 |  |  | — |  |  | 70.9 |  |  | — |
Communications |  | 56.0 |  |  | — |  |  | 56.0 |  |  | — |
Energy |  | 48.0 |  |  | — |  |  | 48.0 |  |  | — |
Materials |  | 32.1 |  |  | — |  |  | 32.1 |  |  | — |
Total debt securities issued by corporations |  | 992.9 |  |  | — |  |  | 992.9 |  |  | — |
Municipal obligations |  | 291.9 |  |  | — |  |  | 291.9 |  |  | — |
Mortgage and asset-backed securities |  | 277.6 |  |  | — |  |  | 277.6 |  |  | — |
Collateralized loan obligations |  | 135.0 |  |  | — |  |  | 135.0 |  |  | — |
Total fixed maturity investments |  | 1,908.9 |  |  | 211.5 |  |  | 1,697.4 |  |  | — |
Short-term investments |  | 465.9 |  |  | 465.9 |  |  | — |  |  | — |
Common equity securities (1) |  | 251.1 |  |  | — |  |  | 251.1 |  |  | — |
Investment in MediaAlpha |  | 261.6 |  |  | 261.6 |  |  | — |  |  | — |
Other long-term investments |  | 895.3 |  |  | — |  |  | 4.7 |  |  | 890.6 |
Other long-term investments — NAV (2) |  | 482.5 |  |  | — |  |  | — |  |  | — |
Total other long-term investments |  | 1,377.8 |  |  | — |  |  | 4.7 |  |  | 890.6 |
Total investments |  | $ | 4,265.3 |  |  | $ | 939.0 |  |  | $ | 1,953.2 |  |  | $ | 890.6 |

(1) Consist of investments in listed funds that predominantly invest in international equities.
(2) Consists of private equity funds and hedge funds, a bank loan fund, Lloyd’s trust deposits and ILS funds for which fair value is measured at NAV using the practical expedient. Investments for which fair value is measured at NAV are not classified within the fair value hierarchy.
Investments Held on Deposit or as Collateral
As of June 30, 2022 and December 31, 2021, investments of $461.5 million and $479.5 million were held in trusts required to be maintained in relation to HG Global’s reinsurance agreements with BAM.
BAM and one of the Other Operating Businesses are required to maintain deposits with certain insurance regulatory agencies in order to maintain their insurance licenses. The fair value of such deposits, which represent state deposits and are included within the investment portfolio, totaled $4.8 million as of June 30, 2022 and December 31, 2021.
Lloyd’s trust deposits are generally required of Lloyd's syndicates to protect policyholders in non-U.K. markets and are pledged into Lloyd’s trust accounts to provide a portion of the capital needed to support obligations at Lloyd’s. As of June 30, 2022 and December 31, 2021, Ark held Lloyd’s trust deposits with a fair value of $113.4 million and $113.8 million
The underwriting capacity of a member of Lloyd’s must be supported by providing a deposit (“Funds at Lloyd’s”) in the form of cash, securities or letters of credit in an amount determined by Lloyd’s. The amount of such deposit is calculated for each member through the completion of an annual capital adequacy exercise. These requirements allow Lloyd’s to evaluate that each member has sufficient assets to meet its underwriting liabilities plus a required solvency margin. As of June 30, 2022 and December 31, 2021, the fair value of Ark’s Funds at Lloyd’s investment deposits totaled $304.8 million and $342.8 million.
As of June 30, 2022 and December 31, 2021, Ark had $49.8 million and $50.0 million of short-term investments pledged as collateral under an uncommitted standby letter of credit. See Note 7 — “Debt.”
18

Debt Securities Issued by Corporations
The following table presents the credit ratings of debt securities issued by corporations held in White Mountains’s investment portfolio as of June 30, 2022 and December 31, 2021:

|  | Fair Value at
Millions |  | June 30, 2022 |  | December 31, 2021
AAA |  | $ | 11.6 |  |  | $ | 12.0 |
AA |  | 87.2 |  |  | 85.0 |
A |  | 502.3 |  |  | 490.4 |
BBB |  | 366.4 |  |  | 396.8 |
Other |  | 6.7 |  |  | 8.7 |
Debt securities issued by corporations (1) |  | $ | 974.2 |  |  | $ | 992.9 |

(1) Credit ratings are based upon issuer credit ratings provided by Standard & Poor’s Financial Services LLC (“Standard & Poor’s”), or if unrated by Standard & Poor’s, long-term obligation ratings provided by Moody’s Investor Service, Inc.
Mortgage and Asset-backed Securities and Collateralized Loan Obligations
The following table presents the fair value of White Mountains’s mortgage and asset-backed securities and collateralized loan obligations as of June 30, 2022 and December 31, 2021:

|  | June 30, 2022 |  | December 31, 2021
Millions |  | Fair Value |  | Level 2 |  | Level 3 |  | Fair Value |  | Level 2 |  | Level 3
Mortgage-backed securities: |  |  |  |  |  |  |  |  |  |  |  |
Agency: |  |  |  |  |  |  |  |  |  |  |  |
FNMA |  | $ | 109.0 |  |  | $ | 109.0 |  |  | $ | — |  |  | $ | 125.4 |  |  | $ | 125.4 |  |  | $ | — |
FHLMC |  | 79.2 |  |  | 79.2 |  |  | — |  |  | 90.5 |  |  | 90.5 |  |  | — |
GNMA |  | 32.2 |  |  | 32.2 |  |  | — |  |  | 40.1 |  |  | 40.1 |  |  | — |
Total agency (1) |  | 220.4 |  |  | 220.4 |  |  | — |  |  | 256.0 |  |  | 256.0 |  |  | — |
Non-agency: Residential |  | .4 |  |  | .4 |  |  | — |  |  | .5 |  |  | .5 |  |  | — |
Total non-agency |  | .4 |  |  | .4 |  |  | — |  |  | .5 |  |  | .5 |  |  | — |
Total mortgage-backed securities |  | 220.8 |  |  | 220.8 |  |  | — |  |  | 256.5 |  |  | 256.5 |  |  | — |
Other asset-backed securities: |  |  |  |  |  |  |  |  |  |  |  |
Credit card receivables |  | 12.0 |  |  | 12.0 |  |  | — |  |  | 12.3 |  |  | 12.3 |  |  | — |
Vehicle receivables |  | 11.8 |  |  | 11.8 |  |  | — |  |  | 8.8 |  |  | 8.8 |  |  | — |
Total other asset-backed securities |  | 23.8 |  |  | 23.8 |  |  | — |  |  | 21.1 |  |  | 21.1 |  |  | — |
Total mortgage and asset-backed securities |  | 244.6 |  | 244.6 |  | — |  |  | 277.6 |  |  | 277.6 |  |  | — |
Collateralized loan obligations |  | 141.8 |  |  | 141.8 |  |  | — |  |  | 135.0 |  |  | 135.0 |  |  | — |
Total mortgage and asset-backed securities and collateralized loan obligations |  | $ | 386.4 |  |  | $ | 386.4 |  |  | $ | — |  |  | $ | 412.6 |  |  | $ | 412.6 |  |  | $ | — |

(1) Represents publicly traded mortgage-backed securities which carry the full faith and credit guaranty of the U.S. Government (i.e., GNMA) or are guaranteed
by a government sponsored entity (i.e., FNMA, FHLMC).
As of June 30, 2022, White Mountains’s investment portfolio included $141.8 million of collateralized loan obligations that are within the senior tranches of their respective fund securitization structures. All of White Mountains’s collateral loan obligations were rated AAA or AA as of June 30, 2022.
Investment in MediaAlpha
Following the MediaAlpha IPO, White Mountains’s investment in MediaAlpha is accounted for at fair value based on the publicly traded share price of MediaAlpha’s common stock and is presented as a separate line item on the balance sheet.
At the June 30, 2022 closing price of $9.85 per share, the fair value of White Mountains’s investment in MediaAlpha was $166.9 million. See Note 2 — “Significant Transactions.”
19

Other Long-Term Investments
The following table presents the carrying values of White Mountains’s other long-term investments as of June 30, 2022 and December 31, 2021:

|  | Fair Value at
Millions |  | June 30, 2022 |  | December 31, 2021
Kudu’s Participation Contracts |  | $ | 727.0 |  |  | $ | 669.5 |
PassportCard/DavidShield |  | 132.0 |  |  | 120.0 |
Elementum Holdings, L.P. |  | 45.0 |  |  | 45.0 |
Other unconsolidated entities (1) |  | 12.2 |  |  | 34.4 |
Total unconsolidated entities |  | 916.2 |  |  | 868.9 |
Private equity funds and hedge funds |  | 200.1 |  |  | 153.8 |
Bank loan fund |  | 154.4 |  |  | 163.0 |
Lloyd’s trust deposits |  | 113.4 |  |  | 113.8 |
ILS funds |  | 51.6 |  |  | 51.9 |
Private debt investments |  | 13.0 |  |  | 14.1 |
Other |  | 20.0 |  |  | 12.3 |
Total other long-term investments |  | $ | 1,468.7 |  |  | $ | 1,377.8 |

(1) Includes White Mountains’s non-controlling equity interests in certain private common equity securities, convertible preferred securities, limited liability company units and Simple Agreement for Future Equity (“SAFE”) investments.
Private Equity Funds and Hedge Funds
White Mountains invests in private equity funds and hedge funds, which are included in other long-term investments. The fair value of these investments is generally estimated using the NAV of the funds. As of June 30, 2022, White Mountains held investments in 16 private equity funds and one hedge fund. The largest investment in a single private equity fund or hedge fund was $35.4 million and $31.3 million as of June 30, 2022 and December 31, 2021.
The following table presents the fair value of investments and unfunded commitments in private equity funds and hedge funds by investment objective and sector as of June 30, 2022 and December 31, 2021:

|  | June 30, 2022 |  | December 31, 2021
Millions |  | Fair Value |  | Unfunded Commitments |  | Fair Value |  | Unfunded Commitments
Private equity funds |  |  |  |  |  |  |  |
Aerospace/Defense/Government |  | $ | 107.0 |  |  | $ | 43.5 |  |  | $ | 69.8 |  |  | $ | 11.8 |
Financial services |  | 80.0 |  |  | 55.6 |  |  | 67.7 |  |  | 29.3 |
Real estate |  | 4.7 |  |  | 2.5 |  |  | 4.3 |  |  | 2.9 |
Total private equity funds |  | 191.7 |  |  | 101.6 |  |  | 141.8 |  |  | 44.0 |
Hedge funds |  |  |  |  |  |  |  |
European small/mid cap |  | 8.4 |  |  | — |  |  | 12.0 |  |  | — |
Total hedge funds |  | 8.4 |  |  | — |  |  | 12.0 |  |  | — |
Total private equity funds and hedge funds included in other long-term investments |  | $ | 200.1 |  |  | $ | 101.6 |  |  | $ | 153.8 |  |  | $ | 44.0 |

Investments in private equity funds are generally subject to a lock-up period during which investors may not request a redemption. Distributions prior to the expected termination date of the fund may be limited to dividends or proceeds arising from the liquidation of the fund’s underlying investments. In addition, certain private equity funds have the option to extend the lock-up period.
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The following table presents investments in private equity funds that were subject to lock-up periods as of June 30, 2022:

Millions |  | 1 – 3 years |  | 3 – 5 years |  | 5 – 10 years |  | >10 years |  | Total
Private equity funds — expected lock-up period remaining |  | $29.8 |  | $21.0 |  | $128.8 |  | $12.1 |  | $191.7

Investors in private equity funds are generally subject to indemnification obligations outside of the capital commitment period and prior to the winding up of the fund. As of June 30, 2022 and December 31, 2021, White Mountains is not aware of any indemnification claims relating to its investments in private equity funds.
Redemption of investments in most hedge funds is subject to restrictions, including lock-up periods where no redemptions or withdrawals are allowed, restrictions on redemption frequency and advance notice periods for redemptions. Amounts requested for redemptions remain subject to market fluctuations until the redemption effective date, which generally falls at the end of the defined redemption period. White Mountains’s hedge fund investment is subject to a perpetual two-year restriction on redemption frequency from the initial investment in the fund and a 90 days advanced notice period requirement.
Bank Loan Fund
White Mountains’s other long-term investments include a bank loan fund with a fair value of $154.4 million as of June 30, 2022. The fair value of this investment is estimated using the NAV of the fund. The bank loan fund’s investment objective is to provide, on an unleveraged basis, high current income consistent with preservation of capital and low duration. The bank loan fund primarily invests in a broad portfolio of U.S. dollar-denominated, non-investment grade, floating-rate senior secured loans and may invest in other financial instruments, such as secured and unsecured corporate debt, credit default swaps, reverse repurchase agreements, synthetic indices and cash and cash equivalents.
The investment in the bank loan fund is subject to restrictions on redemption frequency and advance notice periods for redemptions. Amounts requested for redemptions remain subject to market fluctuations until the redemption effective date, which generally falls at the end of the defined redemption period. White Mountains may redeem all or a portion of its bank loan fund investment as of any calendar month-end upon 15 calendar days advanced written notice.
Lloyd’s Trust Deposits
White Mountains’s other long-term investments include Lloyd’s trust deposits, which consist of non-U.K. deposits and Canadian comingled pooled funds. The Lloyd’s trust deposits invest primarily in short-term government securities, agency securities and corporate bonds held in trusts that are managed by Lloyd's of London. These investments are generally required of Lloyd's syndicates to protect policyholders in non-U.K. markets and are pledged into Lloyd’s trust accounts to provide a portion of the capital needed to support obligations at Lloyd’s. The fair value of the Lloyd’s trust deposits is generally estimated using the NAV of the funds. As of June 30, 2022, White Mountains held Lloyd’s trust deposits with a fair value of $113.4 million.
Insurance-Linked Securities Funds
White Mountains’s other long-term investments include ILS fund investments. The fair value of these investments is generally estimated using the NAV of the funds. As of June 30, 2022, White Mountains held investments in ILS funds with a fair value of $51.6 million.
Investments in ILS funds are generally subject to restrictions, including lock-up periods where no redemptions or withdrawals are allowed, non-renewal clauses, restrictions on redemption frequency and advance notice periods for redemptions. From time to time, natural catastrophe, liquidity, market or other events will occur that make the determination of fair value for underlying investments in ILS funds less certain due to the potential for loss development. In such circumstances, the impacted investments may be subject to additional lock-up provisions.
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ILS funds are typically subject to monthly and annual restrictions on redemptions and advance redemption notice period requirements that range between 30 and 90 days. Amounts requested for redemption remain subject to market fluctuations until the redemption effective date, which generally falls at the end of the defined redemption period.
One of the ILS funds in White Mountains’s portfolio requires shareholders to provide advance redemption notice on or before September 15 of each calendar year. Amounts requested for redemption in this fund remain subject to market fluctuation until the underlying investment has fully matured or been commuted, which may be up to a period of three years from the start of each calendar year.
Rollforward of Level 3 Investments
Level 3 measurements as of June 30, 2022 and 2021 consist of securities for which the estimated fair value has not been determined based upon quoted market price inputs for identical or similar securities. The following table presents the changes in White Mountains’s fair value measurements for Level 3 investments for the six months ended June 30, 2022 and 2021:

Level 3 Investments |  |  |  |
Millions |  |  |  |  |  |  |  |  |  |  | Other Long-term Investments |  |  |  |  | Other Long-term Investments |  |
Balance at December 31, 2021 |  |  |  |  |  |  |  |  |  |  | $ | 890.6 |  |  | Balance at December 31, 2020 |  |  | $ | 614.2 |  |  |  |  |
Net realized and unrealized gains |  |  |  |  |  |  |  |  |  |  | 16.6 |  |  | Net realized and unrealized gains |  |  | 48.9 |  |  |  |  |
Amortization/accretion |  |  |  |  |  |  |  |  |  |  | — |  |  | Amortization/accretion |  |  | — |  |  |  |  |
Purchases |  |  |  |  |  |  |  |  |  |  | 57.8 |  |  | Purchases |  |  | 13.2 |  |  |  |  |
Sales |  |  |  |  |  |  |  |  |  |  | (31.7) |  |  | Sales |  |  | (11.5) |  |  |  |  |
Effect of Ark Transaction |  |  |  |  |  |  |  |  |  |  | — |  |  | Effect of Ark Transaction |  |  | 9.6 |  |  |  |  |
Transfers in |  |  |  |  |  |  |  |  |  |  | — |  |  | Transfers in |  |  | — |  |  |  |  |
Transfers out |  |  |  |  |  |  |  |  |  |  | — |  |  | Transfers out |  |  | — |  |  |  |  |
Balance at June 30, 2022 |  |  |  |  |  |  |  |  |  |  | $ | 933.3 |  |  | Balance at June 30, 2021 |  |  | $ | 674.4 |  |  |  |  |

Fair Value Measurements — Transfers Between Levels - Six months ended June 30, 2022 and 2021
Transfers between levels are recorded using the fair value measurement as of the end of the quarterly period in which the event or change in circumstance giving rise to the transfer occurred.
During the six months ended June 30, 2022 and 2021, there were no fixed maturity investments or other long-term investments classified as Level 3 measurements in the prior period that were transferred to Level 2 measurements.
During the six months ended June 30, 2022 and 2021, there were no fixed maturity investments or other long-term investments classified as Level 2 measurements in the prior period that were transferred to Level 3 measurements.
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Significant Unobservable Inputs
The following tables present significant unobservable inputs used in estimating the fair value of White Mountains’s other long-term investments, classified within Level 3 as of June 30, 2022 and December 31, 2021. The tables below exclude $18.3 million and $46.7 million of Level 3 other long-term investments generally valued based on recent or expected transaction prices. The fair value of investments in private equity funds and hedge funds, bank loan funds, Lloyd’s trust deposits and ILS funds are generally estimated using the NAV of the funds.

$ in Millions |  | June 30, 2022
Description |  | Valuation Technique(s) (1) |  | Fair Value (2) |  | Unobservable Inputs
|  |  |  |  |  | Discount Rate (6) |  | Terminal Cash Flow Exit Multiple (x) or Terminal Revenue Growth Rate (%) (6)
Kudu’s Participation Contracts (3)(4)(5) |  | Discounted cash flow |  | $727.0 |  | 17% - 24% |  | 7x - 15x
PassportCard/DavidShield |  | Discounted cash flow |  | $132.0 |  | 23% |  | 4%
Elementum Holdings, L.P. |  | Discounted cash flow |  | $45.0 |  | 18% |  | 4%
Private debt investments |  | Discounted cash flow |  | $11.0 |  | 10% |  | N/A

(1) Key inputs to the discounted cash flow analysis generally include projections of future revenue and earnings, discount rates and terminal exit multiples or growth rates.
(2) Includes the net unrealized investment gains (losses) associated with foreign currency; foreign currency effects based on observable inputs.
(3) Since Kudu’s Participation Contracts are not subject to corporate taxes within Kudu Investment Management, LLC, pre-tax discount rates are applied to pre-tax cash flows in determining fair values. The weighted average discount rate and weighted average terminal cash flow exit multiple applied to Kudu’s Participation Contracts is 20% and 11x.
(4) As of June 30, 2022, two of Kudu’s Participation Contracts with a total fair value of $185.9 were valued using a probability weighted expected return method, which was based on a discounted cash flow analysis and an expected sale transaction.
(5) In 2022, Kudu deployed a total of $52.8 into new and existing Kudu Participation Contracts, including Gramercy Funds Management and TK Partners.
(6) Increases (decreases) to the discount rates in isolation would result in lower (higher) fair value measurements, while increases (decreases) to the terminal cash flow exit multiples or terminal revenue growth rates in isolation would result in higher (lower) fair value measurements.

$ in Millions |  | December 31, 2021
Description |  | Valuation Technique(s) (1) |  | Fair Value (2) |  | Unobservable Inputs
|  |  |  |  |  | Discount Rate (6) |  | Terminal Cash Flow Exit Multiple (x) or Terminal Revenue Growth Rate (%) (6)
Kudu’s Participation Contracts (3)(4)(5) |  | Discounted cash flow |  | $669.5 |  | 18% - 23% |  | 7x - 13x
PassportCard/DavidShield |  | Discounted cash flow |  | $120.0 |  | 23% |  | 4%
Elementum Holdings, L.P. |  | Discounted cash flow |  | $45.0 |  | 17% |  | 4%
Private debt investments |  | Discounted cash flow |  | $9.4 |  | 8% |  | N/A

(1) Key inputs to the discounted cash flow analysis generally include projections of future revenue and earnings, discount rates and terminal exit multiples or growth rates.
(2) Includes the net unrealized investment gains (losses) associated with foreign currency; foreign currency effects based on observable inputs.
(3) Since Kudu’s Participation Contracts are not subject to corporate taxes within Kudu Investment Management, LLC, pre-tax discount rates are applied to pre-tax cash flows in determining fair values. The weighted average discount rate and weighted average terminal cash flow exit multiple applied to Kudu’s Participation Contracts is 20% and 10x.
(4) In 2021, Kudu deployed a total of $223.4 into new and existing Kudu Participation Contracts, including TIG Advisors, TK Partners, Third Eye Capital Management, Douglass Winthrop Advisors, Granahan Investment Management and Radcliffe Capital Management.
(5) As of December 31, 2021, one of Kudu’s Participation Contracts with a total fair value of $78.8 was valued using a probability weighted expected return method, which was based on a discounted cash flow analysis and an expected sale transaction.
(6) Increases (decreases) to the discount rates in isolation would result in lower (higher) fair value measurements, while increases (decreases) to the terminal cash flow exit multiples or terminal revenue growth rates in isolation would result in higher (lower) fair value measurements.
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Note 4. Goodwill and Other Intangible Assets
White Mountains accounts for purchases of businesses using the acquisition method. Under the acquisition method, White Mountains recognizes and measures the assets acquired, liabilities assumed and any non-controlling interest in the acquired entities at their acquisition date fair values. The estimated acquisition date fair values, generally consisting of intangible assets and liabilities for contingent consideration, may be recorded at provisional amounts in circumstances where the information necessary to complete the acquisition accounting is not available at the reporting date. Any such provisional amounts are finalized as measurement period adjustments within one year of the acquisition date.
The following table presents the economic lives, acquisition date fair values, accumulated amortization and net carrying values for other intangible assets and goodwill, by reportable segment as of June 30, 2022 and December 31, 2021:

$ in Millions |  | Weighted Average Economic Life (in years) |  | June 30, 2022 |  | December 31, 2021
| Acquisition Date Fair Value |  | Accumulated Amortization |  |  |  | Net Carrying Value |  | Acquisition Date Fair Value |  | Accumulated Amortization |  |  |  | Net Carrying Value
Goodwill: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ark |  | N/A |  | $ | 116.8 |  |  | $ | — |  |  |  |  | $ | 116.8 |  |  | $ | 116.8 |  |  | $ | — |  |  |  |  | $ | 116.8 |
Kudu |  | N/A |  | 7.6 |  |  | — |  |  |  |  | 7.6 |  |  | 7.6 |  |  |  |  |  |  | 7.6 |
Other Operations (1) |  | N/A |  | 77.4 |  |  | — |  |  |  |  | 77.4 |  |  | 17.9 |  |  | — |  |  |  |  | 17.9 |
Total goodwill |  | 201.8 |  |  | — |  |  |  |  | 201.8 |  |  | 142.3 |  |  | — |  |  |  |  | 142.3 |
Other intangible assets: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ark |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Underwriting Capacity | N/A |  | 175.7 |  |  | — |  |  |  |  | 175.7 |  |  | 175.7 |  |  | — |  |  |  |  | 175.7 |
Kudu |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Trade names |  | 7 |  | 2.2 |  |  | 1.1 |  |  |  |  | 1.1 |  |  | 2.2 |  |  | .9 |  |  |  |  | 1.3 |
Other Operations |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Trade names |  | 17.5 |  | 8.2 |  |  | 2.0 |  |  |  |  | 6.2 |  |  | 8.2 |  |  | 1.5 |  |  |  |  | 6.7 |
Customer relationships |  | 13.0 |  | 18.8 |  |  | 5.7 |  |  |  |  | 13.1 |  |  | 18.8 |  |  | 4.5 |  |  |  |  | 14.3 |
Other |  | 5.3 |  | .3 |  |  | .2 |  |  |  |  | .1 |  |  | .3 |  |  | .1 |  |  |  |  | .2 |
Subtotal |  |  |  | 27.3 |  |  | 7.9 |  |  |  |  | 19.4 |  |  | 27.3 |  |  | 6.1 |  |  |  |  | 21.2 |
Total other intangible assets | 205.2 |  |  | 9.0 |  |  |  |  | 196.2 |  |  | 205.2 |  |  | 7.0 |  |  |  |  | 198.2 |
Total goodwill and other intangible assets | $ | 407.0 |  |  | $ | 9.0 |  |  |  |  | 398.0 |  |  | $ | 347.5 |  |  | $ | 7.0 |  |  |  |  | 340.5 |
Goodwill and other intangible assets attributed to non-controlling interests |  | (103.4) |  |  |  |  |  |  |  |  | (91.8) |
Goodwill and other intangible assets included in White Mountains’s common shareholders’ equity |  | $ | 294.6 |  |  |  |  |  |  |  |  | $ | 248.7 |

(1) The relative fair values of goodwill and other intangible assets recognized in connection with recent acquisitions within Other Operations had not yet been finalized as of June 30, 2022.
Intangible Assets Valuation Methods
The goodwill recognized for the entities shown above is attributed to expected future cash flows. The acquisition date fair values of other intangible assets with finite lives are estimated using income approach techniques, which use future expected cash flows to develop a discounted present value amount.
The multi-period-excess-earnings method estimates fair value using the present value of the incremental after-tax cash flows attributable solely to the other intangible asset over its remaining life. This approach was used to estimate the fair value of other intangible assets associated with the underwriting capacity, trade names, customer relationships and contracts and information technology.
The relief-from-royalty method was used to estimate fair value for other intangible assets that relate to rights that could be obtained via a license from a third-party owner. Under this method, the fair value is estimated using the present value of license fees avoided by owning rather than leasing the asset. This technique was used to estimate the fair value of domain names, certain trademarks and brand names.
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The with-or-without method estimates the fair value of other intangible assets that provide an incremental benefit. Under this method, the fair value of the other intangible asset is calculated by comparing the value of the entity with and without the other intangible asset. This approach was used to estimate the fair value of favorable lease terms.
On at least an annual basis beginning no later than the interim period included in the one-year anniversary of an acquisition, White Mountains evaluates goodwill and other intangible assets for potential impairment. Between annual evaluations, White Mountains considers changes in circumstances or events subsequent to the most recent evaluation that may indicate that an impairment may exist and, if necessary will perform an interim review for potential impairment.
The following table presents a summary of the acquisition date fair values of goodwill and other intangible assets for acquisitions completed from January 1, 2021 through June 30, 2022:

$ in Millions |  |  |  |
Acquisition of subsidiary/ asset |  | Goodwill and Other intangible asset (1) |  | Acquisition Date
Ark |  | $ | 292.5 |  |  | January 1, 2021
Other Operations |  | $ | 90.5 |  |  | Various

(1) Acquisition date fair values include the effect of adjustments during the measurement period and excludes the effect of foreign currency translation subsequent to the acquisition date.
The following tables present the change in goodwill and other intangible assets for the three and six months ended June 30, 2022 and 2021:

|  | Three Months Ended June 30,
|  | 2022 |  | 2021
Millions |  | Goodwill |  | Other Intangible Assets |  | Total Goodwill and Other Intangible Assets |  | Goodwill |  | Other Intangible Assets |  | Total Goodwill and Other Intangible Assets
Beginning balance |  | $ | 142.3 |  |  | $ | 197.2 |  |  | $ | 339.5 |  |  | $ | 135.7 |  |  | $ | 201.6 |  |  | $ | 337.3 |
Acquisition of businesses |  | 59.5 |  | (1) | — |  |  | 59.5 |  |  | 15.8 |  | (1) | — |  |  | 15.8 |
Amortization |  | — |  |  | (1.0) |  |  | (1.0) |  |  | — |  |  | (.5) |  |  | (.5) |
Ending balance |  | $ | 201.8 |  |  | $ | 196.2 |  |  | $ | 398.0 |  |  | $ | 151.5 |  |  | $ | 201.1 |  |  | $ | 352.6 |

(1) The relative fair values of goodwill and other intangible assets recognized in connection with recent acquisitions within Other Operations had not yet been finalized.

|  | Six Months Ended June 30,
|  | 2022 |  | 2021
Millions |  | Goodwill |  | Other Intangible Assets |  | Total Goodwill and Other Intangible Assets |  | Goodwill |  | Other Intangible Assets |  | Total Goodwill and Other Intangible Assets
Beginning balance |  | $ | 142.3 |  |  | $ | 198.2 |  |  | $ | 340.5 |  |  | $ | 19.2 |  |  | $ | 26.4 |  |  | $ | 45.6 |
Ark Transaction |  | — |  |  | — |  |  | — |  |  | 116.8 |  |  | 175.7 |  |  | 292.5 |
Acquisition of businesses |  | 59.5 |  | (2) | — |  |  | 59.5 |  |  | 15.8 |  | (2) | — |  |  | 15.8 |
Measurement period adjustments (1) |  | — |  |  | — |  |  | — |  |  | (.3) |  |  | .1 |  |  | (.2) |
Amortization |  | — |  |  | (2.0) |  |  | (2.0) |  |  | — |  |  | (1.1) |  |  | (1.1) |
Ending balance |  | $ | 201.8 |  |  | $ | 196.2 |  |  | $ | 398.0 |  |  | $ | 151.5 |  |  | $ | 201.1 |  |  | $ | 352.6 |

(1) Measurement period adjustments relate to updated information about acquisition date fair values of assets acquired and liabilities assumed. During the six months ended June 30, 2021, adjustments primarily relate to goodwill and other intangible assets of $0.2 in connection with the acquisition in the Other Operations segment.
(2) The relative fair values of goodwill and other intangible assets recognized in connection with recent acquisitions within Other Operations had not yet been finalized.
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Note 5. Loss and Loss Adjustment Expense Reserves
The following table summarizes the loss and LAE reserve activity of Ark’s insurance and reinsurance subsidiaries for the three and six months ended June 30, 2022 and 2021:

|  | Three Months Ended June 30, |  | Six Months Ended June 30,
Millions |  | 2022 |  | 2021 |  | 2022 |  | 2021
Gross beginning balance |  | $ | 999.6 |  |  | $ | 751.9 |  |  | $ | 894.7 |  |  | $ | 696.0 |
Less: beginning reinsurance recoverable on unpaid losses (1) |  | (396.0) |  |  | (447.5) |  |  | (428.9) |  |  | (433.4) |
Net loss and LAE reserves |  | 603.6 |  |  | 304.4 |  |  | 465.8 |  |  | 262.6 |
Loss and LAE incurred relating to: |  |  |  |  |  |  |  |
Current year losses |  | 143.2 |  |  | 61.6 |  |  | 268.9 |  |  | 127.1 |
Prior year losses |  | (22.7) |  |  | (9.0) |  |  | (26.4) |  |  | (8.5) |
Net incurred losses and LAE |  | 120.5 |  |  | 52.6 |  |  | 242.5 |  |  | 118.6 |
Loss and LAE paid relating to: |  |  |  |  |  |  |  |
Current year losses |  | (14.1) |  |  | (1.1) |  |  | (14.7) |  |  | (2.5) |
Prior year losses |  | (54.4) |  |  | (18.3) |  |  | (93.8) |  |  | (41.8) |
Net paid loss and LAE |  | (68.5) |  |  | (19.4) |  |  | (108.5) |  |  | (44.3) |
Change in TPC Providers’ participation (2) |  | — |  |  | — |  |  | 57.5 |  |  | (2.2) |
Foreign currency translation and other adjustments to loss and LAE reserves |  | (9.0) |  |  | (2.9) |  |  | (10.7) |  |  | — |
Net ending balance |  | 646.6 |  |  | 334.7 |  |  | 646.6 |  |  | 334.7 |
Plus: ending reinsurance recoverable on unpaid losses (3) |  | 375.5 |  |  | 425.3 |  |  | 375.5 |  |  | 425.3 |
Gross ending balance |  | $ | 1,022.1 |  |  | $ | 760.0 |  |  | $ | 1,022.1 |  |  | $ | 760.0 |

(1) The beginning reinsurance recoverable on unpaid losses includes amounts attributable to TPC Providers of $207.3 and $331.0 for the three months ended June 30, 2022 and 2021 and $276.8 and $319.2 for the six months ended June 30, 2022 and 2021.
(2) Amount represents the impact to net loss and LAE reserves due to a change in the TPC Providers’ participation related to the annual reinsurance to close (“RITC”) process.
(3) The ending reinsurance recoverable on unpaid losses includes amounts attributable to TPC Providers of $182.4 and $314.6 as of June 30, 2022 and 2021.
For the three and six months ended June 30, 2022, Ark recognized $22.7 million and $26.4 million of net favorable prior year loss reserve development. Ark’s net favorable prior year loss reserve development in 2022 was driven primarily by the property and accident & health and specialty reserving lines of business, including favorable claims experience on prior year catastrophe events in the second quarter. For the three and six months ended June 30, 2021, Ark recognized $9.0 million and $8.5 million of net favorable prior year loss reserve development. Ark’s net favorable prior year loss reserve development in 2021, primarily related to property and accident & health and marine & energy reserving lines of business.
TPC Providers’ Participation
For the years of account prior to the Ark Transaction, a significant proportion of the Syndicates’ underwriting capital was provided by TPC Providers using whole account reinsurance contracts with Ark’s corporate member. The TPC Providers’ participation in the Syndicates for the 2020 open year of account is 42.8% of the total net result of the Syndicates. For the years of account subsequent to the Ark Transaction, Ark is no longer using TPC Providers to provide underwriting capital for the Syndicates.
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An RITC agreement is generally put in place after the third year of operations for a year of account such that the outstanding loss and LAE reserves, including future development thereon, are reinsured into the next year of account. As a result, and in combination with the changing participation provided by TPC Providers, Ark’s participation on outstanding loss and LAE reserves reinsured into the next year of account may change, perhaps significantly. During the first quarter of 2022, an RITC was executed such that the outstanding loss and LAE reserves for claims arising out of the 2019 year of account, for which the TPC Providers’ participation in the total net results of the Syndicates was 58.3%, were reinsured into the 2020 year of account, for which the TPC Providers’ participation in the total net results of the Syndicates is 42.8%. During the first quarter of 2021, an RITC was executed such that the outstanding loss and LAE reserves for claims arising out of the 2018 year of account, for which the TPC Providers’ participation in the total net results of the Syndicates was 57.6%, were reinsured into the 2019 year of account, for which the TPC Providers’ participation in the total net results of the Syndicates was 58.3%.
Municipal Bond Guarantee Insurance
HG Re and BAM do not have any outstanding loss and LAE reserves related to BAM’s municipal bond guarantee insurance business.
Note 6. Third-Party Reinsurance
In the normal course of business, Ark may seek to limit losses that may arise from catastrophes or other events by reinsuring certain risks with third-party reinsurers. Ark remains liable for risks reinsured in the event that the reinsurer does not honor its obligations under reinsurance contracts.
The following table summarizes the effects of reinsurance on written and earned premiums and on losses and LAE for Ark for the three and six months ended June 30, 2022 and 2021:

|  | Three Months Ended June 30, |  | Six Months Ended June 30, |
Millions |  | 2022 |  | 2021 |  | 2022 |  | 2021 |
Written premiums: |  |  |  |  |  |  |  |  |
Gross |  | $ | 403.9 |  |  | $ | 328.1 |  |  | $ | 1,037.0 |  |  | $ | 732.6 |  |
Ceded |  | (133.7) |  |  | (65.9) |  |  | (223.0) |  |  | (128.0) |  |
Net written premiums |  | $ | 270.2 |  |  | $ | 262.2 |  |  | $ | 814.0 |  |  | $ | 604.6 |  |
Earned premiums: |  |  |  |  |  |  |  |  |
Gross |  | $ | 266.4 |  |  | $ | 174.9 |  |  | $ | 511.7 |  |  | $ | 337.5 |  |
Ceded |  | (49.1) |  |  | (57.1) |  |  | (100.0) |  |  | (115.1) |  |
Net earned premiums |  | $ | 217.3 |  |  | $ | 117.8 |  |  | $ | 411.7 |  |  | $ | 222.4 |  |
Losses and loss adjustment expenses: |  |  |  |  |  |  |  |  |
Gross |  | $ | 138.4 |  |  | $ | 63.6 |  |  | $ | 321.5 |  |  | $ | 179.2 |  |
Ceded |  | (17.9) |  |  | (11.0) |  |  | (79.0) |  |  | (60.6) |  |
Net losses and loss adjustment expenses |  | $ | 120.5 |  |  | $ | 52.6 |  |  | $ | 242.5 |  |  | $ | 118.6 |  |

As of June 30, 2022, Ark had $375.5 million and $23.2 million of reinsurance recoverables on unpaid and paid losses. As of June 30, 2021, Ark had $425.3 million and $6.0 million of reinsurance recoverables on unpaid and paid losses. As reinsurance contracts do not relieve Ark of its obligation to its policyholders, Ark seeks to reduce the credit risk associated with reinsurance balances by avoiding over-reliance on specific reinsurers through the application of concentration limits and thresholds. Ark is selective with its reinsurers, placing reinsurance with only those reinsurers having a strong financial condition. Ark monitors the financial strength of its reinsurers on an ongoing basis.
As of June 30, 2022, Ark’s reinsurance recoverables of $398.7 million included $182.4 million attributable to TPC Providers, which are collateralized. As of June 30, 2021, Ark’s reinsurance recoverables of $431.3 million included $314.6 million related to TPC Providers, which are collateralized.
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The following table provides a listing of Ark’s remaining gross and net reinsurance recoverables, excluding amounts attributable to TPC Providers, by the reinsurer’s A.M. Best Company, Inc (“A.M. Best”) rating and the percentage of total recoverables as of June 30, 2022:

$ in Millions |  | As of June 30, 2022
A.M. Best Rating(1) |  | Gross |  | Collateral |  | Net |  | % of Total
A+ or better |  | $ | 126.8 |  |  | $ | .7 |  |  | $ | 126.1 |  |  | 60.2 | %
A- to A |  | 51.9 |  | $ | — |  |  | 51.9 |  | 24.7 |
B++ or lower and not rated |  | 37.6 |  | 5.9 |  | 31.7 |  | 15.1 |
Total |  | $ | 216.3 |  |  | $ | 6.6 |  |  | $ | 209.7 |  |  | 100.0 | %

(1) A.M. Best ratings as detailed above are: “A+ or better” (Superior) “A- to A” (Excellent), “B++” (Good).
See Note 10 — “Municipal Bond Guarantee Insurance” for third-party reinsurance balances related to White Mountains’s financial guarantee business.
Reinsurance Contracts Accounted for as Deposits
Ark has an aggregate excess of loss contract with SiriusPoint Ltd. (“SiriusPoint”), which is accounted for using the deposit method and recorded within other assets. Ark earns an annual crediting rate of 3.0%, which is recorded within other revenue. During the fourth quarter of 2021, Ark negotiated a reduction of $31.7 million, including accrued interest, to the aggregate excess of loss contract with SiriusPoint. As of June 30, 2022, the carrying value of Ark’s deposit in SiriusPoint, including accrued interest, was $20.1 million.
See Note 10 — “Municipal Bond Guarantee Insurance” for reinsurance contracts accounted for as deposits related to White Mountains’s financial guarantee business.
Note 7. Debt
The following table presents White Mountains’s debt outstanding as of June 30, 2022 and December 31, 2021:

$ in Millions |  | June 30, 2022 |  | Effective Rate | (1) | December 31, 2021 |  | Effective Rate | (1)
HG Global Senior Notes |  | $ | 150.0 |  |  | 7.6% |  | $ | — |  |  | N/A |
Unamortized discount and issuance cost |  | (3.7) |  |  |  |  | — |  |  |  |
HG Global Senior Notes, carrying value |  | 146.3 |  |  |  |  | — |  |  |  |
Ark 2007 Subordinated Notes, carrying value |  | 30.0 |  |  |  |  | 30.0 |  |  |  |
Ark 2021 Notes Tranche 1 |  | 41.5 |  |  |  |  | 44.2 |  |  |  |
Ark 2021 Notes Tranche 2 |  | 47.0 |  |  |  |  | 47.0 |  |  |  |
Ark 2021 Notes Tranche 3 |  | 70.0 |  |  |  |  | 70.0 |  |  |  |
Unamortized issuance cost |  | (5.0) |  |  |  |  | (5.3) |  |  |  |
Ark 2021 Subordinated Notes, carrying value |  | 153.5 |  |  |  |  | 155.9 |  |  |  |
Total Ark Subordinated Notes, carrying value |  | 183.5 |  |  | 6.8% |  | 185.9 |  |  | 6.9% |
Kudu Credit Facility |  | 260.4 |  |  | 5.1% |  | 225.4 |  |  | 4.3% |
Unamortized issuance cost |  | (7.1) |  |  |  |  | (7.2) |  |  |  |
Kudu Credit Facility, carrying value |  | 253.3 |  |  |  |  | 218.2 |  |  |  |
Other Operations debt |  | 35.7 |  |  | 7.4% |  | 17.1 |  |  | 7.5% |
Unamortized issuance cost |  | (.7) |  |  |  |  | (.3) |  |  |  |
Other Operations debt, carrying value |  | 35.0 |  |  |  |  | 16.8 |  |  |  |
Total debt |  | $ | 618.1 |  |  |  |  | $ | 420.9 |  |  |  |

(1) Effective rate includes the effect of the amortization of debt issuance costs.
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HG Global Senior Notes
On April 29, 2022, HG Global received the proceeds of its $150.0 million face value floating rate secured senior notes (the “HG Global Senior Notes”). The HG Global Senior Notes, which mature in April 2032, accrue interest at a floating rate equal to the three-month Secured Overnight Financing Rate (“SOFR”) plus 6.3% per annum. Subsequent to the five-year anniversary of the funding date, absent the occurrence of an early amortization trigger event, HG Global will make payments of principal on a quarterly basis totaling $15.0 million annually. Upon the occurrence of an early amortization trigger event, HG Global is required to use all available cash flow to repay the notes. Early amortization trigger events include scenarios in which HG Re is effectively in run off. HG Global has the option to redeem, in whole or in part, the HG Global Senior Notes after the five-year anniversary of the funding date at the outstanding principal amounts plus accrued interest.
The HG Global Senior Notes require HG Global to maintain an interest reserve account of eight times the interest accrued for the most recent quarterly interest period, which is included in short-term investments. As of June 30, 2022, the interest reserve account is $22.0 million.
The HG Global Senior Notes are secured by the capital stock and other equity interests of HG Global’s subsidiaries, the interest reserve account, and all cash and non-cash proceeds from the foregoing collateral. The HG Global Senior Notes contain various affirmative and negative covenants that White Mountains considers to be customary for such borrowings.
If the payments of principal and interest under the HG Global Senior Notes become subject to tax withholding on behalf of a relevant governmental authority for certain indemnified taxes, the HG Global Senior Notes require the payment of additional amounts such that the amount received by the noteholders is the same as would have been received absent the tax withholding being imposed. The HG Global Senior Notes require the payment of additional interest of 1.0% per annum if the HG Global Senior Notes receive a non-investment grade rating or are no longer rated.
As of June 30, 2022, the HG Global Senior Notes had an outstanding principal balance of $150.0 million.
Ark Subordinated Notes
In March 2007, GAIL issued $30.0 million face value of floating rate unsecured junior subordinated deferrable interest notes to Alesco Preferred Funding XII Ltd., Alesco Preferred Funding XIII Ltd. and Alesco Preferred Funding XIV Ltd (the “Ark 2007 Subordinated Notes”). The Ark 2007 Subordinated Notes, which mature in June 2037, accrue interest at a floating rate equal to the three-month U.S. London Inter-Bank Offered Rate (“LIBOR”) plus 4.6% per annum. As of June 30, 2022, the Ark 2007 Subordinated Notes had an outstanding principal balance of $30.0 million.
In the third quarter of 2021, GAIL issued $163.3 million face value floating rate subordinated notes at par in three separate transactions for proceeds of $157.8 million, net of debt issuance costs. The unsecured subordinated notes (the “Ark 2021 Subordinated Notes”) were issued in private placement offerings that were exempt from the registration requirements of the Securities Act of 1933. On July 13, 2021, Ark issued €39.1 million ($46.3 million based upon the foreign exchange spot rate as of the date of the transaction) face value floating rate unsecured subordinated notes (“Ark 2021 Notes Tranche 1”). The Ark 2021 Notes Tranche 1, which mature in July 2041, accrue interest at a floating rate equal to the three-month EURIBOR plus 5.75% per annum. On August 11, 2021, Ark issued $47.0 million face value floating rate unsecured subordinated notes (“Ark 2021 Notes Tranche 2”). The Ark 2021 Notes Tranche 2, which mature in August 2041, accrue interest at a floating rate equal to the three-month U.S. LIBOR plus 5.75% per annum. On September 8, 2021, Ark issued $70.0 million face value floating rate unsecured subordinated notes (“Ark 2021 Notes Tranche 3”). The Ark 2021 Notes Tranche 3, which mature in September 2041, accrue interest at a floating rate equal to the three-month U.S. LIBOR plus 6.1% per annum. On the ten-year anniversary of the issue dates, the interest rate for the Ark 2021 Subordinated Notes will increase by 1.0% per annum. Ark has the option to redeem, in whole or in part, the Ark 2021 Subordinated Notes ahead of contractual maturity at the outstanding principal amounts plus accrued interest at the ten-year anniversary or any subsequent interest payment date.
All payments of principal and interest under the Ark 2021 Subordinated Notes are conditional upon GAIL’s solvency and compliance with the enhanced capital requirements of the Bermuda Monetary Authority (“BMA”). The deferral of payments of principal and interest under these conditions does not constitute a default by Ark and does not give the noteholders any rights to accelerate repayment of the Ark 2021 Subordinated Notes or take any enforcement action under the Ark 2021 Subordinated Notes.
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If the payments of principal and interest under the Ark 2021 Subordinated Notes become subject to tax withholding on behalf of Bermuda or any political subdivision there, the Ark 2021 Subordinated Notes require the payment of additional amounts such that the amount received by the noteholders is the same as would have been received absent the tax withholding being imposed. The Ark 2021 Notes Tranche 3 require the payment of additional interest of 1.0% per annum upon the occurrence of a premium load event until such event is remedied. Premium load events include the failure to meet payment obligations of the Ark 2021 Notes Tranche 3 when due, failure of GAIL to maintain an investment grade credit rating, failure to maintain 120% of GAIL’s Bermuda solvency capital requirement, failure of GAIL to maintain a debt to capital ratio below 40%, late filing of GAIL’s or Ark’s financial information, and making a restricted payment or distribution on GAIL’s common stock or other securities that rank junior or pari passu with the Ark 2021 Notes Tranche 3 when a different premium load event exists or will be caused by the restricted payment.
As of June 30, 2022, the Ark 2021 Notes Tranche 1 had an outstanding principal balance of €39.1 million ($41.5 million based upon the foreign exchange spot rate as of June 30, 2022), the Ark 2021 Notes Tranche 2 had an outstanding principal balance of $47.0 million, and the Ark 2021 Notes Tranche 3 had an outstanding principal balance of $70.0 million.
The Ark Subordinated Notes contain various affirmative and negative covenants that White Mountains considers to be customary for such borrowings.
Ark Standby Letter of Credit Facilities
In December 2021, Ark entered into two uncommitted secured standby letter of credit facility agreements to support the continued growth and expansion of its GAIL insurance and reinsurance operations. The standby letter of credit facility agreements were executed with ING Bank N.V., London Branch (the “ING LOC Facility”) with capacity of $50.0 million on an uncollateralized basis and with Citibank Europe Plc (the “Citibank LOC Facility”) with capacity of $100.0 million on a collateralized basis. As of June 30, 2022, the ING LOC Facility was undrawn. As of June 30, 2022, the Citibank LOC Facility had an outstanding principal balance of $36.2 million. As of June 30, 2022, $49.8 million of short-term investments were pledged as collateral under the Citibank LOC Facility. Ark’s uncommitted secured standby letter of credit facility agreements contain various representations, warranties and covenants that White Mountains considers to be customary for such borrowings.
Kudu Credit Facility and Kudu Bank Facility
On December 23, 2019, Kudu entered into a secured credit facility with Monroe Capital Management Advisors, LLC (the “Kudu Bank Facility”). On March 23, 2021, Kudu replaced the Kudu Bank Facility and entered into a secured revolving credit facility (the “Kudu Credit Facility”) with Mass Mutual to repay the Kudu Bank Facility, and to fund new investments and related transaction expenses. The maximum borrowing capacity of the Kudu Credit Facility is $300.0 million. The Kudu Credit Facility matures on March 23, 2036. In connection with the replacement of the Kudu Bank Facility, Kudu recognized a total loss of $4.1 million, representing debt issuance costs and prepayment fees, which are included within interest expense for the year to date period ended June 30, 2021.
The Kudu Credit Facility requires Kudu to maintain an interest reserve account, which is included in restricted cash. As of June 30, 2022, the interest reserve account is $7.3 million. The Kudu Credit Facility requires Kudu to maintain a ratio of the outstanding balance to the sum of the fair market value of the participation contracts and cash held in certain accounts (the “LTV Percentage”) of less than 50% in years 0-3, 40% in years 4-6, 25% in years 7-8, 15% in years 9-10, and 0% thereafter. As of June 30, 2022, Kudu has a 34.1% LTV Percentage.
Kudu may borrow undrawn balances within the initial three-year availability period, subject to customary terms and conditions, to the extent the amount borrowed under the Kudu Credit Facility does not exceed the borrowing base, which is equal to 35% of the fair value of qualifying Kudu Participation Contracts. As of June 30, 2022, the available undrawn balance was $27.8 million.
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The following table presents the change in debt under the Kudu Bank Facility and Kudu Credit Facility for the three and six months ended June 30, 2022 and 2021:

|  | Three Months Ended June 30, |  | Six Months Ended June 30,
Millions |  | 2022 |  | 2021 |  | 2022 |  | 2021
Kudu Bank Facility |  |  |  |  |  |  |  |
Beginning balance |  | $ | — |  |  | $ | — |  |  | $ | — |  |  | $ | 89.2 |
Term loans |  |  |  |  |  |  |  |
Borrowings |  | — |  |  | — |  |  | — |  |  | 3.0 |
Repayments |  | — |  |  | — |  |  | — |  |  | (92.2) |
Ending balance |  | $ | — |  |  | $ | — |  |  | $ | — |  |  | $ | — |
Kudu Credit Facility |  |  |  |  |  |  |  |
Beginning balance |  | $ | 225.4 |  |  | $ | 102.0 |  |  | $ | 225.4 |  |  | $ | — |
Term loans |  |  |  |  |  |  |  |
Borrowings |  | 35.0 |  |  | — |  |  | 35.0 |  |  | 102.0 |
Repayments |  | — |  |  | — |  |  | — |  |  | — |
Ending balance |  | $ | 260.4 |  |  | $ | 102.0 |  |  | $ | 260.4 |  |  | $ | 102.0 |

The Kudu Credit Facility is secured by all property of the loan parties and contains various affirmative and negative covenants that White Mountains considers to be customary for such borrowings.
Other Operations Debt
As of June 30, 2022, debt in White Mountains’s Other Operations segment consisted of five secured credit facilities (collectively, “Other Operations debt”).
The first credit facility has a maximum borrowing capacity of $16.3 million, which is comprised of a term loan of $11.3 million, a delayed-draw term loan of $3.0 million and a revolving credit loan commitment of $2.0 million, all with a maturity date of March 12, 2024. The second credit facility has a maximum borrowing capacity of $15.0 million, which is comprised of a term loan of $9.0 million, a delayed-draw term loan of $4.0 million and a revolving credit loan commitment of $2.0 million, all with a maturity date of July 2, 2025. The third credit facility has a maximum borrowing capacity of $8.0 million, which is comprised of a revolving credit loan commitment, with a maturity date of December 9, 2026. The fourth credit facility has a maximum borrowing capacity of $11.5 million, which is comprised of a revolving credit loan commitment, with a maturity date of April 7, 2027. The fifth credit facility has a maximum borrowing capacity of $11.5 million, which is comprised of a revolving credit loan commitment, with a maturity date of May 31, 2027.
During the three months ended and six months ended June 30, 2022, White Mountains’s Other Operations segment borrowed $19.0 million and $21.0 million. During the three and six months ended June 30, 2022, White Mountains’s Other Operations segment made repayments of $1.1 million and $2.4 million. During the three and six months ended June 30, 2021, White Mountains’s Other Operations segment had no borrowings. During the three and six months ended June 30, 2021, White Mountains’s Other Operation segment made repayments of $0.2 million and $0.4 million on the term loans, under the second credit facility. As of June 30, 2022 and December 31, 2021, the White Mountains’s Other Operations segment debt had an outstanding principal balance of $35.7 million and $17.1 million.
Compliance
At June 30, 2022, White Mountains was in compliance in all material respects with the covenants under all of its debt instruments.
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Note 8. Income Taxes
The Company and its Bermuda domiciled subsidiaries are not subject to Bermuda income tax under current Bermuda law. In the event there is a change in the current law such that taxes are imposed, the Bermuda Exempted Undertakings Tax Protection Act of 1966 states that the Company and its Bermuda domiciled subsidiaries would be exempt from such tax until March 31, 2035. The Company has subsidiaries and branches that operate in various other jurisdictions around the world and are subject to tax in the jurisdictions in which they operate. As of June 30, 2022, the primary jurisdictions in which the Company’s subsidiaries and branches were subject to tax were Ireland, Israel, Luxembourg, the United Kingdom and the United States.
White Mountains’s income tax benefit related to pre-tax loss from continuing operations for the three and six months ended June 30, 2022 represented an effective tax rate of 6.9% and 7.6%. The effective tax rate was different from the U.S. statutory rate of 21.0%, driven primarily by full year forecasted income in jurisdictions with lower tax rates than the United States, partially offset by a full valuation allowance on net deferred tax assets in certain U.S. operations, consisting of the WM Adams, Inc. consolidated tax group within the Other Operations segment, and BAM and state income taxes.
White Mountains’s income tax expense related to pre-tax income from continuing operations for the three months ended June 30, 2021 represented an effective tax rate of 18.6%. The effective tax rate was different from the U.S. statutory rate of 21.0%, driven primarily by full year forecasted income in jurisdictions with lower tax rates than the United States, partially offset by additional tax expense related to the revaluation of U.K. deferred tax assets and liabilities. On June 10, 2021, the U.K. enacted an increase in its corporate tax rate from 19.0% to 25.0% for periods after April 1, 2023. On June 30, 2021, White Mountains increased its net U.K. deferred tax liability to reflect the higher tax rate on temporary differences projected to reverse after the new rate becomes effective.
White Mountains’s income tax expense related to pre-tax income from continuing operations for the six months ended June 30, 2021 represented an effective tax rate of 42.1%. The effective tax rate was different from the U.S. statutory rate of 21.0%, driven primarily by the additional tax expense related to the revaluation of U.K. deferred tax assets and liabilities in relation to White Mountains’s pre-tax income in the first six months of 2021.
In arriving at the effective tax rate for the three and six months ended June 30, 2022 and 2021, White Mountains forecasted all income and expense items including the change in unrealized investment gains (losses) and realized investment gains (losses) for the years ending December 31, 2022 and 2021.
White Mountains records a valuation allowance against deferred tax assets if it becomes more likely than not that all or a portion of a deferred tax asset will not be realized. Changes in valuation allowances from period to period are included in income tax expense in the period of change. In determining whether or not a valuation allowance, or change therein, is warranted, White Mountains considers factors such as prior earnings history, expected future earnings, carryback and carryforward periods and strategies that if executed would result in the realization of a deferred tax asset.
With few exceptions, White Mountains is no longer subject to U.S. federal, state, or non-U.S. income tax examinations by tax authorities for years before 2016.
Note 9. Derivatives
HG Global Interest Rate Cap
On June 16, 2022, HG entered into an interest rate cap agreement, effective on July 25, 2022, to limit its exposure to the risk of interest rate increases on the HG Global Senior Notes. The notional amount of the interest rate cap is $150.0 million and the termination date is July 25, 2025.
HG paid initial premiums of $3.3 million for the interest rate cap. Under the terms of the interest rate cap agreement, if the current three-month SOFR rate at the measurement date exceeds 3.5%, HG will receive payments from the counterparty equal to the difference between the three-month SOFR rate on the determination date and 3.5%, multiplied by the notional amount of the cap based on the number of days in the quarter and a year equal to 360 days. As of June 30, 2022, the three-month SOFR rate was 2.1%.
HG accounts for the interest rate cap as a derivative at fair value, with changes in fair value recognized in current period earnings within interest expense. For the three and six months ended June 30, 2022, White Mountains recognized a loss of $1.5 million related to the change in fair value on the interest rate cap within interest expense. As of June 30, 2022, the estimated fair value of the interest rate cap recorded in other assets was $1.8 million.
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Note 10. Municipal Bond Guarantee Insurance
HG Global was established to fund the startup of BAM, a mutual municipal bond insurer. HG Global, together with its subsidiaries, provided the initial capitalization of BAM through the purchase of $503.0 million of the BAM Surplus Notes.
Reinsurance Treaties
FLRT
BAM is a party to a first loss reinsurance treaty (“FLRT”) with HG Re under which HG Re provides first loss protection up to 15%-of-par outstanding on each municipal bond insured by BAM. For capital appreciation bonds, par is adjusted to the estimated equivalent par value for current interest paying bonds. In return, BAM cedes up to 60% of the risk premium charged for insuring the municipal bond, which is net of a ceding commission. The FLRT is a perpetual agreement with terms that can be renegotiated after a specified period of time. During 2021, BAM and HG Re agreed that the terms may be renegotiated at the end of 2024, and each subsequent five-year period thereafter.
Fidus Re
BAM is party to a collateralized financial guarantee excess of loss reinsurance agreement that serves to increase BAM’s claims paying resources and is provided by Fidus Re Ltd. (“Fidus Re”).
In 2018, Fidus Re was initially capitalized by the issuance of $100.0 million of insurance-linked securities (the “Fidus Re 2018 Agreement”). The proceeds from issuance were placed in a collateral trust supporting Fidus Re’s obligations to BAM. The insurance-linked securities were issued by Fidus Re with an initial term of 12 years and are callable five years after the date of issuance. Under the Fidus Re 2018 Agreement, Fidus Re reinsures 90% of aggregate losses exceeding $165.0 million on a portion of BAM’s financial guarantee portfolio (the “2018 Covered Portfolio”) up to a total reimbursement of $100.0 million. The Fidus Re 2018 Agreement does not provide coverage for losses in excess of $276.1 million. The 2018 Covered Portfolio consists of approximately 29% of BAM’s portfolio of financial guaranty policies issued through June 30, 2022.
In the first quarter of 2021, Fidus Re issued an additional $150.0 million of insurance-linked securities (the “Fidus Re 2021 Agreement”) with an initial term of 12 years and are callable five years after the date of issuance. The proceeds from issuance were placed in a collateral trust supporting Fidus Re’s obligations to BAM. Under the Fidus Re 2021 Agreement, Fidus Re reinsures 90% of aggregate losses exceeding $135.0 million on a portion of BAM’s financial guarantee portfolio (the “2021 Covered Portfolio”) up to a total reimbursement of $150.0 million. The Fidus Re 2021 Agreement does not provide coverage for losses in excess of $301.7 million. The 2021 Covered Portfolio consists of approximately 34% of BAM’s portfolio of financial guaranty policies issued through June 30, 2022.
The Fidus Re agreements are accounted for using deposit accounting and any related financing expenses are recorded in general and administrative expenses as they do not meet the risk transfer requirements necessary to be accounted for as reinsurance.
XOLT
In January 2020, BAM entered into an excess of loss reinsurance agreement (the “XOLT”) with HG Re. Under the XOLT, HG Re provides last dollar protection for exposures on municipal bonds insured by BAM in excess of New York State Department of Financial Services (“NYDFS”) single issuer limits. The XOLT is subject to an aggregate limit equal to the lesser of $75.0 million or the assets held in the supplemental collateral trust (the “Supplemental Trust”) at any point in time. The agreement is accounted for using deposit accounting and any related financing expenses are recorded in general and administrative expenses as the agreement does not meet the risk transfer requirements necessary to be accounted for as reinsurance.
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Collateral Trusts
HG Re’s obligations under the FLRT are limited to the assets in two collateral trusts: the Supplemental Trust and a Regulation 114 Trust (together, the “Collateral Trusts”). Losses required to be reimbursed under the FLRT are subject to an aggregate limit equal to the assets held in the Collateral Trusts at any point in time.
On a monthly basis, BAM deposits cash equal to ceded premiums, net of ceding commissions, due to HG Re under the FLRT directly into the Regulation 114 Trust. The Regulation 114 Trust target balance is equal to gross ceded unearned premiums and unpaid ceded loss and LAE, if any. If, at the end of any quarter, the Regulation 114 Trust balance is below the target balance, funds will be withdrawn from the Supplemental Trust and deposited into the Regulation 114 Trust in an amount equal to the shortfall. If, at the end of any quarter, the Regulation 114 Trust balance is above 102% of the target balance, funds will be withdrawn from the Regulation 114 Trust and deposited into the Supplemental Trust. The Regulation 114 Trust balance as of June 30, 2022 and December 31, 2021 was $253.6 million and $250.2 million.
The Supplemental Trust target balance is $603.0 million, less the amount of cash and securities in the Regulation 114 Trust in excess of its target balance (the “Supplemental Trust Target Balance”). If, at the end of any quarter, the Supplemental Trust balance exceeds the Supplemental Trust Target Balance, such excess may be distributed to HG Re. The distribution will be made first as an assignment of accrued interest on the BAM Surplus Notes and second in cash and/or fixed income securities.
As the BAM Surplus Notes are repaid over time, the BAM Surplus Notes will be replaced in the Supplemental Trust by cash and fixed income securities. The Supplemental Trust balance as of June 30, 2022 and December 31, 2021 was $583.6 million and $601.8 million.
As of June 30, 2022 and December 31, 2021, the Collateral Trusts held assets of $837.2 million and $852.0 million, which included $463.9 million and $481.7 million of cash and investments, $364.6 million and $364.6 million of BAM Surplus Notes and $8.7 million and $5.7 million of interest receivable on the BAM Surplus Notes.
BAM Surplus Notes
Through 2024, the interest rate on the BAM Surplus Notes is a variable rate equal to the one-year U.S. Treasury rate plus 300 basis points, set annually. During 2022, the interest rate on the BAM Surplus Notes is 3.2%. Beginning in 2025, the interest rate will be fixed at the higher of the then current variable rate or 8.0%. Under its agreements with HG Global, BAM is required to seek regulatory approval to pay interest and principal on the BAM Surplus Notes only to the extent that its remaining qualified statutory capital and other capital resources continue to support its outstanding obligations, its business plan and its “AA/stable” rating from Standard & Poor’s. No payment of principal or interest on the BAM Surplus Notes may be made without the approval of the NYDFS.
In December 2021, BAM made a $33.8 million cash payment of principal and interest on the BAM Surplus Notes held by HG Global. Of this payment, $23.6 million was a repayment of principal held in the Supplemental Trust, $0.4 million was a payment of accrued interest held inside the Supplemental Trust and $9.8 million was a payment of accrued interest held outside the Supplemental Trust.
During the three and six months ended June 30, 2022 and 2021, BAM made no repayments of the BAM Surplus Notes or accrued interest.
As of June 30, 2022 and December 31, 2021, the principal balance on the BAM Surplus Notes was $364.6 million and $364.6 million and total interest receivable on the BAM Surplus Notes was $163.5 million and $157.6 million.
Insured Obligations and Premiums
The following table presents a schedule of BAM’s insured obligations as of June 30, 2022 and December 31, 2021:

|  | June 30, 2022 |  | December 31, 2021
Contracts outstanding |  | 12,852 |  |  | 12,350 |
Remaining weighted average contract period outstanding (in years) |  | 10.7 |  | 10.8
Contractual debt service outstanding (in millions): |  |  |  |
Principal |  | $ | 95,926.1 |  |  | $ | 89,196.5 |
Interest |  | 45,150.7 |  |  | 41,486.5 |
Total debt service outstanding |  | $ | 141,076.8 |  |  | $ | 130,683.0 |
Gross unearned insurance premiums (in millions) |  | $ | 274.0 |  |  | $ | 266.3 |

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The following table presents a schedule of BAM’s future premium revenues as of June 30, 2022:

Millions |  | June 30, 2022
July 1, 2022 - December 31, 2022 |  | $ | 13.0 |
January 1, 2023 - March 31, 2023 |  | 6.4 |
April 1, 2023 - June 30, 2023 |  | 6.3 |
July 1, 2023 - September 30, 2023 |  | 6.2 |
October 1, 2023 - December 31, 2023 |  | 6.1 |
Total 2023 |  | 25.0 |
2024 |  | 23.5 |
2025 |  | 21.8 |
2026 |  | 20.3 |
2027 |  | 18.9 |
2028 and thereafter |  | 151.5 |
Total gross unearned insurance premiums |  | $ | 274.0 |

The following table presents a schedule of written premiums and earned premiums included in White Mountains’s HG Global/BAM segment for the three and six months ended June 30, 2022 and 2021:

|  |  |  | Three Months Ended June 30, |  | Six Months Ended June 30,
Millions |  |  |  |  |  | 2022 |  | 2021 |  | 2022 |  | 2021
Written premiums: |  |  |  |  |  |  |  |  |  |  |  |
Direct |  |  |  |  |  | $ | 17.1 |  |  | $ | 13.8 |  |  | $ | 26.5 |  |  | $ | 21.8 |
Assumed |  |  |  |  |  | — |  |  | — |  |  | — |  |  | 4.5 |
Gross written premiums (1) |  |  |  |  |  | $ | 17.1 |  |  | $ | 13.8 |  |  | $ | 26.5 |  |  | $ | 26.3 |
Earned premiums: |  |  |  |  |  |  |  |  |  |  |  |
Direct |  |  |  |  |  | $ | 7.9 |  |  | $ | 5.6 |  |  | $ | 15.5 |  |  | $ | 10.9 |
Assumed |  |  |  |  |  | 2.6 |  |  | .9 |  |  | 3.4 |  |  | 2.0 |
Gross earned premiums (1) |  |  |  |  |  | $ | 10.5 |  |  | $ | 6.5 |  |  | $ | 18.9 |  |  | $ | 12.9 |

(1) There are no ceded premium amounts in the periods presented and gross earned premiums are equivalent to net written premiums and net earned premiums.
In January 2021, BAM entered into a 100% facultative quota share reinsurance agreement under which it assumed a portfolio of municipal bond guarantee contracts with a par value of $805.5 million.
None of the contracts assumed under these reinsurance agreements were non-performing, and no loss reserves have been established for any of the contracts, either as of the transaction date or as of June 30, 2022. The agreement, which covers future claims exposure only, meets the risk transfer criteria under ASC 944-20, Insurance Activities and accordingly has been accounted for as reinsurance.
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Note 11. Earnings Per Share
White Mountains calculates earnings per share using the two-class method, which allocates earnings between common shares and unvested restricted common shares. Both classes of shares participate equally in dividends and earnings on a per share basis. Basic earnings per share amounts are based on the weighted average number of common shares outstanding adjusted for unvested restricted common shares.
The following table presents the Company’s computation of earnings per share from continuing operations for the three and six months ended June 30, 2022 and 2021. See Note 19 — “Held for Sale and Discontinued Operations.”

|  | Three Months Ended |  | Six Months Ended
|  | June 30, |  | June 30,
|  | 2022 |  | 2021 |  | 2022 |  | 2021
Basic and diluted earnings per share numerators (in millions): |  |  |  |  |  |  |  |
Net income (loss) attributable to White Mountains’s common shareholders |  | $ | (169.2) |  |  | $ | 138.5 |  |  | $ | (135.8) |  |  | $ | 63.2 |
Less: total income (loss) from discontinued operations, net of tax (1) |  | 6.4 |  |  | 1.1 |  |  | 10.1 |  |  | (10.4) |
Less: net (income) loss from discontinued operations attributable to non-controlling interests |  | $ | (.5) |  |  | $ | — |  |  | $ | (.6) |  |  | $ | 1.1 |
Net income (loss) from continuing operations attributable to White Mountains’s common shareholders |  | $ | (175.1) |  |  | $ | 137.4 |  |  | $ | (145.3) |  |  | $ | 72.5 |
Allocation of (earnings) losses to participating restricted common shares (2) |  | 2.2 |  |  | (1.7) |  |  | 1.6 |  |  | (.9) |
Basic and diluted earnings (losses) per share numerators |  | $ | (172.9) |  |  | $ | 135.7 |  |  | $ | (143.7) |  |  | $ | 71.6 |
Basic earnings per share denominators (in thousands): |  |  |  |  |  |  |  |
Total average common shares outstanding during the period |  | 2,979.0 |  |  | 3,107.8 |  |  | 2,992.5 |  |  | 3,104.0 |
Average unvested restricted common shares (3) |  | (38.3) |  |  | (37.8) |  |  | (33.9) |  |  | (35.1) |
Basic earnings (losses) per share denominator |  | 2,940.7 |  |  | 3,070.0 |  |  | 2,958.6 |  |  | 3,068.9 |
Diluted earnings per share denominator (in thousands): |  |  |  |  |  |  |  |
Total average common shares outstanding during the period |  | 2,979.0 |  |  | 3,107.8 |  |  | 2,992.5 |  |  | 3,104.0 |
Average unvested restricted common shares (3) |  | (38.3) |  |  | (37.8) |  |  | (33.9) |  |  | (35.1) |
Diluted earnings (losses) per share denominator |  | 2,940.7 |  |  | 3,070.0 |  |  | 2,958.6 |  |  | 3,068.9 |
Basic and diluted earnings per share (in dollars) - continuing operations: |  |  |  |  |  |  |  |
Distributed earnings - dividends declared and paid |  | $ | — |  |  | $ | — |  |  | $ | 1.00 |  |  | $ | 1.00 |
Undistributed earnings (losses) |  | (58.78) |  |  | 44.21 |  |  | (49.57) |  |  | 22.35 |
Basic and diluted earnings (losses) per share |  | $ | (58.78) |  |  | $ | 44.21 |  |  | $ | (48.57) |  |  | $ | 23.35 |

(1) Includes net gain (loss) from sale of Sirius Group, net of tax and net income (loss) from NSM Group discontinued operations, net of tax. See Note 19 — “Held for Sale and Discontinued Operations.”
(2) Restricted shares issued by White Mountains receive dividends and are therefore considered participating securities.
(3) Restricted shares outstanding vest upon a stated date. See Note 12 — “Employee Share-Based Incentive Compensation Plans.”
The following table presents the undistributed net earnings (losses) from continuing operations for the three and six months ended June 30, 2022 and 2021. See Note 19 — “Held for Sale and Discontinued Operations.”

|  | Three Months Ended |  | Six Months Ended
|  | June 30, |  | June 30,
Millions |  | 2022 |  | 2021 |  | 2022 |  | 2021
Undistributed net earnings (losses) - continuing operations: |  |  |  |  |  |  |  |
Net income (losses) attributable to White Mountains’s common shareholders, net of restricted common share amounts |  | $ | (172.9) |  |  | $ | 135.7 |  |  | $ | (143.7) |  |  | $ | 71.6 |
Dividends declared, net of restricted common share amounts (1) |  | — |  |  | — |  |  | (3.0) |  |  | (3.1) |
Total undistributed net earnings (losses), net of restricted common share amounts |  | $ | (172.9) |  |  | $ | 135.7 |  |  | $ | (146.7) |  |  | $ | 68.5 |

(1) Restricted shares issued by White Mountains receive dividends and are therefore considered participating securities.
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Note 12. Employee Share-Based Incentive Compensation Plans
White Mountains’s Long-Term Incentive Plan (the “WTM Incentive Plan”) provides for grants of various types of share-based and non-share-based incentive awards to key employees of White Mountains. As of June 30, 2022 and 2021, White Mountains’s share-based compensation incentive awards consist of performance shares and restricted shares.
Performance Shares
Performance shares are designed to reward employees for meeting company-wide performance targets. Performance shares are conditional grants of a specified maximum number of common shares or an equivalent amount of cash. Awards generally vest at the end of a three-year service period, are subject to the attainment of pre-specified performance goals, and are valued based on the market value of common shares at the time awards are paid. Performance shares earned under the WTM Incentive Plan are typically paid in cash but may be paid in common shares. Compensation expense is recognized for the vested portion of the awards over the related service periods. The level of payout ranges from zero to two times the number of shares initially granted, depending on White Mountains’s financial performance. Performance shares become payable at the conclusion of a performance cycle (typically 3 years) if pre-defined financial targets are met. The performance measures used for determining performance share payouts are growth in White Mountains’s adjusted book value per share and intrinsic value per share. Intrinsic value per share is generally calculated by adjusting adjusted book value per share for differences between the adjusted book value of certain assets and liabilities and White Mountains’s estimate of their underlying intrinsic values.
The following table presents the performance share activity for the three and six months ended June 30, 2022 and 2021 for performance shares granted under the WTM Incentive Plan:

|  | Three Months Ended June 30, |  | Six Months Ended June 30,
|  | 2022 |  | 2021 |  | 2022 |  | 2021
Millions, except share amounts |  | Target Performance Shares Outstanding |  | Accrued Expense |  | Target Performance Shares Outstanding |  | Accrued Expense |  | Target Performance Shares Outstanding |  | Accrued Expense |  | Target Performance Shares Outstanding |  | Accrued Expense
Beginning of period |  | 39,302 |  |  | $ | 21.9 |  |  | 40,784 |  |  | $ | 38.2 |  |  | 40,828 |  |  | $ | 42.2 |  |  | 42,458 |  |  | $ | 56.3 |
Shares paid (1) |  | — |  |  | — |  |  | — |  |  | — |  |  | (14,625) |  |  | (26.4) |  |  | (14,117) |  |  | (34.6) |
New grants |  | 150 |  |  | — |  |  | 475 |  |  | — |  |  | 13,225 |  |  | — |  |  | 13,475 |  |  | — |
Forfeitures and cancellations (2) |  | (3) |  |  | (.4) |  |  | (7) |  |  | (.2) |  |  | 21 |  |  | (.1) |  |  | (564) |  |  | .2 |
Expense recognized |  | — |  |  | 19.7 |  |  | — |  |  | 7.7 |  |  | — |  |  | 25.5 |  |  | — |  |  | 23.8 |
End of period |  | 39,449 |  |  | $ | 41.2 |  |  | 41,252 |  |  | $ | 45.7 |  |  | 39,449 |  |  | $ | 41.2 |  |  | 41,252 |  |  | $ | 45.7 |

(1) WTM performance share payments in 2022 for the 2019-2021 performance cycle, which were paid in cash in March 2022 at 172% of target. WTM performance share payments in 2021 for the 2018-2020 performance cycle, which were paid in cash in March 2021 at 200% of target.
(2) Amounts include changes in assumed forfeitures, as required under GAAP.
During the three and six months ended June 30, 2022, White Mountains granted 150 and 13,225 performance shares for the 2022-2024 performance cycle. During the three and six months ended June 30, 2021, White Mountains granted 475 and 13,475 performance shares for the 2021-2023 performance cycle.
For the 2019-2021 performance cycle, the Company issued common shares for 750 performance shares earned and all other performance shares earned were settled in cash. For the 2018-2020 performance cycle, all performance shares earned were settled in cash. If all the outstanding WTM performance shares had vested on June 30, 2022, the total additional compensation cost to be recognized would have been $44.0 million, based on accrual factors (common share price and payout assumptions) as of June 30, 2022.
37

The following table presents performance shares outstanding and accrued expense for performance shares awarded under the WTM Incentive Plan as of June 30, 2022 for each performance cycle:

|  | Six Months Ended June 30, 2022
Millions, except share amounts |  | Target Performance Shares Outstanding |  | Accrued Expense
Performance cycle: |  |  |  |
2020 – 2022 |  | 13,350 |  |  | $ | 27.4 |
2021 – 2023 |  | 13,475 |  |  | 11.0 |
2022 – 2024 |  | 13,225 |  |  | 3.5 |
Sub-total |  | 40,050 |  |  | 41.9 |
Assumed forfeitures |  | (601) |  |  | (.7) |
June 30, 2022 |  | 39,449 |  |  | $ | 41.2 |

Restricted Shares
Restricted shares are grants of a specified number of common shares that generally vest at the end of a 34-month service period. The following table presents the unrecognized compensation cost associated with the outstanding restricted share awards for the three and six months ended June 30, 2022 and 2021:

|  | Three Months Ended June 30, |  | Six Months Ended June 30,
|  | 2022 |  | 2021 |  | 2022 |  | 2021
Millions, except share amounts |  | Restricted Shares |  | Unamortized Issue Date Fair Value |  | Restricted Shares |  | Unamortized Issue Date Fair Value |  | Restricted Shares |  | Unamortized Issue Date Fair Value |  | Restricted Shares |  | Unamortized Issue Date Fair Value
Non-vested, |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning of period |  | 38,200 |  |  | $ | 26.5 |  |  | 37,805 |  |  | $ | 26.2 |  |  | 37,850 |  |  | $ | 15.9 |  |  | 43,105 |  |  | $ | 15.2 |
Issued |  | 150 |  |  | .2 |  |  | 475 |  |  | .5 |  |  | 13,225 |  |  | 13.8 |  |  | 13,475 |  |  | 16.1 |
Vested |  | — |  |  | — |  |  | — |  |  | — |  |  | (12,725) |  |  | — |  |  | (17,717) |  |  | — |
Forfeited |  | — |  |  | — |  |  | — |  |  | — |  |  | — |  |  | — |  |  | (583) |  |  | (.6) |
Expense recognized |  | — |  |  | (3.7) |  |  | — |  |  | (3.5) |  |  | — |  |  | (6.7) |  |  | — |  |  | (7.5) |
End of period |  | 38,350 |  |  | $ | 23.0 |  |  | 38,280 |  |  | $ | 23.2 |  |  | 38,350 |  |  | $ | 23.0 |  |  | 38,280 |  |  | $ | 23.2 |

During the three and six months ended June 30, 2022, White Mountains issued 150 and 13,225 restricted shares that vest on January 1, 2025. During the three and six months ended June 30, 2021, White Mountains issued 475 and 13,475 restricted shares that vest on January 1, 2024. The unamortized issue date fair value as of June 30, 2022 is expected to be recognized ratably over the remaining vesting periods.
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Note 13. Leases
White Mountains has entered into lease agreements, primarily for office space. These leases are classified as operating leases, with lease expense recognized on a straight-line basis over the term of the lease. Lease incentives, such as free rent or landlord reimbursements for leasehold improvements, are recognized at lease inception and amortized on a straight-line basis over the term of the lease. Lease expense and the amortization of leasehold improvements are recognized within general and administrative expenses. Lease payments related to options to extend or renew the lease term are excluded from the calculation of lease liabilities unless White Mountains is reasonably certain of exercising those options.
As of June 30, 2022 and December 31, 2021, the right of use (“ROU”) asset was $26.2 million and $28.1 million and lease liabilities were $28.2 million and $30.0 million.
The following table summarizes net lease expense recognized in White Mountains’s consolidated statements of operations for the three and six months ended June 30, 2022 and 2021:

Millions |  | Three Months Ended June 30, |  | Six Months Ended June 30,
Lease Cost |  | 2022 |  | 2021 |  | 2022 |  | 2021
Lease cost |  | $ | 2.0 |  |  | $ | 1.8 |  |  | $ | 4.0 |  |  | $ | 2.9 |
Less: sublease income |  | .1 |  |  | .1 |  |  | .3 |  |  | .2 |
Net lease cost |  | $ | 1.9 |  |  | $ | 1.7 |  |  | $ | 3.7 |  |  | $ | 2.7 |

The following table presents the contractual maturities of the lease liabilities associated with White Mountains’s operating lease agreements as of June 30, 2022:

Millions |  | As of June 30, 2022
Remainder of 2022 |  | $ | 3.4 |
2023 |  | 8.2 |
2024 |  | 7.2 |
2025 |  | 4.9 |
2026 |  | 2.6 |
Thereafter |  | 5.0 |
Total undiscounted lease payments |  | 31.3 |
Less: present value adjustment |  | 3.1 |
Operating lease liability |  | $ | 28.2 |

The following tables present lease related assets and liabilities by reportable segment as of June 30, 2022 and December 31, 2021:

|  | As of June 30, 2022
Millions |  | HG/BAM |  | Ark |  |  |  | Kudu |  | Other Operations |  | Total |  | Weighted Average Incremental Borrowing Rate (1)
ROU lease asset |  | $ | 6.7 |  |  | $ | 7.3 |  |  |  |  | $ | 6.1 |  |  | $ | 6.1 |  |  | $ | 26.2 |  |  | 4.1%
Lease liability |  | $ | 7.2 |  |  | $ | 7.3 |  |  |  |  | $ | 6.9 |  |  | $ | 6.8 |  |  | $ | 28.2 |  |

(1) The present value of the remaining lease payments was determined by discounting the lease payments using the incremental borrowing rate.

|  | As of December 31, 2021
Millions |  | HG/BAM |  | Ark |  |  |  | Kudu |  | Other Operations |  | Total |  | Weighted Average Incremental Borrowing Rate (1)
ROU lease asset |  | $ | 7.6 |  |  | $ | 7.0 |  |  |  |  | $ | 6.4 |  |  | $ | 7.1 |  |  | $ | 28.1 |  |  | 4.0%
Lease liability |  | $ | 8.1 |  |  | $ | 7.0 |  |  |  |  | $ | 7.1 |  |  | $ | 7.8 |  |  | $ | 30.0 |  |

(1) The present value of the remaining lease payments was determined by discounting the lease payments using the incremental borrowing rate.
39

Note 14. Non-controlling Interests
Non-controlling interests consist of the ownership interests of non-controlling shareholders in consolidated entities and are presented separately on the balance sheet.
The following table presents the balance of non-controlling interests included in White Mountains’s total equity and the ownership interests held by non-controlling shareholders as of June 30, 2022 and December 31, 2021:

|  | June 30, 2022 |  | December 31, 2021
$ in Millions |  | Non-controlling Percentage (1) |  | Non-controlling Equity |  | Non-controlling Percentage (1) |  | Non-controlling Equity
Non-controlling interests, excluding BAM |  |  |  |  |  |  |  |
HG Global |  | 3.1 | % |  | $ | 2.7 |  |  | 3.1 | % |  | $ | 8.9 |
Ark |  | 28.0 | % |  | 211.4 |  |  | 28.0 | % |  | 230.7 |
Kudu |  | 10.7 | % |  | 71.3 |  |  | .7 | % |  | 12.4 |
NSM (2) |  | 3.5 | % |  | 17.1 |  |  | 3.5 | % |  | 16.7 |
Other |  | various |  | 20.1 |  |  | various |  | 11.9 |
Total, excluding BAM |  |  |  | 322.6 |  |  |  |  | 280.6 |
BAM |  | 100.0 | % |  | (153.9) |  |  | 100.0 | % |  | (124.0) |
Total non-controlling interests |  |  |  | $ | 168.7 |  |  |  |  | $ | 156.6 |

(1) The non-controlling percentage represents the basic ownership interests held by non-controlling shareholders with the exception of HG Global, for which the non-controlling percentage represents the preferred share ownership held by non-controlling shareholders.
(2) As a result of the NSM Transaction, NSM has been classified as discontinued operations. See Note 19 — “Held for Sale and Discontinued Operations.”
Note 15. Segment Information
As of June 30, 2022, White Mountains conducted its operations through four segments: (1) HG Global/BAM, (2) Ark, (3) Kudu, and (4) Other Operations. As a result of the NSM Transaction, the results of operations for NSM, previously reported as a segment, have been classified as discontinued operations in the statements of operations and comprehensive income. Prior period amounts have been reclassified to conform to the current period’s presentation. See Note 19 — “Held for Sale and Discontinued Operations.”
White Mountains has made its segment determination based on consideration of the following criteria: (i) the nature of the business activities of each of the Company’s subsidiaries and affiliates; (ii) the manner in which the Company’s subsidiaries and affiliates are organized; (iii) the existence of primary managers responsible for specific subsidiaries and affiliates; and (iv) the organization of information provided to the chief operating decision makers and the Board of Directors. Significant intercompany transactions among White Mountains’s segments have been eliminated herein.
40

The following tables present the financial information for White Mountains’s segments:

Millions |  | HG Global/ BAM |  | Ark |  |  |  | Kudu |  |  |  | Other Operations |  | Total
Three Months Ended June 30, 2022 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Earned insurance premiums |  | $ | 10.5 |  |  | $ | 217.3 |  |  |  |  | $ | — |  |  |  |  | $ | — |  |  | $ | 227.8 |
Net investment income |  | 4.8 |  |  | 3.2 |  |  |  |  | 13.8 |  |  |  |  | 3.3 |  |  | 25.1 |
Net realized and unrealized investment gains (losses) |  | (30.1) |  |  | (44.6) |  |  |  |  | (17.6) |  |  |  |  | (11.8) |  |  | (104.1) |
Net realized and unrealized investment gains (losses) from investment in MediaAlpha |  | — |  |  | — |  |  |  |  | — |  |  |  |  | (113.5) |  |  | (113.5) |
Commission revenues |  | — |  |  | — |  |  |  |  | — |  |  |  |  | 2.6 |  |  | 2.6 |
Other revenues |  | 1.6 |  |  | 6.3 |  |  |  |  | — |  |  |  |  | 30.9 |  |  | 38.8 |
Total revenues |  | (13.2) |  |  | 182.2 |  |  |  |  | (3.8) |  |  |  |  | (88.5) |  |  | 76.7 |
Loss and loss adjustment expenses |  | — |  |  | 120.5 |  |  |  |  | — |  |  |  |  | — |  |  | 120.5 |
Insurance and reinsurance acquisition expenses |  | 4.8 |  |  | 50.2 |  |  |  |  | — |  |  |  |  | — |  |  | 55.0 |
Cost of sales |  | — |  |  | — |  |  |  |  | — |  |  |  |  | 22.4 |  |  | 22.4 |
General and administrative expenses |  | 17.4 |  |  | 29.8 |  |  |  |  | 3.0 |  |  |  |  | 50.1 |  |  | 100.3 |
Amortization of other intangible assets |  | — |  |  | — |  |  |  |  | .1 |  |  |  |  | .9 |  |  | 1.0 |
Interest expense |  | 3.4 |  |  | 3.1 |  |  |  |  | 3.3 |  |  |  |  | .3 |  |  | 10.1 |
Total expenses |  | 25.6 |  |  | 203.6 |  |  |  |  | 6.4 |  |  |  |  | 73.7 |  |  | 309.3 |
Pre-tax income (loss) from continuing operations |  | $ | (38.8) |  |  | $ | (21.4) |  |  |  |  | $ | (10.2) |  |  |  |  | $ | (162.2) |  |  | $ | (232.6) |

Millions |  | HG Global/ BAM |  | Ark |  |  |  | Kudu |  |  |  | Other Operations |  | Total
Three Months Ended June 30, 2021 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Earned insurance premiums |  | $ | 6.5 |  |  | $ | 117.8 |  |  |  |  | $ | — |  |  |  |  | $ | — |  |  | $ | 124.3 |
Net investment income |  | 4.3 |  |  | .4 |  |  |  |  | 8.4 |  |  |  |  | 4.0 |  |  | 17.1 |
Net realized and unrealized investment gains (losses) |  | 6.3 |  |  | 8.9 |  |  |  |  | 27.8 |  |  |  |  | 16.6 |  |  | 59.6 |
Net realized and unrealized investment gains (losses) from investment in MediaAlpha |  | — |  |  | — |  |  |  |  | — |  |  |  |  | 113.0 |  |  | 113.0 |
Commission revenues |  | — |  |  | — |  |  |  |  | — |  |  |  |  | 2.3 |  |  | 2.3 |
Other revenues |  | .3 |  |  | 3.4 |  |  |  |  | — |  |  |  |  | 22.4 |  |  | 26.1 |
Total revenues |  | 17.4 |  |  | 130.5 |  |  |  |  | 36.2 |  |  |  |  | 158.3 |  |  | 342.4 |
Losses and loss adjustment expenses |  | — |  |  | 52.6 |  |  |  |  | — |  |  |  |  | — |  |  | 52.6 |
Insurance and reinsurance acquisition expenses |  | 1.6 |  |  | 34.0 |  |  |  |  | — |  |  |  |  | — |  |  | 35.6 |
Cost of sales |  | — |  |  | — |  |  |  |  | — |  |  |  |  | 17.9 |  |  | 17.9 |
General and administrative expenses |  | 13.9 |  |  | 24.8 |  |  |  |  | 3.2 |  |  |  |  | 29.3 |  |  | 71.2 |
Amortization of other intangible assets |  | — |  |  | — |  |  |  |  | .1 |  |  |  |  | .4 |  |  | .5 |
Interest expense |  | — |  |  | 1.3 |  |  |  |  | 1.5 |  |  |  |  | .4 |  |  | 3.2 |
Total expenses |  | 15.5 |  |  | 112.7 |  |  |  |  | 4.8 |  |  |  |  | 48.0 |  |  | 181.0 |
Pre-tax income (loss) from continuing operations |  | $ | 1.9 |  |  | $ | 17.8 |  |  |  |  | $ | 31.4 |  |  |  |  | $ | 110.3 |  |  | $ | 161.4 |

41

Millions |  | HG Global/ BAM |  | Ark |  |  |  | Kudu |  |  |  | Other Operations |  | Total
Six Months Ended June 30, 2022 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Earned insurance premiums |  | $ | 18.9 |  |  | $ | 411.7 |  |  |  |  | $ | — |  |  |  |  | $ | — |  |  | $ | 430.6 |
Net investment income |  | 9.4 |  |  | 4.8 |  |  |  |  | 26.4 |  |  |  |  | 5.1 |  |  | 45.7 |
Net realized and unrealized investment gains (losses) |  | (75.2) |  |  | (62.1) |  |  |  |  | 4.7 |  |  |  |  | 20.1 |  |  | (112.5) |
Net realized and unrealized investment gains (losses) from investment in MediaAlpha |  | — |  |  | — |  |  |  |  | — |  |  |  |  | (94.7) |  |  | (94.7) |
Commission revenues |  | — |  |  | — |  |  |  |  | — |  |  |  |  | 5.5 |  |  | 5.5 |
Other revenues |  | 2.4 |  |  | 3.5 |  |  |  |  | — |  |  |  |  | 56.6 |  |  | 62.5 |
Total revenues |  | (44.5) |  |  | 357.9 |  |  |  |  | 31.1 |  |  |  |  | (7.4) |  |  | 337.1 |
Loss and loss adjustment expenses |  | — |  |  | 242.5 |  |  |  |  | — |  |  |  |  | — |  |  | 242.5 |
Insurance and reinsurance acquisition expenses |  | 7.8 |  |  | 100.1 |  |  |  |  | — |  |  |  |  | — |  |  | 107.9 |
Cost of sales |  | — |  |  | — |  |  |  |  | — |  |  |  |  | 43.8 |  |  | 43.8 |
General and administrative expenses |  | 33.7 |  |  | 52.9 |  |  |  |  | 5.7 |  |  |  |  | 79.0 |  |  | 171.3 |
Amortization of other intangible assets |  | — |  |  | — |  |  |  |  | .2 |  |  |  |  | 1.8 |  |  | 2.0 |
Interest expense |  | 3.4 |  |  | 6.9 |  |  |  |  | 6.1 |  |  |  |  | .6 |  |  | 17.0 |
Total expenses |  | 44.9 |  |  | 402.4 |  |  |  |  | 12.0 |  |  |  |  | 125.2 |  |  | 584.5 |
Pre-tax income (loss) from continuing operations |  | $ | (89.4) |  |  | $ | (44.5) |  |  |  |  | $ | 19.1 |  |  |  |  | $ | (132.6) |  |  | $ | (247.4) |

Millions |  | HG Global/ BAM |  | Ark |  |  |  | Kudu |  |  |  | Other Operations |  | Total
Six Months Ended June 30, 2021 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Earned insurance premiums |  | $ | 12.9 |  |  | $ | 222.4 |  |  |  |  | $ | — |  |  |  |  | $ | — |  |  | $ | 235.3 |
Net investment income |  | 8.8 |  |  | 1.2 |  |  |  |  | 16.6 |  |  |  |  | 11.1 |  |  | 37.7 |
Net realized and unrealized investment gains (losses) |  | (11.6) |  |  | 10.0 |  |  |  |  | 43.6 |  |  |  |  | 18.7 |  |  | 60.7 |
Net realized and unrealized investment gains (losses) from investment in MediaAlpha |  | — |  |  | — |  |  |  |  | — |  |  |  |  | 71.3 |  |  | 71.3 |
Commission revenues |  | — |  |  | — |  |  |  |  | — |  |  |  |  | 4.6 |  |  | 4.6 |
Other revenues |  | .6 |  |  | 6.0 |  |  |  |  | .1 |  |  |  |  | 29.5 |  |  | 36.2 |
Total revenues |  | 10.7 |  |  | 239.6 |  |  |  |  | 60.3 |  |  |  |  | 135.2 |  |  | 445.8 |
Losses and loss adjustment expenses |  | — |  |  | 118.6 |  |  |  |  | — |  |  |  |  | — |  |  | 118.6 |
Insurance and reinsurance acquisition expenses |  | 3.5 |  |  | 70.7 |  |  |  |  | — |  |  |  |  | — |  |  | 74.2 |
Cost of sales |  | — |  |  | — |  |  |  |  | — |  |  |  |  | 21.9 |  |  | 21.9 |
General and administrative expenses |  | 30.3 |  |  | 62.6 |  |  |  |  | 5.7 |  |  |  |  | 65 |  |  | 163.6 |
Amortization of other intangible assets |  | — |  |  | — |  |  |  |  | .2 |  |  |  |  | .9 |  |  | 1.1 |
Interest expense |  | — |  |  | 2.4 |  |  |  |  | 7.3 |  |  |  |  | .7 |  |  | 10.4 |
Total expenses |  | 33.8 |  |  | 254.3 |  |  |  |  | 13.2 |  |  |  |  | 88.5 |  |  | 389.8 |
Pre-tax income (loss) from continuing operations |  | $ | (23.1) |  |  | $ | (14.7) |  |  |  |  | $ | 47.1 |  |  |  |  | $ | 46.7 |  |  | $ | 56.0 |

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Note 16. Equity-Method Eligible Investments
White Mountains’s equity method eligible investments include White Mountains’s investment in MediaAlpha, certain other unconsolidated entities, including Kudu’s Participation Contracts, private equity funds and hedge funds in which White Mountains has the ability to exert significant influence over the investee’s operating and financial policies.
The following table presents the ownership interests and carrying values of White Mountains’s equity method eligible investments as of June 30, 2022 and December 31, 2021:

|  | June 30, 2022 |  | December 31, 2021
Millions |  | Ownership Interest |  | Carrying Value |  | Ownership Interest |  | Carrying Value
Kudu Participation Contracts (1) |  | 3.2 - 33.4% |  | $ | 727.0 |  |  | 3.2 - 32.0% |  | $ | 669.5 |
Investment in MediaAlpha |  | 27.6 | % |  | 166.9 |  |  | 28.0 | % |  | 261.6 |
PassportCard/DavidShield |  | 53.8 | % |  | 132.0 |  |  | 53.8 | % |  | 120.0 |
Elementum Holdings, L.P. |  | 29.7 | % |  | 45.0 |  |  | 29.7 | % |  | 45.0 |
Other equity method eligible investments, at fair value |  | Under 50.0% |  | 106.5 |  |  | Under 50.0% |  | 109.3 |
Other equity method eligible investments, at fair value |  | 50.0% and over |  | 27.7 |  |  | 50.0% and over |  | 17.8 |

(1) Ownership interest generally references basic ownership interest with the exception of Kudu’s Participation Contracts, which are non-controlling equity interests in the form of revenue and earnings participation contracts.
For the three and six months ended June 30, 2022, White Mountains received dividend and income distributions from equity method eligible investments of $15.6 million and $28.7 million, which were recorded within net investment income in the consolidated statements of operations. For the three and six months ended June 30, 2021, White Mountains received dividend and income distributions from equity method eligible investments of $11.0 million, and $24.7 million, which were recorded within net investment income in the consolidated statements of operations.
Subsequent to the MediaAlpha IPO, White Mountains’s investment in MediaAlpha is accounted for at fair value based on the publicly traded share price of MediaAlpha’s common stock, and White Mountains presents its investment in MediaAlpha as a separate line item on the balance sheet. See Note 2 — “Significant Transactions.” For the six months ended June 30, 2022 and 2021, MediaAlpha was considered a significant subsidiary.
The following tables present summarized financial information for MediaAlpha as of June 30, 2022 and December 31, 2021 and for the three and six months ended June 30, 2022 and 2021:

Millions |  | June 30, 2022 |  | December 31, 2021 |  |
Balance sheet data: |  |  |  |  |  |
Total assets |  | $ | 285.9 |  |  | $ | 289.8 |  |  |
Total liabilities |  | $ | 345.4 |  |  | $ | 351.4 |  |  |

|  | Three Months Ended June 30, |  | Six Months Ended June 30,
Millions |  | 2022 |  | 2021 |  | 2022 |  | 2021
Income statement data: |  |  |  |  |  |  |  |
Total revenues |  | $ | 103.4 |  |  | $ | 157.4 |  |  | $ | 246.0 |  |  | $ | 330.9 |
Total expenses |  | $ | 116.4 |  |  | $ | 157.8 |  |  | $ | 268.9 |  |  | $ | 331.1 |
Net income (loss) |  | $ | (13.0) |  |  | $ | (.4) |  |  | $ | (22.9) |  |  | $ | (.2) |

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Note 17. Fair Value of Financial Instruments
White Mountains records its financial instruments at fair value with the exception of debt obligations, which are recorded as debt at face value less unamortized original issue discount. See Note 7 — “Debt.”
The following tables presents the fair value and carrying value of these financial instruments as of June 30, 2022 and December 31, 2021:

|  | June 30, 2022 |  | December 31, 2021
Millions |  | Fair Value |  | Carrying Value |  | Fair Value |  | Carrying Value
HG Global Senior Notes |  | $ | 144.8 |  |  | $ | 146.3 |  |  | $ | — |  |  | $ | — |
Ark 2007 Subordinated Notes |  | $ | 25.9 |  |  | $ | 30.0 |  |  | $ | 27.6 |  |  | $ | 30.0 |
Ark 2021 Subordinated Notes |  | $ | 149.8 |  |  | $ | 153.5 |  |  | $ | 162.8 |  |  | $ | 155.9 |
Kudu Credit Facility |  | $ | 264.2 |  |  | $ | 253.3 |  |  | $ | 246.8 |  |  | $ | 218.2 |
Other Operations debt |  | $ | 35.4 |  |  | $ | 35.0 |  |  | $ | 17.7 |  |  | $ | 16.8 |

The fair value estimates for the HG Global Senior Notes, Ark 2007 Subordinated Notes, Ark 2021 Subordinated Notes, Kudu Credit Facility and Other Operations debt have been determined based on a discounted cash flow approach and are considered to be Level 3 measurements.
Note 18. Commitments and Contingencies
Legal Contingencies
White Mountains, and the insurance industry in general, is routinely subject to claims related litigation and arbitration in the normal course of business, as well as litigation and arbitration that do not arise from, nor are directly related to, claims activity. White Mountains’s estimates of the costs of settling matters routinely encountered in claims activity are reflected in the reserves for unpaid loss and LAE. See Note 5 — “Losses and Loss Adjustment Expense Reserves.”
White Mountains considers the requirements of ASC 450 when evaluating its exposure to non-claims related litigation and arbitration. ASC 450 requires that accruals be established for litigation and arbitration if it is probable that a loss has been incurred and it can be reasonably estimated. ASC 450 also requires that litigation and arbitration be disclosed if it is probable that a loss has been incurred or if there is a reasonable possibility that a loss may have been incurred. White Mountains does not have any current non-claims related litigation that may have a material adverse effect on White Mountains’s financial condition, results of operations or cash flows.
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Note 19. Held for Sale and Discontinued Operations
NSM
On August 1, 2022, White Mountains closed the previously announced NSM Transaction. See Note 2 — “Significant Transactions.” As a result of the NSM Transaction, effective as of and for the periods ended June 30, 2022, the assets and liabilities of NSM Group have been presented in the balance sheet as held for sale, and the results of operations for NSM Group have been classified as discontinued operations in the statements of operations and comprehensive income. Prior period amounts have been reclassified to conform to the current period’s presentation.
Sirius Group
On April 18, 2016, White Mountains completed the sale of Sirius International Insurance Group, Ltd. (“Sirius Group”) to CM International Pte. Ltd. and CM Bermuda Limited (collectively “CMI”). In connection with the sale, White Mountains indemnified Sirius Group against the loss of certain interest deductions claimed by Sirius Group related to periods prior to the sale of Sirius Group to CMI that had been disputed by the Swedish Tax Agency. In late October 2018, the Swedish Administrative Court ruled against Sirius Group on its appeal of the Swedish Tax Agency’s denial of these interest deductions. As a result, in 2018 White Mountains recorded a loss of $17.3 million within net gain (loss) on sale of discontinued operations reflecting the value of these interest deductions.
As of December 31, 2020, White Mountains’s liability related to the tax indemnification provided in connection with the sale of Sirius Group in 2016 was $18.7 million. In April 2021, the Swedish Tax Agency informed the Swedish Administrative Court of Appeal that Sirius Group should prevail in its appeal and that the interest deductions should not be disallowed. In June 2021, the Swedish Administrative Court of Appeal ruled in Sirius Group’s favor. For the six months ended June 30, 2021, White Mountains recorded a gain of $17.6 million in discontinued operations to reverse the liability accrued as of December 31, 2020 and $1.1 million gain related to foreign currency translation.
Summary of Reclassified Balances and Related Items
Net Assets Held for Sale
The following summarizes the assets and liabilities associated with NSM Group classified as held for sale. As of December 31, 2021, the amounts presented exclude $16.1 million of insurance licenses, investments and cash classified as assets held for sale related to one of the Other Operating Businesses.

Millions |  | June 30, 2022 |  | December 31, 2021
Assets held for sale |  |  |  |
Short-term investments, at fair value |  | $ | — |  |  | $ | 7.8 |
Cash (restricted $108.9 and $89.2) |  | 142.7 |  |  | 111.6 |
Premiums and commissions receivable |  | 97.8 |  |  | 85.0 |
Goodwill and other intangible assets |  | 698.1 |  |  | 725.4 |
Other assets |  | 59.1 |  |  | 59.2 |
Total assets held for sale |  | $ | 997.7 |  |  | $ | 989.0 |
Liabilities held for sale |  |  |  |
Debt |  | $ | 261.7 |  |  | $ | 272.1 |
Premiums payable |  | 163.4 |  |  | 135.9 |
Contingent consideration |  | — |  |  | 6.8 |
Other liabilities |  | 79.3 |  |  | 80.5 |
Total liabilities held for sale |  | 504.4 |  |  | 495.3 |
Net assets held for sale |  | $ | 493.3 |  |  | $ | 493.7 |

45

Net Income (Loss) from Discontinued Operations
The following summarizes the results of operations, including related income taxes associated with the businesses classified as discontinued operations for the three and six months ended June 30, 2022 and 2021:

|  | Three Months Ended June 30, |  | Six Months Ended June 30,
Millions |  | 2022 |  | 2021 |  | 2022 |  | 2021
Revenues |  |  |  |  |  |  |  |
Commission revenues |  | $ | 80.2 |  |  | $ | 68.0 |  |  | $ | 150.3 |  |  | $ | 127.6 |
Other revenues |  | 22.7 |  |  | 16.3 |  |  | 41.1 |  |  | 31.5 |
Total revenues - NSM Group |  | 102.9 |  |  | 84.3 |  |  | 191.4 |  |  | 159.1 |
Expenses |  |  |  |  |  |  |  |
General and administrative expenses |  | 57.1 |  |  | 47.7 |  |  | 111.1 |  |  | 93.5 |
Broker commission expenses |  | 24.1 |  |  | 21.6 |  |  | 44.7 |  |  | 40.5 |
Change in fair value of contingent consideration |  | — |  |  | — |  |  | .1 |  |  | .2 |
Amortization of other intangible assets |  | — |  |  | 8.2 |  |  | 9.1 |  |  | 16.8 |
Loss on assets held for sale |  | — |  |  | — |  |  | — |  |  | 28.7 |
Interest expense |  | 8.4 |  |  | 5.9 |  |  | 10.5 |  |  | 11.8 |
Total expenses - NSM Group |  | 89.6 |  |  | 83.4 |  |  | 175.5 |  |  | 191.5 |
Pre-tax income (loss) from NSM Group discontinued operations |  | 13.3 |  |  | .9 |  |  | 15.9 |  |  | (32.4) |
Income tax (expense) benefit |  | (6.9) |  |  | .2 |  |  | (5.8) |  |  | 3.3 |
Net income (loss) income from NSM Group discontinued operations |  | 6.4 |  |  | 1.1 |  |  | 10.1 |  |  | (29.1) |
Gain (loss) from sale of Sirius Group, net of tax |  | — |  |  | — |  |  | — |  |  | 18.7 |
Total income (loss) from discontinued operations, net of tax |  | 6.4 |  |  | 1.1 |  |  | 10.1 |  |  | (10.4) |
Net (income) loss from discontinued operations attributable to non-controlling interests |  | (.5) |  |  | — |  |  | (.6) |  |  | 1.1 |
Total income (loss) from discontinued operations attributable to White Mountains’s common shareholders |  | 5.9 |  |  | 1.1 |  |  | 9.5 |  |  | (9.3) |
Other comprehensive income (loss) from NSM discontinued operations, net of tax |  | (4.0) |  |  | .5 |  |  | (5.9) |  |  | 2.6 |
Comprehensive income (loss) from discontinued operations |  | 1.9 |  |  | 1.6 |  |  | 3.6 |  |  | (6.7) |
Other comprehensive income (loss) from NSM discontinued operations attributable to non-controlling interests |  | .2 |  |  | — |  |  | .3 |  |  | (.1) |
Comprehensive income (loss) from discontinued operations attributable to White Mountains’s common shareholders |  | $ | 2.1 |  |  | $ | 1.6 |  |  | $ | 3.9 |  |  | $ | (6.8) |

Net Change in Cash from Discontinued Operations
The following summarizes the net change in cash associated with the businesses classified as discontinued operations for the six months ended June 30, 2022 and 2021:

|  | Six Months Ended June 30,
Millions |  | 2022 |  | 2021
Net cash provided from (used for) operations |  | $ | 36.7 |  |  | $ | 42.4 |
Net cash provided from (used for) investing activities |  | 7.1 |  |  | (2.6) |
Net cash used from (used for) financing activities |  | (16.9) |  |  | (11.2) |
Effect of exchange rate changes on cash |  | 4.2 |  |  | (.4) |
Net change in cash during the period |  | 31.1 |  |  | 28.2 |
Cash balances at beginning of period (includes restricted cash of $89.2 and $78.4) |  | 111.6 |  |  | 126.6 |
Cash balances at end of period (includes restricted cash of $108.9 and $90.3) |  | 142.7 |  |  | 154.8 |
Supplemental cash flows information: |  |  |  |
Interest paid |  | $ | 10.4 |  |  | $ | 11.1 |
Net income tax payments |  | $ | — |  |  | $ | — |

46

Earnings Per Share from Discontinued Operations
White Mountains calculates earnings per share using the two-class method, which allocates earnings between common and unvested restricted common shares. Both classes of shares participate equally in earnings on a per share basis. Basic earnings per share amounts are based on the weighted average number of common shares outstanding adjusted for unvested restricted common shares. Diluted earnings per share amounts are also impacted by the net effect of potentially dilutive common shares outstanding. The following table presents the Company’s computation of earnings per share for discontinued operations for the three and six months ended June 30, 2022 and 2021:

|  | Three Months Ended |  | Six Months Ended
|  | June 30, |  | June 30,
|  | 2022 |  | 2021 |  | 2022 |  | 2021
Basic and diluted earnings per share numerators (in millions): |  |  |  |  |  |  |  |
Net income (loss) attributable to White Mountains’s common shareholders |  | $ | (169.2) |  |  | $ | 138.5 |  |  | $ | (135.8) |  |  | $ | 63.2 |
Less: net income (loss) from continuing operations |  | $ | (216.6) |  |  | $ | 131.4 |  |  | $ | (228.7) |  |  | $ | 32.4 |
Less: net (income) loss from continuing operations attributable to non-controlling interests |  | $ | 41.5 |  |  | $ | 6.0 |  |  | $ | 83.4 |  |  | $ | 40.1 |
Total gain (loss) from discontinued operations attributable to White Mountains’s common shareholders (1) |  | $ | 5.9 |  |  | $ | 1.1 |  |  | $ | 9.5 |  |  | $ | (9.3) |
Allocation of earnings to participating restricted common shares (2) |  | (.1) |  |  | — |  |  | (.1) |  |  | .1 |
Basic and diluted earnings per share numerators (3) |  | $ | 5.8 |  |  | $ | 1.1 |  |  | $ | 9.4 |  |  | $ | (9.2) |
Basic earnings per share denominators (in thousands): |  |  |  |  |  |  |  |
Total average common shares outstanding during the period |  | 2,979.0 |  |  | 3,107.8 |  |  | 2,992.5 |  |  | 3,104.0 |
Average unvested restricted common shares (4) |  | (38.3) |  |  | (37.8) |  |  | (33.9) |  |  | (35.1) |
Basic earnings per share denominator |  | 2,940.7 |  |  | 3,070.0 |  |  | 2,958.6 |  |  | 3,068.9 |
Diluted earnings per share denominator (in thousands): |  |  |  |  |  |  |  |
Total average common shares outstanding during the period |  | 2,979.0 |  |  | 3,107.8 |  |  | 2,992.5 |  |  | 3,104.0 |
Average unvested restricted common shares (4) |  | (38.3) |  |  | (37.8) |  |  | (33.9) |  |  | (35.1) |
Diluted earnings per share denominator |  | 2,940.7 |  |  | 3,070.0 |  |  | 2,958.6 |  |  | 3,068.9 |
Basic and diluted earnings (losses) per share (in dollars) - discontinued operations: |  | $ | 1.98 |  |  | $ | .35 |  |  | $ | 3.17 |  |  | $ | (3.00) |

(1) Includes net gain (loss) from sale of Sirius Group, net of tax, net income (loss) from NSM Group discontinued operations, net of tax and net (income) loss from discontinued operations attributable to non-controlling interests.
(2) Restricted shares issued by White Mountains receive dividends and are therefore considered participating securities.
(3) Net earnings attributable to White Mountains’s common shareholders, net of restricted share amounts, is equal to undistributed earnings for the three and six months ended June 30, 2022 and 2021.
(4) Restricted shares outstanding vest upon a stated date. See Note 12 — “Employee Share-Based Incentive Compensation Plans.”
Note 20. Subsequent Event
On August 1, 2022, White Mountains closed the previously announced sale of NSM Group. See Note 2 — “Significant Transactions.”
47

Item 2. Management’s Discussion and Analysis of Financial Condition and Results of Operations.
The following discussion contains “forward-looking statements.” White Mountains intends statements that are not historical in nature, which are hereby identified as forward-looking statements, to be covered by the safe harbor provisions of the Private Securities Litigation Reform Act of 1995. White Mountains cannot promise that its expectations in such forward-looking statements will turn out to be correct. White Mountains’s actual results could be materially different from and worse than its expectations. See “FORWARD-LOOKING STATEMENTS” on page 78 for specific important factors that could cause actual results to differ materially from those contained in forward-looking statements.
The following discussion also includes twelve non-GAAP financial measures: (i) adjusted book value per share, (ii) BAM’s gross written premiums and member surplus contributions (“MSC”) from new business, (iii) Ark’s adjusted loss and LAE ratio, (iv) Ark’s adjusted insurance acquisition expense ratio, (v) Ark’s adjusted other underwriting expense ratio, (vi) Ark’s adjusted combined ratio (vii) Kudu’s earnings before interest, taxes, depreciation and amortization (“EBITDA”), (viii) Kudu’s adjusted EBITDA, (ix) total consolidated portfolio returns excluding MediaAlpha, (x) NSM’s EBITDA, (xi) NSM’s adjusted EBITDA and (xii) adjusted capital, that have been reconciled from their most comparable GAAP financial measures on page 75. White Mountains believes these measures to be useful in evaluating White Mountains’s financial performance and condition.
RESULTS OF OPERATIONS FOR THE THREE AND SIX MONTHS ENDED JUNE 30, 2022 AND 2021
Overview
White Mountains reported book value per share of $1,129 and adjusted book value per share of $1,152 as of June 30, 2022. Book value per share decreased 5% and adjusted book value per share decreased 4% in the second quarter of 2022. For the first six months of 2022, book value decreased 4% and adjusted book value decreased 3%, including dividends. Results were driven primarily by mark-to-market losses in White Mountains’s fixed income investment portfolio and the decline in MediaAlpha’s share price, partially offset by positive operating results within our consolidated businesses. White Mountains reported book value per share of $1,279 and adjusted book value per share of $1,292 as of June 30, 2021. Book value per share and adjusted book value per share both increased 4% in the second quarter of 2021 and 2% in the first six months of 2021, including dividends. Results in the second quarter of 2021 were driven by positive operating results within our consolidated businesses as well as the increase in MediaAlpha’s share price.
On August 1, 2022, White Mountains closed the previously announced sale of NSM Group for cash to an affiliate of The Carlyle Group, Inc. (the “NSM Transaction”). The NSM Transaction valued NSM Group at an enterprise value of $1.775 billion. Including the estimated net gain of approximately $300 per share from the NSM Transaction, book value per share would be $1,429 and adjusted book value per share would be $1,452 as of June 30, 2022. The estimated net gain per share from the NSM Transaction increased by approximately $20 to $300 per share, due primarily to: (i) positive operating results at NSM in the pre-closing period, (ii) recording of certain compensation and other costs in connection with the transaction in White Mountains’s second quarter financial statements and (iii) the impact of share repurchases decreasing the number of shares outstanding. Beginning in the second quarter of 2022, NSM Group’s results have been presented as discontinued operations.
In the HG Global/BAM segment, gross written premiums and MSC collected totaled $41 million and $63 million in the second quarter and first six months of 2022 compared to $30 million and $56 million in the second quarter and first six months of 2021. Total pricing was 70 and 67 basis points in the second quarter and first six months of 2022 compared to 59 and 65 basis points in the second quarter and first six months of 2021. BAM insured municipal bonds with par value of $5.9 billion and $9.3 billion in the second quarter and first six months of 2022 compared to $5.1 billion and $8.7 billion in the second quarter and first six months of 2021, which included $806 million from an assumed reinsurance transaction. BAM’s total claims paying resources were $1,228 million as of June 30, 2022 compared to $1,192 million as of December 31, 2021 and $1,165 million as of June 30, 2021. On April 29, 2022, HG Global received the proceeds of its new $150 million, 10-year term loan credit facility. In turn, on May 2, 2022, HG Global paid a $120 million cash dividend to shareholders, of which $116 million was paid to White Mountains.
48

Ark reported a GAAP combined ratio of 87% and 93% in the second quarter and first six months of 2022 compared to 90% and 99% in the second quarter and first six months of 2021. Ark’s adjusted combined ratio, which adds back amounts attributable to TPC providers, was 86% and 93% in the second quarter and first six months of 2022 compared to 84% and 96% in the second quarter and first six months of 2021. The adjusted combined ratio in the second quarter and first six months of 2022 included 11 points and 14 points of catastrophe losses compared to six points and 12 points in the second quarter and first six months of 2021. Catastrophe losses for the second quarter and first six months of 2022 included an estimate of incurred losses emanating from the ongoing conflict in Ukraine of seven points and nine points. The adjusted combined ratio in the second quarter and first six months of 2022 also included 12 points and seven points of favorable prior year development compared to 10 points and five points in the second quarter and first six months of 2021. Ark reported gross written premiums of $404 million and $1,037 million, net written premiums of $270 million and $814 million and net earned premiums of $217 million and $412 million in the second quarter and first six months of 2022 compared to gross written premiums of $328 million and $733 million, net written premiums of $262 million and $605 million and net earned premiums of $118 million and $222 million in the second quarter and first six months of 2021. Ark reported pre-tax income (loss) of $(21) million and $(45) million in the second quarter and first six months of 2022 compared to $18 million and $(15) million in the second quarter and first six months of 2021. Ark’s results included net realized and unrealized investment gains (losses) of $(45) million and $(62) million in the second quarter and first six months of 2022 compared to $9 million and $10 million in the second quarter and first six months of 2021. Ark’s pre-tax loss for the first six months of 2021 also included $25 million of transaction expenses related to White Mountains’s transaction with Ark.
Kudu reported total revenue of $(4) million, pre-tax loss of $10 million and adjusted EBITDA of $11 million in the second quarter of 2022 compared to total revenue of $36 million, pre-tax income of $31 million and adjusted EBITDA of $5 million in the second quarter of 2021. Total revenues and pre-tax income in the second quarter of 2022 included $18 million of net unrealized investment losses on Kudu’s participation contracts compared to $28 million of net unrealized investment gains on Kudu’s participation contracts in the second quarter of 2021. Kudu reported total revenue of $31 million, pre-tax income of $19 million and adjusted EBITDA of $21 million in the first six months of 2022 compared to total revenue of $60 million, pre-tax income of $47 million and adjusted EBITDA of $11 million in the first six months of 2021. Total revenues and pre-tax income in the first six months of 2022 included $5 million of net unrealized investment gains on Kudu’s participation contracts compared to $44 million of net unrealized investment gains on Kudu’s participation contracts in the first six months of 2021.
As of June 30, 2022, the market value of White Mountains’s investment in MediaAlpha was $167 million, which was down from $280 million as of March 31, 2022. As of June 30, 2022, the closing price was $9.85 per share, which decreased from $16.55 at March 31, 2022. Based on White Mountains’s ownership of 16.9 million shares of MediaAlpha as of June 30, 2022, each $1.00 per share increase or decrease in the stock price of MediaAlpha will result in an approximate $5.80 per share increase or decrease in White Mountains’s book value per share and adjusted book value per share.
White Mountains’s pre-tax total consolidated portfolio return on invested assets was -4.7% in the second quarter of 2022. This return included $114 million of unrealized investment losses from White Mountains’s investment in MediaAlpha. Excluding MediaAlpha, the total consolidated portfolio return on invested assets was -2.1% in the second quarter of 2022.
Excluding MediaAlpha, investment returns in the second quarter of 2022 were driven primarily by net unrealized investment losses in the fixed income portfolio due to rising interest rates. White Mountains’s pre-tax total consolidated portfolio return on invested assets was 5.0% in the second quarter of 2021. This return included $113 million of unrealized investment gains from White Mountains’s investment in MediaAlpha. Excluding MediaAlpha, the total consolidated portfolio return on invested assets was 2.4% in the second quarter of 2021. Excluding MediaAlpha, investment returns in the second quarter of 2021 were driven primarily by favorable other long-term investments results and the impact of the flattening yield curve on White Mountains’s short duration fixed income portfolio.
White Mountains’s pre-tax total consolidated portfolio return on invested assets was -4.0% in the first six months of 2022. This return included $95 million of unrealized investment losses from White Mountains’s investment in MediaAlpha. Excluding MediaAlpha, the total consolidated portfolio return on invested assets was -1.9% in the first six months of 2022. Excluding MediaAlpha, investment returns in the first six months of 2022 were driven primarily by net unrealized investment losses in the fixed income portfolio due to rising interest rates, partially offset by favorable other long-term investment results. White Mountains’s pre-tax total consolidated portfolio return on invested assets was 4.7% in the first six months of 2021. This return included $71 million of net realized and unrealized investment gains from White Mountains’s investment in MediaAlpha. Excluding MediaAlpha, the total consolidated portfolio return on invested assets was 3.1% in the first six months of 2021. Excluding MediaAlpha, investment returns in the first six months of 2021 were driven primarily by favorable other long-term investment results.
Within the results from discontinued operations, NSM reported commission and other revenues of $103 million, pre-tax income of $13 million and adjusted EBITDA of $29 million in the second quarter of 2022 compared to commission and other revenues of $84 million, pre-tax income of $1 million and adjusted EBITDA of $19 million in the second quarter of 2021. NSM reported commission and other revenues of $191 million, pre-tax income of $16 million and adjusted EBITDA of $47 million in the first six months of 2022 compared to commission and other revenues of $159 million, pre-tax loss of $32 million and adjusted EBITDA of $33 million in the first six months of 2021.
49

Adjusted Book Value Per Share
The following table presents White Mountains’s book value per share and reconciles it to adjusted book value per share, a non-GAAP measure as of June 30, 2022, March 31, 2022, December 31, 2021, and June 30, 2021. See NON-GAAP FINANCIAL MEASURES on page 75.

|  | June 30, 2022 |  | March 31, 2022 |  | December 31, 2021 |  | June 30, 2021
Book value per share numerators (in millions): |  |  |  |  |  |  |  |
White Mountains’s common shareholders’ equity - GAAP book value per share numerator |  | $ | 3,323.3 |  |  | $ | 3,542.1 |  |  | $ | 3,548.1 |  |  | $ | 3,978.2 |
Time value of money discount on expected future payments on the BAM Surplus Notes (1) |  | (115.9) |  |  | (120.9) |  |  | (125.9) |  |  | (132.8) |
HG Global’s unearned premium reserve (1) |  | 221.6 |  |  | 215.8 |  |  | 214.6 |  |  | 201.5 |
HG Global’s net deferred acquisition costs (1) |  | (62.6) |  |  | (60.6) |  |  | (60.8) |  |  | (56.3) |
Adjusted book value per share numerator |  | $ | 3,366.4 |  |  | $ | 3,576.4 |  |  | $ | 3,576.0 |  |  | $ | 3,990.6 |
Book value per share denominators (in thousands of shares): |  |  |  |  |  |
Common shares outstanding - GAAP book value per share denominator |  | 2,942.9 |  |  | 2,994.2 |  |  | 3,017.8 |  |  | 3,109.2 |
Unearned restricted common shares |  | (20.9) |  |  | (24.2) |  |  | (13.7) |  |  | (20.6) |
Adjusted book value per share denominator |  | 2,922.0 |  |  | 2,970.0 |  |  | 3,004.1 |  |  | 3,088.6 |
GAAP book value per share |  | $ | 1,129.27 |  |  | $ | 1,183.00 |  |  | $ | 1,175.73 |  |  | $ | 1,279.49 |
Adjusted book value per share |  | $ | 1,152.12 |  |  | $ | 1,204.17 |  |  | $ | 1,190.39 |  |  | $ | 1,292.03 |
Year-to-date dividends paid per share |  | $ | 1.00 |  |  | $ | 1.00 |  |  | $ | 1.00 |  |  | $ | 1.00 |

(1) Amount reflects White Mountains’s preferred share ownership in HG Global of 96.9%.
Goodwill and Other Intangible Assets
The following table presents a summary of goodwill and other intangible assets that are included in White Mountains’s book value as of June 30, 2022, March 31, 2022, December 31, 2021, and June 30, 2021:

Millions |  | June 30, 2022 |  | March 31, 2022 |  |  |  | December 31, 2021 |  | June 30, 2021 |
Goodwill: |  |  |  |  |  |  |  |  |  |  |
Ark |  | $ | 116.8 |  |  | $ | 116.8 |  |  |  |  | $ | 116.8 |  |  | $ | 116.8 |  |
Kudu |  | 7.6 |  |  | 7.6 |  |  |  |  | 7.6 |  |  | 7.6 |  |
Other Operations (1) |  | 77.4 |  |  | 17.9 |  |  |  |  | 17.9 |  |  | 27.1 |  |
Total goodwill |  | 201.8 |  |  | 142.3 |  |  |  |  | 142.3 |  |  | 151.5 |  |
Other intangible assets: |  |  |  |  |  |  |  |  |  |  |
Ark |  | 175.7 |  |  | 175.7 |  |  |  |  | 175.7 |  |  | 175.7 |  |
Kudu |  | 1.1 |  |  | 1.3 |  |  |  |  | 1.3 |  |  | 1.5 |  |
Other Operations (1) |  | 19.4 |  |  | 20.2 |  |  |  |  | 21.2 |  |  | 23.9 |  |
Total other intangible assets |  | 196.2 |  |  | 197.2 |  |  |  |  | 198.2 |  |  | 201.1 |  |
Total goodwill and other intangible assets (2) |  | 398.0 |  |  | 339.5 |  |  |  |  | 340.5 |  |  | 352.6 |  |
Goodwill and other intangible assets attributed to non-controlling interests |  | (103.4) |  |  | (91.8) |  |  |  |  | (91.8) |  |  | (92.4) |  |
Goodwill and other intangible assets included in White Mountains’s common shareholders’ equity |  | $ | 294.6 |  |  | $ | 247.7 |  |  |  |  | $ | 248.7 |  |  | $ | 260.2 |  |

(1) The relative fair values of goodwill and other intangible assets recognized in connection with recent acquisitions within Other Operations had not yet been finalized at June 30, 2022 and 2021.
(2) See Note 4 — “Goodwill and Other Intangible Assets” for details of goodwill and other intangible assets.
50

Summary of Consolidated Results
The following table presents White Mountains’s consolidated financial results for the three and six months ended June 30, 2022 and 2021:

|  | Three Months Ended |  | Six Months Ended |
|  | June 30, |  | June 30, |
Millions |  | 2022 |  | 2021 |  | 2022 |  | 2021 |
Revenues |  |  |  |  |  |  |  |  |
Financial Guarantee revenues |  | $ | (13.2) |  |  | $ | 17.4 |  |  | $ | (44.5) |  |  | $ | 10.7 |  |
P&C Insurance and Reinsurance revenues |  | 182.2 |  |  | 130.5 |  |  | 357.9 |  |  | 239.6 |  |
Asset Management revenues |  | (3.8) |  |  | 36.2 |  |  | 31.1 |  |  | 60.3 |  |
Other Operations revenues |  | (88.5) |  |  | 158.3 |  |  | (7.4) |  |  | 135.2 |  |
Total revenues |  | 76.7 |  |  | 342.4 |  |  | 337.1 |  |  | 445.8 |  |
Expenses |  |  |  |  |  |  |  |  |
Financial Guarantee expenses |  | 25.6 |  |  | 15.5 |  |  | 44.9 |  |  | 33.8 |  |
P&C Insurance and Reinsurance expenses |  | 203.6 |  |  | 112.7 |  |  | 402.4 |  |  | 254.3 |  |
Asset Management expenses |  | 6.4 |  |  | 4.8 |  |  | 12.0 |  |  | 13.2 |  |
Other Operations expenses |  | 73.7 |  |  | 48.0 |  |  | 125.2 |  |  | 88.5 |  |
Total expenses |  | 309.3 |  |  | 181.0 |  |  | 584.5 |  |  | 389.8 |  |
Pre-tax income (loss) |  |  |  |  |  |  |  |  |
Financial Guarantee pre-tax income (loss) |  | (38.8) |  |  | 1.9 |  |  | (89.4) |  |  | (23.1) |  |
P&C Insurance and Reinsurance pre-tax income (loss) |  | (21.4) |  |  | 17.8 |  |  | (44.5) |  |  | (14.7) |  |
Asset Management pre-tax income (loss) |  | (10.2) |  |  | 31.4 |  |  | 19.1 |  |  | 47.1 |  |
Other Operations pre-tax income (loss) |  | (162.2) |  |  | 110.3 |  |  | (132.6) |  |  | 46.7 |  |
Total pre-tax income (loss) from continuing operations |  | (232.6) |  |  | 161.4 |  |  | (247.4) |  |  | 56.0 |  |
Income tax (expense) benefit |  | 16.0 |  |  | (30.0) |  |  | 18.7 |  |  | (23.6) |  |
Net income (loss) from continuing operations |  | (216.6) |  |  | 131.4 |  |  | (228.7) |  |  | 32.4 |  |
Gain (loss) on sale of Sirius Group, net of tax |  | — |  |  | — |  |  | — |  |  | 18.7 |  |
Net income (loss) from NSM Group discontinued operations, net of tax |  | 6.4 |  |  | 1.1 |  |  | 10.1 |  |  | (29.1) |  |
Net income (loss) |  | (210.2) |  |  | 132.5 |  |  | (218.6) |  |  | 22.0 |  |
Net (income) loss attributable to non-controlling interests |  | 41.0 |  |  | 6.0 |  |  | 82.8 |  |  | 41.2 |  |
Net income (loss) attributable to White Mountains’s common shareholders |  | (169.2) |  |  | 138.5 |  |  | (135.8) |  |  | 63.2 |  |
Other comprehensive income (loss), net of tax |  | (1.1) |  |  | .5 |  |  | (1.5) |  |  | .2 |  |
Other comprehensive income (loss) from NSM Group discontinued operations, net of tax |  | (4.0) |  |  | .5 |  |  | (5.9) |  |  | 2.6 |  |
Comprehensive income (loss) |  | (174.3) |  |  | 139.5 |  |  | (143.2) |  |  | 66.0 |  |
Other comprehensive (income) loss attributable to non-controlling interests |  | .5 |  |  | (.1) |  |  | .7 |  |  | (.2) |  |
Comprehensive income (loss) attributable to White Mountains’s common shareholders |  | $ | (173.8) |  |  | $ | 139.4 |  |  | $ | (142.5) |  |  | $ | 65.8 |  |

51

I. Summary of Operations By Segment
As of June 30, 2022, White Mountains conducted its operations through four segments: (1) HG Global/BAM, (2) Ark, (3) Kudu and (4) Other Operations. A discussion of White Mountains’s consolidated investment operations is included after the discussion of operations by segment. White Mountains’s segment information is presented in Note 15 — “Segment Information” to the Consolidated Financial Statements.
As a result of the NSM Transaction, the results of operations for NSM Group have been classified as discontinued operations and are presented separately, net of related income taxes, in the statement of comprehensive income. Prior year amounts have been reclassified to conform to the current period’s presentation. See Note 19 — “Held for Sale and Discontinued Operations.”
HG Global/BAM
HG Global/BAM consists of the consolidated results of HG Global, HG Re and BAM. BAM is the first and only mutual municipal bond insurance company in the United States. By insuring the timely payment of principal and interest, BAM provides market access to, and lowers interest expense for, issuers of municipal bonds used to finance essential public purpose projects, such as schools, utilities and transportation facilities. BAM is owned by and operated for the benefit of its members, the municipalities that purchase BAM’s insurance for their debt issuances. HG Global was established to fund the startup of BAM and, through HG Re, to provide up to 15%-of-par, first loss reinsurance protection for policies underwritten by BAM.
The following tables present the components of pre-tax income (loss) included in White Mountains’s HG Global/BAM segment related to the consolidation of HG Global, which includes HG Re and its other wholly-owned subsidiaries, and BAM for the three and six months ended June 30, 2022 and 2021:

|  | Three Months Ended June 30, 2022
Millions |  | HG Global |  | BAM |  | Eliminations |  | Total
Direct written premiums |  | $ | — |  |  | $ | 17.1 |  |  | $ | — |  |  | $ | 17.1 |
Assumed written premiums |  | 14.7 |  |  | — |  |  | (14.7) |  |  | — |
Gross written premiums |  | 14.7 |  |  | 17.1 |  |  | (14.7) |  |  | 17.1 |
Ceded written premiums |  | — |  |  | (14.7) |  |  | 14.7 |  |  | — |
Net written premiums |  | $ | 14.7 |  |  | $ | 2.4 |  |  | $ | — |  |  | $ | 17.1 |
Earned insurance premiums |  | $ | 8.7 |  |  | $ | 1.8 |  |  | $ | — |  |  | $ | 10.5 |
Net investment income |  | 2.2 |  |  | 2.6 |  |  | — |  |  | 4.8 |
Net investment income - BAM Surplus Notes |  | 3.0 |  |  | — |  |  | (3.0) |  |  | — |
Net realized and unrealized investment gains (losses) |  | (14.7) |  |  | (15.4) |  |  | — |  |  | (30.1) |
Other revenues |  | .1 |  |  | 1.5 |  |  | — |  |  | 1.6 |
Total revenues |  | (0.7) |  |  | (9.5) |  |  | (3.0) |  |  | (13.2) |
Insurance acquisition expenses |  | 3.4 |  |  | 1.4 |  |  | — |  |  | 4.8 |
General and administrative expenses |  | .8 |  |  | 16.6 |  |  | — |  |  | 17.4 |
Interest expense - HG Global Senior Notes |  | 3.4 |  |  | — |  |  | — |  |  | 3.4 |
Interest expense - BAM Surplus Notes |  | — |  |  | 3.0 |  |  | (3.0) |  |  | — |
Total expenses |  | 7.6 |  |  | 21.0 |  |  | (3.0) |  |  | 25.6 |
Pre-tax income (loss) |  | $ | (8.3) |  |  | $ | (30.5) |  |  | $ | — |  |  | $ | (38.8) |
Supplemental information: |  |  |  |  |  |  |  |
MSC collected (1) |  | $ | — |  |  | $ | 24.0 |  |  | $ | — |  |  | $ | 24.0 |

(1) MSC collected are recorded directly to BAM’s equity, which is recorded as non-controlling interest on White Mountains’s balance sheet.
52

|  | Three Months Ended June 30, 2021
Millions |  | HG Global |  | BAM |  | Eliminations |  | Total
Direct written premiums |  | $ | — |  |  | $ | 13.8 |  |  | $ | — |  |  | $ | 13.8 |
Assumed written premiums |  | 11.8 |  |  | — |  |  | (11.8) |  |  | — |
Gross written premiums |  | 11.8 |  |  | 13.8 |  |  | (11.8) |  |  | 13.8 |
Ceded written premiums |  | — |  |  | (11.8) |  |  | 11.8 |  |  | — |
Net written premiums |  | $ | 11.8 |  |  | $ | 2.0 |  |  | $ | — |  |  | $ | 13.8 |
Earned insurance premiums |  | $ | 5.3 |  |  | $ | 1.2 |  |  | $ | — |  |  | $ | 6.5 |
Net investment income |  | 1.7 |  |  | 2.6 |  |  | — |  |  | 4.3 |
Net investment income - BAM Surplus Notes |  | 3.0 |  |  | — |  |  | (3.0) |  |  | — |
Net realized and unrealized investment gains |  | 2.4 |  |  | 3.9 |  |  | — |  |  | 6.3 |
Other revenues |  | .1 |  |  | .2 |  |  | — |  |  | .3 |
Total revenues |  | 12.5 |  |  | 7.9 |  |  | (3.0) |  |  | 17.4 |
Insurance acquisition expenses |  | 1.3 |  |  | .3 |  |  | — |  |  | 1.6 |
General and administrative expenses |  | .5 |  |  | 13.4 |  |  | — |  |  | 13.9 |
Interest expense - BAM Surplus Notes |  | — |  |  | 3.0 |  |  | (3.0) |  |  | — |
Total expenses |  | 1.8 |  |  | 16.7 |  |  | (3.0) |  |  | 15.5 |
Pre-tax income (loss) |  | $ | 10.7 |  |  | $ | (8.8) |  |  | $ | — |  |  | $ | 1.9 |
Supplemental information: |  |  |  |  |  |  |  |
MSC collected (1) |  | $ | — |  |  | $ | 16.3 |  |  | $ | — |  |  | $ | 16.3 |

(1) MSC collected are recorded directly to BAM’s equity, which is recorded as non-controlling interest on White Mountains’s balance sheet.

|  | Six Months Ended June 30, 2022
Millions |  | HG Global |  | BAM |  | Eliminations |  | Total
Direct written premiums |  | $ | — |  |  | $ | 26.5 |  |  | $ | — |  |  | $ | 26.5 |
Assumed written premiums |  | 22.8 |  |  | — |  |  | (22.8) |  |  | — |
Gross written premiums |  | 22.8 |  |  | 26.5 |  |  | (22.8) |  |  | 26.5 |
Ceded written premiums |  | — |  |  | (22.8) |  |  | 22.8 |  |  | — |
Net written premiums |  | $ | 22.8 |  |  | $ | 3.7 |  |  | $ | — |  |  | $ | 26.5 |
Earned insurance premiums |  | $ | 15.6 |  |  | $ | 3.3 |  |  | $ | — |  |  | $ | 18.9 |
Net investment income |  | 4.3 |  |  | 5.1 |  |  | — |  |  | 9.4 |
Net investment income - BAM Surplus Notes |  | 5.9 |  |  | — |  |  | (5.9) |  |  | — |
Net realized and unrealized investment gains (losses) |  | (38.2) |  |  | (37.0) |  |  | — |  |  | (75.2) |
Other revenues |  | .2 |  |  | 2.2 |  |  | — |  |  | 2.4 |
Total revenues |  | (12.2) |  |  | (26.4) |  |  | (5.9) |  |  | (44.5) |
Insurance acquisition expenses |  | 6.0 |  |  | 1.8 |  |  | — |  |  | 7.8 |
General and administrative expenses |  | 1.5 |  |  | 32.2 |  |  | — |  |  | 33.7 |
Interest expense - HG Global Senior Notes |  | 3.4 |  |  | — |  |  | — |  |  | 3.4 |
Interest expense - BAM Surplus Notes |  | — |  |  | 5.9 |  |  | (5.9) |  |  | — |
Total expenses |  | 10.9 |  |  | 39.9 |  |  | (5.9) |  |  | 44.9 |
Pre-tax income (loss) |  | $ | (23.1) |  |  | $ | (66.3) |  |  | $ | — |  |  | $ | (89.4) |
Supplemental information: |  |  |  |  |  |  |  |
MSC collected (1) |  | $ | — |  |  | $ | 36.3 |  |  | $ | — |  |  | $ | 36.3 |

(1) MSC collected are recorded directly to BAM’s equity, which is recorded as non-controlling interest on White Mountains’s balance sheet.
53

|  | Six Months Ended June 30, 2021
Millions |  | HG Global |  | BAM |  | Eliminations |  | Total
Direct written premiums |  | $ | — |  |  | $ | 21.8 |  |  | $ | — |  |  | $ | 21.8 |
Assumed written premiums |  | 22.5 |  |  | 4.5 |  |  | (22.5) |  |  | 4.5 |
Gross written premiums |  | 22.5 |  |  | 26.3 |  |  | (22.5) |  |  | 26.3 |
Ceded written premiums |  | — |  |  | (22.5) |  |  | 22.5 |  |  | — |
Net written premiums |  | $ | 22.5 |  |  | $ | 3.8 |  |  | $ | — |  |  | $ | 26.3 |
Earned insurance premiums |  | $ | 10.6 |  |  | $ | 2.3 |  |  | $ | — |  |  | $ | 12.9 |
Net investment income |  | 3.5 |  |  | 5.3 |  |  | — |  |  | 8.8 |
Net investment income - BAM Surplus Notes |  | 6.0 |  |  | — |  |  | (6.0) |  |  | — |
Net realized and unrealized investment losses |  | (7.5) |  |  | (4.1) |  |  | — |  |  | (11.6) |
Other revenues |  | .2 |  |  | .4 |  |  | — |  |  | .6 |
Total revenues |  | 12.8 |  |  | 3.9 |  |  | (6.0) |  |  | 10.7 |
Insurance acquisition expenses |  | 2.8 |  |  | .7 |  |  | — |  |  | 3.5 |
General and administrative expenses |  | 1.1 |  |  | 29.2 |  |  | — |  |  | 30.3 |
Interest expense - BAM Surplus Notes |  | — |  |  | 6.0 |  |  | (6.0) |  |  | — |
Total expenses |  | 3.9 |  |  | 35.9 |  |  | (6.0) |  |  | 33.8 |
Pre-tax income (loss) |  | $ | 8.9 |  |  | $ | (32.0) |  |  | $ | — |  |  | $ | (23.1) |
Supplemental information: |  |  |  |  |  |  |  |
MSC collected (1) |  | $ | — |  |  | 30.1 |  |  | $ | — |  |  | $ | 30.1 |

(1) MSC are recorded directly to BAM’s equity, which is recorded as non-controlling interest on White Mountains’s balance sheet.
HG Global/BAM Results—Three Months Ended June 30, 2022 versus Three Months Ended June 30, 2021
BAM is required to prepare its financial statements on a statutory accounting basis for the NYDFS and does not report stand-alone GAAP financial results. BAM charges an insurance premium on each municipal bond insurance policy it writes. A portion of the premium is MSC and the remainder is a risk premium. In the event of a municipal bond refunding, a portion of the MSC from original issuance can be reutilized, in effect serving as a credit against the total insurance premium on the refunding of the municipal bond.
Gross written premiums and MSC collected in the HG Global/BAM segment totaled $41 million in the second quarter of 2022 compared to $30 million in the second quarter of 2021. BAM insured $5.9 billion of municipal bonds, $4.1 billion of which were in the primary market, in the second quarter of 2022 compared to $5.1 billion of municipal bonds, $4.8 billion of which were in the primary market, in the second quarter of 2021. Demand remained strong for insured bonds in the primary market, as insured penetration in the primary market was 9.1% in the second quarter of 2022 compared to 9.0% in the second quarter of 2021.
Total pricing, which reflects both gross written premiums and MSC from new business, increased to 70 basis points in the second quarter of 2022 compared to 59 basis points in the second quarter of 2021. See “NON-GAAP FINANCIAL MEASURES” on page 75. The increase in total pricing was driven primarily by increased secondary market activity in the second quarter of 2022 compared to the second quarter of 2021. Pricing in the primary market decreased to 49 basis points in the second quarter of 2022 compared to 51 basis points in the second quarter of 2021. Pricing in the combined secondary and assumed reinsurance markets, which is more transaction specific than pricing in the primary market, decreased to 121 basis points in the second quarter of 2022 compared to 175 basis points in the second quarter of 2021.
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The following table presents the gross par value of primary and secondary market policies issued, the gross par value of assumed reinsurance, the gross written premiums and MSC collected and total pricing for the three months ended June 30, 2022 and 2021:

|  | Three Months Ended June 30,
$ in Millions |  | 2022 |  | 2021
Gross par value of primary market policies issued |  | $ | 4,123.7 |  |  | $ | 4,815.5 |
Gross par value of secondary market policies issued |  | 1,743.8 |  |  | 312.1 |
Gross par value of assumed reinsurance |  | — |  |  | — |
Total gross par value of market policies issued |  | $ | 5,867.5 |  |  | $ | 5,127.6 |
Gross written premiums |  | $ | 17.1 |  |  | $ | 13.7 |
MSC collected |  | 24.0 |  |  | 16.3 |
Total gross written premiums and MSC collected |  | $ | 41.1 |  |  | $ | 30.0 |
Present value of future installment MSC collections |  | — |  |  | — |
Gross written premium adjustments on existing installment policies |  | — |  |  | .1 |
Gross written premiums and MSC from new business (1) |  | $ | 41.1 |  |  | $ | 30.1 |
Total pricing |  | 70 bps |  | 59 bps

(1) See “NON-GAAP FINANCIAL MEASURES” on page 75.
HG Global reported pre-tax income (loss) of $(8) million in the second quarter of 2022 compared to $11 million in the second quarter of 2021. The change in pre-tax income (loss) was driven primarily by net unrealized investment losses on the HG Global fixed income portfolio, as interest rates increased in the second quarter of 2022. Results in the second quarter of 2022 and 2021 both included $3.0 million of interest income on the BAM Surplus Notes.
On April 29, 2022, HG Global received the proceeds of its new $150 million, 10-year term loan credit facility. In turn, on May 2, 2022, HG Global paid a $120 million cash dividend to shareholders, of which $116 million was paid to White Mountains.
BAM is a mutual insurance company that is owned by its members. BAM’s results are consolidated into White Mountains’s GAAP financial statements and attributed to non-controlling interests. White Mou ntains reported $31 million of GAAP pre-tax loss from BAM in the second quarter of 2022 compared to $9 million in the second quarter of 2021. The change in pre-tax loss was driven primarily by net unrealized investment losses on the BAM fixed income portfolio, as interest rates increased in the second quarter of 2022. Results in the second quarter of 2022 include $3 million of interest expense on the BAM Surplus Notes and $16 million of general and administrative expenses, compared to $3 million of interest expense and $13 million of general and administrative expenses in the second quarter of 2021.
All BAM-insured bond payments due through August 1, 2022 have been made by insureds, and there are no credits on BAM’s watchlist.
HG Global/BAM Results—Six Months Ended June 30, 2022 versus Six Months Ended June 30, 2021
Gross written premiums and MSC collected in the HG Global/BAM segment totaled $63 million in the first six months of 2022, compared to $56 million in the first six months of 2021. BAM insured $9.3 billion of municipal bonds, $6.9 billion of which were in the primary market, in the first six months of 2022, compared to $8.7 billion of municipal bonds, $7.4 billion of which were in the primary market, in the first six months of 2021. In the first quarter of 2021, BAM completed an assumed reinsurance transaction to reinsure municipal bonds with a par value of $806 million.
Total pricing, which reflects both gross written premiums and MSC from new business, increased to 67 basis points in the first six months of 2022, compared to 65 basis points in the first six months of 2021. See “NON-GAAP FINANCIAL MEASURES” on page 75. The increase in total pricing was driven primarily by increased secondary market activity in the first six months of 2022 compared to the first six months of 2021. Pricing in the primary market decreased to 47 basis points in the first six months of 2022, compared to 54 basis points in the first six months of 2021. Pricing in the secondary and assumed reinsurance markets, which is more transaction specific than pricing in the primary market, decreased to 124 basis points in the first six months of 2022, compared to 131 basis points in the first six months of 2021.
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The following table presents the gross par value of primary and secondary market policies issued, the gross par value of assumed reinsurance, the gross written premiums and MSC collected and total pricing for the six months ended June 30, 2022 and 2021:

|  | Six Months Ended June 30,
$ in Millions |  | 2022 |  | 2021
Gross par value of primary market policies issued |  | $ | 6,878.8 |  |  | $ | 7,357.5 |
Gross par value of secondary market policies issued |  | 2,442.9 |  |  | 489.2 |
Gross par value of assumed reinsurance |  | — |  |  | 805.5 |
Total gross par value of market policies issued |  | $ | 9,321.7 |  |  | $ | 8,652.2 |
Gross written premiums |  | 26.5 |  |  | 26.2 |
MSC collected |  | 36.3 |  |  | 30.1 |
Total gross written premiums and MSC collected |  | $ | 62.8 |  |  | $ | 56.3 |
Present value of future installment MSC collections |  | — |  |  | — |
Gross written premium adjustments on existing installment policies |  | — |  |  | .1 |
Gross written premiums and MSC from new business |  | $ | 62.8 |  |  | $ | 56.4 |
Total pricing |  | 67 bps |  | 65 bps

HG Global reported pre-tax income (loss) of $(23) million in the first six months of 2022 compared to $9 million in the first six months of 2021. The change in pre-tax income (loss) was driven primarily by net unrealized investment losses on the HG Global fixed income portfolio, as interest rates increased in the first six months of 2022. Results in the first six months of 2022 and 2021 both include $6 million of interest income on the BAM Surplus Notes.
White Mountains reported $66 million of GAAP pre-tax loss from BAM in the first six months of 2022 compared to $32 million in the first six months of 2021. The increase in pre-tax loss was driven primarily by net unrealized investment losses on the BAM fixed income portfolio, as interest rates increased in the first six months of 2022. Results in the first six months of 2022 include $6 million of interest expense on the BAM Surplus Notes and $32 million of general and administrative expenses, compared to $6 million of interest expense and $29 million of general and administrative expenses in the first six months of 2021.
Claims Paying Resources
BAM’s claims paying resources represent the capital and other financial resources BAM has available to pay claims and, as such, is a key indication of BAM’s financial strength.
BAM’s claims paying resources were $1,228 million as of June 30, 2022 compared to $1,192 million as of December 31, 2021 and $1,165 million as of June 30, 2021. The increase in claims paying resources as of June 30, 2022 compared to December 31, 2021 was driven primarily by increases in the statutory value of the collateral trusts resulting from deposits of ceded premiums and an increase in BAM’s qualified statutory capital resulting from business operations for the six months ended June 30, 2022.
The following table presents BAM’s total claims paying resources as of June 30, 2022, December 31, 2021 and June 30, 2021:

Millions |  | June 30, 2022 |  | December 31, 2021 |  | June 30, 2021 |  |
Policyholders’ surplus |  | $ | 303.4 |  |  | $ | 298.1 |  |  | $ | 323.1 |  |  |
Contingency reserve |  | 109.8 |  |  | 101.8 |  |  | 97.4 |  |  |
Qualified statutory capital |  | 413.2 |  |  | 399.9 |  |  | 420.5 |  |  |
Net unearned premiums |  | 51.1 |  |  | 49.5 |  |  | 47.4 |  |  |
Present value of future installment premiums and MSC |  | 13.9 |  |  | 13.8 |  |  | 13.8 |  |  |
HG Re Collateral trusts at statutory value |  | 499.4 |  |  | 478.9 |  |  | 433.0 |  |  |
Fidus Re Collateral trust at statutory value |  | 250.0 |  |  | 250.0 |  |  | 250.0 |  |  |
Claims paying resources |  | $ | 1,227.6 |  |  | $ | 1,192.1 |  |  | $ | 1,164.7 |  |  |

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HG Global/BAM Balance Sheets
The following tables present amounts from HG Global, which includes HG Re and its other wholly-owned subsidiaries, and BAM that are contained within White Mountains’s consolidated balance sheet as of June 30, 2022 and December 31, 2021:

|  | June 30, 2022
Millions |  | HG Global |  | BAM |  | Eliminations and Segment Adjustment |  | Total
Assets |  |  |  |  |  |  |  |
Fixed maturity investments, at fair value |  | $ | 443.7 |  |  | $ | 440.7 |  |  | $ | — |  |  | $ | 884.4 |
Short-term investments, at fair value |  | 40.0 |  |  | 15.3 |  |  | — |  |  | 55.3 |
Total investments |  | 483.7 |  |  | 456.0 |  |  | — |  |  | 939.7 |
Cash |  | 12.8 |  |  | 8.8 |  |  | — |  |  | 21.6 |
BAM Surplus Notes |  | 364.6 |  |  | — |  |  | (364.6) |  |  | — |
Accrued interest receivable on BAM Surplus Notes |  | 163.5 |  |  | — |  |  | (163.5) |  |  | — |
Insurance premiums receivable |  | 4.3 |  |  | 6.9 |  |  | (4.3) |  |  | 6.9 |
Deferred acquisition costs |  | 64.6 |  |  | 33.9 |  |  | (64.6) |  |  | 33.9 |
Other assets |  | 4.1 |  |  | 16.8 |  |  | (1.2) |  |  | 19.7 |
Total assets |  | $ | 1,097.6 |  |  | $ | 522.4 |  |  | $ | (598.2) |  |  | $ | 1,021.8 |
Liabilities |  |  |  |  |  |  |  |
BAM Surplus Notes(1) |  | $ | — |  |  | $ | 364.6 |  |  | $ | (364.6) |  |  | $ | — |
Accrued interest payable on BAM Surplus Notes(2) |  | — |  |  | 163.5 |  |  | (163.5) |  |  | — |
Preferred dividends payable to White Mountains(3) |  | 313.3 |  |  | — |  |  | — |  |  | 313.3 |
Preferred dividends payable to non-controlling interests |  | 11.5 |  |  | — |  |  | — |  |  | 11.5 |
Unearned insurance premiums |  | 228.7 |  |  | 45.3 |  |  | — |  |  | 274.0 |
Debt - HG Global Senior Notes |  | 146.3 |  |  | — |  |  | — |  |  | 146.3 |
Accrued incentive compensation |  | .8 |  |  | 15.7 |  |  | — |  |  | 16.5 |
Other liabilities |  | 4.1 |  |  | 87.2 |  |  | (70.1) |  |  | 21.2 |
Total liabilities |  | 704.7 |  |  | 676.3 |  |  | (598.2) |  |  | 782.8 |
Equity |  |  |  |  |  |  |  |
White Mountains’s common shareholders’ equity |  | 390.2 |  |  | — |  |  | — |  |  | 390.2 |
Non-controlling interests |  | 2.7 |  |  | (153.9) |  |  | — |  |  | (151.2) |
Total equity |  | 392.9 |  |  | (153.9) |  |  | — |  |  | 239.0 |
Total liabilities and equity |  | $ | 1,097.6 |  |  | $ | 522.4 |  |  | $ | (598.2) |  |  | $ | 1,021.8 |

(1) Under GAAP, the BAM Surplus Notes are classified as debt by the issuer. Under U.S. Statutory accounting, they are classified as policyholders’ surplus.
(2) Under GAAP, interest accrues daily on the BAM Surplus Notes. Under U.S. Statutory accounting, interest is not accrued on the BAM Surplus Notes until it has been approved for payment by insurance regulators.
(3) HG Global preferred dividends payable to White Mountains are eliminated in White Mountains’s consolidated financial statements. For segment reporting, the HG Global preferred dividends payable to White Mountains included within the HG Global/BAM segment are eliminated against the offsetting receivable included within the Other Operations segment, and therefore are added back to White Mountains’s common shareholders’ equity within the HG Global/BAM segment.
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|  | December 31, 2021
Millions |  | HG Global |  | BAM |  | Eliminations and Segment Adjustment |  | Total Segment
Assets |  |  |  |  |  |  |  |
Fixed maturity investments, at fair value |  | $ | 461.7 |  |  | $ | 472.4 |  |  | $ | — |  |  | $ | 934.1 |
Short-term investments, at fair value |  | 17.8 |  |  | 14.6 |  |  | — |  |  | 32.4 |
Total investments |  | 479.5 |  |  | 487.0 |  |  | — |  |  | 966.5 |
Cash |  | 13.4 |  |  | 6.4 |  |  | — |  |  | 19.8 |
BAM Surplus Notes |  | 364.6 |  |  | — |  |  | (364.6) |  |  | — |
Accrued interest receivable on BAM Surplus Notes |  | 157.6 |  |  | — |  |  | (157.6) |  |  | — |
Insurance premiums receivable |  | 4.3 |  |  | 6.9 |  |  | (4.3) |  |  | 6.9 |
Deferred acquisition costs |  | 62.7 |  |  | 33.1 |  |  | (62.7) |  |  | 33.1 |
Other assets |  | 2.1 |  |  | 16.6 |  |  | (.2) |  |  | 18.5 |
Total assets |  | $ | 1,084.2 |  |  | $ | 550.0 |  |  | $ | (589.4) |  |  | $ | 1,044.8 |
Liabilities |  |  |  |  |  |  |  |
BAM Surplus Notes(1) |  | $ | — |  |  | $ | 364.6 |  |  | $ | (364.6) |  |  | $ | — |
Accrued interest payable on BAM Surplus Notes(2) |  | — |  |  | 157.6 |  |  | (157.6) |  |  | — |
Preferred dividends payable to White Mountains(3) |  | 400.5 |  |  | — |  |  | — |  |  | 400.5 |
Preferred dividends payable to non-controlling interests |  | 14.2 |  |  | — |  |  | — |  |  | 14.2 |
Unearned insurance premiums |  | 221.5 |  |  | 44.8 |  |  | — |  |  | 266.3 |
Accrued incentive compensation |  | 1.1 |  |  | 23.6 |  |  | — |  |  | 24.7 |
Other liabilities |  | .5 |  |  | 83.4 |  |  | (67.2) |  |  | 16.7 |
Total liabilities |  | 637.8 |  |  | 674.0 |  |  | (589.4) |  |  | 722.4 |
Equity |  |  |  |  |  |  |  |
White Mountains’s common shareholders’ equity |  | 437.5 |  |  | — |  |  | — |  |  | 437.5 |
Non-controlling interests |  | 8.9 |  |  | (124.0) |  |  | — |  |  | (115.1) |
Total equity |  | 446.4 |  |  | (124.0) |  |  | — |  |  | 322.4 |
Total liabilities and equity |  | $ | 1,084.2 |  |  | $ | 550.0 |  |  | $ | (589.4) |  |  | $ | 1,044.8 |

(1) Under GAAP, the BAM Surplus Notes are classified as debt by the issuer. Under U.S. Statutory accounting, they are classified as policyholders’ surplus.
(2) Under GAAP, interest accrues daily on the BAM Surplus Notes. Under U.S. Statutory accounting, interest is not accrued on the BAM Surplus Notes until it has been approved for payment by insurance regulators.
(3) HG Global preferred dividends payable to White Mountains are eliminated in White Mountains’s consolidated financial statements. For segment reporting, the HG Global preferred dividends payable to White Mountains included within the HG Global/BAM segment are eliminated against the offsetting receivable included within the Other Operations segment, and therefore are added back to White Mountains’s common shareholders’ equity within the HG Global/BAM segment.
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Ark
Ark is a specialty property and casualty insurance and reinsurance company that offers a wide range of niche insurance and reinsurance products, including property, marine & energy, specialty, accident & health and casualty. Ark underwrites select coverages through its two major subsidiaries in the United Kingdom and Bermuda.
The following table presents the components of pre-tax income (loss) included in White Mountains’s Ark segment for the three and six months ended June 30, 2022 and 2021:

|  | Three Months Ended June 30, |  | Six Months Ended June 30,
Millions |  | 2022 |  | 2021 |  | 2022 |  | 2021
Earned insurance premiums |  | $ | 217.3 |  |  | $ | 117.8 |  |  | $ | 411.7 |  |  | $ | 222.4 |
Net investment income |  | 3.2 |  |  | .4 |  |  | 4.8 |  |  | 1.2 |
Net realized and unrealized investment gains (losses) |  | (44.6) |  |  | 8.9 |  |  | (62.1) |  |  | 10.0 |
Other revenues |  | 6.3 |  |  | 3.4 |  |  | 3.5 |  |  | 6.0 |
Total revenues |  | 182.2 |  |  | 130.5 |  |  | 357.9 |  |  | 239.6 |
Losses and LAE |  | 120.5 |  |  | 52.6 |  |  | 242.5 |  |  | 118.6 |
Insurance and reinsurance acquisition expenses |  | 50.2 |  |  | 34.0 |  |  | 100.1 |  |  | 70.7 |
General and administrative expenses - other underwriting |  | 18.6 |  |  | 19.1 |  |  | 40.7 |  |  | 30.3 |
General and administrative expenses - all other |  | 11.2 |  |  | 5.7 |  |  | 12.2 |  |  | 32.3 |
Interest expense |  | 3.1 |  |  | 1.3 |  |  | 6.9 |  |  | 2.4 |
Total expenses |  | 203.6 |  |  | 112.7 |  | 402.4 |  | 254.3
Pre-tax income (loss) |  | $ | (21.4) |  |  | $ | 17.8 |  |  | $ | (44.5) |  |  | $ | (14.7) |

For the years of account prior to the Ark Transaction, a significant proportion of the Syndicates’ underwriting capital was provided by TPC Providers using whole account reinsurance contracts with Ark’s corporate member. The TPC Providers’ participation in the Syndicates for the 2020 open year of account is 43% of the total net result of the Syndicates. For the years of account subsequent to the Ark Transaction, Ark is no longer using TPC Providers to provide underwriting capital for the Syndicates. Captions within Ark’s results of operations are shown net of amounts relating to the TPC Providers’ share of the Syndicates’ results, including investment results.
Ark Results—Three Months Ended June 30, 2022 versus Three Months Ended June 30, 2021
Ark reported gross written premiums of $404 million, net written premiums of $270 million and net earned premiums of $217 million in the second quarter of 2022 compared to gross written premiums of $328 million, net written premiums of $262 million and net earned premiums of $118 million in the second quarter of 2021. Premium growth at Ark has been supported by favorable market conditions across most classes with general inflationary concerns, capacity withdrawal in catastrophe lines, and the ongoing conflict in Ukraine driving positive rate momentum.
Ark reported pre-tax income (loss) of $(21) million in the second quarter of 2022 compared to $18 million in the second quarter of 2021. Ark’s pre-tax loss for the second quarter of 2022 included $45 million of net realized and unrealized investment losses, driven primarily by unrealized losses on fixed income securities and the impact of foreign currency on its investment portfolio, compared to $9 million of net realized and unrealized investment gains in the second quarter of 2021.
Ark’s GAAP combined ratio was 87% in the second quarter of 2022 compared to 90% in the second quarter of 2021. The GAAP combined ratio for the second quarter of 2022 included four points of natural catastrophe losses driven primarily by South African and Australian flood losses and seven points related to the ongoing conflict in Ukraine within the specialty, aviation, and marine & energy lines of business. This compared to six points of natural catastrophe losses in the second quarter of 2021. The GAAP combined ratio for the second quarter of 2022 included 10 points of favorable prior year development, driven primarily by the property and accident & health and specialty reserving lines of business, including favorable claims experience on prior year catastrophe events. This compared to eight points of favorable prior year development in the second quarter of 2021, primarily related to the property, energy and accident & health lines of business.
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Ark’s adjusted combined ratio, which adds back amounts attributable to TPC Providers, was 86% in the second quarter of 2022 compared to 84% in the second quarter of 2021. The adjusted combined ratio for the second quarter of 2022 included four points of natural catastrophe losses compared to six points of natural catastrophe losses in the second quarter of 2021. The adjusted combined ratio for the second quarter of 2022 also included seven points related to the ongoing conflict in Ukraine. The adjusted combined ratio for the second quarter of 2022 included 12 points of favorable prior year development compared to 10 points of favorable prior year development in the second quarter of 2021. The underlying drivers of year-over-year changes were the same as those impacting the GAAP combined ratio.
The following table presents Ark’s loss and LAE, insurance acquisition expense, other underwriting expense and combined ratios on both a GAAP-basis and an adjusted basis, which adds back amounts attributable to TPC Providers, for the three months ended June 30, 2022 and 2021:

|  | Three Months Ended June 30, 2022
$ in Millions |  | GAAP |  | TPC Providers’ Share |  | Adjusted (1)
Insurance premiums: |  |  |  |  |  |
Gross written premiums |  | $ | 403.9 |  |  | $ | — |  |  | $ | 403.9 |
Net written premiums |  | $ | 270.2 |  |  | $ | (.6) |  |  | $ | 269.6 |
Net earned premiums |  | $ | 217.3 |  |  | $ | 1.1 |  |  | $ | 218.4 |
Insurance expenses: |  |  |  |  |  |
Loss and loss adjustment expenses |  | $ | 120.5 |  |  | $ | (2.3) |  |  | $ | 118.2 |
Insurance and reinsurance acquisition expenses |  | 50.2 |  |  | — |  |  | 50.2 |
Other underwriting expenses |  | 18.6 |  |  | .8 |  |  | 19.4 |
Total insurance expenses |  | $ | 189.3 |  |  | $ | (1.5) |  |  | $ | 187.8 |
Ratios: |  |  |  |  |  |
Loss and loss adjustment expense |  | 55.5 | % |  |  |  | 54.1 | %
Insurance and reinsurance acquisition expense |  | 23.1 |  |  |  |  | 23.0 |
Other underwriting expense |  | 8.6 |  |  |  |  | 8.9 |
Combined Ratio |  | 87.2 | % |  |  |  | 86.0 | %

(1) See “NON-GAAP FINANCIAL MEASURES” on page 75.

|  | Three Months Ended June 30, 2021
$ in Millions |  | GAAP |  | TPC Providers’ Share |  | Adjusted (1)
Insurance premiums: |  |  |  |  |  |
Gross written premiums |  | $ | 328.1 |  |  | $ | — |  |  | $ | 328.1 |
Net written premiums |  | $ | 262.2 |  |  | $ | (3.0) |  |  | $ | 259.2 |
Net earned premiums |  | $ | 117.8 |  |  | $ | 15.7 |  |  | $ | 133.5 |
Insurance expenses: |  |  |  |  |  |
Loss and loss adjustment expenses |  | $ | 52.6 |  |  | $ | 6.6 |  |  | $ | 59.2 |
Insurance and reinsurance acquisition expenses |  | 34.1 |  |  | — |  |  | 34.1 |
Other underwriting expenses |  | 19.1 |  |  | (.1) |  |  | 19.0 |
Total insurance expenses |  | $ | 105.8 |  |  | $ | 6.5 |  |  | $ | 112.3 |
Ratios: |  |  |  |  |  |
Loss and loss adjustment expense |  | 44.7 | % |  |  |  | 44.3 | %
Insurance and reinsurance acquisition expense |  | 28.9 |  |  |  |  | 25.5 |
Other underwriting expense |  | 16.2 |  |  |  |  | 14.2 |
Combined Ratio |  | 89.8 | % |  |  |  | 84.0 | %

(1) See “NON-GAAP FINANCIAL MEASURES” on page 75.
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Gross Written Premiums
Gross written premiums increased 23% to $404 million in the second quarter of 2022 compared to the second quarter of 2021, with risk adjusted rate change up approximately 9% year over year. The increase in gross written premiums was driven primarily by the property line of business for both insurance and reinsurance across London and Bermuda resulting from favorable market conditions. The following table presents Ark’s gross written premiums by line of business for the three months ended June 30, 2022 and 2021:

|  | Three Months Ended June 30,
Millions |  | 2022 |  | 2021
Property |  | $ | 245.6 |  |  | $ | 176.7 |
Specialty |  | 66.5 |  |  | 68.8 |
Marine & Energy |  | 57.2 |  |  | 50.2 |
Casualty |  | 25.9 |  |  | 17.5 |
Accident & Health |  | 8.7 |  |  | 14.9 |
Total Gross Written Premium |  | $ | 403.9 |  |  | $ | 328.1 |

Ark Results— Six Months Ended June 30, 2022 versus Six Months Ended June 30, 2021
Ark reported gross written premiums of $1,037 million, net written premiums of $814 million and net earned premiums of $412 million in the first six months of 2022 compared to gross written premiums of $733 million, net written premiums of $605 million and net earned premiums of $222 million in the first six months of 2021. Premium growth at Ark has been supported by favorable market conditions across most classes with inflationary concerns, capacity withdrawal in catastrophe lines, and the ongoing conflict in Ukraine driving positive rate momentum.
Ark reported pre-tax loss of $45 million in the first six months of 2022 compared to $15 million in the first six months of 2021. Ark’s pre-tax loss for the first six months of 2022 included $62 million of net realized and unrealized investment losses, driven primarily by unrealized losses on fixed income securities and the impact of foreign currency on its investment portfolio, compared to $10 million of net realized and unrealized investment gains in the second quarter of 2021. Ark’s pre-tax loss for the first six months of 2021 also reflected $25 million of transaction expenses related to the Ark Transaction.
Ark’s GAAP combined ratio was 93% in the first six months of 2022 compared to 99% in the first six months of 2021. The GAAP combined ratio for the first six months of 2022 included five points of natural catastrophe losses driven primarily by the South African and Australian floods in the second quarter and several smaller storms in the first quarter. This compared to 10 points of natural catastrophe losses in the first six months of 2021, driven primarily by Winter Storm Uri. The GAAP combined ratio for the first six months of 2022 also included nine points related to the ongoing conflict in Ukraine within the specialty, aviation, and marine & energy lines of business. The GAAP combined ratio for the first six months of 2022 included six points of favorable prior year development, driven primarily by the property and accident & health and specialty reserving lines of business, including favorable claims experience on prior year catastrophe events in the second quarter. This compared to four points of prior year favorable development in the first six months to 2021, primarily related to the property, energy and accident & health lines of business.
Ark’s adjusted combined ratio, which adds back amounts attributable to TPC Providers, was 93% in the first six months of 2022 compared to 96% in the first six months of 2021. The adjusted combined ratio for the first six months of 2022 included five points of natural catastrophe losses compared to 12 points of natural catastrophe losses in the first six months of 2021. The adjusted combined ratio for the first six months of 2022 also included nine points related to the ongoing conflict in Ukraine. The adjusted combined ratio for the first six months of 2022 included seven points of favorable prior year development compared to five points of favorable prior year development in the first six months of 2021. The underlying drivers of year-over-year changes were the same as those impacting the GAAP combined ratio.
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The following table presents Ark’s loss and loss adjustment expense, insurance acquisition expense, other underwriting expense and combined ratios on both a GAAP-basis and an adjusted basis, which adds back amounts ceded to TPC Providers, for the six months ended June 30, 2022 and 2021:

|  | Six Months Ended June 30, 2022
$ in Millions |  | GAAP |  | TPC Providers’ Share |  | Adjusted (1)
Insurance premiums: |  |  |  |  |  |
Gross written premiums |  | $ | 1,037.0 |  |  | $ | — |  |  | $ | 1,037.0 |
Net written premiums |  | $ | 814.0 |  |  | $ | 1.2 |  |  | $ | 815.2 |
Net earned premiums |  | $ | 411.7 |  |  | $ | 5.9 |  |  | $ | 417.6 |
Insurance expenses: |  |  |  |  |  |
Loss and loss adjustment expenses |  | $ | 242.5 |  |  | $ | 3.4 |  |  | $ | 245.9 |
Insurance and reinsurance acquisition expenses |  | 100.1 |  |  | — |  |  | 100.1 |
Other underwriting expenses |  | 40.7 |  |  | 1.8 |  |  | 42.5 |
Total insurance expenses |  | $ | 383.3 |  |  | $ | 5.2 |  |  | $ | 388.5 |
Ratios: |  |  |  |  |  |
Loss and loss adjustment expense |  | 58.9 | % |  |  |  | 58.9 | %
Insurance and reinsurance acquisition expense |  | 24.3 |  |  |  |  | 23.9 |
Other underwriting expense |  | 9.9 |  |  |  |  | 10.2 |
Combined Ratio |  | 93.1 | % |  |  |  | 93.0 | %

(1) See “NON-GAAP FINANCIAL MEASURES” on page 75.

|  | Six Months Ended June 30, 2021
$ in Millions |  | GAAP |  | TPC Providers’ Share |  | Adjusted (1)
Insurance premiums: |  |  |  |  |  |
Gross written premiums |  | $ | 732.6 |  |  | $ | — |  |  | $ | 732.6 |
Net written premiums |  | $ | 604.6 |  |  | $ | (8.0) |  |  | $ | 596.6 |
Net earned premiums |  | $ | 222.4 |  |  | $ | 46.9 |  |  | $ | 269.3 |
Insurance expenses: |  |  |  |  |  |
Loss and loss adjustment expenses |  | $ | 118.6 |  |  | $ | 38.2 |  |  | $ | 156.8 |
Insurance and reinsurance acquisition expenses |  | 70.8 |  |  | — |  |  | 70.8 |
Other underwriting expenses |  | 30.3 |  |  | 1.2 |  |  | 31.5 |
Total insurance expenses |  | $ | 219.7 |  |  | $ | 39.4 |  |  | $ | 259.1 |
Ratios: |  |  |  |  |  |
Loss and loss adjustment expense |  | 53.3 | % |  |  |  | 58.2 | %
Insurance and reinsurance acquisition expense |  | 31.8 |  |  |  |  | 26.3 |
Other underwriting expense |  | 13.6 |  |  |  |  | 11.7 |
Combined Ratio |  | 98.7 | % |  |  |  | 96.2 | %

(1) See “NON-GAAP FINANCIAL MEASURES” on page 75.
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Gross Written Premiums
Gross written premiums increased 42% to $1,037 million in the first six months of 2022, compared to the first six months of 2021, with risk adjusted rate change up approximately 9%. Ark’s premium growth has impacted almost all lines of business supported by the build out of the Bermuda platform launched in 2021 and favorable market conditions, notably within the property and specialty lines of business. The following table presents Ark’s gross written premiums by line of business for the first six months ended June 30, 2022 and 2021:

|  | For the Six Months Ended
Millions |  | June 30, 2022 |  | June 30, 2021
Property |  | $ | 419.1 |  |  | $ | 280.3 |
Specialty |  | 283.7 |  |  | 178.5 |
Marine & Energy |  | 235.2 |  |  | 190.2 |
Casualty |  | 50.8 |  |  | 30.8 |
Accident & Health |  | 48.3 |  |  | 52.8 |
Total Gross Written Premium |  | $ | 1,037.1 |  |  | $ | 732.6 |

Catastrophe Risk Management
Ark has exposure to losses caused by unpredictable catastrophic events including natural and other disasters such as hurricanes, windstorms, earthquakes, floods, wildfires, tornadoes, tsunamis, and severe winter weather all over the world. Catastrophes can also include large losses driven by public health crises, terrorist attacks, explosions, infrastructure failures, cyber-attacks and armed conflicts. The extent of a catastrophe loss is a function of both the severity of the event and total amount of insured exposure to the event, as well as the coverage provided to customers.
Ark seeks to manage its exposure to catastrophic losses by limiting and monitoring the aggregate insured value of policies in geographic areas with exposure to catastrophic events and by buying reinsurance. To manage, monitor and analyze insured values and potential losses, Ark utilizes proprietary and third-party catastrophe management software to estimate potential losses for many different catastrophe scenarios.
Ark estimates that its two largest modeled probable maximum loss natural catastrophe scenarios on a per occurrence basis at a 1-in-250-year return period are U.S. windstorms and U.S. earthquakes. The July 2022 net after-tax estimated impact of a 1-in-250-year return period loss is 31% and 23% of total tangible capital (shareholders equity and subordinated debt) for U.S. windstorms and U.S. earthquakes, respectively. In each case, the net impact is after income taxes, reinstatement premiums, amounts ceded to third-party reinsurers, and amounts attributable to TPC Providers. As underlying tangible capital grows with expected earnings for the remainder of the year, Ark expects the net after-tax peak exposures to be roughly 25-30% of total tangible capital.
In addition, Ark also has loss exposures to other global events including, but not limited to, Japanese earthquakes, Japanese windstorms, European windstorms, Southeast U.S. windstorms, and U.S. wildfires. Outside of natural catastrophe losses, Ark has exposure to non-natural or man-made large losses. The current largest exposures are cyber, offshore energy production platforms, terrorism events and political risk.
Kudu
Kudu provides capital solutions for boutique asset and wealth managers for a variety of purposes including generational ownership transfers, management buyouts, acquisition and growth finance, and legacy partner liquidity. Kudu also provides strategic assistance to investees from time to time.
As of June 30, 2022, Kudu had deployed a total of $654 million in 18 asset and wealth management firms globally, including one that was exited. As of June 30, 2022, the asset and wealth management firms had combined assets under management of approximately $64 billion, spanning a range of asset classes, including real estate, real assets, wealth management, hedge funds, private equity and alternative credit strategies.
As a result of the Kudu Transaction, White Mountains’s basic ownership of Kudu decreased from 99.1% to 89.3%. See Note 2 — “Significant Transactions.”
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The following table presents the components of GAAP net income, EBITDA and adjusted EBITDA included in White Mountains’s Kudu segment for the three and six months ended June 30, 2022 and 2021:

|  |  |  | Three Months Ended June 30, |  | Six Months Ended June 30, |  |
Millions |  |  |  | 2022 |  | 2021 |  | 2022 |  | 2021 |  |
Net investment income |  |  |  | $ | 13.8 |  |  | $ | 8.4 |  |  | $ | 26.4 |  |  | $ | 16.6 |  |  |
Net realized and unrealized investment gains (losses) |  |  |  | (17.6) |  |  | 27.8 |  |  | 4.7 |  |  | 43.6 |  |  |
Other revenues |  |  |  | — |  |  | — |  |  | — |  |  | .1 |  |  |
Total revenues |  |  |  | (3.8) |  |  | 36.2 |  |  | 31.1 |  |  | 60.3 |  |  |
General and administrative expenses |  |  |  | 3.0 |  |  | 3.2 |  |  | 5.7 |  |  | 5.7 |  |  |
Amortization of other intangible assets |  |  |  | .1 |  |  | .1 |  |  | .2 |  |  | .2 |  |  |
Interest expense |  |  |  | 3.3 |  |  | 1.5 |  |  | 6.1 |  |  | 7.3 |  |  |
Total expenses |  |  |  | 6.4 |  |  | 4.8 |  |  | 12.0 |  |  | 13.2 |  |  |
GAAP pre-tax income (loss) |  |  |  | (10.2) |  |  | 31.4 |  |  | 19.1 |  |  | 47.1 |  |  |
Income tax (expense) benefit |  |  |  | 1.6 |  |  | (9.7) |  |  | (4.5) |  |  | (17.5) |  |  |
GAAP net income (loss) |  |  |  | (8.6) |  |  | 21.7 |  |  | 14.6 |  |  | 29.6 |  |  |
Add back: |  |  |  |  |  |  |  |  |  |  |  |
Interest expense |  |  |  | 3.3 |  |  | 1.5 |  |  | 6.1 |  |  | 7.3 |  |  |
Income tax expense (benefit) |  |  |  | (1.6) |  |  | 9.7 |  |  | 4.5 |  |  | 17.5 |  |  |
General and administrative expenses - depreciation |  |  |  | — |  |  | — |  |  | — |  |  | — |  |  |
Amortization of other intangible assets |  |  |  | .1 |  |  | .1 |  |  | .2 |  |  | .2 |  |  |
EBITDA (1) |  |  |  | (6.8) |  |  | 33.0 |  |  | 25.4 |  |  | 54.6 |  |  |
Exclude: |  |  |  |  |  |  |  |  |  |  |  |
Net realized and unrealized investment (gains) losses |  |  |  | 17.6 |  |  | (27.8) |  |  | (4.7) |  |  | (43.6) |  |  |
Non-cash equity-based compensation expense |  |  |  | — |  |  | .1 |  |  | .1 |  |  | .2 |  |  |
Transaction expenses |  |  |  | .2 |  |  | — |  |  | .2 |  |  | — |  |  |
Adjusted EBITDA (1) |  |  |  | $ | 11.0 |  |  | $ | 5.3 |  |  | $ | 21.0 |  |  | $ | 11.2 |  |  |

(1) See “NON-GAAP FINANCIAL MEASURES” on page 75.
Kudu Results—Three Months Ended June 30, 2022 versus Three Months Ended June 30, 2021
Kudu reported total revenues of $(4) million, pre-tax loss of $10 million and adjusted EBITDA of $11 million in the second quarter of 2022 compared to total revenues of $36 million, pre-tax income of $31 million and adjusted EBITDA of $5 million in the second quarter of 2021. Total revenues and pre-tax income in the second quarter of 2022 included $18 million of net unrealized losses on Kudu’s Participation Contracts compared to $28 million of net unrealized gains in the second quarter of 2021. Net unrealized losses on Kudu’s Participation Contracts in the second quarter of 2022 were driven primarily by declines in assets under management at several managers with significant public equity exposure, partially offset by an increase in the fair value of one Participation Contract resulting from a pending sale transaction. However, Kudu’s Participation Contracts performed well relative to market benchmarks in a volatile quarter. Total revenues, pre-tax income and adjusted EBITDA in the second quarter of 2022 also included $14 million of net investment income compared to $8 million in the second quarter of 2021. The increase in net investment income was driven primarily by amounts earned from the $266 million in new deployments, including $2.2 million of transaction costs, that Kudu made in 2022 and 2021.
Kudu Results—Six Months Ended June 30, 2022 versus Six Months Ended June 30, 2021
Kudu reported total revenues of $31 million, pre-tax income of $19 million and adjusted EBITDA of $21 million in the first six months of 2022 compared to total revenues of $60 million, pre-tax income of $47 million and adjusted EBITDA of $11 million in the first six months of 2021. Total revenues and pre-tax income in the first six months of 2022 included $5 million of net unrealized gains on Kudu’s Participation Contracts compared to $44 million in the first six months of 2021. Net unrealized gains on Kudu’s Participation Contracts in the first six months of 2022 were driven primarily by an increase in the fair value of one Participation Contract resulting from a pending sale transaction, partially offset by declines in assets under management at several managers with significant public equity exposure. Total revenues, pre-tax income and adjusted EBITDA in the first six months of 2022 also included $26 million of net investment income compared to $17 million in the first six months of 2021. The increase in net investment income was driven primarily by amounts earned from $277 million in new deployments, including $2.2 million of transaction costs, that Kudu made in 2022 and 2021.
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Other Operations
The following table presents the components of pre-tax income (loss) included in White Mountains’s Other Operations segment for the three and six months ended June 30, 2022 and 2021:

|  | Three Months Ended June 30, |  | Six Months Ended June 30,
Millions |  | 2022 |  | 2021 |  | 2022 |  | 2021
Net investment income |  | $ | 3.3 |  |  | $ | 4.0 |  |  | $ | 5.1 |  |  | $ | 11.1 |
Net realized and unrealized investment gains (losses) |  | (11.8) |  |  | 16.6 |  |  | 20.1 |  |  | 18.7 |
Net realized and unrealized investment gains (losses) from investment in MediaAlpha |  | (113.5) |  |  | 113.0 |  |  | (94.7) |  |  | 71.3 |
Commission revenues |  | 2.6 |  |  | 2.3 |  |  | 5.5 |  |  | 4.6 |
Other revenues |  | 30.9 |  |  | 22.4 |  |  | 56.6 |  |  | 29.5 |
Total revenues |  | (88.5) |  |  | 158.3 |  |  | (7.4) |  |  | 135.2 |
Cost of sales |  | 22.4 |  |  | 17.9 |  |  | 43.8 |  |  | 21.9 |
General and administrative expenses |  | 50.1 |  |  | 29.3 |  |  | 79.0 |  |  | 65.0 |
Amortization of other intangible assets |  | .9 |  |  | .4 |  |  | 1.8 |  |  | .9 |
Interest expense |  | .3 |  |  | .4 |  |  | .6 |  |  | .7 |
Total expenses |  | 73.7 |  |  | 48.0 |  |  | 125.2 |  |  | 88.5 |
Pre-tax income (loss) |  | $ | (162.2) |  |  | $ | 110.3 |  |  | $ | (132.6) |  |  | $ | 46.7 |

Other Operations Results—Three Months Ended June 30, 2022 versus Three Months Ended June 30, 2021
White Mountains’s Other Operations segment reported pre-tax income (loss) of $(162) million in the second quarter of 2022 compared to $110 million in the second quarter of 2021. White Mountains’s Other Operations segment reported net realized and unrealized investment gains (losses) from its investment in MediaAlpha of $(114) million in the second quarter of 2022 compared to $113 million in the second quarter of 2021. Excluding MediaAlpha, White Mountains’s Other Operations segment reported net realized and unrealized investment gains (losses) of $(12) million in the second quarter of 2022 compared to $17 million in the second quarter of 2021, driven primarily by losses in the fixed income portfolio due to rising interest rates in the second quarter of 2022 and gains on other long-term investments in the second quarter of 2021. White Mountains’s Other Operations segment reported net investment income of $3 million in the second quarter of 2022 compared to $4 million in the second quarter of 2021. See Summary of Investment Results on page 66.
The Other Operations segment reported $31 million of other revenues in the second quarter of 2022 compared to $22 million in the second quarter of 2021. The Other Operations segment reported $22 million of cost of sales in the second quarter of 2022 compared to $18 million in the second quarter of 2021. The increases in other revenues and cost of sales were driven primarily by an acquisition within the Other Operations segment in the second quarter of 2021.
The Other Operations segment reported general and administrative expenses of $50 million in the second quarter of 2022 compared to $29 million in the second quarter of 2021. The increase in general and administrative expenses in the second quarter of 2022 compared to the second quarter of 2021 was driven primarily by higher incentive compensation costs related to the NSM Transaction.
Other Operations Results—Six Months Ended June 30, 2022 versus Six Months Ended June 30, 2021
White Mountains’s Other Operations segment reported pre-tax income (loss) of $(133) million in the first six months of 2022 compared to $47 million in the first six months of 2021. White Mountains’s Other Operations segment reported net realized and unrealized investment gains (losses) from its investment in MediaAlpha of $(95) million in the first six months of 2022 compared to $71 million in the first six months of 2021. Excluding MediaAlpha, White Mountains’s Other Operations segment reported net realized and unrealized investment gains of $20 million in the first six months of 2022 compared to $19 million in the first six months of 2021. White Mountains’s Other Operations segment reported net investment income of $5 million in the first six months of 2022 compared to $11 million in the first six months of 2021, driven primarily by lower distributions from private equity funds in the first six months of 2022 compared to the first six months of 2021. See Summary of Investment Results on page 66.
The Other Operations segment reported $57 million of other revenues in the first six months of 2022 compared to $30 million in the first six months of 2021. The Other Operations segment reported $44 million of cost of sales in the first six months of 2022 compared to $22 million in the first six months of 2021. The increases in other revenues and cost of sales were driven primarily by an acquisition within the Other Operations segment in the first six months of 2021.
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The Other Operations segment reported general and administrative expenses of $79 million in the first six months of 2022 compared to $65 million in the first six months of 2021. The increase in general and administrative expenses in the first six months of 2022 compared to the first six months of 2021 was driven primarily by higher incentive compensation costs related to the NSM Transaction.
II. Summary of Investment Results
White Mountains’s total investment results include results from all segments. For purposes of discussing rates of return, all percentages are presented gross of management fees and trading expenses and are calculated before any adjustments for TPC Providers in order to produce a better comparison to benchmark returns.
Gross Investment Returns and Benchmark Returns
Prior to the MediaAlpha IPO, White Mountains’s investment in MediaAlpha was presented within other long-term investments. Following the MediaAlpha IPO, White Mountains presents its investment in MediaAlpha in a separate line item on the balance sheet. Amounts for periods prior to the MediaAlpha IPO have been reclassified to be comparable to the current period.
The following table presents the pre-tax investment returns for White Mountains’s consolidated portfolio for the three and six months ended June 30, 2022 and 2021:

|  | Three Months Ended |  | Six Months Ended
|  | June 30, |  | June 30,
|  | 2022 |  | 2021 |  | 2022 |  | 2021
Fixed income investments |  | (2.4) | % |  | 0.8 | % |  | (5.5) | % |  | (0.1) | %
Bloomberg Barclays U.S. Intermediate Aggregate Index |  | (2.9) | % |  | 0.8 | % |  | (7.5) | % |  | (0.8) | %
Common equity securities |  | (4.0) | % |  | 3.6 | % |  | (3.8) | % |  | 5.5 | %
Investment in MediaAlpha |  | (40.5) | % |  | 18.8 | % |  | (36.2) | % |  | 8.7 | %
Other long-term investments |  | (1.3) | % |  | 5.7 | % |  | 4.6 | % |  | 10.0 | %
Total common equity securities, investment in MediaAlpha and other long-term investments |  | (7.2) | % |  | 10.0 | % |  | (2.2) | % |  | 10.9 | %
Total common equity securities and other long-term investments |  | (1.8) | % |  | 5.4 | % |  | 3.1 | % |  | 9.4 | %
S&P 500 Index (total return) |  | (16.1) | % |  | 8.5 | % |  | (20.0) | % |  | 15.3 | %
Total consolidated portfolio |  | (4.7) | % |  | 5.0 | % |  | (4.0) | % |  | 4.7 | %
Total consolidated portfolio - excluding MediaAlpha |  | (2.1) | % |  | 2.4 | % |  | (1.9) | % |  | 3.1 | %

Investment Returns—Three and Six Months Ended June 30, 2022 versus Three and Six Months Ended June 30, 2021
White Mountains’s pre-tax total consolidated portfolio return on invested assets was -4.7% in the second quarter of 2022. This return included $114 million of unrealized investment losses from White Mountains’s investment in MediaAlpha. Excluding MediaAlpha, the total consolidated portfolio return on invested assets was -2.1% in the second quarter of 2022.
Excluding MediaAlpha, investment returns in the second quarter of 2022 were driven primarily by net unrealized investment losses in the fixed income portfolio due to rising interest rates. White Mountains’s pre-tax total consolidated portfolio return on invested assets was 5.0% in the second quarter of 2021. This return included $113 million of unrealized investment gains from White Mountains’s investment in MediaAlpha. Excluding MediaAlpha, the total consolidated portfolio return on invested assets was 2.4% in the second quarter of 2021. Excluding MediaAlpha, investment returns in the second quarter of 2021 were driven primarily by favorable other long-term investments results and the impact of the flattening yield curve on White Mountains’s short duration fixed income portfolio.
White Mountains’s pre-tax total consolidated portfolio return on invested assets was -4.0% in the first six months of 2022. This return included $95 million of unrealized investment losses from White Mountains’s investment in MediaAlpha. Excluding MediaAlpha, the total consolidated portfolio return on invested assets was -1.9% in first six months of 2022. Excluding MediaAlpha, investment returns in the first six months of 2022 were driven primarily by net unrealized investment losses in the fixed income portfolio due to rising interest rates, partially offset by favorable other long-term investment results. White Mountains’s pre-tax total consolidated portfolio return on invested assets was 4.7% in the first six months of 2021. This return included $71 million of net realized and unrealized investment gains from White Mountains’s investment in MediaAlpha. Excluding MediaAlpha, the total consolidated portfolio return on invested assets was 3.1% in the first six months of 2021. Excluding MediaAlpha, investment returns in the first six months of 2021 were driven primarily by favorable other long-term investment results.
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Fixed Income Results
White Mountains’s fixed income portfolio, including short-term investments, was $2.1 billion and $2.4 billion as of June 30, 2022 and December 31, 2021, which represented 52% and 56% of total invested assets. The duration of White Mountains’s fixed income portfolio, including short-term investments, was 3.1 years and 2.6 years as of June 30, 2022 and December 31, 2021. White Mountains’s fixed income portfolio includes fixed maturity investments and short-term investments in the HG Re Collateral Trusts of $462 million and $480 million as of June 30, 2022 and December 31, 2021.
White Mountains’s fixed income portfolio return was -2.4% in the second quarter of 2022 compared to 0.8% in the second quarter of 2021, outperforming and in line with the Bloomberg Barclays U.S. Intermediate Aggregate Index returns of -2.9% and 0.8% for the comparable periods. White Mountains’s fixed income portfolio returned -5.5% in the first six months of 2022, compared to -0.1% in the first six months of 2021, outperforming the Bloomberg Barclays U.S. Intermediate Aggregate Index returns of -7.5% and -0.8% for the comparable periods.
The relative results in the second quarter and first six months of 2022 were driven primarily by the impact of White Mountains’s short duration positioning as interest rates increased in both periods. The results in the second quarter of 2021 were driven primarily by the impact of White Mountains’s overweight positioning to investment grade corporate bonds as longer-term interest rates declined during the quarter. The results in the first six months of 2021 were driven primarily by the short duration positioning of White Mountains’s fixed income portfolio as interest rates increased during the period.
Common Equity Securities, Investment in MediaAlpha and Other Long-Term Investments Results
White Mountains’s portfolio of common equity securities, its investment in MediaAlpha and other long-term investments was $1.9 billion as of June 30, 2022 and December 31, 2021, which represented 48% and 44% of total invested assets. See Note 3 — “Investment Securities.”
White Mountains’s portfolio of common equity securities, its investment in MediaAlpha and other long-term investments returned -7.2% in the second quarter of 2022, which included $114 million of unrealized investment losses from MediaAlpha. White Mountains’s portfolio of common equity securities and other long-term investments returned -1.8% in the second quarter of 2022. White Mountains’s portfolio of common equity securities, its investment in MediaAlpha and other long-term investments returned 10.0% in the second quarter of 2021, which included $113 million of unrealized investment gains from MediaAlpha. White Mountains’s portfolio of common equity securities and other long-term investments returned 5.4% in the second quarter of 2021.
White Mountains’s portfolio of common equity securities, its investment in MediaAlpha and other long-term investments returned -2.2% in the first six months of 2022, which included $95 million of unrealized investment losses from MediaAlpha. White Mountains’s portfolio of common equity securities and other long-term investments returned 3.1% in the first six months of 2022. White Mountains’s portfolio of common equity securities, its investment in MediaAlpha and other long-term investments returned 10.9% in the first six months of 2021, which included $71 million of net realized and unrealized investment gains from MediaAlpha. White Mountains’s portfolio of common equity securities and other long-term investments returned 9.4% in the first six months of 2021.
White Mountains maintains a portfolio of common equity securities that consists of international listed funds held in the Ark portfolio. White Mountains’s portfolio of common equity securities was $279 million and $251 million as of June 30, 2022 and December 31, 2021.
White Mountains’s portfolio of common equity securities returned -4.0% in the second quarter of 2022 compared to 3.6% in the second quarter of 2021, outperforming and underperforming the S&P 500 Index returns of -16.1% and 8.5% for the comparable periods. White Mountains’s portfolio of common equity securities returned -3.8% in the first six months of 2022, compared to 5.5% in the first six months of 2021, outperforming and underperforming the S&P 500 Index returns of -20.0% and 15.3% for the comparable periods. The results in the second quarter and first six months of 2022 and 2021 were driven primarily by relative outperformance and underperformance in White Mountains’s international listed funds as compared to the S&P 500 Index.
White Mountains maintains a portfolio of other long-term investments that consists primarily of unconsolidated entities, including Kudu’s Participation Contracts, private equity funds and hedge funds, a bank loan fund, Lloyd’s trust deposits, ILS funds and private debt investments. White Mountains’s portfolio of other long-term investments was $1.5 billion and $1.4 billion as of June 30, 2022 and December 31, 2021.
White Mountains’s other long-term investments portfolio returned -1.3% in the second quarter of 2022 compared to 5.7% in the second quarter of 2021. Investment returns for the second quarter of 2022 were driven primarily by $11 million of net investment income and net realized and unrealized investment losses from private equity funds and hedge funds and $13 million of unrealized losses from foreign currency. Investment returns for the second quarter of 2021 were driven primarily by $36 million of net investment income and net unrealized investment gains from Kudu’s Participation Contracts and $13 million of net investment income and net realized and unrealized investment gains from private equity funds.
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White Mountains’s other long-term investments portfolio returned 4.6% in the first six months of 2022 compared to 10.0% in the first six months of 2021. Investment returns for the first six months of 2022 were driven primarily by $32 million of net investment income and net realized and unrealized investment gains from private equity funds and hedge funds and $31 million of net investment income, net unrealized investment gains, and unrealized foreign currency losses from Kudu’s Participation Contracts. Investment returns in the first six months of 2021 were driven primarily by $60 million of net investment income and net unrealized investment gains from Kudu’s Participation Contracts and $28 million of net investment income and net realized and unrealized investment gains from private equity funds.
Foreign Currency Exposure
As of June 30, 2022, White Mountains had foreign currency exposure on $189 million of net assets from continuing operations primarily related to Ark’s non-U.S. business, Kudu’s non-U.S. Participation Contracts, and certain other foreign consolidated and unconsolidated entities within the Other Operations segment.
The following table presents the fair value of White Mountains’s foreign denominated net assets (net liabilities) by segment as of June 30, 2022:

Currency $ in Millions |  | Ark |  |  |  | Kudu |  | Other Operations |  | Total Fair Value |  | % of Total Shareholders’ Equity |  |  |  |  |  |  |  |
CAD |  | $ | 61.0 |  |  |  |  | $ | 78.5 |  |  | $ | — |  |  | $ | 139.5 |  |  | 4.0 | % |  |  |  |  |  |  |  |  |  |  |
AUD |  | 19.5 |  |  |  |  | 37.6 |  |  | — |  |  | 57.1 |  |  | 1.6 |  |  |  |  |  |  |  |  |  |  |  |
GBP |  | 36.6 |  |  |  |  | — |  |  | — |  |  | 36.6 |  |  | 1.0 |  |  |  |  |  |  |  |  |  |  |  |
EUR |  | (58.1) |  |  |  |  | — |  |  | 11.9 |  |  | (46.2) |  |  | (1.3) |  |  |  |  |  |  |  |  |  |  |  |
All other |  | — |  |  |  |  | — |  |  | 1.9 |  |  | 1.9 |  |  | .1 |  |  |  |  |  |  |  |  |  |  |  |
Total |  | $ | 59.0 |  |  |  |  | $ | 116.1 |  |  | $ | 13.8 |  |  | $ | 188.9 |  |  | 5.4 | % |  |  |  |  |  |  |  |  |  |  |

III. Income Taxes
The Company and its Bermuda domiciled subsidiaries are not subject to Bermuda income tax under current Bermuda law. In the event there is a change in the current law such that taxes are imposed, the Bermuda Exempted Undertakings Tax Protection Act of 1966 states that the Company and its Bermuda domiciled subsidiaries would be exempt from such tax until March 31, 2035. The Company has subsidiaries and branches that operate in various other jurisdictions around the world and are subject to tax in the jurisdictions in which they operate. As of June 30, 2022, the primary jurisdictions in which the Company’s subsidiaries and branches were subject to tax were Ireland, Israel, Luxembourg, the United Kingdom and the United States.
White Mountains’s income tax benefit related to pre-tax loss from continuing operations for the three and six months ended June 30, 2022 represented an effective tax rate of 7% and 8%. The effective tax rate was different from the U.S. statutory rate of 21% driven primarily by full year forecasted income in jurisdictions with lower tax rates than the United States, partially offset by a full valuation allowance on net deferred tax assets in certain U.S. operations, consisting of the WM Adams, Inc. consolidated tax group within the Other Operations segment, and BAM and state income taxes.
White Mountains’s income tax expense related to pre-tax income from continuing operations for the three months ended June 30, 2021 represented an effective tax rate of 19%. The effective tax rate was different from the U.S. statutory rate of 21%, driven primarily by full year forecasted income in jurisdictions with lower tax rates than the United States, partially offset by additional tax expense related to the revaluation of U.K. deferred tax assets and liabilities. On June 10, 2021, the U.K. enacted an increase in its corporate tax rate from 19% to 25% for periods after April 1, 2023. On June 30, 2021, White Mountains increased its net U.K. deferred tax liability to reflect the higher tax rate on temporary differences projected to reverse after the new rate becomes effective.
White Mountains’s income tax expense related to pre-tax income from continuing operations for the six months ended June 30, 2021 represented an effective tax rate of 42%. The effective tax rate was different from the U.S. statutory rate of 21%, driven primarily by the additional tax expense related to the revaluation of U.K. deferred tax assets and liabilities in relation to White Mountains’s pre-tax income in the first six months of 2021.
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IV. Discontinued Operations
NSM
On August 1, 2022, White Mountains closed the previously announced NSM Transaction. See Note 2 — “Significant Transactions.” As a result of the NSM Transaction, effective as of and for the periods ended June 30, 2022, the assets and liabilities of NSM Group have been presented in the balance sheet as held for sale, and the results of operations for NSM Group have been classified as discontinued operations in the statements of operations and comprehensive income. Prior period amounts have been reclassified to conform to the current period’s presentation.
NSM is a full-service MGA and program administrator with delegated binding authorities for specialty property and casualty insurance. The company places insurance in niche sectors such as specialty transportation, pet, real estate, and social services. On behalf of its insurance carrier partners, NSM typically manages all aspects of the placement process, including product development, marketing, underwriting, policy issuance and claims. NSM earns commissions based on the volume and profitability of the insurance that it places. NSM does not take insurance risk.
The following table presents the components of GAAP net income (loss), EBITDA and adjusted EBITDA for NSM for the three and six months ended June 30, 2022 and 2021:

|  | Three Months Ended June 30, |  | Six Months Ended June 30,
Millions |  | 2022 |  | 2021 |  | 2022 |  | 2021
Commission revenues |  | $ | 80.2 |  |  | $ | 68.0 |  |  | $ | 150.3 |  |  | $ | 127.6 |
Broker commission expenses |  | 24.1 |  |  | 21.6 |  |  | 44.7 |  |  | 40.5 |
Gross profit |  | 56.1 |  |  | 46.4 |  |  | 105.6 |  |  | 87.1 |
Other revenues |  | 22.7 |  |  | 16.3 |  |  | 41.1 |  |  | 31.5 |
General and administrative expenses (2) |  | 57.1 |  |  | 47.3 |  |  | 111.1 |  |  | 93.3 |
Change in fair value of contingent consideration |  | — |  |  | .2 |  |  | .1 |  |  | .2 |
Amortization of other intangible assets |  | — |  |  | 8.2 |  |  | 9.1 |  |  | 16.8 |
Loss on assets held for sale |  | — |  |  | — |  |  | — |  |  | 28.7 |
Interest expense |  | 8.4 |  |  | 5.9 |  |  | 10.5 |  |  | 11.8 |
GAAP pre-tax income (loss) |  | 13.3 |  |  | 1.1 |  |  | 15.9 |  |  | (32.2) |
Income tax (expense) benefit (2) |  | (6.2) |  |  | (1.2) |  |  | (5.8) |  |  | 6.8 |
GAAP net income (loss) |  | 7.1 |  |  | (.1) |  |  | 10.1 |  |  | (25.4) |
Add back: |  |  |  |  |  |  |  |
Interest expense |  | 8.4 |  |  | 5.9 |  |  | 10.5 |  |  | 11.8 |
Income tax expense (benefit) |  | 6.2 |  |  | 1.2 |  |  | 5.8 |  |  | (6.8) |
General and administrative expenses — depreciation |  | — |  |  | 1.2 |  |  | 1.2 |  |  | 2.3 |
Amortization of other intangible assets |  | — |  |  | 8.2 |  |  | 9.1 |  |  | 16.8 |
EBITDA (1) |  | 21.7 |  |  | 16.4 |  |  | 36.7 |  |  | (1.3) |
Exclude: |  |  |  |  |  |  |  |
Change in fair value of contingent consideration |  | — |  |  | .2 |  |  | .1 |  |  | .2 |
Non-cash equity-based compensation expense |  | 6.3 |  |  | .5 |  |  | 7.1 |  |  | 1.1 |
Impairments of intangible assets |  | — |  |  | — |  |  | — |  |  | — |
Loss on assets held for sale |  | — |  |  | — |  |  | — |  |  | 28.7 |
Transaction expenses |  | .4 |  |  | .2 |  |  | 1.7 |  |  | .2 |
Investments made in the development of new business lines |  | .2 |  |  | .1 |  |  | .5 |  |  | .1 |
Restructuring expenses |  | .2 |  |  | 1.6 |  |  | .8 |  |  | 4.4 |
Adjusted EBITDA (1) |  | $ | 28.8 |  |  | $ | 19.0 |  |  | $ | 46.9 |  |  | $ | 33.4 |

(1) See “NON-GAAP FINANCIAL MEASURES” on page 75.
(2) The amounts presented do not include certain balances related to NSM’s parent holding company, which are included within discontinued operations as of June 30, 2022.
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NSM Results—Three Months Ended June 30, 2022 versus Three Months Ended June 30, 2021
NSM reported commission and other revenues of $103 million, pre-tax income of $13 million and adjusted EBITDA of $29 million in the second quarter of 2022. NSM reported commission and other revenues of $84 million, pre-tax income of $1 million and adjusted EBITDA of $19 million in the second quarter of 2021. Results for the second quarter of 2022 include the results of J.C. Taylor, an MGA offering classic and antique collector car insurance, which was acquired on August 6, 2021. In addition to the acquisition of J.C. Taylor, commission and other revenues, pre-tax income and adjusted EBITDA benefited from growth in the pet, real estate and specialty transportation verticals. NSM’s general and administrative expenses were $57 million in the second quarter of 2022 compared to $47 million in the second quarter of 2021, driven primarily by the acquisition of J.C. Taylor and increases in personnel costs.
NSM Results—Six Months Ended June 30, 2022 versus Six Months Ended June 30, 2021
NSM reported commission and other revenues of $191 million, pre-tax income of $16 million and adjusted EBITDA of $47 million in the first six months of 2022. NSM reported commission and other revenues of $159 million, pre-tax loss of $32 million and adjusted EBITDA of $33 million in the first six months of 2021. Results for the first six months of 2022 include the results of J.C. Taylor, an MGA offering classic and antique collector car insurance, which was acquired on August 6, 2021. In addition to the acquisition of J.C. Taylor, commission and other revenues, pre-tax income and adjusted EBITDA benefited from growth in the pet, specialty transportation and real estate verticals. NSM’s general and administrative expenses were $111 million in the first six months of 2022 compared to $93 million in the first six months of 2021, driven primarily by the acquisition of J.C. Taylor and increases in personnel costs. NSM’s pre-tax loss in the first six months of 2021 included a loss of $29 million related to the sale of its Fresh Insurance motor business, which was sold on April 12, 2021.
Sirius Group
In the first quarter of 2021, White Mountains recorded an $18 million gain within discontinued operations as a result of reversing a liability arising from the tax indemnification provided in connection with the sale of Sirius Group in 2016 and a $1 million gain related to foreign currency translation. The liability related to certain interest deductions claimed by Sirius Group that had been disputed by the Swedish Tax Agency. In April 2021, the Swedish Tax Agency informed the Swedish Administrative Court of Appeal that Sirius Group should prevail in its appeal (and that the interest deductions should not be disallowed). In June 2021, the Swedish Administrative Court of Appeal ruled in Sirius Group’s favor. See Note 19 — “Held for Sale and Discontinued Operations” on page 45.
LIQUIDITY AND CAPITAL RESOURCES
Operating Cash and Short-term Investments
Holding Company Level
The primary sources of cash for the Company and certain of its intermediate holding companies are expected to be distributions from its insurance, reinsurance and other operating subsidiaries, net investment income, proceeds from sales, repayments and maturities of investments, capital raising activities and, from time to time, proceeds from sales of operating subsidiaries. The primary uses of cash are expected to be general and administrative expenses, purchases of investments, payments to tax authorities, payments on and repurchases/retirements of debt obligations, dividend payments to holders of the Company’s common shares, distributions to non-controlling interest holders of consolidated subsidiaries, contributions to operating subsidiaries and, from time to time, purchases of operating subsidiaries and repurchases of the Company’s common shares.
Operating Subsidiary Level
The primary sources of cash for White Mountains’s insurance, reinsurance and other operating subsidiaries are expected to be premium and fee collections, commissions, net investment income, proceeds from sales, repayments and maturities of investments, contributions from holding companies and capital raising activities. The primary uses of cash are expected to be claim payments, policy acquisition costs, general and administrative expenses, broker commission expenses, cost of sales, purchases of investments, payments to tax authorities, payments on and repurchases/retirements of debt obligations, distributions made to holding companies, distributions to non-controlling interest holders and, from time to time, purchases of operating subsidiaries.
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Both internal and external forces influence White Mountains’s financial condition, results of operations and cash flows. Premium and fee collections, investment returns, claims payments and cost of sales may be impacted by changing rates of inflation and other economic conditions. Some time may lapse between the occurrence of an insured loss, the reporting of the loss to White Mountains’s insurance and reinsurance operating subsidiaries and the settlement of the liability for that loss. The exact timing of the payment of losses cannot be predicted with certainty. White Mountains’s insurance and reinsurance operating subsidiaries maintain portfolios of invested assets with varying maturities and a substantial amount of cash and short-term investments to provide adequate liquidity for the payment of claims.
Management believes that White Mountains’s cash balances, cash flows from operations and routine sales and maturities of investments are adequate to meet expected cash requirements for the foreseeable future on both a holding company and insurance, reinsurance and other operating subsidiary level.
Dividend Capacity
Following is a description of the dividend capacity of White Mountains’s insurance and reinsurance and other operating subsidiaries:
HG Global/BAM
As of June 30, 2022, HG Global had $619 million face value of preferred shares outstanding, of which White Mountains owned 96.9%. Holders of the HG Global preferred shares receive cumulative dividends at a fixed annual rate of 6.0% on a quarterly basis, when and if declared by HG Global. As of June 30, 2022, HG Global has accrued $325 million of dividends payable to holders of its preferred shares, $313 million of which is payable to White Mountains and is eliminated in consolidation. As of June 30, 2022, HG Global and its subsidiaries had $32 million of cash outside of HG Re.
On April 29, 2022, HG Global received the proceeds of its new $150 million, 10-year term loan credit facility. In turn, on May 2, 2022, HG Global paid a $120 million cash dividend to shareholders, of which $116 million was paid to White Mountains.
HG Re is a Special Purpose Insurer subject to regulation and supervision by the BMA, but it does not require regulatory approval to pay dividends. However, HG Re’s dividend capacity is limited to amounts held outside of the Collateral Trusts pursuant to the FLRT with BAM. As of June 30, 2022, HG Re had $2 million of cash and investments and $120 million of accrued interest on the BAM Surplus Notes held outside the Collateral Trusts. As of June 30, 2022, HG Re had $732 million of statutory capital and surplus and $837 million of assets held in the Collateral Trusts pursuant to the FLRT with BAM.
On a monthly basis, BAM deposits cash equal to ceded premiums, net of ceding commissions, due to HG Re under the FLRT directly into the Regulation 114 Trust. The Regulation 114 Trust target balance is equal to gross ceded unearned premiums and unpaid ceded loss and LAE expenses, if any. If, at the end of any quarter, the Regulation 114 Trust balance is below the target balance, funds will be withdrawn from the Supplemental Trust and deposited into the Regulation 114 Trust in an amount equal to the shortfall. If, at the end of any quarter, the Regulation 114 Trust balance is above 102% of the target balance, funds will be withdrawn from the Regulation 114 Trust and deposited into the Supplemental Trust.
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The Supplemental Trust Target Balance is $603 million, less the amount of cash and securities in the Regulation 114 Trust in excess of its target balance. If, at the end of any quarter, the Supplemental Trust balance exceeds the Supplemental Trust Target Balance, such excess may be distributed to HG Re. The distribution will be made first as an assignment of accrued interest on the BAM Surplus Notes and second in cash and/or fixed income securities. As the BAM Surplus Notes are repaid over time, the BAM Surplus Notes will be replaced in the Supplemental Trust by cash and fixed income securities.
As of June 30, 2022, the Collateral Trusts held assets of $837 million, which included $464 million of cash and investments, $365 million of BAM Surplus Notes and $8 million of interest receivable on the BAM Surplus Notes.
Through 2024, the interest rate on the BAM Surplus Notes is a variable rate equal to the one-year U.S. Treasury rate plus 300 basis points, set annually. During 2022, the interest rate on the BAM Surplus Notes is 3.2%. Beginning in 2025, the interest rate will be fixed at the higher of the then current variable rate or 8.0%. Under its agreements with HG Global, BAM is required to seek regulatory approval to pay interest and principal on the BAM Surplus Notes only to the extent that its remaining qualified statutory capital and other capital resources continue to support its outstanding obligations, its business plan and its “AA/stable” rating from Standard & Poor’s. No payment of principal or interest on the BAM Surplus Notes may be made without the approval of the NYDFS.
During the three and six months ended June 30, 2022, BAM made no repayments of the BAM Surplus Notes or accrued interest. See Note 10 — “Municipal Bond Guarantee Insurance.”
Ark
During any 12-month period, GAIL, a class 4 licensed Bermuda insurer, has the ability to (i) make capital distributions based on 15% of its total statutory capital per the previous year’s statutory financial statements, or (ii) make dividend payments based on 25% of its total statutory capital and surplus per the previous year’s statutory financial statements, without prior approval of Bermuda regulatory authorities. Accordingly, White Mountains expects GAIL will have the ability to make capital distributions of $114 million during 2022, which is equal to 15% of its December 31, 2021 statutory capital of $758 million, subject to meeting all appropriate liquidity and solvency requirements. During the six months ended June 30, 2022, GAIL did not pay a dividend to its immediate parent.
As of June 30, 2022, Ark and its intermediate holding companies had $25 million of net unrestricted cash, short-term investments and fixed maturity investments outside of its regulated and unregulated insurance and reinsurance operating subsidiaries. During the six months ended June 30, 2022, Ark paid a $5 million dividend to shareholders, $4 million of which was paid to White Mountains.
Kudu
During the six months ended June 30, 2022, Kudu distributed $13 million to unitholders, substantially all of which was paid to White Mountains. As of June 30, 2022, Kudu had $117 million of net unrestricted cash.
Other Operations
During the six months ended June 30, 2022, White Mountains paid a $3 million common share dividend. As of June 30, 2022, the Company and its intermediate holding companies had $349 million of net unrestricted cash, short-term investments and fixed maturity investments, $167 million of MediaAlpha common stock and $224 million of private equity funds and ILS funds.
Discontinued Operations
NSM
During the six months ended June 30, 2022, NSM distributed $4 million to unitholders, substantially all of which was paid to White Mountains. As of June 30, 2022, NSM had $34 million of net unrestricted cash.
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Financing
The following table presents White Mountains’s capital structure as of June 30, 2022 and December 31, 2021:

$ in Millions |  | June 30, 2022 |  | December 31, 2021
HG Global Senior Notes (1) |  | $ | 146.3 |  |  | $ | — |
Ark 2007 Subordinated Notes (1) |  | 30.0 |  |  | 30.0 |
Ark 2021 Subordinated Notes (1)(2) |  | 153.5 |  |  | 155.9 |
Kudu Credit Facility (1)(2) |  | 253.3 |  |  | 218.2 |
Other Operations debt (1)(2) |  | 35.0 |  |  | 16.8 |
Total debt from continuing operations |  | 618.1 |  |  | 420.9 |
Debt from discontinued operations (2)(3) |  | 261.7 |  |  | 272.1 |
Total debt |  | 879.8 |  |  | 693.0 |
Non-controlling interests—excluding BAM |  | 322.6 |  |  | 280.6 |
Total White Mountains’s common shareholders’ equity |  | 3,323.3 |  |  | 3,548.1 |
Total capital |  | 4,525.7 |  |  | 4,521.7 |
Time-value discount on expected future payments on the BAM Surplus Notes (4) |  | (115.9) |  |  | (125.9) |
HG Global’s unearned premium reserve (4) |  | 221.6 |  |  | 214.6 |
HG Global’s net deferred acquisition costs (4) |  | (62.6) |  |  | (60.8) |
Total adjusted capital |  | $ | 4,568.8 |  |  | $ | 4,549.6 |
Total debt to total adjusted capital |  | 19.3 | % |  | 15.2 | %

(1) See Note 7 — “Debt” for details of debt arrangements from continuing operations.
(2) Net of unamortized issuance costs.
(3) The NSM bank facility with Ares Capital Corporation and the other NSM debt was settled in conjunction with the closing of the NSM Transaction and has been classified as held for sale as of June 30, 2022 and December 31, 2021.
(4) Amount reflects White Mountains’s preferred share ownership in HG Global of 96.9%.
Management believes that White Mountains has the flexibility and capacity to obtain funds externally through debt or equity financing on both a short-term and long-term basis. However, White Mountains can provide no assurance that, if needed, it would be able to obtain additional debt or equity financing on satisfactory terms, if at all.
It is possible that, in the future, one or more of the rating agencies may lower White Mountains’s existing ratings. If one or more of its ratings were lowered, White Mountains could incur higher borrowing costs on future borrowings and its ability to access the capital markets could be impacted.
Covenant Compliance
As of June 30, 2022, White Mountains was in compliance in all material respects with all of the covenants under its debt instruments.
Share Repurchases
White Mountains’s board of directors has authorized the Company to repurchase its common shares from time to time, subject to market conditions. The repurchase authorizations do not have a stated expiration date. As of June 30, 2022, White Mountains may repurchase an additional 364,700 shares under these board authorizations. In addition, from time to time White Mountains has also repurchased its common shares through tender offers that were separately approved by its board of directors.
During the six months ended June 30, 2022, White Mountains repurchased and retired 90,535 of its common shares for $102 million at an average share price of $1,122, which was approximately 97% of White Mountains’s adjusted book value per share as of June 30, 2022. The average share price was approximately 77% of White Mountains’s adjusted book value per share as of June 30, 2022 including the estimated net gain from the NSM Transaction. Of the shares White Mountains repurchased in the first six months of 2022, 4,011 were to satisfy employee income tax withholding pursuant to employee benefit plans, which do not reduce the board authorizations.
During the six months ended June 30, 2021, White Mountains repurchased and retired 7,161 of its common shares for $7 million, at an average share price of $1,039, which was approximately 80% of White Mountains’s adjusted book value per share as of June 30, 2021. All of the shares White Mountains repurchased in the first six months of 2021 were to satisfy employee income tax withholding pursuant to employee benefit plans.
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Cash Flows
Detailed information concerning White Mountains’s cash flows during the six months ended June 30, 2022 and 2021 follows:
Cash flows from operations for the six months ended June 30, 2022 and June 30, 2021
Net cash provided from (used for) operations was $3 million for the six months ended June 30, 2022 compared to $(29) million for the six months ended June 30, 2021. The increase in cash provided from operations was driven primarily by cash provided from Ark’s operations in 2022 compared to cash used for Ark’s operations in 2021, which included expenses from the Ark Transaction. This increase in cash provided from operations was partially offset by the increase in investments in Kudu Participation Contracts in 2022. As of June 30, 2022, the Company and its intermediate holding companies had $349 million of net unrestricted cash, short-term investments and fixed maturity investments, $167 million of MediaAlpha common stock and $224 million of private equity funds and ILS funds.
Cash flows from investing and financing activities for the six months ended June 30, 2022
Financing and Other Capital Activities
During the six months ended June 30, 2022, the Company declared and paid a $3 million cash dividend to its common shareholders.
During the six months ended June 30, 2022, White Mountains repurchased and retired 90,535 of its common shares for $102 million, 4,011 of which were repurchased and retired to satisfy employee income tax withholding pursuant to employee benefit plans.
During the six months ended June 30, 2022, HG Global received net proceeds of $147 million from the issuance of the HG Global Senior Notes.
During the six months ended June 30, 2022, BAM received $36 million in MSC.
During the six months ended June 30, 2022, Kudu borrowed $35 million in term loans under the Kudu Credit Facility.
Acquisitions and Dispositions
On May 26, 2022, Kudu raised $115 million of equity capital from the Kudu Transaction. Mass Mutual, White Mountains and Kudu management contributed $64 million, $50 million and $1 million in the Kudu Transaction.
Cash flows from investing and financing activities for the six months ended June 30, 2021
Financing and Other Capital Activities
During the six months ended June 30, 2021, the Company declared and paid a $3 million cash dividend to its common shareholders.
During the six months ended June 30, 2021, White Mountains repurchased and retired 7,161 of its common shares for $7 million, all of which were repurchased and retired to satisfy employee income tax withholding pursuant to employee benefit plans.
During the six months ended June 30, 2021, BAM received $30 million in MSC.
During the six months ended June 30, 2021, Kudu borrowed $3 million in term loans under the Kudu Bank Facility.
On March 23, 2021, Kudu entered into the Kudu Credit Facility with an initial draw of $102 million, of which $92 million was used to repay the outstanding principal balance on its term loans under the Kudu Bank Facility.
Acquisitions and Dispositions
On January 1, 2021 White Mountains completed the Ark Transaction, which included contributing $605 million of equity capital to Ark, at a pre-money valuation of $300 million, and purchasing $41 million of shares from certain selling shareholders. In the fourth quarter of 2020, White Mountains prefunded/placed in escrow a total of $646 million in preparation for closing the Ark Transaction.
On March 23, 2021, MediaAlpha completed a secondary offering of 8.05 million shares. In the secondary offering, White Mountains sold 3.6 million shares at $46.00 per share ($44.62 per share net of underwriting fees) for net proceeds of $160 million.
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NON-GAAP FINANCIAL MEASURES
This report includes twelve non-GAAP financial measures that have been reconciled from their most comparable GAAP financial measures.
Adjusted book value per share
Adjusted book value per share is a non-GAAP financial measure, which is derived by adjusting (i) the GAAP book value per share numerator and (ii) the common shares outstanding denominator, as described below.
The GAAP book value per share numerator is adjusted (i) to include a discount for the time value of money arising from the modeled timing of cash payments of principal and interest on the BAM Surplus Notes and (ii) to add back the unearned premium reserve, net of deferred acquisition costs, at HG Global.
Under GAAP, White Mountains is required to carry the BAM Surplus Notes, including accrued interest, at nominal value with no consideration for time value of money. Based on a debt service model that forecasts operating results for BAM through maturity of the BAM Surplus Notes, the present value of the BAM Surplus Notes, including accrued interest and using an 8% discount rate, was estimated to be $120 million, $125 million, $130 million and $137 million less than the nominal GAAP carrying values as of June 30, 2022, March 31, 2022, December 31, 2021 and June 30, 2021, respectively.
The value of HG Global’s unearned premium reserve, net of deferred acquisition costs, was $164 million, $160 million, $159 million and $150 million as of June 30, 2022, March 31, 2022, December 31, 2021 and June 30, 2021, respectively.
White Mountains believes these adjustments are useful to management and investors in analyzing the intrinsic value of HG Global, including the value of the BAM Surplus Notes and the value of the in-force business at HG Re, HG Global’s reinsurance subsidiary.
The denominator used in the calculation of adjusted book value per share equals the number of common shares outstanding, adjusted to exclude unearned restricted common shares, the compensation cost of which, at the date of calculation, has yet to be amortized. Restricted common shares are earned on a straight-line basis over their vesting periods. The reconciliation of GAAP book value per share to adjusted book value per share is included on page 50.
BAM’s gross written premiums and MSC from new business
BAM’s gross written premiums and MSC from new business is a non-GAAP financial measure, which is derived by adjusting gross written premiums and MSC collected (i) to include the present value of future installment MSC not yet collected and (ii) to exclude the impact of gross written premium adjustments related to policies closed in prior periods. White Mountains believes these adjustments are useful to management and investors in evaluating the volume and pricing of new business closed during the period. The reconciliation from GAAP gross written premiums to gross written premiums and MSC from new business is included on page 55.
Ark’s adjusted loss and LAE, adjusted insurance acquisition expense, adjusted other underwriting expense and adjusted combined ratios
Ark’s adjusted loss and LAE ratio, adjusted insurance acquisition expense ratio, adjusted other underwriting expense ratio and adjusted combined ratio are non-GAAP financial measures, which are derived by adjusting the GAAP ratios to add back the impact of whole-account quota-share reinsurance arrangements attributable to TPC Providers for the Syndicates. The impact of these reinsurance arrangements relates to years of account prior to the Ark Transaction. White Mountains believes these adjustments are useful to management and investors in evaluating Ark’s results on a fully aligned basis (i.e., 100% of the Syndicates’ results). The reconciliation from the GAAP ratios to the adjusted ratios is included on page 59.
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Kudu’s EBITDA and Kudu’s adjusted EBITDA
Kudu's EBITDA and adjusted EBITDA are non-GAAP financial measures. EBITDA is a non-GAAP financial measure that excludes interest expense on debt, income tax (expense) benefit, depreciation and amortization of other intangible assets from GAAP net income (loss). Adjusted EBITDA is a non-GAAP financial measure that excludes certain other items in GAAP net income (loss) in addition to those excluded from EBITDA. The adjustments relate to (i) net realized and unrealized investment gains (losses) on Kudu's Participation Contracts, (ii) non-cash equity-based compensation expense and (iii) transaction expenses. A description of each adjustment follows:
•Net realized and unrealized investment gains (losses) - Represents net unrealized investment gains and losses on Kudu’s Participation Contracts, which are recorded at fair value under GAAP, and realized investment gains and losses on Kudu’s Participation Contracts sold during the period.
•Non-cash equity-based compensation expense - Represents non-cash expenses related to Kudu’s management compensation that are settled with equity units in Kudu.
•Transaction expenses - Represents costs directly related to Kudu’s mergers and acquisitions activity, such as external lawyer, banker, consulting and placement agent fees, which are not capitalized and are expensed under GAAP.
White Mountains believes that these non-GAAP financial measures are useful to management and investors in evaluating Kudu’s performance. The reconciliation of Kudu’s GAAP net income (loss) to EBITDA and adjusted EBITDA is included on page 64.
Total consolidated portfolio return excluding MediaAlpha
Total consolidated portfolio return excluding MediaAlpha is a non-GAAP financial measure that removes the net investment income and net realized and unrealized investment gains (losses) from White Mountains’s investment in MediaAlpha. White Mountains believes this measure to be useful to management and investors by showing the underlying performance of White Mountains’s investment portfolio without regard to MediaAlpha. The following tables present reconciliations from GAAP to the reported percentages for the three and six months ended June 30, 2022 and 2021:

|  |  |  | Three Months Ended June 30, 2022 |  | Three Months Ended June 30, 2021
|  |  |  |  |  |  |  | GAAP Return |  | Remove MediaAlpha |  | Return - Excluding MediaAlpha |  | GAAP Return |  | Remove MediaAlpha |  | Return - Excluding MediaAlpha
Total consolidated portfolio return |  |  |  |  |  |  |  | (4.7) | % |  | 2.6 | % |  | (2.1) | % |  | 5.0 | % |  | (2.6) | % |  | 2.4 | %

|  |  |  | Six Months Ended June 30, 2022 |  | Six Months Ended June 30, 2021
|  |  |  |  |  |  |  | GAAP Return |  | Remove MediaAlpha |  | Return - Excluding MediaAlpha |  | GAAP Return |  | Remove MediaAlpha |  | Return - Excluding MediaAlpha
Total consolidated portfolio return |  |  |  |  |  |  |  | (4.0) | % |  | 2.1 | % |  | (1.9) | % |  | 4.7 | % |  | (1.6) | % |  | 3.1 | %

NSM’s EBITDA and NSM’s adjusted EBITDA
NSM’s EBITDA and adjusted EBITDA are non-GAAP financial measures. EBITDA is a non-GAAP financial measure that excludes interest expense on debt, income tax (expense) benefit, depreciation and amortization of other intangible assets from GAAP net income (loss). Adjusted EBITDA is a non-GAAP financial measure that excludes certain other items in GAAP net income (loss) in addition to those excluded from EBITDA. The adjustments relate to (i) change in fair value of contingent consideration, (ii) non-cash equity-based compensation expense, (iii) impairments of intangible assets, (iv) loss on assets held for sale, (v) transaction expenses, (vi) investments made in the development of new business lines, (vii) restructuring expenses and (viii) legal settlements. A description of each follows:
•Change in fair value of contingent consideration - Contingent consideration consists of amounts payable to the sellers of businesses purchased by NSM that are contingent on the earnings of such businesses in periods subsequent to their acquisition. Under GAAP, contingent consideration amounts are initially recorded as liabilities at fair value as part of purchase accounting, with the periodic change in the fair value of these liabilities recorded as income or an expense.
•Non-cash equity-based compensation expense - Represents non-cash expenses related to NSM’s management compensation emanating from the grants of equity units.
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•Impairments of intangible assets - Represents expense related to NSM’s write-off of intangible assets. For the periods presented, the impairments related primarily to NSM’s write-off of intangible assets in its U.K. vertical. The impairments related to lower premium volumes, including due to the impact of the COVID-19 pandemic, and certain reorganization initiatives in the U.K. vertical.
• Loss on assets held for sale - Represents the loss on net assets held for sale related to the Fresh Insurance motor business.
•Transaction expenses - Represents costs directly related to NSM’s mergers and acquisitions activity, such as transaction-related compensation, banking, accounting and external lawyer fees, which are not capitalized and are expensed under GAAP.
•Investments made in the development of new business lines - Represents the net loss related to the start-up of newly established lines of business, which NSM views as investments.
•Restructuring expenses - Represents expenses associated with eliminating redundant work force and facilities that often arise as a result of NSM’s post-acquisition integration strategies. For the periods presented, this adjustment relates primarily to NSM’s expenses incurred in certain reorganization initiatives in the U.K. vertical.
•Legal settlements - Represents amounts recognized from legal settlements.
White Mountains believes that these non-GAAP financial measures are useful to management and investors in evaluating NSM’s performance. See page 69 for the reconciliation of NSM’s GAAP net income (loss) to EBITDA and adjusted EBITDA.
Adjusted capital
Total capital at White Mountains is comprised of White Mountains’s common shareholders’ equity, debt and non-controlling interests other than non-controlling interests attributable to BAM. Total adjusted capital is a non-GAAP financial measure, which is derived by adjusting total capital (i) to include a discount for the time value of money arising from the expected timing of cash payments of principal and interest on the BAM Surplus Notes and (ii) to add back the unearned premium reserve, net of deferred acquisition costs, at HG Global. The reconciliation of total capital to total adjusted capital is included on page 73.
CRITICAL ACCOUNTING ESTIMATES
Refer to the Company’s 2021 Annual Report on Form 10-K for a complete discussion regarding White Mountains’s critical accounting estimates.
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FORWARD-LOOKING STATEMENTS
This report may contain “forward-looking statements” within the meaning of Section 27A of the Securities Act of 1933 and Section 21E of the Securities Exchange Act of 1934. All statements, other than statements of historical facts, included or referenced in this report which address activities, events or developments which White Mountains expects or anticipates will or may occur in the future are forward-looking statements. The words “could”, “will”, “believe”, “intend”, “expect”, “anticipate”, “project”, “estimate”, “predict” and similar expressions are also intended to identify forward-looking statements. These forward-looking statements include, among others, statements with respect to White Mountains’s:
•change in book value per share, adjusted book value per share or return on equity;
•business strategy;
•financial and operating targets or plans;
•incurred loss and LAE and the adequacy of its loss and LAE reserves and related reinsurance;
•projections of revenues, income (or loss), earnings (or loss) per share, EBITDA, adjusted EBITDA, dividends, market share or other financial forecasts of White Mountains or its businesses;
•expansion and growth of its business and operations; and
•future capital expenditures.
These statements are based on certain assumptions and analyses made by White Mountains in light of its experience and perception of historical trends, current conditions and expected future developments, as well as other factors believed to be appropriate in the circumstances. However, whether actual results and developments will conform to its expectations and predictions is subject to risks and uncertainties that could cause actual results to differ materially from expectations, including:
•the risks that are described from time to time in White Mountains’s filings with the Securities and Exchange Commission, including but not limited to White Mountains’s Annual Report on Form 10-K for the fiscal year ended December 31, 2021;
•claims arising from catastrophic events, such as hurricanes, earthquakes, floods, fires, severe winter weather, public health crises, terrorist attacks, explosions, infrastructure failures, cyber-attacks or armed conflicts;
•recorded loss reserves subsequently proving to have been inadequate;
•the market value of White Mountains’s investment in MediaAlpha;
•the trends and uncertainties from the COVID-19 pandemic, including judicial interpretations on the extent of insurance coverage provided by insurers for COVID-19 pandemic related claims;
•business opportunities (or lack thereof) that may be presented to it and pursued;
•actions taken by rating agencies, such as financial strength or credit ratings downgrades or placing ratings on negative watch;
•the continued availability of capital and financing;
•deterioration of general economic, market or business conditions, including due to outbreaks of contagious disease (including the COVID-19 pandemic) and corresponding mitigation efforts;
•competitive forces, including the conduct of other insurers;
•changes in domestic or foreign laws or regulations, or their interpretation, applicable to White Mountains, its competitors or its customers; and
•other factors, most of which are beyond White Mountains’s control.
Consequently, all of the forward-looking statements made in this report are qualified by these cautionary statements, and there can be no assurance that the actual results or developments anticipated by White Mountains will be realized or, even if substantially realized, that they will have the expected consequences to, or effects on, White Mountains or its business or operations. White Mountains assumes no obligation to publicly update any such forward-looking statements, whether as a result of new information, future events or otherwise.
Item 3.Quantitative and Qualitative Disclosures About Market Risk.
Refer to White Mountains’s 2021 Annual Report on Form 10-K and in particular Item 7A. - “Quantitative and Qualitative Disclosures About Market Risk.”
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Item 4.Controls and Procedures.
The Principal Executive Officer (“PEO”) and the Principal Financial Officer (“PFO”) of White Mountains have evaluated the effectiveness of its disclosure controls and procedures (as defined in Rule 13a-15(e) and 15d-15(e) of the Exchange Act) as of the end of the period covered by this report. Based on that evaluation, the PEO and PFO have concluded that White Mountains’s disclosure controls and procedures are effective.
There were no significant changes with respect to the Company’s internal control over financial reporting or in other factors that materially affected, or are reasonably likely to materially affect, internal control over financial reporting during the quarter ended June 30, 2022.
Part II.OTHER INFORMATION
Item 1.Legal Proceedings.
None.
Item 1A. Risk Factors.
There have been no material changes to any of the risk factors previously disclosed in the Registrant’s 2021 Annual Report
on Form 10-K.
Item 2.Issuer Purchases of Equity Securities.

Months |  | Total Number of Shares Purchased |  | Average Price Paid per Share |  | Total Number of Shares Purchased as Part of Publicly Announced Plans (1) |  | Maximum Number of Shares that May Yet Be Purchased Under the Plans (1)
April 1- April 30, 2022 |  | 6,999 |  |  | $ | 1,047.23 |  |  | 6,999 |  |  | 410,801 |
May 1 - May 31, 2022 |  | 9,492 |  |  | $ | 1,072.39 |  |  | 9,492 |  |  | 401,309 |
June 1 - June 30, 2022 |  | 36,609 |  |  | $ | 1,233.23 |  |  | 36,609 |  |  | 364,700 |
Total |  | 53,100 |  |  | $ | 1,179.96 |  |  | 53,100 |  |  | 364,700 |

(1) White Mountains’s board of directors has authorized the Company to repurchase its common shares, from time to time, subject to market conditions. The repurchase authorizations do not have a stated expiration date.
Item 3. Defaults Upon Senior Securities.
None.
Item 4.Mine Safety Disclosures.
None.
Item 5.Other Information.
None.
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Item 6.Exhibits.

(a) |  | Exhibit number |  |  |  | Name
|  | 2.1 |  |  | — |  |  | Plan of Reorganization (incorporated by reference herein to the Company’s Registration Statement on S-4 (No. 333-87649) dated September 23, 1999)
|  | 2.2 |  |  | — |  |  | Securities Purchase Agreement dated May 9, 2022 by and among Riser Merger Sub, Inc., White Mountains Catskill Holdings (Luxembourg) S.à r. l., NSM Insurance HoldCo, LLC and the other parties thereto (incorporated by reference herein to Exhibit 2.1 of the Company’s Current Report on Form 8-K dated May 9, 2022) **
|  | 3.1 |  |  | — |  |  | Memorandum of Continuance of the Company (incorporated by reference herein to Exhibit (3)(i) of the Company’s Current Report on Form 8-K dated November 1, 1999)
|  | 3.2 |  |  | — |  |  | Amended and Restated Bye-Laws of the Company (incorporated by reference herein to Exhibit 3 of the Company’s Report on Form 10-Q dated May 2, 2017)
|  | 31.1 |  |  | — |  |  | Principal Executive Officer Certification Pursuant to Rule 13a-14 (a) of the Securities Exchange Act of 1934, as Amended. (*)
|  | 31.2 |  |  | — |  |  | Principal Financial Officer Certification Pursuant to Rule 13a-14 (a) of the Securities Exchange Act of 1934, as Amended. (*)
|  | 32.1 |  |  | — |  |  | Principal Executive Officer Certification Pursuant to 18 U.S.C. Section 1350, as Adopted Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002. (*)
|  | 32.2 |  |  | — |  |  | Principal Financial Officer Certification Pursuant to 18 U.S.C. Section 1350, as Adopted Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002. (*)
|  | 101 |  |  | — |  |  | XBRL Instance Document - the instance document does not appear in the Interactive Data File because its XBRL tags are embedded within the Inline XBRL document.

(*) | Included herein
(**) | Portions of this exhibit are redacted pursuant to Item 601(b)(10)(iv) of Regulation S-K.

SIGNATURES
Pursuant to the requirements of the Securities Exchange Act of 1934, the Registrant has duly caused this report to be signed on its behalf by the undersigned thereunto duly authorized.

|  |  | WHITE MOUNTAINS INSURANCE GROUP, LTD.
|  |  | (Registrant)
Date: | August 8, 2022 |  |  | By: /s/ Michaela J. Hildreth
|  |  |  | Michaela J. Hildreth
|  |  |  | Managing Director and Chief Accounting Officer

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