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Investment Securities (Tables)
3 Months Ended
Mar. 31, 2021
Investments, Debt and Equity Securities [Abstract]  
Pre-tax net investment income
The following table presents pre-tax net investment income for the three months ended March 31, 2021 and 2020:
Three Months Ended
March 31,
Millions20212020
Fixed maturity investments$6.5 $8.1 
Short-term investments1.6 .8 
Common equity securities 3.8 
Investment in MediaAlpha 2.4 
Other long-term investments13.8 8.1 
Amount attributable to TPC Providers(.9)— 
Total investment income21.0 23.2 
Third-party investment expenses(.4)(.3)
Net investment income, pre-tax$20.6 $22.9 
Schedule of net realized and unrealized investment gains and losses
The following table presents net realized and unrealized investment gains (losses) for the three months ended March 31, 2021 and 2020:
Three Months Ended
 March 31,
Millions20212020
Fixed maturity investments$(25.4)$2.2 
Short-term investments(1.3).4 
Common equity securities1.0 (140.8)
Investment in MediaAlpha(41.7)30.0 
Other long-term investments28.1 (48.5)
Amount attributable to TPC Providers(1.3)— 
Net realized and unrealized investment losses (1)
(40.6)(156.7)
Less: net losses on investment securities sold during the period (.2)(8.7)
Net realized and unrealized investment losses on investment securities held at the end of the period $(40.4)$(148.0)
(1) For the three months ended March 31, 2021 and 2020, includes $(0.2) and $(0.4) of realized and unrealized investment losses related to foreign currency exchange.
Net unrealized investment gains (losses) for Level 3 investments
The following table presents total gains (losses) included in earnings attributable to net unrealized investment gains (losses) for Level 3 investments for the three months ended March 31, 2021 and 2020 for investments still held at the end of the period:
Three Months Ended
 March 31,
Millions20212020
Other long-term investments$16.7 $(9.4)
Total net unrealized investment gains (losses), pre-tax - Level 3 investments$16.7 $(9.4)
Investment holdings, equity securities, convertible fixed maturities and other long-term investments
The following tables present the cost or amortized cost, gross unrealized investment gains (losses) and carrying values of White Mountains’s fixed maturity investments as of March 31, 2021 and December 31, 2020:
 March 31, 2021
MillionsCost or
Amortized
Cost
Gross
Unrealized
Gains
Gross
Unrealized
Losses
Net Foreign
Currency
Gains
Carrying
Value
U.S. Government and agency obligations$220.1 $2.1 $(.6)$— $221.6 
Debt securities issued by corporations678.6 13.9 (5.7).1 686.9 
Municipal obligations269.4 15.4 (1.0)— 283.8 
Mortgage and asset-backed securities225.8 5.4 (1.3)— 229.9 
Collateralized loan obligations59.5 — (.1)— 59.4 
Total fixed maturity investments$1,453.4 $36.8 $(8.7)$.1 $1,481.6 
 December 31, 2020
MillionsCost or
Amortized
Cost
Gross
Unrealized
Gains
Gross
Unrealized
Losses
Carrying
Value
U.S. Government and agency obligations$173.2 $3.1 $— $176.3 
Debt securities issued by corporations522.8 24.7 (.1)547.4 
Municipal obligations244.0 21.0 — 265.0 
Mortgage and asset-backed securities211.7 6.8 — 218.5 
Total fixed maturity investments$1,151.7 $55.6 $(.1)$1,207.2 

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 March 31, 2021 and December 31, 2020:
 March 31, 2021
MillionsCost or
Amortized
Cost
Gross
Unrealized
Gains
Gross
Unrealized
Losses
Net Foreign
Currency Gains
(Losses)
Carrying
Value
Common equity securities$117.6 $1.1 $(.2)$.1 $118.6 
Investment in MediaAlpha$ $600.2 $ $ $600.2 
Other long-term investments$965.5 $125.8 $(56.5)$(2.6)$1,032.2 
 December 31, 2020
MillionsCost or
Amortized
Cost
Gross
Unrealized
Gains
Gross
Unrealized
Losses
Net Foreign
Currency
Gains
Carrying
Value
Common equity securities$— $— $— $— $— 
Investment in MediaAlpha$— $802.2 $— $— $802.2 
Other long-term investments$767.4 $95.8 $(78.1)$1.7 $786.8 
Fair value measurements by level, investment securities
The following tables present White Mountains’s fair value measurements for investments as of March 31, 2021 and December 31, 2020 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.
 March 31, 2021
MillionsFair ValueLevel 1Level 2Level 3
Fixed maturity investments:    
U.S. Government and agency obligations$221.6 $221.6 $ $ 
Debt securities issued by corporations: 
Financials183.1  183.1  
Consumer96.3  96.3  
Technology81.9  81.9  
Healthcare76.6  76.6  
Industrial74.2  74.2  
Communications53.4  53.4  
Utilities51.4  51.4  
Energy39.3  39.3  
Materials30.7  30.7  
Total debt securities issued by corporations686.9  686.9  
Municipal obligations283.8  283.8  
Mortgage and asset-backed securities229.9  229.9  
Collateralized loan obligations59.4  59.4  
Total fixed maturity investments1,481.6 221.6 1,260.0  
Short-term investments625.8 481.2 144.6  
Common equity securities (1)
118.6  118.6  
Investment in MediaAlpha600.2 600.2   
Other long-term investments656.4   656.4 
Other long-term investments NAV (2)
375.8    
Total other long-term investments1,032.2   656.4 
Total investments$3,858.4 $1,303.0 $1,523.2 $656.4 
(1) Consist of investments in listed funds that predominantly invest in international equities.
(2) Consists of private equity funds, a hedge funds, Lloyd’s trust deposits, a bank loan fund 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.
 December 31, 2020
MillionsFair ValueLevel 1Level 2Level 3
Fixed maturity investments:    
U.S. Government and agency obligations$176.3 $176.3 $— $— 
Debt securities issued by corporations:    
Financials133.9 — 133.9 
Consumer81.9 — 81.9 — 
Industrial66.9 — 66.9 — 
Technology66.7 — 66.7 — 
Healthcare51.5 — 51.5 — 
Communications44.5 — 44.5 — 
Energy35.8 — 35.8 — 
Materials33.9 — 33.9 — 
Utilities32.3 — 32.3 — 
Total debt securities issued by corporations547.4 — 547.4 — 
Municipal obligations265.0 — 265.0 — 
Mortgage and asset-backed securities218.5 — 218.5 — 
Total fixed maturity investments1,207.2 176.3 1,030.9 — 
Short-term investments 142.9 142.9 — — 
Investment in MediaAlpha802.2 802.2 — — 
Other long-term investments614.2 — — 614.2 
Other long-term investments NAV (1)
172.6 — — — 
Total other long-term investments786.8 — — 614.2 
Total investments$2,939.1 $1,121.4 $1,030.9 $614.2 
(1) Consists of private equity funds 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.
Debt securities issued by corporations, credit ratings
The following table presents the credit ratings of debt securities issued by corporations held in White Mountains’s investment portfolio as of March 31, 2021 and December 31, 2020:
Fair Value at
MillionsMarch 31, 2021December 31, 2020
AAA$12.7 $10.6 
AA60.2 57.9 
A353.2 318.3 
BBB250.9 159.6 
BB1.0 1.0 
Other8.9 — 
Debt securities issued by corporations (1)
$686.9 $547.4 
(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-backed, asset-backed securities
The following table presents the fair value of White Mountains’s mortgage and asset-backed securities and collateralized loan obligations as of March 31, 2021 and December 31, 2020:
 March 31, 2021December 31, 2020
MillionsFair ValueLevel 2Level 3Fair ValueLevel 2Level 3
Mortgage-backed securities:      
Agency:      
FNMA$98.4 $98.4 $ $88.7 $88.7 $— 
FHLMC76.9 76.9  70.1 70.1 — 
GNMA36.7 36.7  40.6 40.6 — 
Total agency (1)
212.0 212.0  199.4 199.4 — 
Non-agency: Residential.6 .6  — — — 
Total non-agency.6 .6  — — — 
  Total mortgage-backed securities212.6 212.6  199.4 199.4 — 
Other asset-backed securities:  
Credit card receivables11.3 11.3  11.3 11.3 — 
Vehicle receivables6.0 6.0  7.8 7.8 — 
  Total other asset-backed securities17.3 17.3  19.1 19.1 — 
Total mortgage and asset-backed securities229.9229.9 218.5 218.5 — 
Collateralized loan obligations59.4 59.4  — — — 
Total mortgage and asset-backed securities and collateralized loan obligations$289.3 $289.3 $ $218.5 $218.5 $— 
(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).
Schedule of carrying values for other long-term investments
The following table presents the carrying values of White Mountains’s other long-term investments as of March 31, 2021 and December 31, 2020:
Carrying Value at
MillionsMarch 31, 2021December 31, 2020
Kudu’s Participation Contracts $427.4 $400.6 
PassportCard/DavidShield
95.0 95.0 
Elementum Holdings L.P. 56.7 55.1 
Other unconsolidated entities (1)
43.3 42.4 
Total unconsolidated entities (2)
622.4 593.1 
Private equity funds and hedge funds133.5 121.2 
Lloyd’s trust deposits 99.2 — 
Bank loan fund 89.2 — 
ILS funds53.8 51.4 
Private debt investments (2)
21.0 21.1 
Other13.1 — 
Total other long-term investments$1,032.2 $786.8 
(1) Includes White Mountains’s non-controlling equity interests in certain private common equity securities, limited liability companies and convertible preferred securities and Simple Agreement for Future Equity (“SAFE”) investments.
(2) See Fair Value Measurements by Level table.
Other long-term investments The following table presents investments and unfunded commitments in private equity funds and hedge funds by investment objective and sector as of March 31, 2021 and December 31, 2020:
 March 31, 2021December 31, 2020
MillionsFair ValueUnfunded
Commitments
Fair ValueUnfunded
Commitments
Private equity funds    
Aerospace/Defense/Government$73.0 $14.0 $69.1 $15.3 
Financial services43.2 35.3 23.5 30.4 
Real estate4.0 3.0 — — 
Manufacturing/Industrial1.3  28.6 — 
Total private equity funds121.5 52.3 121.2 45.7 
Hedge funds    
European small/mid cap12.0  — — 
Total hedge funds12.0  — — 
Total private equity funds and hedge funds
   included in other long-term investments
$133.5 $52.3 $121.2 $45.7 
Fair Value of private equity funds subject to lock-up periods
The following table presents investments in private equity funds that were subject to lock-up periods as of March 31, 2021:
Millions1 – 3 years3 – 5 years5 – 10 years>10 yearsTotal
Private equity funds — expected lock-up period remaining$6.8$27.0$74.5$13.2$121.5
Rollforward of fair value investments by level
The following tables present the changes in White Mountains’s fair value measurements by level for the three months ended March 31, 2021 and 2020:
   Level 3 
Investments
Other Long-term Investments Measured at NAV (1)
  
MillionsLevel 1 InvestmentsLevel 2 
Investments
Other Long-term
Investments
Total 
Balance at December 31, 2020$978.5 $1,030.9 $614.2 $172.6 $2,796.2 
(2)
Net realized and unrealized (losses) gains(43.2)(22.9)16.7 11.4 (38.0)
(3)
Amortization/Accretion (1.4)  (1.4)
Purchases53.4 426.4 17.5 94.5 591.8 
Sales(166.9)(122.6)(1.6)(38.5)(329.6)
Effect of Ark Transaction 68.2 9.6 135.8 213.6 
Transfers in     
 
Transfers out     
 
Balance at March 31, 2021$821.8 $1,378.6 $656.4 $375.8 $3,232.6 
(1)
(1) Consists of private equity funds, a hedge fund, Lloyd’s trust deposits, bank loans, 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. See Note 1 — “Basis of Presentation and Significant Accounting Policies”.
(2) Excludes carrying value of $625.8 and $142.9 as of March 31, 2021 and December 31, 2020 classified as short-term investments.
(3) Excludes realized and unrealized losses associated with short-term investments of $(1.3) and includes amounts attributable to TPC Providers of $1.3 for the three months ended March 31, 2021.

   Level 3 
Investments
Other Long-term Investments Measured at NAV (1)
 
MillionsLevel 1 InvestmentsLevel 2 
Investments
Common
equity
securities
Other Long- term
Investments and
Investment in
MediaAlpha Pre-IPO
Total 
Balance at December 31, 2019$780.0 $1,109.6 $.1 $654.0 $202.3 $2,746.0 
(2)
Net realized and unrealized losses(98.7)(39.9)— (9.7)(8.8)(157.1)
(3)
Amortization/Accretion— (.8)— — — (.8)
Purchases74.2 126.8 — 24.7 7.2 232.9 

Sales(109.9)(105.4)— (8.1)(56.0)(279.4)
Transfers in— — — — — — 
Transfers out— — — — — — 
Balance at March 31, 2020$645.6 $1,090.3 $.1 $660.9 $144.7 $2,541.6 
(2)
(1) Includes private equity funds, a hedge fund and ILS funds for which fair value is measured at NAV using the practical expedient are no longer classified within the fair value hierarchy. See Note 1 — “Basis of Presentation and Significant Accounting Policies”.
(2) Excludes carrying value of $137.6 and $201.2 as of March 31, 2020 and December 31, 2019 classified as short-term investments.
(3) Excludes realized and unrealized losses associated with short-term investments of $0.4 for the three months ended March 31, 2020.
Schedule of significant unobservable inputs used in estimating the fair value of investment securities
The following tables present significant unobservable inputs used in estimating the fair value of White Mountains’s other long-term investments, other than private equity funds, hedge funds, Lloyd’s trust deposits, bank loans funds and ILS funds, classified within Level 3 as of March 31, 2021 and December 31, 2020. The fair value of investments in private equity funds, hedge funds, Lloyd’s trust deposits, bank loans funds and ILS funds are generally estimated using the NAV of the funds.

$ in MillionsMarch 31, 2021
Description
Valuation Technique(s) (1)
Fair Value (2)
Unobservable Inputs
Discount Rate (3)(4)
Terminal Cash Flow Exit Multiple (x) or Terminal Revenue Growth Rate (%) (4)
Kudu’s Participation Contracts (5)
Discounted cash flow$427.418% - 23%7x - 12x
PassportCard/DavidShield Discounted cash flow$95.023%4%
Elementum Holdings, L.P.Discounted cash flow$56.717%4%
Private debt instrumentsDiscounted cash flow$17.04% - 8%N/A
All otherDiscounted cash flow$19.820% - 24%4%
New Market Solutions, LLCRecent transaction$9.9Transaction price:$9.9
Noblr, Inc.Recent transaction$8.7Transaction price:$8.7
Zillion Insurance Services, Inc.Recent transaction$5.0Transaction price:$5.0
(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.
(4) 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.
(5) In the first quarter of 2021, Kudu deployed a total of $10.9 in TIG Advisors LLC, an existing Kudu Participation Contract.
$ in MillionsDecember 31, 2020
Description
Valuation Technique(s) (1)
Fair Value (2)
Unobservable Inputs
Discount Rate (3)(4)
Terminal Cash Flow Exit Multiple (x) or Terminal Revenue Growth Rate (%) (4)
Kudu’s Participation Contracts (5)
Discounted cash flow$400.618% - 23%7x - 12x
PassportCard/DavidShield (6)
Discounted cash flow$95.023%4%
Elementum Holdings, L.P.Discounted cash flow$55.117%4%
Private debt instrumentsDiscounted cash flow$17.14% - 8%N/A
All otherDiscounted cash flow$18.820% - 24%4%
New Market Solutions, LLCRecent transaction$9.9Transaction price:$9.9
Noblr, Inc.Recent transaction$8.7Transaction price:$8.7
Zillion Insurance Services, Inc.(7)
Recent transaction$5.0Transaction price:$5.0
(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.
(4) 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.
(5) In 2020, Kudu deployed a total of $118.2 in new Kudu Participation Contracts, including Creation Investments Capital, Sequoia Financial Group, Channel Capital and Ranger Investment Management.
(6) In 2020, White Mountains made an additional $15.0 investment in PassportCard/DavidShield. See Note 2 “Significant Transactions”.
(7) In 2020, White Mountains made an additional $2.5 investment in Zillion Insurance Services, Inc.