XML 132 R36.htm IDEA: XBRL DOCUMENT v3.19.3.a.u2
Investment Securities (Tables)
12 Months Ended
Dec. 31, 2019
Investments, Debt and Equity Securities [Abstract]  
Pre-tax net investment income
The following table presents pre-tax net investment income for 2019, 2018 and 2017:
 
 
Year Ended December 31,
Millions
 
2019
 
2018
 
2017
Fixed maturity investments
 
$
32.4

 
$
35.1

 
$
44.9

Short-term investments
 
5.0

 
8.0

 
1.8

Common equity securities
 
13.5

 
15.1

 
10.6

Other long-term investments
 
30.1

 
3.8

 
1.2

Total investment income
 
81.0

 
62.0

 
58.5

Third-party investment expenses
 
(1.3
)
 
(3.0
)
 
(2.5
)
Net investment income, pre-tax
 
$
79.7

 
$
59.0

 
$
56.0


Net Realized and Unrealized Investment Gains and Losses
The following table presents net realized and unrealized investment gains (losses) for 2019, 2018 and 2017:
 
 
Year Ended December 31,
Millions
 
2019
 
2018
 
2017
Net realized investment gains (losses), pre-tax (1)
 
$
96.6

 
$
(12.9
)
 
$
24.1

Net unrealized investment gains (losses), pre-tax (2)
 
336.6

 
(95.4
)
 
109.2

Net realized and unrealized investment gains (losses), pre-tax
 
433.2

 
(108.3
)
 
133.3

Income tax (expense) benefit attributable to net realized and
   unrealized investment gains (losses)
 
(87.0
)
 
18.2

 
(12.9
)
Net realized and unrealized investment gains (losses), after-tax
 
$
346.2

 
$
(90.1
)
 
$
120.4


(1) Excludes $67.5 realized gain associated with the MediaAlpha Transaction, which is recorded in a separate line item in the statement of operations titled Realized gain and unrealized investment gain from the MediaAlpha Transaction. See Note 2 — “Significant Transactions.”
(2) Includes $114.7 unrealized investment gain associated with the MediaAlpha Transaction, which is recorded in a separate line item in the statement of operations titled Realized gain and unrealized investment gain from the MediaAlpha Transaction. See Note 2 — “Significant Transactions.”
Realized Gain (Loss) on Investments
The following tables present net realized investment gains (losses) for the years ended 2019, 2018 and 2017:
 
 
Year Ended December 31, 2019
Millions
 
Net Realized Gains
 
Net Foreign
Exchange Gains (Losses)
 
Total Net Realized Gains Reflected in Earnings
Fixed maturity investments
 
$
4.9

 
$

 
$
4.9

Short-term investments
 
.2

 

 
.2

Common equity securities
 
85.9

 

 
85.9

Other long-term investments (1)
 
5.6

 

 
5.6

Net realized investment gains, pre-tax
 
96.6

 

 
96.6

Income tax expense attributable to net realized investment gains
 
(10.6
)
 

 
(10.6
)
Net realized investment gains, after-tax
 
$
86.0

 
$

 
$
86.0

(1) Excludes $67.5 realized gain associated with the MediaAlpha Transaction, which is recorded in a separate line item in the statement of operations titled Realized gain and unrealized investment gain from the MediaAlpha Transaction. See Note 2 — “Significant Transactions.”

 
 
Year Ended December 31, 2018
Millions
 
Net Realized (Losses) Gains
 
Net Foreign
Exchange Gains (Losses)
 
Total Net Realized (Losses) Gains Reflected in Earnings
Fixed maturity investments
 
$
(29.8
)
 
$
18.2

 
$
(11.6
)
Short-term investments
 
(.8
)
 

 
(.8
)
Common equity securities
 
6.6

 

 
6.6

Other long-term investments
 
.1

 
(7.2
)
 
(7.1
)
Net realized investment (losses) gains, pre-tax
 
(23.9
)
 
11.0

 
(12.9
)
Income tax benefit attributable to net realized investment (losses) gains
 
9.1

 

 
9.1

Net realized investment (losses) gains, after-tax
 
$
(14.8
)
 
$
11.0

 
$
(3.8
)
 
 
Year Ended December 31, 2017
Millions
 
Net Realized (Losses) Gains
 
Net Foreign
Exchange Gains (Losses)
 
Total Net Realized Gains (Losses) Reflected in Earnings
Fixed maturity investments
 
$
(1.6
)
 
$
4.1

 
$
2.5

Short-term investments
 
(.3
)
 

 
(.3
)
Common equity securities
 
18.1

 
6.0

 
24.1

Other long-term investments
 
19.1

 
(21.3
)
 
(2.2
)
Net realized investment gains (losses), pre-tax
 
35.3

 
(11.2
)
 
24.1

Income tax expense attributable to net realized investment gains (losses)
 
(8.9
)
 

 
(8.9
)
Net realized investment gains (losses), after-tax
 
$
26.4

 
$
(11.2
)
 
$
15.2


Unrealized Gain (Loss) on Investments
The following tables present net unrealized investment gains (losses) and changes in the carrying value of investments measured at fair value for the years ended 2019, 2018 and 2017:
 
 
Year Ended December 31, 2019
Millions
 
Net Unrealized Gains
 
Net Foreign
Exchange
Losses
 
Total Net Unrealized Gains Reflected in Earnings
Fixed maturity investments
 
$
38.6

 
$

 
$
38.6

Common equity securities
 
109.8

 

 
109.8

Other long-term investments (1)
 
188.5

 
(.3
)
 
188.2

Net unrealized investment gains (losses), pre-tax
 
336.9

 
(.3
)
 
336.6

Income tax expense attributable to net unrealized investment gains
 
(76.4
)
 

 
(76.4
)
Net unrealized investment gains (losses), after-tax
 
$
260.5

 
$
(.3
)
 
$
260.2

(1) Includes $114.7 unrealized investment gain associated with the MediaAlpha Transaction, which is recorded in a separate line item in the statement of operations titled Realized gain and unrealized investment gain from the MediaAlpha Transaction. See Note 2 — “Significant Transactions.”

 
 
Year Ended December 31, 2018
Millions
 
Net Unrealized (Losses)
Gains
 
Net Foreign
Exchange (Losses)
Gains
 
Total Net Unrealized (Losses) Gains Reflected in Earnings
Fixed maturity investments
 
$
(8.3
)
 
$
(14.8
)
 
$
(23.1
)
Common equity securities
 
(105.5
)
 

 
(105.5
)
Other long-term investments
 
30.2

 
3.0

 
33.2

Net unrealized investment losses, pre-tax
 
(83.6
)
 
(11.8
)
 
(95.4
)
Income tax benefit attributable to net unrealized investment losses
 
9.1

 

 
9.1

Net unrealized investment losses, after-tax
 
$
(74.5
)
 
$
(11.8
)
 
$
(86.3
)
 
 
Year Ended December 31, 2017
Millions
 
Net
Unrealized Gains (Losses)
 
Net Foreign
Exchange Gains (Losses)
 
Total Net Unrealized
Gains (Losses) Reflected in
Earnings
Fixed maturity investments
 
$
13.8

 
$
12.7

 
$
26.5

Common equity securities
 
99.3

 

 
99.3

Other long-term investments
 
(15.6
)
 
(1.0
)
 
(16.6
)
Net unrealized investment gains, pre-tax
 
97.5

 
11.7

 
109.2

Income tax expense attributable to net unrealized investment gains
 
(4.0
)
 

 
(4.0
)
Net unrealized investment gains, after-tax
 
$
93.5

 
$
11.7

 
$
105.2



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 years ended December 31, 2019, 2018 and 2017 for investments held as of December 31, 2019, 2018 and 2017:
 
 
Year Ended December 31,
Millions
 
2019
 
2018
 
2017
Other long-term investments
 
$
181.9

 
$
22.6

 
$
(15.4
)

Investment holdings, fixed maturity 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 December 31, 2019 and 2018.
 
 
December 31, 2019
Millions
 
Cost or
Amortized
Cost
 
Gross
Unrealized
Gains
 
Gross
Unrealized
Losses
 
Carrying
Value
U.S. Government and agency obligations
 
$
231.7

 
$
1.0

 
$
(.2
)
 
$
232.5

Debt securities issued by corporations
 
454.9

 
12.5

 
(.2
)
 
467.2

Municipal obligations
 
284.7

 
12.5

 
(.1
)
 
297.1

Mortgage and asset-backed securities
 
206.6

 
2.7

 
(.3
)
 
209.0

Total fixed maturity investments
 
$
1,177.9

 
$
28.7

 
$
(.8
)
 
$
1,205.8


 
 
December 31, 2018
Millions
 
Cost or
Amortized
Cost
 
Gross
Unrealized
Gains
 
Gross
Unrealized
Losses
 
Carrying
Value
U.S. Government and agency obligations
 
$
154.0

 
$
.1

 
$
(.9
)
 
$
153.2

Debt securities issued by corporations
 
519.0

 
1.0

 
(9.5
)
 
510.5

Municipal obligations
 
279.0

 
2.4

 
(1.1
)
 
280.3

Mortgage and asset-backed securities
 
136.1

 
.1

 
(2.7
)
 
133.5

Total fixed maturity investments
 
$
1,088.1

 
$
3.6

 
$
(14.2
)
 
$
1,077.5



Schedule of contractual maturities of fixed maturities
The following table presents the cost or amortized cost and carrying value of White Mountains’s fixed maturity investments by contractual maturity as of December 31, 2019. 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.
 
 
December 31, 2019
Millions
 
Cost or Amortized Cost
 
Carrying Value
Due in one year or less
 
$
190.0

 
$
190.8

Due after one year through five years
 
481.6

 
489.3

Due after five years through ten years
 
165.3

 
173.2

Due after ten years
 
134.4

 
143.5

Mortgage and asset-backed securities
 
206.6

 
209.0

Total
 
$
1,177.9

 
$
1,205.8



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), net foreign currency losses, and carrying values of White Mountains’s common equity securities and other long-term investments as of December 31, 2019 and 2018:
 
 
December 31, 2019
Millions
 
Cost or
Amortized Cost
 
Gross Unrealized
Gains
 
Gross Unrealized
Losses
 
Net Foreign
Currency Losses
 
Carrying
Value
Common equity securities
 
$
553.3

 
$
130.6

 
$

 
$

 
$
683.9

Other long-term investments
 
$
667.4

 
$
255.2

 
$
(64.1
)
 
$
(2.2
)
 
$
856.3

 
 
December 31, 2018
Millions
 
Cost or
Amortized Cost
 
Gross Unrealized
Gains
 
Gross Unrealized
Losses
 
Net Foreign
Currency Losses
 
Carrying
Value
Common equity securities
 
$
904.7

 
$
51.0

 
$
(30.1
)
 
$

 
$
925.6

Other long-term investments
 
$
330.3

 
$
52.2

 
$
(54.9
)
 
$
(2.0
)
 
$
325.6


Fair value measurements by level, investment securities
The following tables present White Mountains’s fair value measurements for investments as of December 31, 2019 and 2018 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, foreign governments, 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 and common equity securities by industry sector because investors often reference commonly used benchmarks and their subsectors to monitor risk and performance. Accordingly, White Mountains has further disaggregated these asset classes 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 and S&P 500 indices.
 
 
December 31, 2019
Millions
 
Fair Value
 
Level 1
 
Level 2
 
Level 3
Fixed maturity investments:
 
 
 
 
 
 
 
 
U.S. Government and agency obligations
 
$
232.5

 
$
232.5

 
$

 
$

Debt securities issued by corporations:
 
 

 
 
 
 
 
 
Financials
 
144.8

 

 
144.8

 

Industrial
 
59.0

 

 
59.0

 

Healthcare
 
52.6

 

 
52.6

 

Consumer
 
50.9

 

 
50.9

 

Energy
 
44.9

 

 
44.9

 

Technology
 
41.2

 

 
41.2

 

Communications
 
31.3

 

 
31.3

 

Utilities
 
25.0

 

 
25.0

 

Materials
 
17.5

 

 
17.5

 

Total debt securities issued by corporations
 
467.2

 

 
467.2

 

 
 
 
 
 
 
 
 
 
Municipal obligations
 
297.1

 

 
297.1

 

Mortgage and asset-backed securities
 
209.0

 

 
209.0

 

Total fixed maturity investments
 
1,205.8

 
232.5

 
973.3

 

 
 
 
 
 
 
 
 
 
Short-term investments (1)
 
201.2

 
189.4

 
11.8

 

 
 
 
 
 
 
 
 
 
Common equity securities:
 
 

 
 

 
 

 
 

 
 
 
 
 
 
 
 
 
Exchange traded funds (2)
 
536.4

 
521.6

 
14.8

 

Other (3)
 
147.5

 
25.9

 
121.5

 
0.1

Total common equity securities
 
683.9

 
547.5

 
136.3

 
0.1

Other long-term investments
 
654.0

 

 

 
654.0

Other long-term investments  NAV(4)
 
202.3

 

 

 

Total investments
 
$
2,947.2

 
$
969.4

 
$
1,121.4

 
$
654.1


(1) Short-term investments are measured at amortized cost, which approximates fair value.
(2) ETFs traded on foreign exchanges are priced using the fund’s published NAV to account for the difference in market close times and are therefore designated a Level 2 measurement.
(3) Primarily consists of two investments in unit trusts that predominantly invest in international equities and an open-end mutual fund that invests in domestic large-cap companies.
(4) Consists of private equity funds, one hedge 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, 2018
Millions
 
Fair Value
 
Level 1
 
Level 2
 
Level 3
Fixed maturity investments:
 
 

 
 

 
 

 
 

U.S. Government and agency obligations
 
$
153.2

 
$
153.2

 
$

 
$

 
 
 
 
 
 
 
 
 
Debt securities issued by corporations:
 
 

 
 

 
 

 
 

Financials
 
143.4

 

 
143.4

 

Consumer
 
68.5

 

 
68.5

 

Technology
 
60.5

 

 
60.5

 

Energy
 
57.6

 

 
57.6

 

Healthcare
 
55.0

 

 
55.0

 

Industrial
 
47.6

 

 
47.6

 

Communications
 
31.8

 

 
31.8

 

Materials
 
26.3

 

 
26.3

 

Utilities
 
19.8

 

 
19.8

 

Total debt securities issued by corporations
 
510.5

 

 
510.5

 

 
 
 
 
 
 
 
 
 
Municipal obligations
 
280.3

 

 
280.3

 

Mortgage and asset-backed securities
 
133.5

 

 
133.5

 

Total fixed maturity investments
 
1,077.5

 
153.2

 
924.3

 

 
 
 
 
 
 
 
 
 
Short-term investments (1)
 
214.2

 
204.4

 
9.8

 

 
 
 
 
 
 
 
 
 
Common equity securities:
 
 

 
 

 
 

 
 

Exchange traded funds (2)
 
675.3

 
617.0

 
58.3

 

Healthcare
 
14.0

 
14.0

 

 

Financials
 
13.5

 
13.5

 

 

Communications
 
12.7

 
12.7

 

 

Industrial
 
11.4

 
11.4

 

 

Technology
 
7.4

 
7.4

 

 

Consumer
 
6.2

 
6.2

 

 

Energy
 
4.1

 
4.1

 

 

Materials
 
3.1

 
3.1

 

 

Other (3)
 
177.9

 

 
177.9

 

Total common equity securities
 
925.6

 
689.4

 
236.2

 

Other long-term investments
 
138.7

 

 

 
138.7

Other long-term investments  NAV (4)
 
186.9

 

 

 

Total investments
 
$
2,542.9

 
$
1,047.0

 
$
1,170.3

 
$
138.7


(1) Short-term investments are measured at amortized cost, which approximates fair value.
(2) ETFs traded on foreign exchanges are priced using the fund’s published NAV to account for the difference in market close times and are therefore designated a Level 2 measurement.
(3) Consists of two investments in unit trusts that predominantly invest in international equities.
(4) Consists of private equity funds, one hedge fund, White Mountains’s non-controlling equity interest in Kudu prior to consolidation and one unconsolidated entity 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 ratings of debt securities issued by corporations held in White Mountains’s investment portfolio as of December 31, 2019 and 2018:
 
 
Fair Value at December 31,
Millions
 
2019
 
2018
AAA
 
$
9.5

 
$
8.9

AA
 
73.9

 
88.7

A
 
288.5

 
270.5

BBB
 
95.3

 
142.4

Debt securities issued by corporations (1)
 
$
467.2

 
$
510.5

(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 as of December 31, 2019 and 2018:
 
 
December 31, 2019
 
December 31, 2018
Millions
 
Fair Value
 
Level 2
 
Level 3
 
Fair Value
 
Level 2
 
Level 3
Mortgage-backed securities:
 
 

 
 

 
 

 
 

 
 

 
 

Agency:
 
 

 
 

 
 

 
 

 
 

 
 

FNMA
 
$
88.6

 
$
88.6

 
$

 
$
53.6

 
$
53.6

 
$

FHLMC
 
60.5

 
60.5

 

 
38.1

 
38.1

 

GNMA
 
30.8

 
30.8

 

 
23.7

 
23.7

 

Total agency (1)
 
179.9

 
179.9

 

 
115.4

 
115.4

 

Total mortgage-backed securities
 
179.9

 
179.9

 

 
115.4

 
115.4

 

Other asset-backed securities:
 
 

 
 
 
 
 
 

 
 
 
 
Vehicle receivables
 
15.1

 
15.1

 

 
9.2

 
9.2

 

Credit card receivables
 
14.0

 
14.0

 

 
8.9

 
8.9

 

Total other asset-backed securities
 
29.1

 
29.1

 

 
18.1

 
18.1

 

Total mortgage and asset-backed securities
 
$
209.0

 
$
209.0

 
$

 
$
133.5

 
$
133.5

 
$

(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).
Other Investments Not Readily Marketable
The following table presents the carrying values of White Mountains’s other long-term investments as of December 31, 2019 and 2018:

 
 
Carrying Value at
Millions
 
December 31, 2019
 
December 31, 2018
Kudu’s Participation Contracts (1)(2)
 
$
266.5

 
$

MediaAlpha (1)(3)
 
180.0

 

PassportCard/DavidShield (1)
 
90.0

 
75.0

Elementum (1)
 
55.1

 

Other unconsolidated entities (1)(4)
 
31.2

 
60.0

Kudu (5)
 

 
30.7

Total unconsolidated entities (1)
 
622.8

 
165.7

Private equity funds and hedge funds
 
161.1

 
146.1

Insurance-linked securities funds
 
41.2

 

Other
 
31.2

 
13.8

Total other long-term investments
 
$
856.3

 
$
325.6

(1) See Fair Value Measurements by Level table.
(2) Includes Kudu’s non-controlling equity interests in the form of revenue and earnings participation contracts. As of December 31, 2019, White Mountains consolidates Kudu. See Note 2 — “Significant Transactions”.
(3) The MediaAlpha Transaction was completed on February 26, 2019. See Note 2 — “Significant Transactions”.
(4) Includes White Mountains’s non-controlling equity interests in certain private common equity securities, limited liability companies and convertible preferred securities.
(5) Includes White Mountains’s non-controlling equity interest in Kudu prior to consolidation. See Note 2 — “Significant Transactions”.

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 December 31, 2019 and 2018:
 
 
December 31, 2019
 
December 31, 2018
Millions
 
Fair Value
 
Unfunded
Commitments
 
Fair Value
 
Unfunded
Commitments
 
 
 
 
 
 
 
 
 
Private equity funds
 
 

 
 

 
 

 
 

Manufacturing/Industrial
 
$
57.7

 
$
4.1

 
$
42.9

 
$
10.5

Aerospace/Defense/Government
 
33.8

 
23.3

 
27.6

 
34.9

Financial services
 
15.0

 
22.8

 
8.3

 
13.6

Direct lending
 

 

 
13.0

 
17.7

Total private equity funds
 
106.5

 
50.2

 
91.8

 
76.7

 
 
 
 
 
 
 
 
 
Hedge funds
 
 

 
 

 
 

 
 

Long/short banks and financial
 
54.6

 

 
54.3

 

Total hedge funds
 
54.6

 

 
54.3

 

Total private equity funds and hedge funds
   included in other long-term investments
 
$
161.1

 
$
50.2

 
$
146.1

 
$
76.7


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 December 31, 2019:
Millions
 
1 – 3 years
 
3 – 5 years
 
5 – 10 years
 
>10 years
 
Total
Private equity funds — expected lock-up period remaining
 
$
4.8

 
$
51.9

 
$
40.2

 
$
9.6

 
$
106.5


Rollforward of fair value investments by level
The following tables present the changes in White Mountains’s fair value measurements by level for the years ended December 31, 2019 and 2018:
 
 
 
 
 
 
Level 3 Investments
 
Other Long-term Investments Measured at NAV (3)
 
 
 
Millions
 
Level 1
Investments
 
Level 2
Investments
 
Common
Equity
Securities
 
Other Long-term
Investments(2)
 
 
Total
Balance at December 31, 2018
 
$
842.6

 
$
1,160.5

 
$

 
$
138.7

 
$
186.9

 
$
2,328.7

(1) 
Net realized and unrealized gains
 
163.0

 
76.1

 

 
181.2

 
12.7

 
433.0

(2)4) 
Amortization/accretion
 
.2

 
(1.8
)
 

 

 

 
(1.6
)
 
Purchases
 
165.3

 
404.5

 
.1

 
185.4

 
110.8

 
866.1

 
Sales
 
(391.1
)
 
(529.7
)
 

 

 
(29.5
)
 
(950.3
)
 
Effect of Kudu Transaction
 

 

 

 
141.8

 
(71.7
)
 
70.1

 
Transfers in
 

 

 

 
10.9

 
4.0

 
14.9

  
Transfers out
 

 

 

 
(4.0
)
 
(10.9
)
 
(14.9
)
  
Balance at December 31, 2019
 
$
780.0

 
$
1,109.6

 
$
.1

 
$
654.0

 
$
202.3

 
$
2,746.0

(1) 
(1) Excludes carrying value of $201.2 and $214.2 as of December 31, 2019 and 2018 classified as short-term investments.
(2) 
Includes $114.7 unrealized investment gain associated with the MediaAlpha Transaction, which is recorded in a separate line item in the statement of operations titled Realized gain and unrealized investment gain from the MediaAlpha Transaction. See Note 2 — “Significant Transactions”.
(3) Includes private equity funds, hedge funds, ILS funds and unconsolidated entities 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”.
(4) Excludes realized and unrealized losses associated with short-term investments of $0.2 for the year ended December 31, 2019.

 
 
 
 
 
 
Level 3 Investments
 
Other Long-term Investments Measured at NAV (3)
 
 
 
Millions
 
Level 1
Investments
 
Level 2
Investments
 
Other Long- term
Investments
 
 
Total
Balance at December 31, 2017
 
$
890.4

 
$
2,105.4

 
$
77.2

 
$
135.3

 
$
3,208.3

(1)(2) 
Net realized and unrealized (losses) gains
 
(64.9
)
 
(64.4
)
 
16.2

 
13.3

  
(99.8
)
(4) 
Amortization/accretion
 
.2

 
(2.7
)
 

 

  
(2.5
)
 
Purchases
 
514.7

 
783.8

 
45.3

 
50.5

  
1,394.3

 
Sales
 
(497.8
)
 
(1,661.6
)
 

 
(12.2
)
 
(2,171.6
)
 
Transfers in
 

 

 

 

  

 
Transfers out
 

 

 

 

 

 
Balance at December 31, 2018
 
$
842.6

 
$
1,160.5

 
$
138.7

 
$
186.9

 
$
2,328.7

(2) 

(1) Excludes carrying value of $(3.7) as of December 31, 2017 associated with foreign currency forward contracts.
(2) Excludes carrying value of $214.2 and $176.1 as of December 31, 2018 and 2017 classified as short-term investments.
(3)  
Includes private equity funds, hedge funds and unconsolidated entities 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”.
(4) Excludes realized and unrealized losses associated with foreign currency forward contracts, foreign currency on cash and open trades and short-term investments of $3.5, $4.2 and $0.8 for the year ended December 31, 2018.

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 other long-term investments, other than private equity funds, hedge funds and ILS funds, classified within Level 3 as of December 31, 2019 and 2018. The fair value of investments in private equity funds, hedge funds and ILS funds are generally estimated using the NAV of the funds.

$ in Millions
 
December 31, 2019
Description
 
Valuation Technique(s)
 
Fair Value (1)
 
Unobservable Inputs
 
 
 
 
 
 
Discount Rate (2)
 
Terminal Cash Flow Exit Multiple (x) or Terminal Revenue Growth Rate (%) (2)
Kudu’s Participation Contracts
 
Discounted cash flow
 
$266.5
 
15% - 22%
 
6x - 12x
MediaAlpha
 
Discounted cash flow
 
$180.0
 
15%
 
4%
PassportCard/DavidShield
 
Discounted cash flow
 
$90.0
 
22%
 
4%
Elementum Holdings, L.P.
 
Discounted cash flow
 
$55.1
 
20%
 
4%
Private debt instruments
 
Discounted cash flow
 
$23.7
 
4% - 9%
 
N/A
All other
 
Discounted cash flow
 
$23.7
 
25% - 32%
 
4%
 
 
 
 
 
 
 
 
 
Compare.com
 
Estimated net realizable value
 
$2.5
 
Net asset value:
 
$2.5
(1) Includes the net unrealized investment gains (losses) associated with foreign currency; foreign currency effects based on observable inputs.
(2) 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, 2018
Description
 
Valuation Technique(s)
 
Fair Value (1)
 
Unobservable Inputs
 
 
 
 
 
 
Discount Rate (2)
 
Terminal Revenue Exit Multiple (x) (2)
PassportCard/DavidShield
 
Discounted cash flow
 
$75.0
 
18%
 
1x
Compare.com
 
Discounted cash flow
 
$16.9
 
22%
 
3x
Private debt instrument
 
Discounted cash flow
 
$10.0
 
9%
 
N/A
All other
 
Discounted cash flow
 
$30.0
 
23%
 
2x - 4x
 
 
 
 
 
 
 
 
 
Galvanic Applied Sciences
 
Multiple of EBITDA
 
$3.1
 
EBITDA multiple:
 
6x
(1) Includes the net unrealized investment gains (losses) associated with foreign currency; foreign currency effects based on observable inputs.
(2) Increases (decreases) to the discount rates in isolation would result in lower (higher) fair value measurements, while increases (decreases) to the terminal revenue exit multiples in isolation would result in higher (lower) fair value measurements.