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Fair Value Measurements (Tables)
12 Months Ended
Dec. 31, 2021
Fair Value Disclosures [Abstract]  
Financial Assets Measured on Recurring Basis
The following tables present the level within the fair value hierarchy at which the Company’s financial assets and liabilities are measured on a recurring basis as at December 31, 2021 and December 31, 2020:
 As at December 31, 2021
 Level 1Level 2Level 3Total
 ($ in millions)
Available for sale financial assets, at fair value
U.S. government$1,084.3 $— $— $1,084.3 
U.S. agency— 21.5 — 21.5 
Municipal— 82.6 — 82.6 
Corporate— 2,208.3 — 2,208.3 
Non-U.S. government-backed corporate— 136.8 — 136.8 
Non-U.S. government164.4 86.3 — 250.7 
Asset-backed— 0.5 — 0.5 
Non-agency commercial mortgage-backed— 6.9 — 6.9 
Agency mortgage-backed— 1,090.0 — 1,090.0 
Total fixed income securities available for sale, at fair value1,248.7 3,632.9 — 4,881.6 
Short-term investments available for sale, at fair value6.5 3.6 — 10.1 
Held for trading financial assets, at fair value
U.S. government116.3 — — 116.3 
Municipal— 4.0 — 4.0 
Corporate— 96.8 — 96.8 
Non-U.S. government-backed corporate— 13.1 — 13.1 
High yield loans— 76.9 — 76.9 
Non-U.S. government11.9 22.6 — 34.5 
Asset-backed— 785.7 — 785.7 
Agency mortgage-backed— 30.2 — 30.2 
Total fixed income securities trading, at fair value128.2 1,029.3 — 1,157.5 
Short-term investments trading, at fair value1.1 0.9 — 2.0 
Privately-held investments trading, at fair value— — 307.1 307.1 
Catastrophe bonds trading, at fair value— 3.4 — 3.4 
Other investments (1)
— — — 151.3 
Other financial assets and liabilities, at fair value
Derivatives at fair value — foreign exchange contracts— 12.9 — 12.9 
Liabilities under derivative contracts — foreign exchange contracts— (13.3)— (13.3)
Total1,384.5 4,669.7 307.1 6,512.6 
______________
(1)Other investments represents our investments in real estate funds and are measured at fair value using the net asset value per share practical expedient. As a result this has not been classified in the fair value hierarchy. The fair value amounts presented in the table above are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets. The investment in the real estate funds are subject to restrictions as detailed in Note 20(a), “Commitments and Contingencies.”
 At December 31, 2020
 Level 1Level 2Level 3Total
 ($ in millions)
Available for sale financial assets, at fair value
U.S. government$1,101.2 $— $— $1,101.2 
U.S. agency— 34.3 — 34.3 
Municipal— 67.1 — 67.1 
Corporate184.2 88.9 — 273.1 
Non-U.S. government-backed corporate— 63.4 — 63.4 
Non-U.S. government— 7.4 — 7.4 
Asset-backed— 973.1 — 973.1 
Non-agency commercial mortgage-backed— 2.3 — 2.3 
Agency mortgage-backed— 1,826.2 — 1,826.2 
Total fixed income securities available for sale, at fair value1,285.4 3,062.7 — 4,348.1 
Short-term investments available for sale, at fair value81.0 6.8 — 87.8 
Held for trading financial assets, at fair value
U.S. government120.5 — — 120.5 
Municipal— 3.5 — 3.5 
Corporate— 103.5 — 103.5 
High yield loans— 9.8 — 9.8 
Non-U.S. government41.2 0.4 — 41.6 
Asset-backed— 539.1 — 539.1 
Agency mortgage-backed— 37.6 — 37.6 
Total fixed income securities trading, at fair value161.7 693.9 — 855.6 
Short-term investments trading, at fair value35.4 — — 35.4 
Privately-held investments— — 299.3 299.3 
Catastrophe bonds trading, at fair value— 18.8 — 18.8 
Other investments (1)
— — — 109.4 
Other financial assets and liabilities, at fair value
Derivatives at fair value — foreign exchange contracts— 26.8 — 26.8 
Liabilities under derivative contracts — foreign exchange contracts— (13.6)— (13.6)
Total$1,563.5 $3,795.4 $299.3 $5,767.6 
______________
(1)Other investments represents our investments in real estate funds and are measured at fair value using the net asset value per share practical expedient. As a result this has not been classified in the fair value hierarchy. The fair value amounts presented in the table above are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets. The investment in the real estate funds are subject to restrictions as detailed in Note 20(a), “Commitments and Contingencies.”
Fair Value, Measured on a Recurring Basis, Gain (Loss) Included in Earnings
The following table presents a reconciliation of the beginning and ending balances for all assets and liabilities measured at fair value on a recurring basis using Level 3 inputs for the twelve months ended December 31, 2021 and December 31, 2020:
Twelve Months Ended December 31, 2021Balance at beginning of yearPurchases and issuancesTransfers in/(out)Settlements and salesIncrease/(decrease) in fair value including net incomeBalance at end of yearChange in unrealized investment gains (losses) relating to assets held at end of year
Assets
Privately-held investments — trading
Commercial mortgage loans$163.6 $169.9 $— $(122.5)$0.5 $211.5 $(0.5)
Middle market loans112.1 5.6 — (56.1)3.7 65.3 (1.5)
Asset-backed securities18.6 10.0 — (1.8)(0.1)26.7 (0.2)
Equity securities5.0 0.1 — (1.6)0.1 3.6 — 
Preference shares— 19.5 (19.5)— — — — 
Total Level 3 assets$299.3 $205.1 $(19.5)$(182.2)$4.2 $307.1 $(2.2)
Twelve Months Ended December 31, 2020
Assets
Privately-held investments — trading
Commercial mortgage loans$156.4 $79.7 $— $(59.4)$(13.1)$163.6 $0.1 
Middle market loans111.7 0.9 8.3 (4.8)(4.0)112.1 (5.3)
Asset-backed securities8.7 10.0 — — (0.1)18.6 — 
Equity securities2.7 2.4 — (0.1)— 5.0 — 
Total Level 3 assets$279.5 $93.0 $8.3 $(64.3)$(17.2)$299.3 $(5.2)
Fair Value Inputs, and Valuation Techniques
The following table summarizes the quantitative inputs and assumptions used for financial assets and liabilities categorized as Level 3 under the fair value hierarchy as at December 31, 2021:
At December 31, 2021Fair Value
Level 3
Valuation Techniques
 Unobservable (U) inputs
RangesWeighted Average
($ in millions)
Privately-held investments — Trading
Commercial mortgage loans$173.9 Discounted cash flowDiscount rate3.5%9.5%5.8%
   Commercial mortgage loans37.6 Transaction Valuen/an/an/an/a
   Commercial mortgage loans— Liquidation Methodn/an/an/an/a
Middle market loans65.3 Discounted cash flowDiscount rate6.2%15.5%9.1%
Middle market loans— Recovery Approachn/an/an/an/a
   Asset-backed securities26.7 Discounted cash flowDiscount rate3.0%7.3%5.4%
Equity securities2.8 Discounted cash flowDiscount rate9.2%9.2%9.2%
Equity securities0.8 Transaction Valuen/an/an/an/a
$307.1