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Fair Value Measurements (Tables)
12 Months Ended
Dec. 31, 2019
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, 2019 and December 31, 2018:
 
 
As at December 31, 2019
 
 
Level 1
 
Level 2
 
Level 3
 
Total
 
 
($ in millions)
Available for sale financial assets, at fair value
 
 
 
 
 
 
 
 
U.S. government
 
$
1,413.1

 
$

 
$

 
$
1,413.1

U.S. agency
 

 
39.6

 

 
39.6

Municipal
 

 
50.7

 

 
50.7

Corporate
 

 
1,959.8

 

 
1,959.8

Non-U.S. government-backed corporate
 

 
86.5

 

 
86.5

Non-U.S. government
 
199.8

 
129.0

 

 
328.8

Asset-backed
 

 
0.2

 

 
0.2

Non-agency commercial mortgage-backed
 

 
6.5

 

 
6.5

Agency mortgage-backed
 

 
1,073.0

 

 
1,073.0

Total fixed income securities available for sale, at fair value
 
1,612.9

 
3,345.3

 

 
4,958.2

Short-term investments available for sale, at fair value
 
108.1

 
9.5

 

 
117.6

Held for trading financial assets, at fair value
 
 
 
 
 
 
 
 
U.S. government
 
185.0

 

 

 
185.0

Municipal
 

 
3.2

 

 
3.2

Corporate
 

 
243.2

 

 
243.2

Non-U.S. government-backed corporate
 

 

 

 

Non-U.S. government
 
48.3

 
102.9

 

 
151.2

Asset-backed
 

 
492.4

 

 
492.4

Agency mortgage-backed
 

 
53.8

 

 
53.8

Total fixed income securities trading, at fair value
 
233.3

 
895.5

 

 
1,128.8

Short-term investments trading, at fair value
 
79.2

 

 

 
79.2

Privately-held investments trading, at fair value
 

 

 
279.7

 
279.7

Catastrophe bonds trading, at fair value
 

 
28.6

 

 
28.6

Other investments (1)
 

 

 

 
111.4

 
 
 
 
 
 
 
 
 
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
 

 
(8.9
)
 

 
(8.9
)
Derivatives at fair value — interest rate swaps
 

 
(78.3
)
 

 
(78.3
)
Loan notes issued by variable interest entities, at fair value (included within accrued expenses and other payables)
 

 

 

 

Total
 
$
2,033.5

 
$
4,204.6

 
$
279.7

 
$
6,629.2

______________
(1) 
Other investments represents our investment in a real estate fund and is 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 fund is subject to restrictions as detailed in Note 20(a), “Commitments and Contingencies.”

 
At December 31, 2018
 
Level 1
 
Level 2
 
Level 3
 
Total
 
($ in millions)
Available for sale financial assets, at fair value
 
 
 
 
 
 
 
U.S. government
$
1,404.2

 
$

 
$

 
$
1,404.2

U.S. agency

 
47.4

 

 
47.4

Municipal

 
47.2

 

 
47.2

Corporate

 
2,206.2

 

 
2,206.2

Non-U.S. government-backed corporate

 
93.2

 

 
93.2

Non-U.S. government
268.0

 
134.6

 

 
402.6

Asset-backed

 
17.3

 

 
17.3

Agency mortgage-backed

 
1,012.6

 

 
1,012.6

Total fixed income securities available for sale, at fair value
1,672.2

 
3,558.5

 

 
5,230.7

Short-term investments available for sale, at fair value
93.7

 
11.9

 

 
105.6

Held for trading financial assets, at fair value
 
 
 
 
 
 
 
U.S. government
147.7

 

 

 
147.7

Municipal

 
2.7

 

 
2.7

Corporate

 
720.2

 

 
720.2

Non-U.S. government-backed corporate

 

 

 

Non-U.S. government
68.2

 
197.2

 

 
265.4

Asset-backed

 
2.4

 

 
2.4

Agency mortgage-backed

 
49.4

 

 
49.4

Total fixed income securities trading, at fair value
215.9

 
971.9

 

 
1,187.8

Short-term investments trading, at fair value
4.5

 
5.0

 

 
9.5

Catastrophe bonds trading, at fair value

 
36.2

 

 
36.2

Other investments (1)

 

 

 
102.5

 
 
 
 
 
 
 
 
Other financial assets and liabilities, at fair value
 
 
 
 
 
 
 
Derivatives at fair value — foreign exchange contracts

 
14.6

 

 
14.6

Liabilities under derivative contracts — foreign exchange contracts

 
(15.1
)
 

 
(15.1
)
Loan notes issued by variable interest entities, at fair value (included within accrued expenses and other payables)

 

 
(4.6
)
 
(4.6
)
Total
$
1,986.3

 
$
4,583.0

 
$
(4.6
)
 
$
6,667.2

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, 2019 and December 31, 2018:
Twelve Months Ended December 31, 2019
 
Balance at beginning of year
 
Purchases and issuances
 
Settlements and sales
 
Increase/(decrease) in fair value included net income
 
Balance at end of year
 
Change in unrealized investment gains (losses) relating to assets held at end of year
Assets
 
 
 
 
 
 
 
 
 
 
 
 
Privately-held investments — trading
 
 
 
 
 
 
 
 
 
 
 
 
Commercial mortgage loans
 
$

 
$
174.7

 
$
(20.1
)
 
$
1.7

 
$
156.4

 
$
0.3

Middle market loans
 

 
115.5

 
(3.8
)
 
0.1

 
111.7

 

Asset-backed securities
 

 
8.7

 

 

 
8.7

 

Equity securities
 

 
2.7

 

 

 
2.7

 

Total Level 3 assets
 
$

 
$
301.5

 
$
(23.9
)
 
$
1.8

 
$
279.5

 
$
0.3

 
 
 
 
 
 
 
 
 
 
 
 
 
Liabilities
 
 
 
 
 
 
 
 
 
 
 
 
Loan notes issued by Silverton (1)
 
$
4.6

 
$

 
$
(7.7
)
 
$
3.1

 
$

 
$

Total Level 3 liabilities
 
$
4.6

 
$

 
$
(7.7
)
 
$
3.1

 
$

 
$

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Twelve Months Ended December 31, 2018
 
 
 
 
 
 
 
 
 
 
 
 
Liabilities
 
 
 
 
 
 
 
 
 
 
 
 
Loan notes issued by Silverton (1)
 
$
86.6

 
$

 
$
(86.4
)
 
$
4.4

 
$
4.6

 
$

Total Level 3 liabilities
 
$
86.6

 
$

 
$
(86.4
)
 
$
4.4

 
$
4.6

 
$

____________________
(1)
The amount classified as other payables was $Nil and $4.6 million as at December 31, 2019 and December 31, 2018, respectively.
Fair Value Inputs, and Valuation Techniques
he observable and unobservable inputs used to determine the fair value of the Loan Notes as at December 31, 2018.
 
At December 31, 2018
 
Fair Value
Level 3
 
Valuation Method
 
Observable (O) and
 Unobservable (U) inputs
 
Low
 
High
 
($ in millions)
 
 
 
 
($ in millions)
Loan Notes
 
$
4.6

(1) 
Internal Valuation Model
 
Gross premiums written (O)
 
$
50.1

 
$
61.1

 
 
 
 
 
 
Reserve for losses (U)
 
$
4.2

 
$
61.9

 
 
 
 
 
 
Contract period (O)
 
N/A

 
365 days

 
 
 
 
 
 
Initial value of issuance (O)
 
$
325.0

 
$
325.0

 ______________
(1)
The amount classified as other payables was $Nil and $4.6 million as at December 31, 2019 and December 31, 2018, respectively.
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, 2019:
At December 31, 2019
 
Fair Value
Level 3
 
Valuation Techniques
 

 Unobservable (U) inputs
 
Ranges
 
Weighted Average
 
($ in millions)
 
 
 
 
 
 
 
 
 
Privately-held investments — Trading
 
 
 
 
 
 
 
 
 
 
 
 
Commercial mortgage loans
 
$
125.7

 
Discounted cash flow
 
Discount rate
 
5.0%
 
6.3%
 
5.8%
   Commercial mortgage loans
 
30.9

 
Transaction Value
 
n/a
 
n/a
 
n/a
 
n/a
Middle market loans
 
111.7

 
Discounted cash flow
 
Discount rate
 
6.8%
 
10.3%
 
7.9%
   Asset-backed securities
 
8.7

 
Discounted cash flow
 
Discount rate
 
6.4%
 
6.4%
 
6.4%
Equity securities
 
$
2.7

 
Transaction Value
 
n/a
 
n/a
 
n/a
 
n/a
 
 
$
279.7