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Fair Value (Tables)
6 Months Ended
Jun. 30, 2015
Fair Value Disclosures [Abstract]  
Financial instruments measured at fair value and categorized between Levels 1, 2 and 3
At June 30, 2015 and December 31, 2014, the Company’s financial instruments measured at fair value were classified between Levels 1, 2 and 3 as follows (in thousands of U.S. dollars):
June 30, 2015
 
Quoted prices in
active markets for
identical assets
(Level 1)
 
Significant
other observable
inputs
(Level 2)
 
Significant
unobservable
inputs
(Level 3)
 
Total
Fixed maturities
 
 
 
 
 
 
 
 
U.S. government and government sponsored enterprises
 
$

 
$
2,335,450

 
$

 
$
2,335,450

U.S. states, territories and municipalities
 

 
569,848

 
112,221

 
682,069

Non-U.S. sovereign government, supranational and government related
 

 
1,491,495

 

 
1,491,495

Corporate
 

 
5,510,022

 

 
5,510,022

Asset-backed securities
 

 
678,594

 
411,649

 
1,090,243

Residential mortgage-backed securities
 

 
2,186,376

 

 
2,186,376

Other mortgage-backed securities
 

 
54,117

 

 
54,117

Fixed maturities
 
$

 
$
12,825,902

 
$
523,870

 
$
13,349,772

Short-term investments
 
$

 
$
19,244

 
$

 
$
19,244

Equities
 
 
 
 
 
 
 
 
Real estate investment trusts
 
$
189,202

 
$

 
$

 
$
189,202

Insurance
 
119,690

 
5,175

 

 
124,865

Consumer noncyclical
 
121,091

 

 

 
121,091

Finance
 
79,914

 
7,809

 
20,964

 
108,687

Energy
 
94,517

 

 

 
94,517

Industrials
 
60,073

 
9,219

 

 
69,292

Technology
 
48,775

 

 
9,215

 
57,990

Consumer cyclical
 
48,034

 

 

 
48,034

Communications
 
43,976

 

 
2,580

 
46,556

Utilities
 
25,966

 

 

 
25,966

Other
 
19,031

 

 

 
19,031

Mutual funds and exchange traded funds
 
92,397

 

 
8,923

 
101,320

Equities
 
$
942,666

 
$
22,203

 
$
41,682

 
$
1,006,551

Other invested assets
 
 
 
 
 
 
 
 
Derivative assets
 
 
 
 
 
 
 
 
Foreign exchange forward contracts
 
$

 
$
17,643

 
$

 
$
17,643

Insurance-linked securities
 

 

 
14

 
14

Total return swaps
 

 

 
233

 
233

TBAs
 

 
11

 

 
11

Other
 
 
 
 
 
 
 
 
Notes and loan receivables and notes securitization
 

 

 
65,450

 
65,450

Annuities and residuals
 

 

 
11,096

 
11,096

Private equities
 

 

 
71,543

 
71,543

Derivative liabilities
 
 
 
 
 
 
 
 
Foreign exchange forward contracts
 

 
(5,927
)
 

 
(5,927
)
Foreign currency option contracts
 

 
(946
)
 

 
(946
)
Futures contracts
 
(7,811
)
 

 

 
(7,811
)
Insurance-linked securities
 

 

 
(359
)
 
(359
)
Total return swaps
 

 

 
(2,298
)
 
(2,298
)
Interest rate swaps
 

 
(15,912
)
 

 
(15,912
)
TBAs
 

 
(1,609
)
 

 
(1,609
)
Other invested assets
 
$
(7,811
)
 
$
(6,740
)
 
$
145,679

 
$
131,128

Funds held – directly managed
 
 
 
 
 
 
 
 
U.S. government and government sponsored enterprises
 
$

 
$
157,909

 
$

 
$
157,909

Non-U.S. sovereign government, supranational and government related
 

 
109,934

 

 
109,934

Corporate
 

 
137,451

 

 
137,451

Short-term investments
 

 
7,047

 

 
7,047

Other invested assets
 

 

 
12,348

 
12,348

Funds held – directly managed
 
$

 
$
412,341

 
$
12,348

 
$
424,689

Total
 
$
934,855

 
$
13,272,950

 
$
723,579

 
$
14,931,384

December 31, 2014
 
Quoted prices in
active markets for
identical assets
(Level 1)
 
Significant other
observable
inputs
(Level 2)
 
Significant
unobservable
inputs
(Level 3)
 
Total
Fixed maturities
 
 
 
 
 
 
 
 
U.S. government and government sponsored enterprises
 
$

 
$
2,315,422

 
$

 
$
2,315,422

U.S. states, territories and municipalities
 

 
380,875

 
149,728

 
530,603

Non-U.S. sovereign government, supranational and government related
 

 
1,976,202

 

 
1,976,202

Corporate
 

 
5,604,160

 

 
5,604,160

Asset-backed securities
 

 
681,502

 
449,918

 
1,131,420

Residential mortgage-backed securities
 

 
2,306,476

 

 
2,306,476

Other mortgage-backed securities
 

 
54,462

 

 
54,462

Fixed maturities
 
$

 
$
13,319,099

 
$
599,646

 
$
13,918,745

Short-term investments
 
$

 
$
25,678

 
$

 
$
25,678

Equities
 
 
 
 
 
 
 
 
Real estate investment trusts
 
$
213,770

 
$

 
$

 
$
213,770

Insurance
 
140,916

 
4,521

 

 
145,437

Energy
 
123,978

 

 

 
123,978

Consumer noncyclical
 
100,134

 

 

 
100,134

Finance
 
70,621

 
7,354

 
20,353

 
98,328

Technology
 
52,707

 

 
8,555

 
61,262

Communications
 
51,829

 

 
2,640

 
54,469

Industrials
 
49,983

 

 

 
49,983

Consumer cyclical
 
39,002

 

 

 
39,002

Utilities
 
31,748

 

 

 
31,748

Other
 
11,571

 

 

 
11,571

Mutual funds and exchange traded funds
 
118,246

 

 
8,586

 
126,832

Equities
 
$
1,004,505

 
$
11,875

 
$
40,134

 
$
1,056,514

Other invested assets
 
 
 
 
 
 
 
 
Derivative assets
 
 
 
 
 
 
 
 
Foreign exchange forward contracts
 
$

 
$
20,033

 
$

 
$
20,033

Futures contracts
 
846

 

 

 
846

Insurance-linked securities
 

 

 
3

 
3

Total return swaps
 

 

 
485

 
485

TBAs
 

 
154

 

 
154

Other
 
 
 
 
 
 
 
 
Notes and loan receivables and notes securitization
 

 

 
44,817

 
44,817

Annuities and residuals
 

 

 
13,243

 
13,243

Private equities
 

 

 
59,872

 
59,872

Derivative liabilities
 
 
 
 
 
 
 
 
Foreign exchange forward contracts
 

 
(7,446
)
 

 
(7,446
)
Foreign currency option contracts
 

 
(1,196
)
 

 
(1,196
)
Futures contracts
 
(467
)
 

 

 
(467
)
Insurance-linked securities
 

 

 
(339
)
 
(339
)
Total return swaps
 

 

 
(2,007
)
 
(2,007
)
Interest rate swaps
 

 
(16,282
)
 

 
(16,282
)
TBAs
 

 
(240
)
 

 
(240
)
Other invested assets
 
$
379

 
$
(4,977
)
 
$
116,074

 
$
111,476

Funds held – directly managed
 
 
 
 
 
 
 
 
U.S. government and government sponsored enterprises
 
$

 
$
153,483

 
$

 
$
153,483

U.S. states, territories and municipalities
 

 

 
132

 
132

Non-U.S. sovereign government, supranational and government related
 

 
128,233

 

 
128,233

Corporate
 

 
177,347

 

 
177,347

Other invested assets
 

 

 
13,398

 
13,398

Funds held – directly managed
 
$

 
$
459,063

 
$
13,530

 
$
472,593

Total
 
$
1,004,884

 
$
13,810,738

 
$
769,384

 
$
15,585,006

Reconciliation of beginning and ending balances for all financial instruments measured at fair value using Level 3 inputs
The reconciliations of the beginning and ending balances for all financial instruments measured at fair value using Level 3 inputs for the three months ended June 30, 2015 and 2014, were as follows (in thousands of U.S. dollars):
For the three months ended June 30, 2015
 
Balance at
beginning
of period
 
Realized and
unrealized
investment
(losses) gains
included in
net loss
 
Purchases
and
issuances (1)
 
Settlements
and
sales (1)
 
Net
transfers
into/
(out of)
Level 3
 
Balance
at end
of period
 
Change in
unrealized
investment
(losses) gains
relating to
assets held at
end of period
Fixed maturities
 
 
 
 
 
 
 
 
 
 
 
 
 
 
U.S. states, territories and municipalities
 
$
147,683

 
$
(8,390
)
 
$
16,440

 
$
(43,512
)
 
$

 
$
112,221

 
$
(8,392
)
Asset-backed securities
 
451,583

 
(7,711
)
 
17,280

 
(49,503
)
 

 
411,649

 
(7,566
)
Fixed maturities
 
$
599,266

 
$
(16,101
)
 
$
33,720

 
$
(93,015
)
 
$

 
$
523,870

 
$
(15,958
)
Equities
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Finance
 
$
20,532

 
$
564

 
$

 
$
(132
)
 
$

 
$
20,964

 
$
564

Technology
 
8,602

 
613

 

 

 

 
9,215

 
613

Communications
 
2,723

 
(143
)
 

 

 

 
2,580

 
(143
)
Mutual funds and exchange traded funds
 
257,977

 
286

 

 
(249,340
)
 

 
8,923

 
286

Equities
 
$
289,834

 
$
1,320

 
$

 
$
(249,472
)
 
$

 
$
41,682

 
$
1,320

Other invested assets
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Derivatives, net
 
$
(1,377
)
 
$
(1,033
)
 
$

 
$

 
$

 
$
(2,410
)
 
$
(1,033
)
Notes and loan receivables and notes securitization
 
51,103

 
(540
)
 
16,271

 
(1,384
)
 

 
65,450

 
(541
)
Annuities and residuals
 
12,155

 
90

 

 
(1,149
)
 

 
11,096

 
91

Private equities
 
64,642

 
1,055

 
6,754

 
(908
)
 

 
71,543

 
906

Other invested assets
 
$
126,523

 
$
(428
)
 
$
23,025

 
$
(3,441
)
 
$

 
$
145,679

 
$
(577
)
Funds held – directly managed
 
 
 
 
 
 
 
 
 
 
 
 
 
 
U.S. states, territories and municipalities
 
$
132

 
$
68

 
$

 
$
(200
)
 
$

 
$

 
$

Other invested assets
 
12,008

 
340

 

 

 

 
12,348

 
340

Funds held – directly managed
 
$
12,140

 
$
408

 
$

 
$
(200
)
 
$

 
$
12,348

 
$
340

Total
 
$
1,027,763

 
$
(14,801
)
 
$
56,745

 
$
(346,128
)
 
$

 
$
723,579

 
$
(14,875
)

 
(1)
There were no issuances or sales for the three months ended June 30, 2015.
For the three months ended June 30, 2014
 
Balance at
beginning
of period
 
Realized and
unrealized
investment
gains (losses)
included in
net income
 
Purchases
and
issuances (1)
 
Settlements
and
sales (2)
 
Net
transfers
into/(out of)
Level 3
 
Balance
at end of
period
 
Change in
unrealized
investment
gains (losses)
relating to
assets held at
end of period
Fixed maturities
 
 
 
 
 
 
 
 
 
 
 
 
 
 
U.S. states, territories and municipalities
 
$
113,467

 
$
5,960

 
$
4,260

 
$
(70
)
 
$

 
$
123,617

 
$
5,959

Asset-backed securities
 
447,701

 
3,141

 
68,035

 
(29,771
)
 

 
489,106

 
3,184

Fixed maturities
 
$
561,168

 
$
9,101

 
$
72,295

 
$
(29,841
)
 
$

 
$
612,723

 
$
9,143

Equities
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Finance
 
$
22,706

 
$
(3,142
)
 
$

 
$

 
$

 
$
19,564

 
$
(3,142
)
Communications
 
2,111

 
(44
)
 

 

 

 
2,067

 
(44
)
Technology
 
7,400

 
245

 

 

 

 
7,645

 
245

Other
 

 
(1
)
 
8

 

 

 
7

 
(1
)
Mutual funds and exchange traded funds
 
8,053

 
193

 

 

 

 
8,246

 
193

Equities
 
$
40,270

 
$
(2,749
)
 
$
8

 
$

 
$

 
$
37,529

 
$
(2,749
)
Other invested assets
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Derivatives, net
 
$
(1,042
)
 
$
398

 
$
(208
)
 
$

 
$

 
$
(852
)
 
$
398

Notes and loan receivables and notes securitization
 
42,243

 
2,967

 
2,196

 
(8,803
)
 

 
38,603

 
4,486

Annuities and residuals
 
18,945

 
302

 

 
(2,113
)
 

 
17,134

 
303

Private equities
 
42,655

 
(2,264
)
 
15,478

 
(941
)
 

 
54,928

 
(2,264
)
Other invested assets
 
$
102,801

 
$
1,403

 
$
17,466

 
$
(11,857
)
 
$

 
$
109,813

 
$
2,923

Funds held – directly managed
 
 
 
 
 
 
 
 
 
 
 
 
 
 
U.S. states, territories and municipalities
 
$
301

 
$
4

 
$

 
$

 
$

 
$
305

 
$
4

Other invested assets
 
15,223

 
577

 

 

 

 
15,800

 
577

Funds held – directly managed
 
$
15,524

 
$
581

 
$

 
$

 
$

 
$
16,105

 
$
581

Total
 
$
719,763

 
$
8,336

 
$
89,769

 
$
(41,698
)
 
$

 
$
776,170

 
$
9,898

 
 
(1)
Purchases and issuances of derivatives include issuances of $0.2 million.
(2)
There were no sales for the three months ended June 30, 2014.

The reconciliations of the beginning and ending balances for all financial instruments measured at fair value using Level 3 inputs for the six months ended June 30, 2015 and 2014, were as follows (in thousands of U.S. dollars):
For the six months ended June 30, 2015
 
Balance at
beginning
of period
 
Realized and
unrealized
investment
(losses) gains
included in
net income
 
Purchases
and
issuances (1)
 
Settlements
and
sales
 (1)
 
Net
transfers
into/(out of)
Level 3
 
Balance
at end of
period
 
Change in
unrealized
investment (losses) gains
relating to
assets held at
end of period
Fixed maturities
 
 
 
 
 
 
 
 
 
 
 
 
 
 
U.S. states, territories and municipalities
 
$
149,728

 
$
(10,251
)
 
$
16,440

 
$
(43,696
)
 
$

 
$
112,221

 
$
(10,258
)
Asset-backed securities
 
449,918

 
(6,450
)
 
60,702

 
(92,521
)
 

 
411,649

 
(6,187
)
Fixed maturities
 
$
599,646

 
$
(16,701
)
 
$
77,142

 
$
(136,217
)
 
$

 
$
523,870

 
$
(16,445
)
Equities
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Finance
 
$
20,353

 
$
743

 
$

 
$
(132
)
 
$

 
$
20,964

 
$
743

Technology
 
8,555

 
660

 

 

 

 
9,215

 
660

Communications
 
2,640

 
(60
)
 

 

 

 
2,580

 
(60
)
Mutual funds and exchange traded funds
 
8,586

 
337

 
249,340

 
(249,340
)
 

 
8,923

 
337

Equities
 
$
40,134

 
$
1,680

 
$
249,340

 
$
(249,472
)
 
$

 
$
41,682

 
$
1,680

Other invested assets
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Derivatives, net
 
$
(1,858
)
 
$
(552
)
 
$

 
$

 
$

 
$
(2,410
)
 
$
(552
)
Notes and loan receivables and notes securitization
 
44,817

 
564

 
22,682

 
(2,613
)
 

 
65,450

 
2,082

Annuities and residuals
 
13,243

 
321

 

 
(2,468
)
 

 
11,096

 
321

Private equities
 
59,872

 
1,552

 
11,938

 
(1,819
)
 

 
71,543

 
1,404

Other invested assets
 
$
116,074

 
$
1,885

 
$
34,620

 
$
(6,900
)
 
$

 
$
145,679

 
$
3,255

Funds held – directly managed
 
 
 
 
 
 
 
 
 
 
 
 
 
 
U.S. states, territories and municipalities
 
$
132

 
$
68

 
$

 
$
(200
)
 
$

 
$

 
$

Other invested assets
 
13,398

 
(1,050
)
 

 

 

 
12,348

 
(1,050
)
Funds held – directly managed
 
$
13,530

 
$
(982
)
 
$

 
$
(200
)
 
$

 
$
12,348

 
$
(1,050
)
Total
 
$
769,384

 
$
(14,118
)
 
$
361,102

 
$
(392,789
)
 
$

 
$
723,579

 
$
(12,560
)
 
(1)
There were no issuances or sales for the six months ended June 30, 2015.
For the six months ended June 30, 2014
 
Balance at
beginning
of period
 
Realized and
unrealized
investment
gains (losses)
included in
net income
 
Purchases
and
issuances (1)
 
Settlements
and
sales
(2)
 
Net
transfers
into/(out of)
Level 3
 
Balance
at end of
period
 
Change in
unrealized
investment 
gains (losses) relating to
assets held at
end of period
Fixed maturities
 
 
 
 
 
 
 
 
 
 
 
 
 
 
U.S. states, territories and municipalities
 
$
108,380

 
$
6,852

 
$
8,525

 
$
(140
)
 
$

 
$
123,617

 
$
6,849

Asset-backed securities
 
446,577

 
9,137

 
127,453

 
(94,061
)
 

 
489,106

 
9,444

Fixed maturities
 
$
554,957

 
$
15,989

 
$
135,978

 
$
(94,201
)
 
$

 
$
612,723

 
$
16,293

Equities
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Finance
 
20,207

 
(643
)
 

 

 

 
19,564

 
(643
)
Communications
 
2,199

 
(132
)
 

 

 

 
2,067

 
(132
)
Technology
 
7,752

 
(107
)
 

 

 

 
7,645

 
(107
)
Other
 

 
(1
)
 
8

 

 

 
7

 
(1
)
Mutual funds and exchange traded funds
 
7,887

 
359

 

 

 

 
8,246

 
359

Equities
 
$
38,045

 
$
(524
)
 
$
8

 
$

 
$

 
$
37,529

 
$
(524
)
Other invested assets
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Derivatives, net
 
$
(788
)
 
$
864

 
$
(928
)
 
$

 
$

 
$
(852
)
 
$
864

Notes and loan receivables and notes securitization
 
41,446

 
3,567

 
2,916

 
(9,326
)
 

 
38,603

 
5,086

Annuities and residuals
 
24,064

 
391

 

 
(7,321
)
 

 
17,134

 
431

Private equities
 
39,131

 
(1,831
)
 
20,544

 
(2,916
)
 

 
54,928

 
(1,863
)
Other invested assets
 
$
103,853

 
$
2,991

 
$
22,532

 
$
(19,563
)
 
$

 
$
109,813

 
$
4,518

Funds held – directly managed
 
 
 
 
 
 
 
 
 
 
 
 
 
 
U.S. states, territories and municipalities
 
$
286

 
$
19

 
$

 
$

 
$

 
$
305

 
$
19

Other invested assets
 
15,165

 
380

 
255

 

 

 
15,800

 
380

Funds held – directly managed
 
$
15,451

 
$
399

 
$
255

 
$

 
$

 
$
16,105

 
$
399

Total
 
$
712,306

 
$
18,855

 
$
158,773

 
$
(113,764
)
 
$

 
$
776,170

 
$
20,686

 
(1) Purchases and issuances of derivatives include issuances of $0.9 million.
(2) There were no sales for the six months ended June 30, 2014.
Fair Value Inputs, Assets, Quantitative Information [Table Text Block]
The significant unobservable inputs used in the valuation of financial instruments measured at fair value using Level 3 inputs at June 30, 2015 and December 31, 2014 were as follows (fair value in thousands of U.S. dollars):
June 30, 2015
 
Fair value
 
Valuation techniques
 
Unobservable inputs
 
Range
(Weighted average)
Fixed maturities
 
 
 
 
 
 
 
 
U.S. states, territories and municipalities
 
$
112,221

 
Discounted cash flow
 
Credit spreads
 
2.5% – 11.5% (7.2%)
Asset-backed securities – other
 
411,649

 
Discounted cash flow
 
Credit spreads
 
4.0% – 12.1% (7.6%)
Equities
 
 
 
 
 
 
 
 
Finance
 
14,570

 
Weighted market comparables
 
Net income multiple
 
14.4 (14.4)
 
 
 
 
 
Tangible book value multiple
 
1.5 (1.5)
 
 
 
 
 
 
Liquidity discount
 
25.0% (25.0%)
 
 
 
 
 
 
Comparable return
 
0% (0%)
Finance
 
6,394

 
Profitability analysis
 
Projected return on equity
 
14.0% (14.0%)
Technology
 
9,215

 
Weighted market comparables
 
Revenue multiple
 
1.8 (1.8)
 
 
 
 
 
Adjusted earnings multiple
 
10.7 (10.7)
Communications
 
2,580

 
Weighted market comparables
 
Adjusted earnings multiple
 
9.4 (9.4)
 
 
 
 
 
Comparable return
 
-2.2% (-2.2%)
Other invested assets
 
 
 
 
 
 
 
 
Total return swaps
 
(2,065
)
 
Discounted cash flow
 
Credit spreads
 
4.0% – 21.7% (20.0%)
Notes and loan receivables
 
21,296

 
Discounted cash flow
 
Credit spreads
 
6.4% – 13.4% (8.9%)
Notes and loan receivables
 
12,599

 
Discounted cash flow
 
Credit spreads
 
17.5% (17.5%)
 
 
 
 
Gross revenue/fair value
 
1.4 – 1.6 (1.6)
Notes securitization
 
31,555

 
Discounted cash flow
 
Credit spreads
 
4.3% – 6.7% (6.6%)
Annuities and residuals
 
11,096

 
Discounted cash flow
 
Credit spreads
 
5.1% – 8.8% (7.7%)
 
 
 
 
 
 
Prepayment speed
 
0% – 15.0% (2.9%)
 
 
 
 
 
 
Constant default rate
 
0.3% – 17.5% (5.0%)
Private equity – direct
 
9,552

 
Discounted cash flow and weighted market comparables
 
Net income multiple
 
9.6 (9.6)
 
 
 
 
 
Tangible book value multiple
 
2.1 (2.1)
 
 
 
 
 
Recoverability of intangible assets
 
0% (0%)
Private equity funds
 
26,704

 
Reported market value
 
Net asset value, as reported
 
100.0% (100.0%)
 
 
 
 
 
Market adjustments
 
-10.1% – 1.1% (-0.8%)
Private equity – other
 
35,287

 
Discounted cash flow
 
Effective yield
 
5.8% (5.8%)
Funds held – directly managed
 
 
 
 
 
 
 
 
Other invested assets
 
12,348

 
Reported market value
 
Net asset value, as reported
 
100.0% (100.0%)
 
 
 
 
 
Market adjustments
 
-7.0% – 0% (-6.1%)
December 31, 2014
 
Fair value
 
Valuation techniques
 
Unobservable inputs
 
Range
(Weighted average)
Fixed maturities
 
 
 
 
 
 
 
 
U.S. states, territories and municipalities
 
$
149,728

 
Discounted cash flow
 
Credit spreads
 
2.2% – 10.1% (4.6%)
Asset-backed securities – other
 
449,918

 
Discounted cash flow
 
Credit spreads
 
4.0% – 12.1% (7.1%)
Equities
 
 
 
 
 
 
 
 
Finance
 
14,561

 
Weighted market comparables
 
Net income multiple
 
19.0 (19.0)
 
 
 
 
 
Tangible book value multiple
 
1.3 (1.3)
 
 
 
 
 
 
Liquidity discount
 
25.0% (25.0%)
 
 
 
 
 
 
Comparable return
 
7.3% (7.3%)
Finance
 
5,792

 
Profitability analysis
 
Projected return on equity
 
14.0% (14.0%)
Technology
 
8,555

 
Weighted market comparables
 
Revenue multiple
 
1.6 (1.6)
 
 
 
 
 
Adjusted earnings multiple
 
10.2 (10.2)
Communications
 
2,640

 
Weighted market comparables
 
Adjusted earnings multiple
 
9.4 (9.4)
 
 
 
 
 
Comparable return
 
-10.6% (-10.6%)
Other invested assets
 
 
 
 
 
 
 
 
Total return swaps
 
(1,522
)
 
Discounted cash flow
 
Credit spreads
 
3.6% – 19.3% (16.3%)
Notes and loan receivables
 
8,068

 
Discounted cash flow
 
Credit spreads
 
12.6% (12.6%)
Notes and loan receivables
 
13,237

 
Discounted cash flow
 
Credit spreads
 
17.5% (17.5%)
 
 
 
 
Gross revenue/fair value
 
1.5 – 1.7 (1.7)
Notes securitization
 
23,512

 
Discounted cash flow
 
Credit spreads
 
3.5% – 6.6% (6.4%)
Annuities and residuals
 
13,243

 
Discounted cash flow
 
Credit spreads
 
4.9% – 9.6% (7.8%)
 
 
 
 
 
 
Prepayment speed
 
0% – 15.0% (4.3%)
 
 
 
 
 
 
Constant default rate
 
0.3% – 17.5% (6.3%)
Private equity – direct
 
8,536

 
Discounted cash flow and weighted market comparables
 
Net income multiple
 
9.0 (9.0)
 
 
 
 
 
Tangible book value multiple
 
2.0 (2.0)
 
 
 
 
 
Recoverability of intangible assets
 
0% (0%)
Private equity funds
 
18,494

 
Reported market value
 
Net asset value, as reported
 
100.0% (100.0%)
 
 
 
 
 
Market adjustments
 
-7.6% – 11.0% (-1.6%)
Private equity – other
 
32,842

 
Discounted cash flow
 
Effective yield
 
5.8% (5.8%)
Funds held – directly managed
 
 
 
 
 
 
 
 
Other invested assets
 
13,398

 
Reported market value
 
Net asset value, as reported
 
100.0% (100.0%)
 
 
 
 
 
Market adjustments
 
-15.4% – 0% (-14.5%)
Change in fair value of financial instruments subject to fair value option
Changes in the fair value of the Company’s financial instruments subject to the fair value option during the three months and six months ended June 30, 2015 and 2014 were as follows (in thousands of U.S. dollars):
 
For the three months ended
 
For the six months ended
 
June 30, 2015
 
June 30, 2014
 
June 30, 2015
 
June 30, 2014
Fixed maturities and short-term investments
$
(253,918
)
 
$
123,434

 
$
(176,947
)
 
$
243,233

Equities
(45,523
)
 
6,322

 
(52,539
)
 
16,647

Other invested assets
880

 
2,515

 
2,713

 
3,558

Funds held – directly managed
(6,298
)
 
741

 
(3,758
)
 
1,477

Total
$
(304,859
)
 
$
133,012

 
$
(230,531
)
 
$
264,915

Carrying values and fair values of financial instrument liabilities
The carrying values and fair values of the Senior Notes and CENts at June 30, 2015 and December 31, 2014 were as follows (in thousands of U.S. dollars):
 
June 30, 2015
 
December 31, 2014
 
Carrying Value
 
Fair Value
 
Carrying Value
 
Fair Value
Debt related to Senior Notes (1)
$
750,000

 
$
839,877

 
$
750,000

 
$
853,792

Debt related to CENts (2)
63,384

 
62,515

 
63,384

 
62,309

 
 
(1)
PartnerRe Finance A LLC and PartnerRe Finance B LLC, the issuers of the Senior Notes, do not meet consolidation requirements under U.S. GAAP. Accordingly, the Company shows the related intercompany debt of $750 million in its Condensed Consolidated Balance Sheets at June 30, 2015 and December 31, 2014.
(2)
PartnerRe Finance II Inc., the issuer of the CENts, does not meet consolidation requirements under U.S. GAAP. Accordingly, the Company shows the related intercompany debt of $71 million in its Condensed Consolidated Balance Sheets at June 30, 2015 and December 31, 2014.