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Investments
3 Months Ended
Mar. 31, 2016
Investments [Abstract]  
Investments
Investments
Fixed Maturity and Equity Securities Available-for-Sale
The following tables provide information relating to investments in fixed maturity and equity securities by sector as of March 31, 2016 and December 31, 2015 (dollars in thousands):
March 31, 2016:
 
Amortized
 
Unrealized
 
Unrealized
 
Estimated Fair
 
% of
 
Other-than-
temporary impairments
 
 
Cost
 
Gains
 
Losses
 
Value
 
Total
 
in AOCI
Available-for-sale:
 
 
 
 
 
 
 
 
 
 
 
 
Corporate securities
 
$
17,926,454

 
$
872,226

 
$
286,632

 
$
18,512,048

 
59.5
%
 
$

Canadian and Canadian provincial governments
 
2,611,654

 
1,269,576

 
113

 
3,881,117

 
12.5

 

Residential mortgage-backed securities
 
1,330,894

 
61,124

 
11,121

 
1,380,897

 
4.4

 
(300
)
Asset-backed securities
 
1,319,616

 
10,462

 
40,697

 
1,289,381

 
4.1

 
354

Commercial mortgage-backed securities
 
1,466,500

 
47,907

 
6,224

 
1,508,183

 
4.8

 
(1,609
)
U.S. government and agencies
 
1,469,170

 
40,859

 
2,949

 
1,507,080

 
4.8

 

State and political subdivisions
 
506,521

 
53,761

 
8,039

 
552,243

 
1.8

 

Other foreign government, supranational and foreign government-sponsored enterprises
 
2,404,465

 
134,991

 
21,691

 
2,517,765

 
8.1

 

Total fixed maturity securities
 
$
29,035,274

 
$
2,490,906

 
$
377,466

 
$
31,148,714

 
100.0
%
 
$
(1,555
)
Non-redeemable preferred stock
 
$
83,427

 
$
2,768

 
$
8,110

 
$
78,085

 
66.2
%
 
 
Other equity securities
 
40,595

 
150

 
954

 
39,791

 
33.8

 
 
Total equity securities
 
$
124,022

 
$
2,918

 
$
9,064

 
$
117,876

 
100.0
%
 
 
 
December 31, 2015:
 
Amortized
 
Unrealized
 
Unrealized
 
Estimated Fair
 
% of
 
Other-than-
temporary impairments
 
 
Cost
 
Gains
 
Losses
 
Value
 
Total
 
in AOCI
Available-for-sale:
 
 
 
 
 
 
 
 
 
 
 
 
Corporate securities
 
$
17,575,507

 
$
599,718

 
$
467,069

 
$
17,708,156

 
59.7
%
 
$

Canadian and Canadian provincial governments
 
2,469,009

 
1,110,282

 
2,532

 
3,576,759

 
12.1

 

Residential mortgage-backed securities
 
1,277,998

 
45,152

 
11,673

 
1,311,477

 
4.4

 
(300
)
Asset-backed securities
 
1,219,000

 
12,052

 
18,376

 
1,212,676

 
4.1

 
354

Commercial mortgage-backed securities
 
1,456,848

 
37,407

 
11,168

 
1,483,087

 
5.0

 
(1,609
)
U.S. government and agencies
 
1,423,791

 
15,586

 
57,718

 
1,381,659

 
4.7

 

State and political subdivisions
 
480,067

 
40,014

 
9,067

 
511,014

 
1.7

 

Other foreign government, supranational and foreign government-sponsored enterprises
 
2,420,757

 
78,964

 
41,644

 
2,458,077

 
8.3

 

Total fixed maturity securities
 
$
28,322,977

 
$
1,939,175

 
$
619,247

 
$
29,642,905

 
100.0
%
 
$
(1,555
)
Non-redeemable preferred stock
 
$
85,645

 
$
7,837

 
$
5,962

 
$
87,520

 
69.5
%
 
 
Other equity securities
 
40,584

 

 
2,242

 
38,342

 
30.5

 
 
Total equity securities
 
$
126,229

 
$
7,837

 
$
8,204

 
$
125,862

 
100.0
%
 
 

The Company enters into various collateral arrangements with counterparties that require both the pledging and acceptance of fixed maturity securities as collateral. Pledged fixed maturity securities are included in fixed maturity securities, available-for-sale in the condensed consolidated balance sheets. Fixed maturity securities received as collateral are held in separate custodial accounts and are not recorded on the Company’s condensed consolidated balance sheets. Subject to certain constraints, the Company is permitted by contract to sell or repledge collateral it receives; however, as of March 31, 2016 and December 31, 2015, none of the collateral received had been sold or repledged. The Company also holds securities in trust to satisfy collateral requirements under certain third-party reinsurance treaties. The following table includes fixed maturity securities pledged and received as collateral and assets in trust held to satisfy collateral requirements under certain third-party reinsurance treaties as of March 31, 2016 and December 31, 2015 (dollars in thousands):

 
March 31, 2016
 
December 31, 2015
 
Amortized
Cost
 
Estimated
Fair Value
 
Amortized
Cost
 
Estimated
Fair Value
Fixed maturity securities pledged as collateral
$
192,718

 
$
204,980

 
$
169,678

 
$
176,782

Fixed maturity securities received as collateral
n/a

 
261,601

 
n/a

 
242,914

Securities held in trust
10,698,579

 
11,345,193

 
10,535,729

 
10,928,393


The Company monitors its concentrations of financial instruments on an ongoing basis and mitigates credit risk by maintaining a diversified investment portfolio which limits exposure to any one issuer. The Company’s exposure to concentrations of credit risk from single issuers greater than 10% of the Company’s stockholders’ equity included securities of the U.S. government and its agencies as well as the securities disclosed below as of March 31, 2016 and December 31, 2015 (dollars in thousands).
 
March 31, 2016
 
December 31, 2015
 
Amortized
Cost
 
Estimated
Fair Value
 
Amortized
Cost
 
Estimated
Fair Value
Fixed maturity securities guaranteed or issued by:
 
 
 
 
 
 
 
Canadian province of Ontario
$
892,870

 
$
1,257,794

 
$
864,444

 
$
1,199,080

Canadian province of Quebec
1,013,019

 
1,702,423

 
943,484

 
1,525,903


The amortized cost and estimated fair value of fixed maturity securities classified as available-for-sale at March 31, 2016 are shown by contractual maturity in the table below (dollars in thousands). Actual maturities can differ from contractual maturities because borrowers may have the right to call or prepay obligations with or without call or prepayment penalties. Asset and mortgage-backed securities are shown separately in the table below, as they are not due at a single maturity date.
 
 
Amortized Cost
 
Estimated Fair Value
Available-for-sale:
 
 
 
 
Due in one year or less
 
$
802,218

 
$
809,704

Due after one year through five years
 
5,606,886

 
5,828,982

Due after five years through ten years
 
8,633,420

 
8,985,775

Due after ten years
 
9,875,740

 
11,345,792

Asset and mortgage-backed securities
 
4,117,010

 
4,178,461

Total
 
$
29,035,274

 
$
31,148,714


Corporate Fixed Maturity Securities
The tables below show the major industry types of the Company’s corporate fixed maturity holdings as of March 31, 2016 and December 31, 2015 (dollars in thousands): 
March 31, 2016:
 
 
 
Estimated
 
 
 
 
Amortized Cost    
 
Fair Value
 
% of Total           
Finance
 
$
5,818,427

 
$
6,026,229

 
32.6
%
Industrial
 
10,147,913

 
10,396,101

 
56.1

Utility
 
1,960,114

 
2,089,718

 
11.3

Total
 
$
17,926,454

 
$
18,512,048

 
100.0
%
 
 
 
 
 
 
 
December 31, 2015:
 
 
 
Estimated
 
 
 
 
Amortized Cost
 
Fair Value
 
% of Total
Finance
 
$
5,408,791

 
$
5,555,044

 
31.4
%
Industrial
 
10,211,426

 
10,129,917

 
57.2

Utility
 
1,955,290

 
2,023,195

 
11.4

Total
 
$
17,575,507

 
$
17,708,156

 
100.0
%

Other-Than-Temporary Impairments - Fixed Maturity and Equity Securities
As discussed in Note 2 – “Summary of Significant Accounting Policies” of the 2015 Annual Report, a portion of certain other-than-temporary impairment (“OTTI”) losses on fixed maturity securities is recognized in AOCI. For these securities, the net amount recognized in the condensed consolidated statements of income (“credit loss impairments”) represents the difference between the amortized cost of the security and the net present value of its projected future cash flows discounted at the effective interest rate implicit in the debt security prior to impairment. Any remaining difference between the fair value and amortized cost is recognized in AOCI. The amount of pre-tax credit loss impairments on fixed maturity securities held by the Company, for which a portion of the OTTI loss was recognized in AOCI, was $7.3 million as of March 31, 2016 and 2015. There were no changes in these amounts from their respective prior-year ending balances.
Unrealized Losses for Fixed Maturity and Equity Securities Available-for-Sale
The following table presents the total gross unrealized losses for the 1,450 and 2,080 fixed maturity and equity securities as of March 31, 2016 and December 31, 2015, respectively, where the estimated fair value had declined and remained below amortized cost by the indicated amount (dollars in thousands):
 
 
March 31, 2016
 
December 31, 2015
 
 
Gross
Unrealized
Losses
 
% of Total    
 
Gross
Unrealized
Losses
 
% of Total    
Less than 20%
 
$
275,128

 
71.2
%
 
$
463,109

 
73.8
%
20% or more for less than six months
 
69,739

 
18.0

 
142,495

 
22.7

20% or more for six months or greater
 
41,663

 
10.8

 
21,847

 
3.5

Total
 
$
386,530

 
100.0
%
 
$
627,451

 
100.0
%

The Company’s determination of whether a decline in value is other-than-temporary includes analysis of the underlying credit and the extent and duration of a decline in value. The Company’s credit analysis of an investment includes determining whether the issuer is current on its contractual payments, evaluating whether it is probable that the Company will be able to collect all amounts due according to the contractual terms of the security and analyzing the overall ability of the Company to recover the amortized cost of the investment. In the Company’s impairment review process, the duration and severity of an unrealized loss position for equity securities are given greater weight and consideration given the lack of contractual cash flows or deferability features.
The following tables present the estimated fair values and gross unrealized losses, including other-than-temporary impairment losses reported in AOCI, for 1,450 and 2,080 fixed maturity and equity securities that have estimated fair values below amortized cost as of March 31, 2016 and December 31, 2015, respectively (dollars in thousands). These investments are presented by class and grade of security, as well as the length of time the related fair value has remained below amortized cost.
 
 
 
Less than 12 months
 
12 months or greater
 
Total
 
 
 
 
Gross
 
 
 
Gross
 
 
 
Gross
March 31, 2016:
 
Estimated
 
Unrealized
 
Estimated
 
Unrealized
 
Estimated
 
Unrealized
 
 
Fair Value
 
Losses
 
Fair Value
 
Losses
 
Fair Value
 
Losses
Investment grade securities:
 
 
 
 
 
 
 
 
 
 
 
 
Corporate securities
 
$
2,082,050

 
$
79,986

 
$
1,557,209

 
$
112,210

 
$
3,639,259

 
$
192,196

Canadian and Canadian provincial governments
 
49,560

 
113

 

 

 
49,560

 
113

Residential mortgage-backed securities
 
217,618

 
5,773

 
104,341

 
4,456

 
321,959

 
10,229

Asset-backed securities
 
629,257

 
25,390

 
237,331

 
12,243

 
866,588

 
37,633

Commercial mortgage-backed securities
 
256,118

 
3,936

 
52,341

 
1,995

 
308,459

 
5,931

U.S. government and agencies
 
129,048

 
801

 
70,288

 
2,148

 
199,336

 
2,949

State and political subdivisions
 
14,632

 
510

 
55,295

 
7,529

 
69,927

 
8,039

Other foreign government, supranational and foreign government-sponsored enterprises
 
107,785

 
3,274

 
115,085

 
5,922

 
222,870

 
9,196

Total investment grade securities
 
3,486,068

 
119,783

 
2,191,890

 
146,503

 
5,677,958

 
266,286

 
Below investment grade securities:
 
 
 
 
 
 
 
 
 
 
 
 
Corporate securities
 
573,014

 
65,766

 
137,674

 
28,670

 
710,688

 
94,436

Residential mortgage-backed securities
 
22,774

 
411

 
10,445

 
481

 
33,219

 
892

Asset-backed securities
 
6,506

 
1,368

 
8,818

 
1,696

 
15,324

 
3,064

Commercial mortgage-backed securities
 

 

 
3,207

 
293

 
3,207

 
293

Other foreign government, supranational and foreign government-sponsored enterprises
 
36,134

 
2,482

 
58,897

 
10,013

 
95,031

 
12,495

Total below investment grade securities
 
638,428

 
70,027

 
219,041

 
41,153

 
857,469

 
111,180

Total fixed maturity securities
 
$
4,124,496

 
$
189,810

 
$
2,410,931

 
$
187,656

 
$
6,535,427

 
$
377,466

Non-redeemable preferred stock
 
$
15,334

 
$
356

 
$
22,821

 
$
7,754

 
$
38,155

 
$
8,110

Other equity securities
 
13,263

 
702

 
11,649

 
252

 
24,912

 
954

Total equity securities
 
$
28,597

 
$
1,058

 
$
34,470

 
$
8,006

 
$
63,067

 
$
9,064

 
 
Less than 12 months
 
12 months or greater
 
Total
 
 
 
 
Gross
 
 
 
Gross
 
 
 
Gross
December 31, 2015:
 
Estimated
 
Unrealized
 
Estimated
 
Unrealized
 
Estimated
 
Unrealized
 
 
Fair Value
 
Losses
 
Fair Value
 
Losses
 
Fair Value
 
Losses
Investment grade securities:
 
 
 
 
 
 
 
 
 
 
 
 
Corporate securities
 
$
6,388,148

 
$
323,961

 
$
294,755

 
$
40,861

 
$
6,682,903

 
$
364,822

Canadian and Canadian provincial governments
 
122,746

 
2,532

 

 

 
122,746

 
2,532

Residential mortgage-backed securities
 
452,297

 
7,036

 
82,314

 
4,057

 
534,611

 
11,093

Asset-backed securities
 
581,701

 
9,825

 
199,298

 
7,100

 
780,999

 
16,925

Commercial mortgage-backed securities
 
514,877

 
9,806

 
31,177

 
997

 
546,054

 
10,803

U.S. government and agencies
 
1,010,387

 
57,718

 

 

 
1,010,387

 
57,718

State and political subdivisions
 
157,837

 
5,349

 
13,016

 
3,718

 
170,853

 
9,067

Other foreign government, supranational and foreign government-sponsored enterprises
 
702,962

 
18,279

 
38,379

 
4,206

 
741,341

 
22,485

Total investment grade securities
 
9,930,955

 
434,506

 
658,939

 
60,939

 
10,589,894

 
495,445

Below investment grade securities:
 
 
 
 
 
 
 
 
 
 
 
 
Corporate securities
 
554,688

 
71,171

 
114,427

 
31,076

 
669,115

 
102,247

Residential mortgage-backed securities
 
22,646

 
282

 
7,679

 
298

 
30,325

 
580

Asset-backed securities
 
6,772

 
201

 
9,335

 
1,250

 
16,107

 
1,451

Commercial mortgage-backed securities
 
3,253

 
248

 
767

 
117

 
4,020

 
365

Other foreign government, supranational and foreign government-sponsored enterprises
 
60,668

 
7,356

 
31,693

 
11,803

 
92,361

 
19,159

Total below investment grade securities
 
648,027

 
79,258

 
163,901

 
44,544

 
811,928

 
123,802

Total fixed maturity securities
 
$
10,578,982

 
$
513,764

 
$
822,840


$
105,483

 
$
11,401,822

 
$
619,247

Non-redeemable preferred stock
 
$
12,331

 
$
2,175

 
$
12,191

 
$
3,787

 
$
24,522

 
$
5,962

Other equity securities
 
38,327

 
2,242

 

 

 
38,327

 
2,242

Total equity securities
 
$
50,658

 
$
4,417

 
$
12,191


$
3,787

 
$
62,849

 
$
8,204


The Company has no intention to sell, nor does it expect to be required to sell, the securities outlined in the table above, as of the dates indicated. However, unforeseen facts and circumstances may cause the Company to sell fixed maturity and equity securities in the ordinary course of managing its portfolio to meet certain diversification, credit quality and liquidity guidelines.
Unrealized losses on below investment grade securities as of March 31, 2016 are primarily related to high-yield corporate and other foreign government, supranational and foreign government-sponsored enterprise securities. Unrealized losses decreased across most security types as treasury rates decreased during the first three months of 2016.

Investment Income, Net of Related Expenses
Major categories of investment income, net of related expenses, consist of the following (dollars in thousands):
 
 
Three months ended March 31,
 
2016
 
2015
Fixed maturity securities available-for-sale
$
312,414

 
$
269,768

Mortgage loans on real estate
39,792

 
34,772

Policy loans
16,134

 
14,040

Funds withheld at interest
55,980

 
112,260

Short-term investments
975

 
695

Other invested assets
9,824

 
12,027

Investment income
435,119

 
443,562

Investment expense
(17,853
)
 
(16,671
)
Investment income, net of related expenses
$
417,266

 
$
426,891


Investment Related Gains (Losses), Net
Investment related gains (losses), net consist of the following (dollars in thousands): 
 
Three months ended March 31,
 
2016
 
2015
Fixed maturity and equity securities available for sale:
 
 
 
Other-than-temporary impairment losses on fixed maturity securities recognized in earnings
$
(33,817
)
 
$
(2,527
)
Gain on investment activity
27,192

 
19,201

Loss on investment activity
(11,787
)
 
(13,596
)
Other impairment losses and change in mortgage loan provision
(2,060
)
 
(4,168
)
Derivatives and other, net
(100,414
)
 
8,673

Total investment related gains (losses), net
$
(120,886
)
 
$
7,583


The fixed maturity impairments for the three months ended March 31, 2016 and 2015 were largely related to high-yield energy and emerging market corporate securities. The fluctuations in investment related gains (losses) for derivatives and other for the three months ended March 31, 2016, compared to the same period in 2015, are primarily due to changes in the fair value of embedded derivatives related to modified coinsurance and funds withheld treaties.
During the three months ended March 31, 2016 and 2015, the Company sold fixed maturity and equity securities with fair values of $242.6 million and $199.6 million at losses of $11.8 million and $13.6 million, respectively. The Company generally does not buy and sell securities on a short-term basis.
Securities Borrowing and Other
The Company participates in securities borrowing programs whereby securities, which are not reflected on the Company’s condensed consolidated balance sheets, are borrowed from third parties. The borrowed securities are used to provide collateral under affiliated reinsurance transactions. The Company is required to maintain a minimum of 100% of the fair value, or par value, under certain programs, of the borrowed securities as collateral. The collateral consists of rights to reinsurance treaty cash flows. If cash flows from the reinsurance treaties are insufficient to maintain the minimum collateral requirement, the Company may substitute cash or securities to meet the requirement. No cash or securities have been pledged by the Company for this purpose.
The Company also participates in a repurchase/reverse repurchase program in which securities, reflected as investments on the Company’s condensed consolidated balance sheets, are pledged to a third party. In return, the Company receives securities from the third party with an estimated fair value equal to a minimum of 100% of the securities pledged. The securities received are not reflected on the Company’s condensed consolidated balance sheets.
The following table includes the amount of borrowed securities, repurchased securities pledged and repurchased/reverse repurchased securities pledged and received as of March 31, 2016 and December 31, 2015 (dollars in thousands).
 
March 31, 2016
 
December 31, 2015
 
Amortized
Cost
 
Estimated
Fair Value
 
Amortized
Cost
 
Estimated
Fair Value
Borrowed securities
$
268,800

 
$
282,780

 
$
259,540

 
$
266,297

Repurchase program/reverse repurchase program:
 
 
 
 
 
 
 
Securities pledged
454,264

 
479,427

 
443,435

 
465,889

Securities received
n/a

 
479,482

 
n/a

 
481,197


The following table presents information on the securities pledged as collateral by the Company related to its repurchase/reverse repurchase program as of March 31, 2016 and December 31, 2015 (dollars in thousands). Collateral associated with certain borrowed securities is not included within the table, as the collateral pledged to each counterparty is the right to reinsurance treaty cash flows.
 
March 31, 2016
 
Remaining Contractual Maturity of the Agreements
 
Overnight and Continuous
 
Up to 30 Days
 
30-90 Days
 
Greater than 90 Days
 
Total
Collateral on repurchase program
 
 
 
 
 
 
 
 
 
Corporate securities
$

 
$

 
$
1,445

 
$
157,995

 
$
159,440

Residential mortgage-backed securities

 

 

 
97,398

 
97,398

U.S. government and agencies

 

 

 
212,081

 
212,081

Foreign government

 

 

 
3,303

 
3,303

Other
7,205

 

 

 

 
7,205

Total borrowings
$
7,205

 
$

 
$
1,445

 
$
470,777

 
$
479,427

 
 
 
 
 
 
 
 
 
 
Gross amount of recognized liabilities for repurchase agreement in preceding table
 
$
479,482

Amounts related to agreements not included in offsetting disclosure
 
$
55


 
December 31, 2015
 
Remaining Contractual Maturity of the Agreements
 
Overnight and Continuous
 
Up to 30 Days
 
30-90 Days
 
Greater than 90 Days
 
Total
Collateral on repurchase program
 
 
 
 
 
 
 
 
 
Corporate securities
$

 
$
2,951

 
$

 
$
147,324

 
$
150,275

Residential mortgage-backed securities

 

 

 
97,639

 
97,639

U.S. government and agencies

 

 

 
199,431

 
199,431

Foreign government

 

 

 
3,358

 
3,358

Other
15,186

 

 

 

 
15,186

Total borrowings
$
15,186

 
$
2,951

 
$

 
$
447,752

 
$
465,889

 
 
 
 
 
 
 
 
 

Gross amount of recognized liabilities for repurchase agreement in preceding table
 
$
481,197

Amounts related to agreements not included in offsetting disclosure
 
$
15,308


Mortgage Loans on Real Estate
Mortgage loans represented approximately 7.6% and 7.5% of the Company’s total investments as of March 31, 2016 and December 31, 2015. The Company makes mortgage loans on income producing properties that are geographically diversified, with the largest concentration being in the state of California, which represented 22.2% and 22.3% of mortgage loans on real estate as of March 31, 2016 and December 31, 2015, respectively. Loan-to-value ratios at the time of loan approval are 75% or less. The distribution of mortgage loans by property type, gross of valuation allowances, is as follows as of March 31, 2016 and December 31, 2015 (dollars in thousands):
 
 
 
March 31, 2016
 
December 31, 2015
 Property type:
 
Recorded
Investment
 
% of Total
 
Recorded
Investment
 
% of Total
Office building
 
$
1,044,806

 
31.7
%
 
$
980,858

 
31.3
%
Retail
 
1,011,124

 
30.6

 
1,026,018

 
32.7

Industrial
 
656,171

 
19.9

 
527,485

 
16.8

Apartment
 
399,653

 
12.1

 
420,014

 
13.4

Other commercial
 
187,566

 
5.7

 
182,389

 
5.8

Total
 
$
3,299,320

 
100.0
%
 
$
3,136,764

 
100.0
%

The maturities of the mortgage loans, gross of valuation allowances, as of March 31, 2016 and December 31, 2015 are as follows (dollars in thousands):
 
 
 
March 31, 2016
 
December 31, 2015
 
 
Recorded
Investment
 
% of Total
 
Recorded
Investment
 
% of Total
Due within five years
 
$
844,192

 
25.6
%
 
$
873,280

 
27.8
%
Due after five years through ten years
 
1,709,137

 
51.8

 
1,561,535

 
49.8

Due after ten years
 
745,991

 
22.6

 
701,949

 
22.4

Total
 
$
3,299,320

 
100.0
%
 
$
3,136,764

 
100.0
%
Information regarding the Company’s credit quality indicators, as determined by the Company's internal evaluation methodology for its recorded investment in mortgage loans, gross of valuation allowances, as of March 31, 2016 and December 31, 2015 is as follows (dollars in thousands):
 
 
March 31, 2016
 
December 31, 2015
Internal credit quality grade:
 
Recorded
Investment
 
% of Total
 
Recorded
Investment
 
% of Total
High investment grade
 
$
1,739,464

 
52.8
%
 
$
1,621,601

 
51.7
%
Investment grade
 
1,449,516

 
43.9

 
1,397,996

 
44.6

Average
 
86,600

 
2.6

 
87,196

 
2.8

Watch list
 
13,483

 
0.4

 
13,550

 
0.4

In or near default
 
10,257

 
0.3

 
16,421

 
0.5

Total
 
$
3,299,320

 
100.0
%
 
$
3,136,764

 
100.0
%

The age analysis of the Company’s past due recorded investment in mortgage loans, gross of valuation allowances, as of March 31, 2016 and December 31, 2015 is as follows (dollars in thousands):
 
 
March 31, 2016
 
December 31, 2015
 
31-60 days past due
 
$
1,891

 
$

 
61-90 days past due
 

 

 
Greater than 90 days
 

 

 
Total past due
 
1,891

 

 
Current
 
3,297,429

 
3,136,764

 
Total
 
$
3,299,320

 
$
3,136,764


The following table presents the recorded investment in mortgage loans, by method of measuring impairment, and the related valuation allowances as of March 31, 2016 and December 31, 2015 (dollars in thousands):
 
 
March 31, 2016
 
December 31, 2015
Mortgage loans:
 
 
 
 
Individually measured for impairment
 
$
10,257

 
$
16,421

Collectively measured for impairment
 
3,289,063

 
3,120,343

Mortgage loans, gross of valuation allowances
 
3,299,320

 
3,136,764

Valuation allowances:
 
 
 
 
Individually measured for impairment
 
594

 
588

Collectively measured for impairment
 
6,230

 
6,225

Total valuation allowances
 
6,824

 
6,813

 
Mortgage loans, net of valuation allowances
 
$
3,292,496

 
$
3,129,951

Information regarding the Company’s loan valuation allowances for mortgage loans for the three months ended March 31, 2016 and 2015 is as follows (dollars in thousands):
 
Three months ended March 31,
 
2016
 
2015
Balance, beginning of period
$
6,813

 
$
6,471

Charge-offs, net of recoveries

 

Provision (release)
11

 
(341
)
Balance, end of period
$
6,824

 
$
6,130


Information regarding the portion of the Company’s mortgage loans that were impaired as of March 31, 2016 and December 31, 2015 is as follows (dollars in thousands):
 
 
Unpaid
Principal
Balance
 
Recorded
Investment
 
Related
Allowance
 
Carrying
Value
March 31, 2016:
 
 
 
 
 
 
 
 
Impaired mortgage loans with no valuation allowance recorded
 
$
818

 
$
809

 
$

 
$
809

Impaired mortgage loans with valuation allowance recorded
 
9,950

 
9,448

 
594

 
8,854

Total impaired mortgage loans
 
$
10,768

 
$
10,257

 
$
594

 
$
9,663

December 31, 2015:
 
 
 
 
 
 
 
 
Impaired mortgage loans with no valuation allowance recorded
 
$
4,033

 
$
4,033

 
$

 
$
4,033

Impaired mortgage loans with valuation allowance recorded
 
12,898

 
12,388

 
588

 
11,800

Total impaired mortgage loans
 
$
16,931

 
$
16,421

 
$
588

 
$
15,833

 
 
 
 
 
 
 
 
 
The Company’s average investment in impaired mortgage loans and the related interest income are reflected in the table below for the periods indicated (dollars in thousands):
 
 
Three months ended March 31,
 
 
2016
 
2015
 
 
Average
Recorded
Investment
(1)
 
Interest
Income
 
Average
Recorded
Investment
(1)
 
Interest
Income
Impaired mortgage loans with no valuation allowance recorded
 
$
2,421

 
$
12

 
$
10,290

 
$
106

 
Impaired mortgage loans with valuation allowance recorded
 
10,918

 
144

 
6,702

 
155

Total impaired mortgage loans
 
$
13,339

 
$
156

 
$
16,992

 
$
261


(1) Average recorded investment represents the average loan balances as of the beginning of period and all subsequent quarterly end of period balances.

The Company did not acquire any impaired mortgage loans during the three months ended March 31, 2016 and 2015. The Company had no mortgage loans that were on a nonaccrual status at March 31, 2016 and December 31, 2015.
Policy Loans
Policy loans comprised approximately 3.3% and 3.5% of the Company’s total investments as of March 31, 2016 and December 31, 2015, respectively, the majority of which are associated with one client. These policy loans present no credit risk because the amount of the loan cannot exceed the obligation due to the ceding company upon the death of the insured or surrender of the underlying policy. The provisions of the treaties in force and the underlying policies determine the policy loan interest rates. The Company earns a spread between the interest rate earned on policy loans and the interest rate credited to corresponding liabilities.
Funds Withheld at Interest
Funds withheld at interest comprised approximately 13.3% and 14.0% of the Company’s total investments as of March 31, 2016 and December 31, 2015, respectively. Of the $5.8 billion funds withheld at interest balance, net of embedded derivatives, as of March 31, 2016, $3.9 billion of the balance is associated with one client. For reinsurance agreements written on a modified coinsurance basis and certain agreements written on a coinsurance funds withheld basis, assets equal to the net statutory reserves are withheld and legally owned and managed by the ceding company and are reflected as funds withheld at interest on the Company’s condensed consolidated balance sheets. In the event of a ceding company’s insolvency, the Company would need to assert a claim on the assets supporting its reserve liabilities. However, the risk of loss to the Company is mitigated by its ability to offset amounts it owes the ceding company for claims or allowances against amounts owed to the Company from the ceding company.


Other Invested Assets
Other invested assets include equity securities, limited partnership interests, joint ventures (other than operating joint ventures), structured loans, derivative contracts, fair value option ("FVO") contractholder-directed unit-linked investments, Federal Home Loan Bank of Des Moines ("FHLB") common stock (included in other in the table below), real estate held-for-investment (included in other in the table below), and equity release mortgages (included in other in the table below). The fair value option was elected for contractholder-directed investments supporting unit-linked variable annuity type liabilities which do not qualify for presentation and reporting as separate accounts. Other invested assets represented approximately 3.1% of the Company’s total investments as of March 31, 2016 and December 31, 2015. Carrying values of these assets as of March 31, 2016 and December 31, 2015 are as follows (dollars in thousands):
 
 
March 31, 2016
 
December 31, 2015
Equity securities
 
$
117,876

 
$
125,862

Limited partnerships and real estate joint ventures
 
602,117

 
567,697

Structured loans
 
35,751

 
45,422

Derivatives
 
282,954

 
256,178

FVO contractholder-directed unit-linked investments
 
202,130

 
197,547

Other
 
127,716

 
105,414

Total other invested assets
 
$
1,368,544

 
$
1,298,120