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 September 30, 2017 and December 31, 2016 (dollars in thousands): September 30, 2017: Amortized Cost Unrealized Gains Unrealized Losses Estimated Fair Value % of Total Other-than- Available-for-sale: Corporate securities $ 21,418,741 $ 1,209,999 $ 92,910 $ 22,535,830 61.9 % $ — Canadian and Canadian provincial governments 2,850,982 1,142,635 2,432 3,991,185 11.0 — Residential mortgage-backed securities 1,645,379 42,202 8,276 1,679,305 4.6 — Asset-backed securities 1,680,918 18,713 5,063 1,694,568 4.7 275 Commercial mortgage-backed securities 1,293,296 25,471 5,445 1,313,322 3.6 — U.S. government and agencies 1,621,053 13,614 30,998 1,603,669 4.4 — State and political subdivisions 614,099 52,919 5,987 661,031 1.8 — Other foreign government, supranational and foreign government-sponsored enterprises 2,765,500 145,025 7,693 2,902,832 8.0 — Total fixed maturity securities $ 33,889,968 $ 2,650,578 $ 158,804 $ 36,381,742 100.0 % $ 275 Non-redeemable preferred stock $ 41,878 $ 312 $ 3,289 $ 38,901 34.4 % Other equity securities 74,514 633 1,117 74,030 65.6 Total equity securities $ 116,392 $ 945 $ 4,406 $ 112,931 100.0 % December 31, 2016: Amortized Cost Unrealized Gains Unrealized Losses Estimated Fair Value % of Total Other-than- Available-for-sale: Corporate securities $ 18,924,711 $ 911,618 $ 217,245 $ 19,619,084 61.1 % $ — Canadian and Canadian provincial governments 2,561,605 1,085,982 3,541 3,644,046 11.4 — Residential mortgage-backed securities 1,258,039 33,917 13,380 1,278,576 4.0 (375 ) Asset-backed securities 1,443,822 9,350 23,828 1,429,344 4.5 275 Commercial mortgage-backed securities 1,342,440 28,973 7,759 1,363,654 4.2 — U.S. government and agencies 1,518,702 12,644 63,044 1,468,302 4.6 — State and political subdivisions 566,761 37,499 12,464 591,796 1.8 — Other foreign government, supranational and foreign government-sponsored enterprises 2,595,707 123,054 19,938 2,698,823 8.4 — Total fixed maturity securities $ 30,211,787 $ 2,243,037 $ 361,199 $ 32,093,625 100.0 % $ (100 ) Non-redeemable preferred stock $ 55,812 $ 1,648 $ 6,337 $ 51,123 18.6 % Other equity securities 229,767 1,792 7,321 224,238 81.4 Total equity securities $ 285,579 $ 3,440 $ 13,658 $ 275,361 100.0 % 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 September 30, 2017 and December 31, 2016 , none of the collateral received had been sold or repledged. The Company also holds assets 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 derivative transactions and certain third-party reinsurance treaties as of September 30, 2017 and December 31, 2016 (dollars in thousands): September 30, 2017 December 31, 2016 Amortized Cost Estimated Fair Value Amortized Cost Estimated Fair Value Fixed maturity securities pledged as collateral $ 68,841 $ 72,365 $ 207,066 $ 210,676 Fixed maturity securities received as collateral n/a 461,237 n/a 300,925 Assets in trust held to satisfy collateral requirements 14,598,404 15,598,457 12,135,258 12,874,370 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 September 30, 2017 and December 31, 2016 (dollars in thousands). September 30, 2017 December 31, 2016 Amortized Cost Estimated Fair Value Amortized Cost Estimated Fair Value Fixed maturity securities guaranteed or issued by: Canadian province of Quebec $ 1,115,505 $ 1,766,749 $ 1,004,261 $ 1,612,957 Canadian province of Ontario 932,872 1,231,201 832,764 1,126,433 The amortized cost and estimated fair value of fixed maturity securities classified as available-for-sale at September 30, 2017 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 $ 910,821 $ 915,586 Due after one year through five years 7,339,134 7,618,692 Due after five years through ten years 9,581,912 10,090,704 Due after ten years 11,438,508 13,069,565 Asset and mortgage-backed securities 4,619,593 4,687,195 Total $ 33,889,968 $ 36,381,742 Corporate Fixed Maturity Securities The tables below show the major industry types of the Company’s corporate fixed maturity holdings as of September 30, 2017 and December 31, 2016 (dollars in thousands): September 30, 2017: Estimated Amortized Cost Fair Value % of Total Finance $ 7,797,576 $ 8,146,891 36.2 % Industrial 11,323,024 11,914,845 52.8 Utility 2,298,141 2,474,094 11.0 Total $ 21,418,741 $ 22,535,830 100.0 % December 31, 2016: Estimated Amortized Cost Fair Value % of Total Finance $ 6,725,199 $ 6,888,968 35.2 % Industrial 10,228,813 10,639,613 54.2 Utility 1,970,699 2,090,503 10.6 Total $ 18,924,711 $ 19,619,084 100.0 % Other-Than-Temporary Impairments - Fixed Maturity and Equity Securities As discussed in Note 2 – “Summary of Significant Accounting Policies” of the 2016 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 following table sets forth the amount of pre-tax credit loss impairments on fixed maturity securities held by the Company as of the dates indicated, for which a portion of the OTTI loss was recognized in AOCI, and the corresponding changes in such amounts (dollars in thousands): Three months ended September 30, Nine months ended September 30, 2017 2016 2017 2016 Balance, beginning of period $ 3,677 $ 6,974 $ 6,013 $ 7,284 Credit loss OTTI previously recognized on securities which matured, paid down, prepaid or were sold during the period — — (2,336 ) (310 ) Balance, end of period $ 3,677 $ 6,974 $ 3,677 $ 6,974 Unrealized Losses for Fixed Maturity and Equity Securities Available-for-Sale The following table presents the total gross unrealized losses for the 1,165 and 1,535 fixed maturity and equity securities as of September 30, 2017 and December 31, 2016 , respectively, where the estimated fair value had declined and remained below amortized cost by the indicated amount (dollars in thousands): September 30, 2017 December 31, 2016 Gross Unrealized Losses % of Total Gross Unrealized Losses % of Total Less than 20% $ 140,313 86.0 % $ 337,831 90.1 % 20% or more for less than six months 3,407 2.1 19,438 5.2 20% or more for six months or greater 19,490 11.9 17,588 4.7 Total $ 163,210 100.0 % $ 374,857 100.0 % 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 1,165 and 1,535 fixed maturity and equity securities that have estimated fair values below amortized cost as of September 30, 2017 and December 31, 2016 , 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 September 30, 2017: Estimated Unrealized Estimated Unrealized Estimated Unrealized Fair Value Losses Fair Value Losses Fair Value Losses Investment grade securities: Corporate securities $ 2,035,856 $ 15,923 $ 1,213,026 $ 49,422 $ 3,248,882 $ 65,345 Canadian and Canadian provincial governments 97,100 1,320 46,663 1,112 143,763 2,432 Residential mortgage-backed securities 507,372 5,084 154,469 3,189 661,841 8,273 Asset-backed securities 516,613 2,318 133,848 2,213 650,461 4,531 Commercial mortgage-backed securities 293,834 3,224 61,707 2,221 355,541 5,445 U.S. government and agencies 1,302,732 29,712 56,595 1,286 1,359,327 30,998 State and political subdivisions 53,977 743 62,530 5,156 116,507 5,899 Other foreign government, supranational and foreign government-sponsored enterprises 327,813 2,529 104,333 4,865 432,146 7,394 Total investment grade securities 5,135,297 60,853 1,833,171 69,464 6,968,468 130,317 Below investment grade securities: Corporate securities 170,023 3,780 95,089 23,785 265,112 27,565 Residential mortgage-backed securities — — 93 3 93 3 Asset-backed securities — — 5,611 532 5,611 532 State and political subdivisions 919 88 — — 919 88 Other foreign government, supranational and foreign government-sponsored enterprises 11,219 77 15,667 222 26,886 299 Total below investment grade securities 182,161 3,945 116,460 24,542 298,621 28,487 Total fixed maturity securities $ 5,317,458 $ 64,798 $ 1,949,631 $ 94,006 $ 7,267,089 $ 158,804 Non-redeemable preferred stock $ 6,712 $ 345 $ 25,983 $ 2,944 $ 32,695 $ 3,289 Other equity securities 6,446 396 58,206 721 64,652 1,117 Total equity securities $ 13,158 $ 741 $ 84,189 $ 3,665 $ 97,347 $ 4,406 Less than 12 months 12 months or greater Total Gross Gross Gross December 31, 2016: Estimated Unrealized Estimated Unrealized Estimated Unrealized Fair Value Losses Fair Value Losses Fair Value Losses Investment grade securities: Corporate securities $ 4,661,706 $ 124,444 $ 549,273 $ 43,282 $ 5,210,979 $ 167,726 Canadian and Canadian provincial governments 101,578 3,541 — — 101,578 3,541 Residential mortgage-backed securities 490,473 9,733 112,216 3,635 602,689 13,368 Asset-backed securities 563,259 12,010 257,166 9,653 820,425 21,663 Commercial mortgage-backed securities 368,465 6,858 10,853 166 379,318 7,024 U.S. government and agencies 1,056,101 63,044 — — 1,056,101 63,044 State and political subdivisions 187,194 9,396 13,635 3,068 200,829 12,464 Other foreign government, supranational and foreign government-sponsored enterprises 524,236 13,372 51,097 2,981 575,333 16,353 Total investment grade securities 7,953,012 242,398 994,240 62,785 8,947,252 305,183 Below investment grade securities: Corporate securities 330,757 7,914 163,152 41,605 493,909 49,519 Residential mortgage-backed securities — — 412 12 412 12 Asset-backed securities 5,904 700 12,581 1,465 18,485 2,165 Commercial mortgage-backed securities 5,815 735 — — 5,815 735 Other foreign government, supranational and foreign government-sponsored enterprises 32,355 1,258 39,763 2,327 72,118 3,585 Total below investment grade securities 374,831 10,607 215,908 45,409 590,739 56,016 Total fixed maturity securities $ 8,327,843 $ 253,005 $ 1,210,148 $ 108,194 $ 9,537,991 $ 361,199 Non-redeemable preferred stock $ 10,831 $ 831 $ 21,879 $ 5,506 $ 32,710 $ 6,337 Other equity securities 202,068 7,020 6,751 301 208,819 7,321 Total equity securities $ 212,899 $ 7,851 $ 28,630 $ 5,807 $ 241,529 $ 13,658 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 September 30, 2017 are primarily related to high-yield corporate securities. Changes in unrealized losses are primarily being driven by changes in credit spreads and interest rates. 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 September 30, Nine months ended September 30, 2017 2016 2017 2016 Fixed maturity securities available-for-sale $ 359,157 $ 325,089 $ 1,039,392 $ 961,096 Mortgage loans on real estate 50,040 39,802 138,829 121,494 Policy loans 15,404 15,391 45,870 47,897 Funds withheld at interest 102,144 104,609 327,089 273,482 Short-term investments and cash and cash equivalents 1,977 1,752 5,266 6,265 Other invested assets 47,595 21,138 90,488 57,896 Investment income 576,317 507,781 1,646,934 1,468,130 Investment expense (19,399 ) (18,054 ) (57,114 ) (53,471 ) Investment income, net of related expenses $ 556,918 $ 489,727 $ 1,589,820 $ 1,414,659 Investment Related Gains (Losses), Net Investment related gains (losses), net consist of the following (dollars in thousands): Three months ended September 30, Nine months ended September 30, 2017 2016 2017 2016 Fixed maturity and equity securities available for sale: Other-than-temporary impairment losses on fixed maturity securities recognized in earnings $ (390 ) $ — $ (20,980 ) $ (34,663 ) Impairment losses on equity securities (889 ) — (889 ) — Gain on investment activity 19,522 46,346 91,635 127,153 Loss on investment activity (7,678 ) (9,054 ) (30,712 ) (43,397 ) Other impairment losses and change in mortgage loan provision (2,446 ) (262 ) (9,220 ) (2,111 ) Derivatives and other, net 14,534 49,594 109,637 37,020 Total investment related gains (losses), net $ 22,653 $ 86,624 $ 139,471 $ 84,002 The fixed maturity impairments for the three and nine months ended September 30, 2017 and 2016 were largely related to high-yield and emerging market corporate securities. The equity impairments for the three and nine months ended September 30, 2017 were related to an equity position received as part of a debt restructuring. The other impairment losses and change in mortgage loan provision for the three and nine months ended September 30, 2017 and 2016 were primarily due to impairments on limited partnerships. The fluctuations in investment related gains (losses) for derivatives and other for the three and nine months ended September 30, 2017 , compared to the same periods in 2016 , are primarily due to changes in the fair value of embedded derivatives and interest rate swaps. During the three months ended September 30, 2017 and 2016 , the Company sold fixed maturity and equity securities with fair values of $484.7 million and $317.3 million at losses of $7.7 million and $9.1 million , respectively. During the nine months ended September 30, 2017 and 2016 , the Company sold fixed maturity and equity securities with fair values of $1,771.4 million and $903.1 million at losses of $30.7 million and $43.4 million , respectively. The Company generally does not buy and sell securities on a short-term basis. Securities Borrowing, Lending 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 securities lending program whereby securities, reflected as investments on the Company’s condensed consolidated balance sheets, are loaned to a third party. The Company receives securities as collateral, in an amount equal to a minimum of 105% of the fair value of the securities lent. The securities received as collateral are not reflected on the Company’s condensed consolidated balance sheets. The Company also participates in repurchase/reverse repurchase programs in which securities, reflected as investments on the Company’s condensed consolidated balance sheets, are pledged to third parties. In return, the Company receives securities from the third parties 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 Company also participates in a 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 cash from the third party, which is reflected as a payable to the third party and included in other liabilities on the condensed consolidated balance sheets. The Company is required to maintain a minimum collateral balance with a fair value of 102% of the cash received. The following table includes the amount of borrowed securities, securities lent and securities collateral received as part of the securities lending program and repurchased/reverse repurchased securities pledged and received as of September 30, 2017 and December 31, 2016 (dollars in thousands). September 30, 2017 December 31, 2016 Amortized Cost Estimated Fair Value Amortized Cost Estimated Fair Value Borrowed securities $ 360,475 $ 379,101 $ 263,820 $ 279,186 Securities lending: Securities loaned 117,219 121,958 74,389 73,625 Securities received n/a 120,000 n/a 80,000 Repurchase program/reverse repurchase program: Securities pledged 491,824 512,613 476,531 499,891 Securities received n/a 522,354 n/a 515,200 The Company also held cash collateral for securities lending and the repurchase program/reverse repurchase programs of $38.5 million and $28.8 million at September 30, 2017 and December 31, 2016 , respectively. The following table presents information on the Company’s securities lending and repurchase transactions as of September 30, 2017 and December 31, 2016 (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. September 30, 2017 Remaining Contractual Maturity of the Agreements Overnight and Continuous Up to 30 Days 30-90 Days Greater than 90 Days Total Securities lending transactions: Corporate securities $ — $ — $ — $ 121,958 $ 121,958 Total — — — 121,958 121,958 Repurchase transactions: Corporate securities — 1,472 5,402 175,258 182,132 Residential mortgage-backed securities — — — 87,418 87,418 U.S. government and agencies — — 23,206 196,040 219,246 Foreign government — — — 21,370 21,370 Other 2,447 — — — 2,447 Total 2,447 1,472 28,608 480,086 512,613 Total transactions $ 2,447 $ 1,472 $ 28,608 $ 602,044 $ 634,571 Gross amount of recognized liabilities for securities lending and repurchase transactions in preceding table $ 680,850 Amounts related to agreements not included in offsetting disclosure $ 46,279 December 31, 2016 Remaining Contractual Maturity of the Agreements Overnight and Continuous Up to 30 Days 30-90 Days Greater than 90 Days Total Securities lending transactions: Corporate securities $ — $ — $ 4,017 $ 69,608 $ 73,625 Total $ — $ — $ 4,017 $ 69,608 $ 73,625 Repurchase transactions: Corporate securities $ — $ — $ 3,220 $ 166,979 $ 170,199 Residential mortgage-backed securities — — — 92,546 92,546 U.S. government and agencies — — — 216,000 216,000 Foreign government — — — 19,900 19,900 Other 1,246 — — — 1,246 Total 1,246 — 3,220 495,425 499,891 Total borrowings $ 1,246 $ — $ 7,237 $ 565,033 $ 573,516 Gross amount of recognized liabilities for securities lending and repurchase transactions in preceding table $ 624,032 Amounts related to agreements not included in offsetting disclosure $ 50,516 The Company has elected to offset amounts recognized as receivables and payables resulting from the repurchase/reverse repurchase programs. After the effect of offsetting, the net amount presented on the condensed consolidated balance sheets was a liability of $7.9 million and $5.5 million of September 30, 2017 and December 31, 2016 , respectively. As of September 30, 2017 and December 31, 2016 , the Company recognized payables resulting from cash received as collateral associated with a repurchase agreement as discussed above. Amounts owed to and due from the counterparties may be settled in cash or offset, in accordance with the agreements. Mortgage Loans on Real Estate Mortgage loans represented approximately 8.7% and 8.4% of the Company’s total investments as of September 30, 2017 and December 31, 2016 . The Company makes mortgage loans on income producing properties that are geographically diversified throughout the U.S. with the largest concentration being in the state of California, which represented 21.2% and 22.1% of mortgage loans on real estate as of September 30, 2017 and December 31, 2016 , respectively. The recorded investment in mortgage loans on real estate presented below is gross of unamortized deferred loan origination fees and expenses, and valuation allowances. The distribution of mortgage loans by property type is as follows as of September 30, 2017 and December 31, 2016 (dollars in thousands): September 30, 2017 December 31, 2016 Property type: Carrying Value % of Total Carrying Value % of Total Office building $ 1,426,673 32.9 % $ 1,270,113 33.6 % Retail 1,316,463 30.4 1,179,936 31.2 Industrial 891,051 20.6 713,461 18.8 Apartment 508,367 11.7 447,088 11.8 Other commercial 191,443 4.4 172,609 4.6 Recorded investment 4,333,997 100.0 % $ 3,783,207 100.0 % Unamortized balance of loan origination fees and expenses (2,531 ) — Valuation allowances (9,137 ) (7,685 ) Total mortgage loans on real estate $ 4,322,329 $ 3,775,522 The maturities of the mortgage loans as of September 30, 2017 and December 31, 2016 are as follows (dollars in thousands): September 30, 2017 December 31, 2016 Recorded Investment % of Total Recorded Investment % of Total Due within five years $ 1,086,700 25.1 % $ 822,073 21.7 % Due after five years through ten years 2,334,113 53.8 2,099,559 55.5 Due after ten years 913,184 21.1 861,575 22.8 Total $ 4,333,997 100.0 % $ 3,783,207 100.0 % The following tables set forth certain key credit quality indicators of the Company’s recorded investment in mortgage loans as of September 30, 2017 and December 31, 2016 (dollars in thousands): Recorded Investment Debt Service Ratios >1.20x 1.00x - 1.20x <1.00x Total % of Total September 30, 2017: Loan-to-Value Ratio 0% - 59.99% $ 2,060,277 $ 51,162 $ 4,698 $ 2,116,137 48.8 % 60% - 69.99% 1,515,469 86,613 44,358 1,646,440 38.0 70% - 79.99% 424,195 32,664 19,850 476,709 11.0 Greater than 80% 51,348 19,951 23,412 94,711 2.2 Total $ 4,051,289 $ 190,390 $ 92,318 $ 4,333,997 100.0 % Recorded Investment Debt Service Ratios >1.20x 1.00x - 1.20x <1.00x Total % of Total December 31, 2016: Loan-to-Value Ratio 0% - 59.99% $ 1,859,640 $ 64,749 $ 1,366 $ 1,925,755 50.8 % 60% - 69.99% 1,257,788 34,678 — 1,292,466 34.2 70% - 79.99% 370,092 20,869 24,369 415,330 11.0 Greater than 80% 114,297 — 35,359 149,656 4.0 Total $ 3,601,817 $ 120,296 $ 61,094 $ 3,783,207 100.0 % None of the payments due to the Company on its recorded investment in mortgage loans were delinquent as of September 30, 2017 and December 31, 2016 . The following table presents the recorded investment in mortgage loans, by method of measuring impairment, and the related valuation allowances as of September 30, 2017 and December 31, 2016 (dollars in thousands): September 30, 2017 December 31, 2016 Mortgage loans: Individually measured for impairment $ 5,856 $ 2,216 Collectively measured for impairment 4,328,141 3,780,991 Recorded investment $ 4,333,997 $ 3,783,207 Valuation allowances: Individually measured for impairment $ — $ — Collectively measured for impairment 9,137 7,685 Total valuation allowances $ 9,137 $ 7,685 Information regarding the Company’s loan valuation allowances for mortgage loans for the three and nine months ended September 30, 2017 and 2016 is as follows (dollars in thousands): Three months ended September 30, Nine months ended September 30, 2017 2016 2017 2016 Balance, beginning of period $ 8,156 $ 6,499 $ 7,685 $ 6,813 Provision (release) 977 247 1,444 (67 ) Translation adjustment 4 — 8 — Balance, end of period $ 9,137 $ 6,746 $ 9,137 $ 6,746 Information regarding the portion of the Company’s mortgage loans that were impaired as of September 30, 2017 and December 31, 2016 is as follows (dollars in thousands): Unpaid Principal Balance Recorded Investment Related Allowance Carrying Value September 30, 2017: Impaired mortgage loans with no valuation allowance recorded $ 6,427 $ 5,856 $ — $ 5,856 Impaired mortgage loans with valuation allowance recorded — — — — Total impaired mortgage loans $ 6,427 $ 5,856 $ — $ 5,856 December 31, 2016: Impaired mortgage loans with no valuation allowance recorded $ 2,758 $ 2,216 $ — $ 2,216 Impaired mortgage loans with valuation allowance recorded — — — — Total impaired mortgage loans $ 2,758 $ 2,216 $ — $ 2,216 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 September 30, 2017 2016 Average (1) Interest Income Average Recorded Investment (1) Interest Income Impaired mortgage loans with no valuation allowance recorded $ 3,967 $ 33 $ 6,953 $ 107 Impaired mortgage loans with valuation allowance recorded — — — — Total impaired mortgage loans $ 3,967 $ 33 $ 6,953 $ 107 Nine months ended September 30, 2017 2016 Average (1) Interest Income Average (1) Interest Income Impaired mortgage loans with no valuation allowance recorded $ 3,062 $ 100 $ 4,687 $ 324 Impaired mortgage loans with valuation allowance recorded — — 5,459 — Total impaired mortgage loans $ 3,062 $ 100 $ 10,146 $ 324 (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 nine months ended September 30, 2017 and 2016 . The Company had no mortgage loans that were on a nonaccrual status at September 30, 2017 and December 31, 2016 . Policy Loans Policy loans comprised approximately 2.7% and 3.2% of the Company’s total investments as of September 30, 2017 and December 31, 2016 , 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 12.1% and 13.1% of the Company’s total investments as of September 30, 2017 and December 31, 2016 , respectively. Of the $6.0 billion funds withheld at interest balance, net of embedded derivatives, as of September 30, 2017 , $4.0 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), derivative contracts and fair value option (“FVO”) contractholder-directed unit-linked investments. Other invested assets also include Federal Home Loan Bank of Des Moines (“FHLB”) common stock, equity release mortgages and structured loans, all of which are 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% and 3.6% of the Company’s total investments as of September 30, 2017 and December 31, 2016 , respectively. Carrying values of these assets as of September 30, 2017 and December 31, 2016 are as follows (dollars in thousands): September 30, 2017 December 31, 2016 Equity securities $ 112,931 $ 275,361 Limited partnership interests and real estate joint ventures 761,739 687,522 Derivatives 133,405 229,108 FVO contractholder-directed unit-linked investments 210,660 190,120 Other 313,788 209,829 Total other invested assets $ 1,532,523 $ 1,591,940 |