Investments | Investments a) The following tables summarize the Company's available-for-sale investments. December 31, 2015 (dollars in thousands) Amortized Cost Gross Unrealized Holding Gains Gross Unrealized Holding Losses Unrealized Other- Than-Temporary Impairment Losses Estimated Fair Value Fixed maturities: U.S. Treasury securities and obligations of U.S. government agencies $ 695,652 $ 9,836 $ (4,781 ) $ — $ 700,707 Obligations of states, municipalities and political subdivisions 3,817,136 204,302 (8,225 ) — 4,013,213 Foreign governments 1,302,329 115,809 (1,681 ) — 1,416,457 Commercial mortgage-backed securities 657,670 6,867 (4,999 ) — 659,538 Residential mortgage-backed securities 837,964 22,563 (4,022 ) (2,258 ) 854,247 Asset-backed securities 36,462 15 (406 ) — 36,071 Corporate bonds 1,690,945 41,123 (16,209 ) (1,624 ) 1,714,235 Total fixed maturities 9,038,158 400,515 (40,323 ) (3,882 ) 9,394,468 Equity securities: Insurance, banks and other financial institutions 651,002 690,271 (6,551 ) — 1,334,722 Industrial, consumer and all other 1,557,832 1,227,052 (45,131 ) — 2,739,753 Total equity securities 2,208,834 1,917,323 (51,682 ) — 4,074,475 Short-term investments 1,642,103 167 (9 ) — 1,642,261 Investments, available-for-sale $ 12,889,095 $ 2,318,005 $ (92,014 ) $ (3,882 ) $ 15,111,204 December 31, 2014 (dollars in thousands) Amortized Cost Gross Unrealized Holding Gains Gross Unrealized Holding Losses Unrealized Other- Than-Temporary Impairment Losses Estimated Fair Value Fixed maturities: U.S. Treasury securities and obligations of U.S. government agencies $ 662,462 $ 12,963 $ (2,163 ) $ — $ 673,262 Obligations of states, municipalities and political subdivisions 4,075,748 245,158 (3,359 ) — 4,317,547 Foreign governments 1,458,255 154,707 (1,041 ) — 1,611,921 Commercial mortgage-backed securities 427,904 5,325 (2,602 ) — 430,627 Residential mortgage-backed securities 954,263 34,324 (3,482 ) (2,258 ) 982,847 Asset-backed securities 100,073 99 (682 ) — 99,490 Corporate bonds 2,250,432 69,016 (10,441 ) (1,819 ) 2,307,188 Total fixed maturities 9,929,137 521,592 (23,770 ) (4,077 ) 10,422,882 Equity securities: Insurance, banks and other financial institutions 523,739 789,717 (1,531 ) — 1,311,925 Industrial, consumer and all other 1,427,919 1,403,566 (5,834 ) — 2,825,651 Total equity securities 1,951,658 2,193,283 (7,365 ) — 4,137,576 Short-term investments 1,594,819 36 (6 ) — 1,594,849 Investments, available-for-sale $ 13,475,614 $ 2,714,911 $ (31,141 ) $ (4,077 ) $ 16,155,307 b) The following tables summarize gross unrealized investment losses by the length of time that securities have continuously been in an unrealized loss position. December 31, 2015 Less than 12 months 12 months or longer Total (dollars in thousands) Estimated Fair Value Gross Unrealized Holding and Other-Than- Temporary Impairment Losses Estimated Fair Value Gross Unrealized Holding and Other-Than- Temporary Impairment Losses Estimated Fair Value Gross Unrealized Holding and Other-Than- Temporary Impairment Losses Fixed maturities: U.S. Treasury securities and obligations of U.S. government agencies $ 427,003 $ (3,648 ) $ 92,552 $ (1,133 ) $ 519,555 $ (4,781 ) Obligations of states, municipalities and political subdivisions 169,362 (4,864 ) 70,101 (3,361 ) 239,463 (8,225 ) Foreign governments 51,328 (249 ) 40,345 (1,432 ) 91,673 (1,681 ) Commercial mortgage-backed securities 289,058 (3,600 ) 95,843 (1,399 ) 384,901 (4,999 ) Residential mortgage-backed securities 78,814 (2,858 ) 137,100 (3,422 ) 215,914 (6,280 ) Asset-backed securities 6,228 (54 ) 24,315 (352 ) 30,543 (406 ) Corporate bonds 470,694 (9,509 ) 343,737 (8,324 ) 814,431 (17,833 ) Total fixed maturities 1,492,487 (24,782 ) 803,993 (19,423 ) 2,296,480 (44,205 ) Equity securities: Insurance, banks and other financial institutions 63,873 (6,384 ) 6,247 (167 ) 70,120 (6,551 ) Industrial, consumer and all other 344,857 (44,879 ) 2,907 (252 ) 347,764 (45,131 ) Total equity securities 408,730 (51,263 ) 9,154 (419 ) 417,884 (51,682 ) Short-term investments 129,473 (9 ) — — 129,473 (9 ) Total $ 2,030,690 $ (76,054 ) $ 813,147 $ (19,842 ) $ 2,843,837 $ (95,896 ) At December 31, 2015 , the Company held 659 securities with a total estimated fair value of $2.8 billion and gross unrealized losses of $95.9 million . Of these 659 securities, 271 securities had been in a continuous unrealized loss position for one year or longer and had a total estimated fair value of $813.1 million and gross unrealized losses of $19.8 million . Of these securities, 264 securities were fixed maturities and seven were equity securities. The Company does not intend to sell or believe it will be required to sell these fixed maturities before recovery of their amortized cost. The Company has the ability and intent to hold these equity securities for a period of time sufficient to allow for the anticipated recovery of their fair value. December 31, 2014 Less than 12 months 12 months or longer Total (dollars in thousands) Estimated Fair Value Gross Unrealized Holding and Other-Than- Temporary Impairment Losses Estimated Fair Value Gross Unrealized Holding and Other-Than- Temporary Impairment Losses Estimated Fair Value Gross Unrealized Holding and Other-Than- Temporary Impairment Losses Fixed maturities: U.S. Treasury securities and obligations of U.S. government agencies $ 108,250 $ (62 ) $ 163,359 $ (2,101 ) $ 271,609 $ (2,163 ) Obligations of states, municipalities and political subdivisions 58,583 (542 ) 92,441 (2,817 ) 151,024 (3,359 ) Foreign governments 18,856 (386 ) 56,217 (655 ) 75,073 (1,041 ) Commercial mortgage-backed securities 45,931 (210 ) 147,558 (2,392 ) 193,489 (2,602 ) Residential mortgage-backed securities 9,613 (2,285 ) 207,374 (3,455 ) 216,987 (5,740 ) Asset-backed securities 30,448 (20 ) 45,160 (662 ) 75,608 (682 ) Corporate bonds 141,176 (2,263 ) 621,821 (9,997 ) 762,997 (12,260 ) Total fixed maturities 412,857 (5,768 ) 1,333,930 (22,079 ) 1,746,787 (27,847 ) Equity securities: Insurance, banks and other financial institutions 16,219 (1,531 ) — — 16,219 (1,531 ) Industrial, consumer and all other 86,062 (5,834 ) — — 86,062 (5,834 ) Total equity securities 102,281 (7,365 ) — — 102,281 (7,365 ) Short-term investments 181,964 (6 ) — — 181,964 (6 ) Total $ 697,102 $ (13,139 ) $ 1,333,930 $ (22,079 ) $ 2,031,032 $ (35,218 ) At December 31, 2014 , the Company held 552 securities with a total estimated fair value of $2.0 billion and gross unrealized losses of $35.2 million . Of these 552 securities, 396 securities had been in a continuous unrealized loss position for one year or longer and had a total estimated fair value of $1.3 billion and gross unrealized losses of $22.1 million . All 396 securities were fixed maturities. The Company completes a detailed analysis each quarter to assess whether the decline in the fair value of any investment below its cost basis is deemed other-than-temporary. All securities with unrealized losses are reviewed. The Company considers many factors in completing its quarterly review of securities with unrealized losses for other-than-temporary impairment, including the length of time and the extent to which fair value has been below cost and the financial condition and near-term prospects of the issuer. For equity securities, the ability and intent to hold the security for a period of time sufficient to allow for anticipated recovery is considered. For fixed maturities, the Company considers whether it intends to sell the security or if it is more likely than not that it will be required to sell the security before recovery, the implied yield-to-maturity, the credit quality of the issuer and the ability to recover all amounts outstanding when contractually due. For equity securities, a decline in fair value that is considered to be other-than-temporary is recognized in net income based on the fair value of the security at the time of assessment, resulting in a new cost basis for the security. For fixed maturities where the Company intends to sell the security or it is more likely than not that the Company will be required to sell the security before recovery of its amortized cost, a decline in fair value is considered to be other-than-temporary and is recognized in net income based on the fair value of the security at the time of assessment, resulting in a new cost basis for the security. If the decline in fair value of a fixed maturity below its amortized cost is considered to be other-than-temporary based upon other considerations, the Company compares the estimated present value of the cash flows expected to be collected to the amortized cost of the security. The extent to which the estimated present value of the cash flows expected to be collected is less than the amortized cost of the security represents the credit-related portion of the other-than-temporary impairment, which is recognized in net income, resulting in a new cost basis for the security. Any remaining decline in fair value represents the non-credit portion of the other-than-temporary impairment, which is recognized in other comprehensive income (loss). The discount rate used to calculate the estimated present value of the cash flows expected to be collected is the effective interest rate implicit for the security at the date of purchase. When assessing whether it intends to sell a fixed maturity or if it is likely to be required to sell a fixed maturity before recovery of its amortized cost, the Company evaluates facts and circumstances including decisions to reposition the investment portfolio, potential sales of investments to meet cash flow needs and, ultimately, current market prices. c) The amortized cost and estimated fair value of fixed maturities at December 31, 2015 are shown below by contractual maturity. (dollars in thousands) Amortized Cost Estimated Fair Value Due in one year or less $ 482,284 $ 485,605 Due after one year through five years 1,820,680 1,857,267 Due after five years through ten years 1,576,656 1,663,076 Due after ten years 3,626,442 3,838,664 7,506,062 7,844,612 Commercial mortgage-backed securities 657,670 659,538 Residential mortgage-backed securities 837,964 854,247 Asset-backed securities 36,462 36,071 Total fixed maturities $ 9,038,158 $ 9,394,468 Expected maturities may differ from contractual maturities because borrowers may have the right to call or prepay obligations with or without call or prepayment penalties, and the lenders may have the right to put the securities back to the borrower. Based on expected maturities, the estimated average duration of fixed maturities at December 31, 2015 was 5.9 years. d) The following table presents the components of net investment income. Years Ended December 31, (dollars in thousands) 2015 2014 2013 Interest: Municipal bonds (tax-exempt) $ 93,580 $ 98,262 $ 82,308 Municipal bonds (taxable) 57,550 49,345 28,041 Other taxable bonds 138,763 152,789 134,377 Short-term investments, including overnight deposits 5,223 5,959 3,573 Dividends on equity securities 74,705 65,031 48,641 Change in fair value of credit default swap — 2,230 10,460 Income (loss) from equity method investments (262 ) 4,766 21,898 Other 651 108 355 370,210 378,490 329,653 Investment expenses (16,997 ) (15,260 ) (12,280 ) Net investment income $ 353,213 $ 363,230 $ 317,373 e) Cumulative credit losses recognized in net income on fixed maturities where other-than-temporary impairment was identified and a portion of the other-than-temporary impairment was included in other comprehensive income (loss) were $10.7 million at December 31, 2015 and $12.7 million at December 31, 2014 and 2013 . f) The following table presents net realized investment gains and the change in net unrealized gains on investments. Years Ended December 31, (dollars in thousands) 2015 2014 2013 Realized gains: Sales of fixed maturities $ 3,073 $ 8,417 $ 13,772 Sales of equity securities 156,987 51,356 73,592 Other 8,103 15,205 5,940 Total realized gains 168,163 74,978 93,304 Realized losses: Sales of fixed maturities (4,598 ) (18,136 ) (25,168 ) Sales of equity securities (1,232 ) (802 ) (278 ) Other-than-temporary impairments (44,481 ) (4,784 ) (4,706 ) Other (11,372 ) (5,256 ) — Total realized losses (61,683 ) (28,978 ) (30,152 ) Net realized investment gains $ 106,480 $ 46,000 $ 63,152 Change in net unrealized gains on investments: Fixed maturities $ (137,435 ) $ 480,350 $ (403,610 ) Equity securities (320,277 ) 500,673 665,599 Short-term investments 128 12 6 Net increase (decrease) $ (457,584 ) $ 981,035 $ 261,995 g) The following table presents other-than-temporary impairment losses recognized in net income and included in net realized investment gains by investment type. Years Ended December 31, (dollars in thousands) 2015 2014 2013 Fixed maturities: Obligations of states, municipalities and political subdivisions $ — $ — $ (1,242 ) Commercial mortgage-backed securities — (61 ) — Residential mortgage-backed securities — — (640 ) Asset-backed securities — (197 ) — Corporate bonds — (46 ) — Total fixed maturities — (304 ) (1,882 ) Equity securities: Insurance, banks and other financial institutions (9,835 ) (341 ) — Industrial, consumer and all other (34,646 ) (4,139 ) (2,824 ) Total equity securities (44,481 ) (4,480 ) (2,824 ) Total $ (44,481 ) $ (4,784 ) $ (4,706 ) h) The following table presents the components of restricted assets. December 31, (dollars in thousands) 2015 2014 Restricted assets held in trust or on deposit to support underwriting activities $ 4,037,458 $ 4,961,061 Investments and cash and cash equivalents pledged as security for letters of credit 745,744 635,340 Total $ 4,783,202 $ 5,596,401 Total restricted assets are included on the Company's consolidated balance sheets as follows. December 31, (dollars in thousands) 2015 2014 Investments, available-for-sale $ 4,343,070 $ 5,040,413 Restricted cash and cash equivalents 440,132 522,225 Other assets — 33,763 Total $ 4,783,202 $ 5,596,401 i) At December 31, 2015 and December 31, 2014 , investments in U.S. Treasury securities and obligations of U.S. government agencies were the only investments in any one issuer that exceeded 10% of shareholders' equity. At December 31, 2015 , the Company's ten largest equity holdings represented $1.8 billion , or 44% , of the equity portfolio. Investments in the property and casualty insurance industry represented $690.0 million , or 17% , of the equity portfolio at December 31, 2015 . Investments in the property and casualty insurance industry included a $414.1 million investment in the common stock of Berkshire Hathaway Inc. |