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Securities (Tables) | 12 Months Ended
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Dec. 31, 2020
Investments, Debt and Equity Securities [Abstract] |
Debt Securities, Held-to-maturity | A summary of the amortized cost, fair value and allowance for credit losses related to securities held to maturity as of December 31, 2020 and 2019 is presented below.
| Amortized Cost |  | Gross Unrealized Gains |  | Gross Unrealized Losses |  | Estimated Fair Value |  | Allowance for Credit Losses |  | Net Carrying Amount
December 31, 2020 |  |  |  |  |  |  |  |  |  |  |
Residential mortgage-backed securities | $ | 528,784 |  |  | $ | 41,742 |  |  | $ | — |  |  | $ | 570,526 |  |  | $ | — |  |  | $ | 528,784 |
States and political subdivisions | 1,415,549 |  |  | 65,321 |  |  | — |  |  | 1,480,870 |  |  | (160) |  |  | 1,415,389 |
Other | 1,500 |  |  | — |  |  | — |  |  | 1,500 |  |  | — |  |  | 1,500 |
Total | $ | 1,945,833 |  |  | $ | 107,063 |  |  | $ | — |  |  | $ | 2,052,896 |  |  | $ | (160) |  |  | $ | 1,945,673 |
December 31, 2019 |  |  |  |  |  |  |  |  |  |  |
Residential mortgage-backed securities | $ | 530,861 |  |  | $ | 22 |  |  | $ | 9,365 |  |  | $ | 521,518 |  |  | $ | — |  |  | $ | 530,861 |
States and political subdivisions | 1,497,644 |  |  | 28,909 |  |  | 896 |  |  | 1,525,657 |  |  | — |  |  | 1,497,644 |
Other | 1,500 |  |  | — |  |  | — |  |  | 1,500 |  |  | — |  |  | 1,500 |
Total | $ | 2,030,005 |  |  | $ | 28,931 |  |  | $ | 10,261 |  |  | $ | 2,048,675 |  |  | $ | — |  |  | $ | 2,030,005 |
Moody's and Standard & Poor's Bond Ratings | The following table summarizes Moody's and/or Standard & Poor's bond ratings for our portfolio of held-to-maturity securities issued by States and political subdivisions and other securities as of December 31, 2020:
| States and Political Subdivisions |  |
| Not Guaranteed or Pre-Refunded |  | Guaranteed by the Texas PSF |  | Pre-Refunded |  | Total |  | Other Securities
Aaa/AAA | $ | 115,016 |  |  | $ | 659,999 |  |  | $ | 470,745 |  |  | $ | 1,245,760 |  |  | $ | — |
Aa/AA | 107,065 |  |  | — |  |  | — |  |  | 107,065 |  |  | — |
A | 62,724 |  |  | — |  |  | — |  |  | 62,724 |  |  | — |
Not rated | — |  |  | — |  |  | — |  |  | — |  |  | 1,500 |
Total | $ | 284,805 |  |  | $ | 659,999 |  |  | $ | 470,745 |  |  | $ | 1,415,549 |  |  | $ | 1,500 |
Debt Securities, Held-to-maturity, Allowance for Credit Loss | The following table details activity in the allowance for credit losses on held-to-maturity securities during 2020.
Beginning balance |  | $ | — |
Impact of adopting ASC 326 |  | 215 |
Credit loss expense (benefit) |  | (55) |
Ending balance |  | $ | 160 |
Debt Securities, Available-for-sale | A summary of the amortized cost, fair value and allowance for credit losses related to securities available for sale as of December 31, 2020 and 2019 is presented below.
| Amortized Cost |  | Gross Unrealized Gains |  | Gross Unrealized Losses |  | Allowance for Credit Losses |  | Estimated Fair Value
December 31, 2020 |  |  |  |  |  |  |  |  |
U.S. Treasury | $ | 1,084,542 |  |  | $ | 35,091 |  |  | $ | — |  |  | $ | — |  |  | $ | 1,119,633 |
Residential mortgage-backed securities | 1,916,581 |  |  | 71,102 |  |  | 4 |  |  | — |  |  | 1,987,679 |
States and political subdivisions | 6,683,927 |  |  | 603,975 |  |  | — |  |  | — |  |  | 7,287,902 |
Other | 42,351 |  |  | — |  |  | — |  |  | — |  |  | 42,351 |
Total | $ | 9,727,401 |  |  | $ | 710,168 |  |  | $ | 4 |  |  | $ | — |  |  | $ | 10,437,565 |
December 31, 2019 |  |  |  |  |  |  |  |  |
U.S. Treasury | $ | 1,941,283 |  |  | $ | 18,934 |  |  | $ | 12,084 |  |  | $ | — |  |  | $ | 1,948,133 |
Residential mortgage-backed securities | 2,176,275 |  |  | 32,608 |  |  | 1,289 |  |  | — |  |  | 2,207,594 |
States and political subdivisions | 6,717,344 |  |  | 353,857 |  |  | 204 |  |  | — |  |  | 7,070,997 |
Other | 42,867 |  |  | — |  |  | — |  |  | — |  |  | 42,867 |
Total | $ | 10,877,769 |  |  | $ | 405,399 |  |  | $ | 13,577 |  |  | $ | — |  |  | $ | 11,269,591 |
Year End Securities with Unrealized Losses, Segregated by Length of Impairment | The table below summarizes, as of December 31, 2020, securities available for sale in an unrealized loss position for which an allowance for credit losses has not been recorded, aggregated by type of security and length of time in a continuous unrealized loss position.
| Less than 12 Months |  | More than 12 Months |  | Total
| Estimated Fair Value |  | Unrealized Losses |  | Estimated Fair Value |  | Unrealized Losses |  | Estimated Fair Value |  | Unrealized Losses
Residential mortgage-backed securities | $ | 1,711 |  |  | $ | 3 |  |  | $ | 121 |  |  | $ | 1 |  |  | $ | 1,832 |  |  | $ | 4 |
Total | $ | 1,711 |  |  | $ | 3 |  |  | $ | 121 |  |  | $ | 1 |  |  | $ | 1,832 |  |  | $ | 4 |
Amortized Cost and Estimated Fair Value of Securities, Excluding Trading Securities, Presented by Contractual Maturity | The following table summarizes the maturity distribution schedule of securities held to maturity and securities available for sale as of December 31, 2020. Mortgage-backed securities are included in maturity categories based on their stated maturity date. Expected maturities may differ from contractual maturities because issuers may have the right to call or prepay obligations. Other securities classified as available for sale include stock in the Federal Reserve Bank and the Federal Home Loan Bank, which have no maturity date. These securities have been included in the total column only.
| Within 1 Year |  | 1 - 5 Years |  | 5 - 10 Years |  | After 10 Years |  | Total
Held To Maturity |  |  |  |  |  |  |  |  |
Amortized Cost |  |  |  |  |  |  |  |  |
Residential mortgage-backed securities | $ | 22 |  |  | $ | 165 |  |  | $ | 516,118 |  |  | $ | 12,479 |  |  | $ | 528,784 |
States and political subdivisions | 155,941 |  |  | 463,302 |  |  | 207,076 |  |  | 589,230 |  |  | 1,415,549 |
Other | — |  |  | 1,500 |  |  | — |  |  | — |  |  | 1,500 |
Total | $ | 155,963 |  |  | $ | 464,967 |  |  | $ | 723,194 |  |  | $ | 601,709 |  |  | $ | 1,945,833 |
Estimated Fair Value |  |  |  |  |  |  |  |  |
Residential mortgage-backed securities | $ | 22 |  |  | $ | 167 |  |  | $ | 556,610 |  |  | $ | 13,727 |  |  | $ | 570,526 |
States and political subdivisions | 156,689 |  |  | 480,530 |  |  | 212,937 |  |  | 630,714 |  |  | 1,480,870 |
Other | — |  |  | 1,500 |  |  | — |  |  | — |  |  | 1,500 |
Total | $ | 156,711 |  |  | $ | 482,197 |  |  | $ | 769,547 |  |  | $ | 644,441 |  |  | $ | 2,052,896 |
Available For Sale |  |  |  |  |  |  |  |  |
Amortized Cost |  |  |  |  |  |  |  |  |
U. S. Treasury | $ | 798,742 |  |  | $ | 285,800 |  |  | $ | — |  |  | $ | — |  |  | $ | 1,084,542 |
Residential mortgage-backed securities | 11,833 |  |  | 25,336 |  |  | 22,583 |  |  | 1,856,829 |  |  | 1,916,581 |
States and political subdivisions | 199,697 |  |  | 1,323,635 |  |  | 638,720 |  |  | 4,521,875 |  |  | 6,683,927 |
Other | — |  |  | — |  |  | — |  |  | — |  |  | 42,351 |
Total | $ | 1,010,272 |  |  | $ | 1,634,771 |  |  | $ | 661,303 |  |  | $ | 6,378,704 |  |  | $ | 9,727,401 |
Estimated Fair Value |  |  |  |  |  |  |  |  |
U. S. Treasury | $ | 811,778 |  |  | $ | 307,855 |  |  | $ | — |  |  | $ | — |  |  | $ | 1,119,633 |
Residential mortgage-backed securities | 12,278 |  |  | 26,724 |  |  | 23,116 |  |  | 1,925,561 |  |  | 1,987,679 |
States and political subdivisions | 201,166 |  |  | 1,442,871 |  |  | 694,760 |  |  | 4,949,105 |  |  | 7,287,902 |
Other | — |  |  | — |  |  | — |  |  | — |  |  | 42,351 |
Total | $ | 1,025,222 |  |  | $ | 1,777,450 |  |  | $ | 717,876 |  |  | $ | 6,874,666 |  |  | $ | 10,437,565 |
Sales of Securities Available for Sale | Sales of securities available for sale were as follows:
| 2020 |  | 2019 |  | 2018
Proceeds from sales | $ | 1,162,352 |  |  | $ | 18,660,147 |  |  | $ | 16,806,062 |
Gross realized gains | 108,989 |  |  | 930 |  |  | 3 |
Gross realized losses | — |  |  | (637) |  |  | (159) |
Tax benefit (expense) related to securities gains/losses | (22,888) |  |  | (62) |  |  | 33 |
Premium Amortization and Discount Accretion Included in Income on Securities | Premium amortization and discount accretion included in interest income on securities was as follows:
| 2020 |  | 2019 |  | 2018
Premium amortization | $ | (126,210) |  |  | $ | (120,785) |  |  | $ | (108,483) |
Discount accretion | 2,425 |  |  | 5,227 |  |  | 7,955 |
Net (premium amortization) discount accretion | $ | (123,785) |  |  | $ | (115,558) |  |  | $ | (100,528) |
Year End Trading Account Securities, at Estimated Fair Value | Year-end trading account securities, at estimated fair value, were as follows:
| 2020 |  | 2019
U.S. Treasury | $ | 23,996 |  |  | $ | 24,298 |
States and political subdivisions | 460 |  |  | — |
Total | $ | 24,456 |  |  | $ | 24,298 |
Net Gains and Losses on Trading Account Securities | Net gains and losses on trading account securities were as follows:
| 2020 |  | 2019 |  | 2018
Net gain on sales transactions | $ | 1,102 |  |  | $ | 2,173 |  |  | $ | 1,816 |
Net mark-to-market gains (losses) | 85 |  |  | (176) |  |  | 105 |
Net gain on trading account securities | $ | 1,187 |  |  | $ | 1,997 |  |  | $ | 1,921 |

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