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Securities (Tables)
 3 Months Ended
Mar. 31, 2019
Investments, Debt and Equity Securities [Abstract]  
Amortized Cost and Estimated Fair Value of Securities, Excluding Trading Securities A summary of the amortized cost and estimated fair value of securities, excluding trading securities, is presented below.
 
March 31, 2019
 
December 31, 2018
 
Amortized
Cost
 
Gross
Unrealized
Gains
 
Gross
Unrealized
Losses
 
Estimated
Fair Value
 
Amortized
Cost
 
Gross
Unrealized
Gains
 
Gross
Unrealized
Losses
 
Estimated
Fair Value
Held to Maturity
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Residential mortgage-backed securities
$
2,656

 
$
6

 
$
53

 
$
2,609

 
$
2,737

 
$
8

 
$
85

 
$
2,660

States and political subdivisions
1,073,123

 
20,628

 
2

 
1,093,749

 
1,101,820

 
11,525

 
552

 
1,112,793

Other
1,500

 
—

 
—

 
1,500

 
1,500

 
—

 
—

 
1,500

Total
$
1,077,279

 
$
20,634

 
$
55

 
$
1,097,858

 
$
1,106,057

 
$
11,533

 
$
637

 
$
1,116,953

Available for Sale
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
U.S. Treasury
$
3,455,925

 
$
5,314

 
$
16,171

 
$
3,445,068

 
$
3,455,417

 
$
1,772

 
$
29,500

 
$
3,427,689

Residential mortgage-backed securities
1,210,179

 
20,610

 
3,354

 
1,227,435

 
823,208

 
13,079

 
6,547

 
829,740

States and political subdivisions
7,130,105

 
181,170

 
12,549

 
7,298,726

 
7,089,132

 
70,760

 
72,690

 
7,087,202

Other
42,734

 
—

 
—

 
42,734

 
42,690

 
—

 
—

 
42,690

Total
$
11,838,943

 
$
207,094

 
$
32,074

 
$
12,013,963

 
$
11,410,447

 
$
85,611

 
$
108,737

 
$
11,387,321
Securities, with Unrealized Losses Segregated by Length of Impairment As of March 31, 2019, securities with unrealized losses, segregated by length of impairment, were as follows:
 
Less than 12 Months
 
More than 12 Months
 
Total
 
Estimated
Fair Value
 
Unrealized
Losses
 
Estimated
Fair Value
 
Unrealized
Losses
 
Estimated
Fair Value
 
Unrealized
Losses
Held to Maturity
 
 
 
 
 
 
 
 
 
 
 
Residential mortgage-backed securities
$
—

 
$
—

 
$
2,039

 
$
53

 
$
2,039

 
$
53

States and political subdivisions
—

 
—

 
2,361

 
2

 
2,361

 
2

Total
$
—

 
$
—

 
$
4,400

 
$
55

 
$
4,400

 
$
55

Available for Sale
 
 
 
 
 
 
 
 
 
 
 
U.S. Treasury
$
—

 
$
—

 
$
3,153,533

 
$
16,171

 
$
3,153,533

 
$
16,171

Residential mortgage-backed securities
1,716

 
1

 
183,952

 
3,353

 
185,668

 
3,354

States and political subdivisions
58,884

 
1,333

 
739,744

 
11,216

 
798,628

 
12,549

Total
$
60,600

 
$
1,334

 
$
4,077,229

 
$
30,740

 
$
4,137,829

 
$
32,074
Amortized Cost and Estimated Fair Value of Securities, Excluding Trading Securities, Presented by Contractual Maturity The amortized cost and estimated fair value of securities, excluding trading securities, at March 31, 2019 are presented below by contractual maturity. Expected maturities may differ from contractual maturities because issuers may have the right to call or prepay obligations. Residential mortgage-backed securities and equity securities are shown separately since they are not due at a single maturity date.
 
Held to Maturity
 
Available for Sale
 
Amortized
Cost
 
Estimated
Fair Value
 
Amortized
Cost
 
Estimated
Fair Value
Due in one year or less
$
58,032

 
$
58,525

 
$
2,606,267

 
$
2,593,167

Due after one year through five years
128,835

 
131,725

 
1,662,791

 
1,673,779

Due after five years through ten years
505,528

 
514,331

 
375,007

 
390,443

Due after ten years
382,228

 
390,668

 
5,941,965

 
6,086,405

Residential mortgage-backed securities
2,656

 
2,609

 
1,210,179

 
1,227,435

Equity securities
—

 
—

 
42,734

 
42,734

Total
$
1,077,279

 
$
1,097,858

 
$
11,838,943

 
$
12,013,963
Sales of Securities Available for Sale Sales of securities available for sale were as follows:
 
Three Months Ended 
 March 31,
 
2019
 
2018
Proceeds from sales
$
944,903

 
$
2,984,867

Gross realized gains
—

 
—

Gross realized losses
—

 
(19
)
Tax (expense) benefit of securities gains/losses
—

 
4
Premium Amortization and Discount Accretion Included in Income on Securities [Table Text Block] Premium amortization and discount accretion included in interest income on securities was as follows:
 
Three Months Ended 
 March 31,
 
2019
 
2018
Premium amortization
$
(29,879
)
 
$
(26,036
)
Discount accretion
1,183

 
1,776

Net (premium amortization) discount accretion
$
(28,696
)
 
$
(24,260
)
Trading Account Securities, at Estimated Fair Value Trading account securities, at estimated fair value, were as follows:
 
March 31,
2019
 
December 31,
2018
U.S. Treasury
$
22,503

 
$
21,928

States and political subdivisions
2,728

 
2,158

Total
$
25,231

 
$
24,086
Net Gains and Losses on Trading Account Securities Net gains and losses on trading account securities were as follows:
 
Three Months Ended 
 March 31,
 
2019
 
2018
Net gain on sales transactions
$
506

 
$
505

Net mark-to-market gains (losses)
4

 
(36
)
Net gain (loss) on trading account securities
$
510

 
$
469