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Securities (Tables)
 6 Months Ended
Jun. 30, 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.
 
June 30, 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
$
2,554

 
$
13

 
$
4

 
$
2,563

 
$
2,737

 
$
8

 
$
85

 
$
2,660

States and political subdivisions
1,031,245

 
26,670

 
—

 
1,057,915

 
1,101,820

 
11,525

 
552

 
1,112,793

Other
1,500

 
—

 
—

 
1,500

 
1,500

 
—

 
—

 
1,500

Total
$
1,035,299

 
$
26,683

 
$
4

 
$
1,061,978

 
$
1,106,057

 
$
11,533

 
$
637

 
$
1,116,953

Available for Sale
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
U.S. Treasury
$
2,907,476

 
$
18,187

 
$
4,943

 
$
2,920,720

 
$
3,455,417

 
$
1,772

 
$
29,500

 
$
3,427,689

Residential mortgage-backed securities
2,212,761

 
36,354

 
1,403

 
2,247,712

 
823,208

 
13,079

 
6,547

 
829,740

States and political subdivisions
6,783,505

 
287,668

 
2,872

 
7,068,301

 
7,089,132

 
70,760

 
72,690

 
7,087,202

Other
42,780

 
—

 
—

 
42,780

 
42,690

 
—

 
—

 
42,690

Total
$
11,946,522

 
$
342,209

 
$
9,218

 
$
12,279,513

 
$
11,410,447

 
$
85,611

 
$
108,737

 
$
11,387,321
Securities, with Unrealized Losses Segregated by Length of Impairment As of June 30, 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
$
—

 
$
—

 
$
900

 
$
4

 
$
900

 
$
4

Total
$
—

 
$
—

 
$
900

 
$
4

 
$
900

 
$
4

Available for Sale
 
 
 
 
 
 
 
 
 
 
 
U.S. Treasury
$
—

 
$
—

 
$
1,819,942

 
$
4,943

 
$
1,819,942

 
$
4,943

Residential mortgage-backed securities
12,258

 
38

 
116,919

 
1,365

 
129,177

 
1,403

States and political subdivisions
49,020

 
1,279

 
186,554

 
1,593

 
235,574

 
2,872

Total
$
61,278

 
$
1,317

 
$
2,123,415

 
$
7,901

 
$
2,184,693

 
$
9,218
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 June 30, 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
$
21,334

 
$
21,546

 
$
1,974,510

 
$
1,968,237

Due after one year through five years
128,125

 
131,517

 
1,427,453

 
1,454,226

Due after five years through ten years
534,695

 
547,279

 
400,327

 
421,390

Due after ten years
348,591

 
359,073

 
5,888,691

 
6,145,168

Residential mortgage-backed securities
2,554

 
2,563

 
2,212,761

 
2,247,712

Equity securities
—

 
—

 
42,780

 
42,780

Total
$
1,035,299

 
$
1,061,978

 
$
11,946,522

 
$
12,279,513
Sales of Securities Available for Sale Sales of securities available for sale were as follows:
 
Three Months Ended 
 June 30,
 
Six Months Ended 
 June 30,
 
2019
 
2018
 
2019
 
2018
Proceeds from sales
$
2,346,626

 
$
7,905,521

 
$
3,291,529

 
$
10,890,388

Gross realized gains
803

 
3

 
803

 
3

Gross realized losses
(634
)
 
(63
)
 
(634
)
 
(82
)
Tax (expense) benefit of securities gains/losses
(35
)
 
13

 
(35
)
 
17
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 
 June 30,
 
Six Months Ended 
 June 30,
 
2019
 
2018
 
2019
 
2018
Premium amortization
$
(29,408
)
 
$
(26,689
)
 
$
(59,287
)
 
$
(52,723
)
Discount accretion
1,378

 
2,010

 
2,561

 
3,787

Net (premium amortization) discount accretion
$
(28,030
)
 
$
(24,679
)
 
$
(56,726
)
 
$
(48,936
)
Trading Account Securities, at Estimated Fair Value Trading account securities, at estimated fair value, were as follows:
 
June 30,
2019
 
December 31,
2018
U.S. Treasury
$
22,642

 
$
21,928

States and political subdivisions
2,840

 
2,158

Total
$
25,482

 
$
24,086
Net Gains and Losses on Trading Account Securities
Net gains and losses on trading account securities were as follows:
 
Three Months Ended 
 June 30,
 
Six Months Ended 
 June 30,
 
2019
 
2018
 
2019
 
2018
Net gain on sales transactions
$
552

 
$
434

 
$
1,058

 
$
939

Net mark-to-market gains (losses)
27

 
23

 
31

 
(13
)
Net gain (loss) on trading account securities
$
579

 
$
457

 
$
1,089

 
$
926