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Fair Value Measurements (Tables)
 9 Months Ended
Sep. 30, 2022
Fair Value Disclosures [Abstract]  
Valuation of Financial Instruments that are Marked-to-Market on Recurring Basis
The following table summarizes the valuation of our financial instruments that are marked to fair value on a recurring basis.
 Fair Value Measurements on a Recurring Basis
 September 30, 2022December 31, 2021
(Dollars in thousands)Level 1 Level 2 Level 3 Total Level 1 Level 2 Level 3 Total 
Assets:
Trading investments$— $— $52,450 $52,450 $— $— $37,465 $37,465 
Available-for-sale investments— 2,427,540 — 2,427,540 — 2,517,956 — 2,517,956 
Derivative instruments— 2,172 — 2,172 — 1,322 — 1,322 
Total$— $2,429,712 $52,450 $2,482,162 $— $2,519,278 $37,465 $2,556,743 
Liabilities:
Derivative instruments$— $(1,051)$— $(1,051)$— $(252)$— $(252)
Total$— $(1,051)$— $(1,051)$— $(252)$— $(252)
Fair Values of Financial Assets and Liabilities, Including Derivative Financial Instruments
The following table summarizes the fair values of our financial assets and liabilities, including derivative financial instruments.
 September 30, 2022December 31, 2021
(Dollars in thousands)Fair
Value		Carrying
Value		DifferenceFair
Value		Carrying
Value		Difference
Earning assets:
Loans held for investment, net:
Private Education Loans$20,932,120 $18,980,852 $1,951,268 $22,919,836 $19,625,374 $3,294,462 
FFELP Loans653,268 641,450 11,818 705,644 692,954 12,690 
Credit Cards— — — 25,037 22,955 2,082 
Loans held for sale28,880 28,880 — — — — 
Cash and cash equivalents4,846,754 4,846,754 — 4,334,603 4,334,603 — 
Trading investments52,450 52,450 — 37,465 37,465 — 
Available-for-sale investments2,427,540 2,427,540 — 2,517,956 2,517,956 — 
Accrued interest receivable1,262,493 1,223,647 38,846 1,306,410 1,205,667 100,743 
Tax indemnification receivable8,392 8,392 — 8,047 8,047 — 
Derivative instruments2,172 2,172 — 1,322 1,322 — 
Total earning assets$30,214,069 $28,212,137 $2,001,932 $31,856,320 $28,446,343 $3,409,977 
Interest-bearing liabilities:
Money-market and savings accounts$11,885,984 $12,001,240 $115,256 $11,457,490 $11,432,691 $(24,799)
Certificates of deposit8,977,283 9,274,941 297,658 9,451,528 9,394,001 (57,527)
Long-term borrowings5,163,501 5,522,311 358,810 6,000,174 5,930,990 (69,184)
Accrued interest payable71,907 71,907 — 46,600 46,600 — 
Derivative instruments1,051 1,051 — 252 252 — 
Total interest-bearing liabilities$26,099,726 $26,871,450 $771,724 $26,956,044 $26,804,534 $(151,510)
Excess of net asset fair value over carrying value$2,773,656 $3,258,467