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Allowance for Loan Losses - Loan Status and Aging of Past Due TDR Loans (Detail) - USD ($) $ in Thousands | Mar. 31, 2019 | Dec. 31, 2018 | Mar. 31, 2018 | Dec. 31, 2017
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TDR loans in repayment and percentage of each status: |  |  |  |
Allowance for loan losses | $ (358,325) | $ (341,121) | $ (272,123) | $ (251,475)
Loans held for investment, net | 23,498,386 | 22,270,919 |  |
Student Loan | Consumer Portfolio Segment | Troubled Debt Restructured Loans |  |  |  |
Accounts, Notes, Loans and Financing Receivable [Line Items] |  |  |  |
TDR loans in in-school/grace/deferment | 77,327 | 69,212 |  |
TDR loans in forbearance | 79,410 | 69,796 |  |
TDR loans in repayment and percentage of each status: |  |  |  |
Loans current | 1,044,676 | 994,411 |  |
Total TDR loans in repayment | $ 1,170,931 | $ 1,118,848 |  |
Loans current (as a percentage) | 89.20% | 88.90% |  |
Total TDR loans in repayment | 100.00% | 100.00% |  |
Total Private Education Loans, gross | $ 1,327,668 | $ 1,257,856 |  |
Student Loan | Consumer Portfolio Segment | Loans delinquent 31-60 days | Troubled Debt Restructured Loans |  |  |  |
TDR loans in repayment and percentage of each status: |  |  |  |
Loans delinquent | $ 61,698 | $ 63,074 |  |
Loans delinquent (as a percentage) | 5.30% | 5.60% |  |
Student Loan | Consumer Portfolio Segment | Loans delinquent 61-90 days | Troubled Debt Restructured Loans |  |  |  |
TDR loans in repayment and percentage of each status: |  |  |  |
Loans delinquent | $ 39,349 | $ 36,804 |  |
Loans delinquent (as a percentage) | 3.40% | 3.30% |  |
Student Loan | Consumer Portfolio Segment | Loans delinquent, greater than 90 days | Troubled Debt Restructured Loans |  |  |  |
TDR loans in repayment and percentage of each status: |  |  |  |
Loans delinquent | $ 25,208 | $ 24,559 |  |
Loans delinquent (as a percentage) | 2.10% | 2.20% |  |

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