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Short-term borrowings | 12 Months Ended
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Dec. 31, 2019
Debt Disclosure [Abstract] |
Short-term borrowings | Short-Term Borrowings Short-term borrowings include federal funds purchased and securities sold under agreements to repurchase, trading liabilities, and other borrowed funds. Federal funds purchased and securities sold under agreements to repurchase generally have maturities of less than 90 days. Trading liabilities, which represent short positions in securities, are generally held for less than 90 days. Other short-term borrowings have original maturities of one year or less. On December 31, 2019, fixed income trading securities with a fair value of $41.3 million were pledged to secure other short-term borrowings. The detail of short-term borrowings for the years 2019, 2018 and 2017 is presented in the following table:
(Dollars in thousands) |  | Federal Funds Purchased |  | Securities Sold Under Agreements to Repurchase |  | Trading Liabilities |  | Other Short-term Borrowings
2019 |  |  |  |  |  |  |  |
Average balance |  | $ | 737,715 |  |  | $ | 701,164 |  |  | $ | 503,302 |  |  | $ | 538,249 |
Year-end balance |  | 548,344 |  |  | 716,925 |  |  | 505,581 |  |  | 2,253,045 |
Maximum month-end outstanding |  | 1,281,853 |  |  | 772,092 |  |  | 754,220 |  |  | 2,276,139 |
Average rate for the year |  | 2.08 | % |  | 1.89 | % |  | 2.48 | % |  | 2.34 | %
Average rate at year-end |  | 1.55 |  |  | 1.72 |  |  | 2.07 |  |  | 2.14 |
2018 |  |  |  |  |  |  |  |
Average balance |  | $ | 405,110 |  |  | $ | 713,841 |  |  | $ | 682,943 |  |  | $ | 1,046,585 |
Year-end balance |  | 256,567 |  |  | 762,592 |  |  | 335,380 |  |  | 114,764 |
Maximum month-end outstanding |  | 503,138 |  |  | 891,425 |  |  | 890,717 |  |  | 2,229,155 |
Average rate for the year |  | 1.89 | % |  | 1.40 | % |  | 2.83 | % |  | 1.82 | %
Average rate at year-end |  | 2.50 |  |  | 1.66 |  |  | 3.21 |  |  | 2.48 |
2017 |  |  |  |  |  |  |  |
Average balance |  | $ | 447,137 |  |  | $ | 578,666 |  |  | $ | 685,891 |  |  | $ | 554,502 |
Year-end balance |  | 399,820 |  |  | 656,602 |  |  | 638,515 |  |  | 2,626,213 |
Maximum month-end outstanding |  | 568,490 |  |  | 743,684 |  |  | 896,943 |  |  | 2,626,213 |
Average rate for the year |  | 1.06 | % |  | 0.72 | % |  | 2.26 | % |  | 1.28 | %
Average rate at year-end |  | 1.48 |  |  | 0.64 |  |  | 2.22 |  |  | 1.44 |

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- Definition The entire disclosure for short-term debt. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 470 -URI http://asc.fasb.org/topic&trid=2208564 + Details
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