For variable rate performing loans, the carrying amount approximates the fair value. For fixed rate performing loans, except residential mortgage loans, the fair value is calculated by discounting scheduled cash flows through the estimated maturity using estimated market discount rates that reflect the credit and interest rate risk inherent in the loan. For performing residential mortgage loans, fair value is estimated by discounting contractual cash flows adjusted for prepayment estimates using discount rates based on secondary market sources or the primary origination market. Fixed rate performing loans are within Level 3 of the fair value hierarchy. At December 31, 2020 and December 31, 2019, the carrying amount of fixed rate performing loans was $1,812,413,000 and $1,503,811,000, respectively, and the estimated fair value was $1,747,257,000 and $1,481,239,000, respectively.
Accrued Interest
The carrying amounts of accrued interest approximate fair value.
Deposits
The fair value of deposits with no stated maturity, such as non-interest bearing demand deposit accounts, savings accounts and interest-bearing demand deposit accounts, was equal to the amount payable on demand as of December 31, 2020 and December 31, 2019. The fair value of time deposits is based on the discounted value of contractual cash flows. The discount rate is based on currently offered rates. Time deposits are within Level 3 of the fair value hierarchy. At December 31, 2020 and December 31, 2019, the carrying amount of time deposits was $2,153,541,000 and $2,012,300,000, respectively, and the estimated fair value was $2,148,976,000 and $2,011,950,000, respectively.
Securities Sold Under Repurchase Agreements
Securities sold under repurchase agreements are short-term maturities. Due to the contractual terms of the instruments, the carrying amounts approximated fair value at December 31, 2020 and December 31, 2019.
Junior Subordinated Deferrable Interest Debentures
We currently have floating rate junior subordinated deferrable interest debentures outstanding. Due to the contractual terms of the floating rate junior subordinated deferrable interest debentures, the carrying amounts approximated fair value at December 31, 2020 and December 31, 2019.
Other Borrowed Funds
We currently have long-term borrowings issued from the Federal Home Loan Bank (“FHLB”). At December 31, 2019, we also held some also short-term borrowings. Due to the contractual terms of the short-term borrowings, the carrying amounts approximated fair value at December 31, 2019. The long-term borrowings outstanding at December 31, 2020 and December 31, 2019 are fixed-rate borrowings and the fair value is based on established market spreads for similar types of borrowings. The fixed-rate long-term borrowings are included in Level 2 of the fair value hierarchy. At December 31, 2020, and December 31, 2019 the carrying amount of the fixed-rate long-term FHLB borrowings was $436,372,000 and $436,511,000, respectively and the estimated fair value was $480,475,000 and $465,017,000 respectively.
Commitments to Extend Credit and Letters of Credit
Commitments to extend credit and fund letters of credit are principally at current interest rates and therefore the carrying amount approximates fair value.
Limitations
Fair value estimates are made at a point in time, based on relevant market information and information about the financial instrument. These estimates do not reflect any premium or discount that could result from offering for sale at one time of our entire holdings of a particular financial instrument. Because no market exists for a significant portion of our