The rediscount rate is the rate applied when a central bank or other institution discounts eligible paper previously acquired by a bank.
The rediscount rate is the annualized rate applied when a central bank or another institution discounts eligible paper that a bank previously acquired. In some jurisdictions and historical sources, the label also refers more broadly to an official central-bank lending rate, but it should not automatically be substituted for the current name or pricing method of a modern liquidity facility.
For paper quoted on a simple discount basis:
where:
P is the cash proceeds;F is face or maturity value;d is the rediscount rate;D is remaining days to maturity; andB is the specified annualization basis, such as 360 or 365.The discount deducted is:
Because the calculation uses face value rather than proceeds, the quoted rediscount rate is not automatically the recipient’s price-based investment yield or effective annual cost.
Assume eligible paper has:
Under a face-value rediscount, the deduction is:
The cash proceeds are:
Now suppose a different facility makes a 45-day advance of $248,500 and charges simple interest at the same numerical 4.80% rate:
The $9 difference arises because the rediscount applies the rate to $250,000 face value while the advance applies it to $248,500 principal. Actual facilities can also differ in collateral haircut, fees, compounding, and repayment timing.
| Rate | What it prices | Main distinction |
|---|---|---|
| Rediscount rate | Classical discount of eligible paper | Commonly applied to face value for remaining maturity |
| Discount-window advance rate | Central-bank loan to an eligible institution | Interest charged on an advance secured by collateral |
| Bank Rate | Official rate under a named central-bank framework | Meaning differs by country and period |
| Federal funds rate | U.S. overnight reserve-balance market rate | Market rate influenced by the Federal Reserve’s implementation framework |
| Interest on reserve balances | Rate paid by a central bank on eligible reserve balances | Administered liability-side rate, not bank borrowing cost |
| Securities discount yield | Quote on a discount instrument | Market yield convention rather than facility access rate |
| Valuation discount rate | Rate used to present-value future cash flows | Analytical input unrelated to central-bank paper rediscounting |
Always identify the institution, facility, currency, effective date, and calculation basis.
The Federal Reserve’s current public materials describe three discount-window programs:
The relevant rates apply to advances and any qualifying discounts under Regulation A. However, using “the rediscount rate” as if it were one current Federal Reserve policy rate can obscure the program, borrower status, term, and legal form.
The federal funds target range and other administered rates are part of the broader monetary-policy implementation framework. A discount-window rate is connected to that framework but is not the federal funds rate itself.
Holding face value and days constant, a higher discount-basis rate produces a larger deduction and lower proceeds. Holding the rate constant, a longer remaining term also produces a larger deduction.
The economic cost can still differ from this simple relationship because:
A central bank can alter a rediscount or lending rate to change the price of its credit. The effect on the financial system depends on more than the direction of the rate change.
Transmission can be weak when banks rarely use the facility, lack eligible assets, face binding quotas, prefer market funding, or perceive a stigma or supervisory cost. Transmission can be stronger when central-bank credit is an important marginal funding source.
Some historical frameworks used differential rediscount rates or eligibility rules to favor particular sectors. That practice combines liquidity policy with credit allocation and should not be treated as a universal feature of central banking.
The headline rate is only one part of the financing decision. A bank should evaluate:
For example, a 5% lending rate against collateral subject to a 20% haircut does not mean the bank can borrow the collateral’s full market value at 5%.
A posted rediscount rate does not guarantee access, liquidity, solvency support, or pass-through to customers. Institutions can face eligibility failure, collateral shortfalls, documentation problems, recourse exposure, rate changes, and repayment obligations. Historical terminology can also mislead when applied to modern facilities that use different legal and operational structures.
This page provides general financial education, not individualized banking, monetary-policy, legal, regulatory, tax, or accounting advice.