Annuity payment from future value calculator

Enter the target future value, the interest rate for each period, the number of periods, and whether deposits occur at the beginning or end. The result separates the amount you contribute from the interest earned, making it useful for savings plans, reserve funds, replacement budgets, and any goal funded through regular deposits.

Match the rate to the deposit period

The most important input is the periodic rate, because it must describe the same interval as the deposits and the period count. If you deposit monthly, enter a monthly percentage rate and count months. If you deposit quarterly, use a quarterly rate and count quarters. Do not enter an annual percentage rate unchanged while counting monthly periods; that mixes units and produces a misleading payment. When a nominal annual rate compounds monthly, a common conversion is to divide that nominal rate by twelve. When you have an effective annual rate, the equivalent monthly rate instead comes from taking the twelfth root of one plus the annual rate and subtracting one. The calculator deliberately asks for the periodic rate so it does not silently assume a conversion convention. Enter zero when the balance earns no interest. In that case, the required payment is simply the target divided by the number of deposits. Keep the target and returned payment in one currency, since no currency conversion is performed.

Understand end and beginning deposits

Choose end for an ordinary annuity, where each contribution is made after that period has elapsed. This pattern often matches payroll savings deposited at month-end or a reserve contribution posted after each accounting period. Choose beginning for an annuity due, where every contribution is made at the start of the period. A beginning deposit earns interest for one additional period, so the required payment is lower whenever the rate is positive. The calculation first finds the future-value accumulation factor for a sequence of end-of-period deposits. For beginning deposits, it increases that factor by one period of growth. The target is then divided by the applicable factor. This distinction matters even when all other inputs are identical, and its effect grows with the rate and number of periods. Confirm the timing against the real cash-flow schedule rather than choosing the option that gives the more attractive result. At a zero rate, timing makes no numerical difference because deposits do not earn growth.

Read the result and test your assumptions

The periodic payment is the mathematically level deposit needed under the supplied assumptions. Total deposits multiply that payment by the number of periods, while interest earned is the target future value minus those deposits. A positive fixed rate can make total deposits smaller than the target because investment growth supplies the difference. The output uses more decimal places than a typical currency payment so automated plans can preserve accuracy. In practice, if deposits must be made to the nearest cent, rounding the payment upward is the cautious choice; rounding down can leave a small shortfall. The calculation assumes the rate remains fixed, every deposit is made on schedule, interest compounds once per stated period, and there are no taxes, fees, withdrawals, or opening balance. Use scenarios with lower and higher rates to understand sensitivity instead of treating one forecast as guaranteed. For a real plan, periodically compare the actual balance with the target path and recalculate the remaining payment when returns or timing differ from the original assumptions.