Present value of annuity calculator

Ordinary annuity present value = payment × (1 − (1 + rate)^−payments) ÷ rate.

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Payment each period

Discount rate per period (%)

More inputs and assumptions

Number of payments

Answer

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Ordinary annuity present value = payment × (1 − (1 + rate)^−payments) ÷ rate.

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Precision and calculation record

Decimal places in numeric results and text downloads

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

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Formula and assumptions

Payments occur at the end of each period. The discount rate must use the same period; beginning-of-period payments require an annuity-due adjustment.

Automatic precision shows money to two decimal places and other numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Updated 2026-09-26

Using Present value of annuity calculator

Ordinary annuity present value = payment × (1 − (1 + rate)^−payments) ÷ rate.

Payments occur at the end of each period. The discount rate must use the same period; beginning-of-period payments require an annuity-due adjustment.

Next: Future value of annuity calculator

A worked example

With payment each period = 110, discount rate per period (%) = 10, number of payments = 2, the present value of payments is 190.91 (rounded to two decimal places).

Next: Financial calculator

Before you use the result

Payments occur at the end of each period. The discount rate must use the same period; beginning-of-period payments require an annuity-due adjustment. Calculations keep full browser-number precision. Money amounts are displayed to two decimal places; other results use up to 12 significant digits. Very large values may lose precision.

Example results for payment each period

These examples use Discount rate per period (%): 10; Number of payments: 2. They are reference calculations, not recommended settings.

Payment each period	Present value of payments
55	95.45
110	190.91
220	381.82

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