Annuity Calculator

Future and present value of a series of equal payments.

Annuity Calculator

Worked example result
Future value$1,268.25
Present value$1,125.51
Total payments made$1,200.00
Interest component of FV$68.25

Paying $100 monthly for a year at 12% accumulates to $1,268.25 — $68.25 of interest on $1,200 paid in.

An annuity is a series of equal payments at regular intervals — pension payouts, insurance settlements, lottery installments or systematic deposits.

This calculator gives both the future value of the payment stream and its present value, for payments at the end of each period (ordinary annuity) or the start (annuity due).

The formula

FV = C · ((1+i)^n − 1)/i; PV = C · (1 − (1+i)^−n)/i, where i = rate per period

Worked example

Paying $100 monthly for a year at 12% accumulates to $1,268.25 — $68.25 of interest on $1,200 paid in.

The example is pre-loaded in the result panel — press Calculate with your own numbers to replace it.

Frequently asked questions

What is the difference between an ordinary annuity and an annuity due?

Timing. Ordinary annuity payments arrive at the end of each period; annuity-due payments at the start, so each payment earns one extra period of interest.

How do I value a pension or settlement offer?

Use the present value result: it is the lump sum today that is financially equivalent to the payment stream at the rate you enter.

Category: Finance calculators