Annuity calculator
Calculate the periodic payment for an annuity given present value, interest rate, and number of periods.
Present value ($)
Annual rate (%)
Years
Annuity payment formula
PMT = PV × r / [1 − (1+r)^(−n)]
Where PV = present value, r = periodic interest rate, n = number of periods.
Types of annuities
Ordinary annuity: Payments at the end of each period (most common — loans, mortgages).
Annuity due: Payments at the beginning of each period (rent, insurance premiums).
Example
$100,000 at 5% for 20 years: PMT = $100,000 × 0.05/[1 − 1.05^(−20)] ≈ $8,024.26/year.
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