Annuity Payout Calculator
Find the payout an annuity or nest egg supports for a number of years, or how long a payout lasts.
Change the values and press Calculate to work out your own figures.
Payout for a length
Enter the principal, rate, years and payout frequency.
Show the working
- payout = P × i ÷ (1 − (1 + i)^−n)
How long a payout lasts
Enter the principal, rate and payout.
Show the working
- length = −ln(1 − P × i ÷ payout) ÷ ln(1 + i)
How to use it
Enter the principal, rate, years and payout frequency. Enter the principal, rate and payout.
Enter amounts without commas or with them; rates are percentages (5 for 5%). Negative amounts are allowed where a sign means money paid out.
Key facts
payout = P × i ÷ (1 − (1 + i)^−n) (÷ (1 + i) if paid at the beginning) length = −ln(1 − P × i ÷ payout) ÷ ln(1 + i)
Questions
What monthly payout does $500,000 give for 10 years at 6%?
$5,511.20.
Formulas
payout = P × i ÷ (1 − (1 + i)^−n) (÷ (1 + i) if paid at the beginning) length = −ln(1 − P × i ÷ payout) ÷ ln(1 + i)
Sources
Limitations
- Results are estimates for planning, not offers or financial advice; lenders and banks may round, count days or time payments differently.
- Rates are nominal annual rates compounded as you choose; payments at a different frequency use the equivalent periodic rate.