PaymentMath

Mortgage & money

Compound interest calculator

Quick answer: Formula: FV = P(1+r)n + PMT × ((1+r)n − 1) ÷ r, with r = annual rate ÷ 12. $10,000 left for 20 years at a 7% annual return, compounded monthly, grows to about $40,387. Adding $200 a month as well takes it to about $144,600.

  • Standard finance formulas · rates you enter
  • Updated
  • Reviewed by Alex · How we calculate

Monthly compounding; returns are hypothetical.

Where do these numbers come from?

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By monthly amount

Formula: FV = P(1+r)n + PMT × ((1+r)n − 1) ÷ r, with r = annual rate ÷ 12.

For official background on compounding, see the SEC's Investor.gov compound interest calculator.

Worked example

$10,000 left for 20 years at a 7% annual return, compounded monthly, grows to about $40,387. Adding $200 a month as well takes it to about $144,600.

The rule of 72

Divide 72 by the annual rate to estimate how many years money takes to double: about 10 years at 7%, 18 years at 4%. Returns from investments vary year to year; the calculator uses a constant rate as an assumption.

Frequently asked questions

What is compound interest?

Interest earned on both your deposits and the interest already earned.

Does compounding frequency matter much?

A little: at 5%, monthly compounding gives 5.12% a year and daily gives 5.13%.

Should I adjust for inflation?

Subtract expected inflation from the return for a rough figure in today's dollars.