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Payback Period Calculator

Find how many years it takes a level annual cash flow to recover an initial investment, both as a simple payback period and a discounted one.

Simple payback period
4 years
Discounted payback period
5.01 years

How it works

The simple payback period is the most direct capital-budgeting question there is: how many years of the same annual cash flow does it take to recover the money put in? It's just initial investment ÷ annual cash flow, with no adjustment for the time value of money — a dollar received in year 5 counts exactly as much as a dollar received today.

The discounted payback period asks the same question, but values each future year's cash flow at today's money first. For a level annual cash flow C discounted at rate r, the present value of n years of it is C/r × (1 − (1+r)⁻ⁿ); setting that equal to the investment I and solving for n gives n = −ln(1 − I·r/C) ÷ ln(1+r). Because discounting shrinks every future dollar, the discounted payback period is always longer than the simple one whenever the discount rate is above zero.

That formula only has a solution when the cash flow's perpetuity value, C/r (what the cash flow would be worth if it ran forever), exceeds the investment — otherwise the discounted cash flows add up to less than the investment no matter how many years are allowed, and this calculator reports that explicitly instead of a meaningless result.

FAQ

Why compute both a simple and a discounted payback period?

The simple version is the quick, easy-to-communicate number most people mean by 'payback period,' but it ignores that money received later is worth less than money received now. The discounted version corrects for that at the cost of needing a discount rate — comparing both shows exactly how much that time-value adjustment is costing you in extra years.

What does it mean if the discounted payback period can't be found?

It means the annual cash flow, discounted at the given rate, would never add up to the initial investment even over an infinite number of years — the cash flow's perpetuity value (annual cash flow ÷ discount rate) is less than what was invested. A lower discount rate, or a higher annual cash flow, would be needed for the investment to break even in present-value terms at all.

Why isn't this the same as the ROI or break-even calculators already on this site?

ROI measures total percentage return on an investment, and break-even point measures units sold to cover fixed costs — neither answers 'how long until I get my money back.' Payback period is a distinct capital-budgeting metric used alongside NPV and IRR specifically to gauge how quickly an investment's cash is recovered, which matters for liquidity and risk even when it isn't the most profitable measure on its own.

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