Saving & investing

Payback period: Definition, Formula and Example

The payback period is the time needed for cumulative net cash inflows to recover an initial investment.

Scope: General financial concept; examples are hypothetical.

Other names and related labels: Simple payback; Discounted payback.

How it works

Simple payback uses undiscounted cash flows. Discounted payback first discounts each receipt and therefore usually takes longer at a positive discount rate. Neither measure, by itself, evaluates cash flows after recovery.

For a constant positive annual net inflow: simple payback = initial investment / annual net inflow

Fractional-year interpolation assumes the inflow arrives evenly during that year. If cash arrives only at year end, recovery occurs on a payment date.

Recovering $6,000 with $2,000 a year

Assume identical net cash inflows at each year end.

  1. End of year 1: $2,000 recovered.
  2. End of year 2: $4,000 recovered.
  3. End of year 3: $6,000 recovered.

Simple payback is three years. At a positive discount rate, discounted recovery would be later.

No taxes, changing receipts or terminal value; cash flows are already net of operating costs.

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Fast recovery is not the same as high overall value

A project can recover its initial cost quickly and then lose money. A cash-flow stream may also fail to recover within the selected horizon. Do not label an unrecovered investment as having a zero-year payback.

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Sources and checks

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