What is the Payback Period?
The payback period tells you how long it takes for a project's cash inflows to recover its initial investment, making it one of the simplest capital budgeting tools for judging liquidity and risk. Shorter payback periods are generally preferred because they return cash sooner.
The payback period is the time required for cumulative cash inflows to equal the initial investment. For even annual cash flows: Payback Period = Initial Investment / Annual Cash Flow.
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Step-by-step worked examples
A project costs $50,000 and generates $10,000 per year evenly. Find the payback period.
Payback Period = Initial Investment / Annual Cash Flow Payback Period = 50,000 / 10,000 = 5 years
A machine costs $120,000 and produces $30,000 in even annual cash flow. Find the payback period.
Payback Period = 120,000 / 30,000 = 4 years
A $100,000 project generates uneven cash flows: $40,000 in Year 1, $40,000 in Year 2, and $40,000 in Year 3. Find the payback period.
Cumulative after Year 1 = 40,000 (still -60,000 short) Cumulative after Year 2 = 80,000 (still -20,000 short) During Year 3, remaining 20,000 / 40,000 = 0.5 year Payback Period = 2 + 0.5 = 2.5 years
Flashcards
Quick quiz
Q1.A $60,000 project returns $15,000 per year evenly. Payback period?
Q2.What does the simple payback period ignore?
Q3.Cumulative cash flow after Year 2 is -$10,000, and Year 3 cash flow is $40,000. What is the payback period?
Q4.Which project is preferred using the payback method (all else equal)?
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Common mistakes
Ignoring the time value of money. — Correct: Use the discounted payback period (discount cash flows first) for a more accurate liquidity/risk measure.
Ignoring cash flows that occur after the payback point. — Correct: The simple payback period says nothing about total profitability — pair it with NPV or IRR.
Applying the even-cash-flow formula to uneven cash flows. — Correct: For uneven cash flows, use the cumulative cash flow method year by year, not simple division.
Treating payback period as the only investment criterion. — Correct: Payback period measures liquidity/risk, not profitability — combine it with NPV, IRR or PI for a full decision.
FAQ
What is the payback period formula?
For even cash flows: Payback Period = Initial Investment / Annual Cash Flow. For uneven cash flows, use the cumulative cash flow method.
What are examples of the payback period method?
A $50,000 machine generating $10,000 per year has a payback period of 5 years.
How do you calculate the payback period with uneven cash flows?
Add cash flows year by year until the cumulative total turns positive, then interpolate the fraction of the final year needed.
What is a good payback period?
It depends on company policy, but shorter payback periods are generally preferred because they recover cash and reduce risk faster.