Payback Period Calculator
The Payback Period Calculator can calculate payback periods, discounted payback periods, average returns, and schedules of investments.
Fixed Cash Flow
Irregular Cash Flow Each Year
Cash Flow
Cash flow represents all cash and cash‑equivalent movements into and out of a project, person, company or other entity. When cash inflows—such as sales revenue or receivables—exceed outflows, the entity’s liquid assets grow. Conversely, payments for expenses, rent, taxes and the like reduce cash holdings. Typically cash flow is reported as the net result of all positive and negative cash movements over a period, which is exactly what our calculator does. Monitoring cash flow gives a quick picture of solvency; a healthy cash reserve generally signals good financial condition for both individuals and organisations.
Discounted Cash Flow
Discounted cash flow (DCF) is a valuation technique that estimates the worth of an investment by applying the time‑value‑of‑money principle, which holds that a dollar today is worth more than a dollar tomorrow. Future cash streams are brought back to the present using a discount factor, yielding a present‑value figure that helps decide if the project is attractive. In DCF calculations the discount rate is often the weighted average cost of capital (WACC), which blends the costs of each financing source—equity, debt, etc.—according to their proportion in the capital structure. Because WACC reflects the true opportunity cost of capital, analysts frequently prefer it over a generic discount rate when performing detailed cash‑flow analysis.
Discount Rate
A discount rate can be thought of as the opposite of an interest rate: it is applied to future cash receipts to calculate their present value. For instance, an investor may compute the net present value (NPV) of a prospective investment by discounting expected cash inflows at an appropriate rate. This is akin to asking how much must be invested today, at that rate, to generate the same future cash flows. The discount rate therefore allows cash flows occurring at different times to be expressed in a common, present‑day unit for easy comparison.
Payback Period
The payback period measures how long it takes for an investment’s cash inflows to recover the initial outlay, reaching a break‑even point where cumulative inflows equal cumulative outflows. For example, a $2,000 start‑up cost that yields $1,500 after the first year and $500 after the second year results in a two‑year payback. Generally, the shorter the payback horizon, the more attractive the project, while longer payback times tend to be less appealing.
Because it is simple to calculate, the payback period is a popular way to gauge investment return, but it ignores the time‑value of money. Therefore, it should be used alongside other, more comprehensive metrics.
The formula to calculate payback period is:
| Payback Period = |
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As an example, to calculate the payback period of a $100 investment with an annual payback of $20:
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= 5 years |
Discounted Payback Period
A key drawback of the standard payback period is its disregard for the time‑value of money. The discounted payback period (DPP) overcomes this by using the net present value of cash flows to determine when the break‑even point is reached. Unlike the plain payback, DPP takes into account not only the amount of cash flows but also when they occur and the prevailing market return, i.e., the point where the cumulative NPV becomes zero. DPP is useful for assessing profitability: if the discounted payback is shorter than the asset’s useful life or a predefined horizon, the investment is considered viable; if it exceeds that horizon, it is usually rejected. When comparing projects, those with a lower DPP are generally more attractive because they recoup their cost sooner.
The formula for discounted payback period is:
Discounted Payback Period = |
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Below is a sample calculation of the discounted payback period using the same figures as the simple payback example. With a $100 investment that returns $20 each year and a discount rate of 10 %, the NPV of the first $20 cash inflow is:
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= $18.18 |
The NPV of the second payback is:
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= $16.53 |
The subsequent term in the series uses a denominator of 1.103, and the pattern continues as needed. For this particular case, the break‑even point occurs at:
DPP = |
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= 7.27 years |
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The discounted payback period of 7.27 years is longer than the 5 years as calculated by the regular payback period because the time value of money is factored in.
Typically, the discounted payback period exceeds the ordinary payback because later cash flows are discounted more heavily. Both methods can provide insight, but they omit considerations such as risk, alternative opportunities, or overall market volatility. It is advisable to complement them with additional indicators like DCF analysis or the internal rate of return (IRR), which is the discount rate that sets the NPV of all cash flows to zero.