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Payback Period Calculator

Time to recover initial investment.

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Payback Period

Formula first

Overview

The Payback Period is a financial metric used to calculate the time required for an investment to generate enough cash flow to recover its initial cost. It serves as a fundamental tool in capital budgeting for assessing liquidity and the speed of capital recovery.

Symbols

Variables

P = Payback Period, = Initial Cost, CF = Annual Cash Flow

Payback Period
years
Initial Cost
$
CF
Annual Cash Flow
$/yr

Apply it well

When To Use

When to use: Apply this formula when evaluating projects where liquidity is a priority or when comparing short-term investment options. It is most effective when annual cash flows are relatively stable and predictable over the life of the project.

Why it matters: This metric helps managers understand the risk profile of an investment by determining how long capital will be at risk. A shorter payback period generally indicates a safer investment in terms of liquidity and recovery speed.

Avoid these traps

Common Mistakes

  • Ignoring time value of money.
  • Not considering useful life.

One free problem

Practice Problem

A manufacturing firm buys a new robotic arm for 50,000 dollars. It expects to save 12,500 dollars in labor costs every year. Calculate the payback period in years.

Initial Cost50000 $
Annual Cash Flow12500 $/yr

Solve for:

Hint: Divide the initial investment by the constant annual cash flow or savings.

The full worked solution stays in the interactive walkthrough.

References

Sources

  1. Principles of Corporate Finance by Richard A. Brealey, Stewart C. Myers, Franklin Allen
  2. Corporate Finance by Stephen A. Ross, Randolph W. Westerfield, Jeffrey F. Jaffe
  3. Investopedia: Payback Period
  4. Britannica: Payback period
  5. Brealey, R. A., Myers, S. C., & Allen, F. (2020). Principles of Corporate Finance (13th ed.). McGraw-Hill Education.
  6. Ross, S. A., Westerfield, R. W., & Jaffe, J. F. (2022). Corporate Finance (13th ed.). McGraw-Hill Education.
  7. Ross, S. A., Westerfield, R. W., & Jordan, B. D. (2022). Fundamentals of Corporate Finance (13th ed.). McGraw-Hill Education.
  8. Edexcel A-Level Business — Managing Business Activities