capital budgeting

Payback Period

Payback = Years before full recovery + (Unrecovered cost / Cash flow in recovery year)

How long it takes for a project's cash flows to repay the initial investment. Simple but ignores TVM.

Variables

Initial Cost=Initial Investment

Upfront outlay

CF_t=Annual Cash Flows

Net cash inflows each year

Example Calculation

Scenario

Project costs $10,000. Cash flows: Year 1 = $4,000, Year 2 = $4,000, Year 3 = $3,000.

Given Data

Cost:$10,000
CF1:$4,000
CF2:$4,000
CF3:$3,000

Calculation

After Y1: $6,000 unrecovered. After Y2: $2,000 unrecovered. Y3 recovery: 2,000/3,000 = 0.67. Payback = 2.67 years.

Result

2.67 years

Interpretation

The project recoups the investment in about 2 years and 8 months.

When to Use This Formula

  • Quick screening of projects
  • When liquidity is the primary concern
  • Supplement to NPV analysis

Common Mistakes

  • Using payback as the sole decision criterion
  • Ignoring cash flows after the payback cutoff

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FAQs

Common questions about this formula

Discounted payback fixes the TVM flaw by using present values, but still ignores post-cutoff cash flows.

It is simple, intuitive, and useful for liquidity screening. In industries with high uncertainty or rapid technological change, managers want to know how quickly they recover their investment, even if NPV is the primary decision tool.

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