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Payback Period & Discounted Payback Period (DPP

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### Capital Budgeting: Simple Payback vs. Discounted Payback (DPP) The **Payback Period** measures the time required for an investment to generate cash flows equal to its initial cash outlay. ###...

Reviewed by Noman Khan · MBA
Last updated:
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⚙ Input Values

📊 Results

Primary Payback Period Summary
Payback Period: 3.43 Years (41 Months) | Discounted (DPP @ 8%): 4.17 Years
Simple Payback Period (Nominal Years)
3.43 Years (3 yrs 5 mos)
Discounted Payback Period (DPP in Years)
4.17 Years (at 8.0% discount rate)
Total 5-Year Cumulative Cash Flow ($)
$175,000 (5-Year Total)
Net Cumulative Profit by Year 5 ($)
+$55,000 net surplus by Year 5
Accounting Rate of Return (ARR %)
--
Total Months to Breakeven
~41 total months to breakeven
✦ Capital Budgeting & Investment Payback Diagnostic
Capital Budgeting Analysis: For a $120,000 initial investment with $35,000/yr constant cash flow, the Simple Payback Period is 3.43 years (~41 months). Incorporating an 8.0% cost of capital (WACC), the Discounted Payback Period (DPP) is 4.17 years. Cumulative 5-year gross cash inflow equals $175,000, delivering a Net Profit after full capital recovery of +$55,000 (Accounting Rate of Return ARR: 29.2%). Investment Recommendation: STRONG PROJECT: Recovers initial outlay within acceptable corporate 3-4 year benchmark.
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📐 Formula

Capital budgeting payback period & discounted payback equations: Payback (Even Inflows) = Initial Investment CostAnnual Cash Inflow Payback (Uneven Inflows) = A + (B ÷ C) A = Last year with negative cumulative cash flow, B = Unrecovered cost at start of year, C = Cash flow in recovery year Cash Inflow (DCF_t) = (CF_t ÷ (1 + r)^t) Payback Period (DPP) = Time t where Σ_t=1^n DCF_t = Initial Cost

💡 Practical Example

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For example, investing $120,000 into energy-efficient equipment generating $35,000/year in constant savings at an 8.0% discount rate: \}}\). When discounting at 8.0% ($32,407 Yr 1, $30,007 Yr 2, $27,784 Yr 3, $25,726 Yr 4), the Discounted Payback Period (DPP) is 4.16 Years (50 Months), recovering $175,000 over 5 years.

📖 About Payback Period & Discounted Payback Period (DPP

Capital Budgeting: Simple Payback vs. Discounted Payback (DPP)

The Payback Period measures the time required for an investment to generate cash flows equal to its initial cash outlay.

Why Simple Payback Has Limitations

  • Ignores the Time Value of Money: 10,000 received 5 years from now is treated identically to 10,000 received today.
  • Ignores Post-Payback Cash Flows: A project with a 3-year payback that stops producing cash in Year 4 is ranked better than a project with a 4-year payback that generates millions for decades.
  • Solution: Always combine Payback Period with Net Present Value (NPV) and Internal Rate of Return (IRR).

How to Use This Calculator

Enter your Initial Capital Investment / Project Cost () (e.g. 120000 (Equipment, software, solar, expansion)), Cash Flow Structure — select from Even Cash Inflows (Constant amount every year), Uneven Multi-Year Cash Inflows (Custom years 1-5), Annual Cash Inflow ( / year) [for Even mode] (e.g. 35000), Year 1 Cash Inflow () [for Uneven mode] (e.g. 25000), Year 2 Cash Inflow () [for Uneven mode] (e.g. 35000), Year 3 Cash Inflow () [for Uneven mode] (e.g. 45000), Year 4 Cash Inflow () [for Uneven mode] (e.g. 50000), Year 5 Cash Inflow () [for Uneven mode] (e.g. 55000), and Discount Rate / Cost of Capital (%) [for Discounted Payback] (e.g. 8.0 (WACC or Hurdle Rate)). Results update instantly — no submit button needed. Use metric or imperial units as labeled. For the most accurate result, measure height and weight in the morning without shoes.

The Formula

Capital budgeting payback period & discounted payback equations: Payback (Even Inflows) = (Initial Investment Cost) / (Annual Cash Inflow) Payback (Uneven Inflows) = A + (B) / (C) A = Last year with negative cumulative cash flow, B = Unrecovered cost at start of year, C = Cash flow in recovery year Cash Inflow (DCF_t) = (CF_t) / ((1 + r)^t) Payback Period (DPP) = Time t where Σ_t=1^n DCF_t = Initial Cost

Worked Example

For example, investing 120,000 into energy-efficient equipment generating 35,000/year in constant savings at an 8.0% discount rate: . When discounting at 8.0% (32,407 Yr 1, 30,007 Yr 2, 27,784 Yr 3, 25,726 Yr 4), the Discounted Payback Period (DPP) is 4.16 Years (50 Months), recovering 175,000 over 5 years.

Understanding Your Result

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💡 Methodological Standards & Calculation Accuracy

  • All calculations are performed client-side in your browser using verified, standards-compliant mathematical algorithms.
  • Results are provided for educational and informational analysis; verify critical applications with certified domain specialists.
  • Ensure input values are entered in consistent units matching the selector options to guarantee accurate outputs.
  • Periodic recalibration is recommended whenever baseline assumptions, operating parameters, or external conditions change.

Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.

❓ Frequently Asked Questions

What is the payback period formula?

For constant annual cash flows: Payback Period = Initial Investment ÷ Annual Cash Inflow. For uneven cash flows, sum annual flows until cumulative cash equals the initial cost.

What is the difference between Payback Period and Discounted Payback Period?

Simple payback uses nominal cash flows, ignoring interest and inflation. Discounted Payback Period (DPP) discounts future cash flows back to present value using your cost of capital (WACC).

What is a good payback period for a business investment?

Most corporations target a payback period of 2 to 4 years for technology, equipment, and efficiency upgrades. Infrastructure or commercial real estate may tolerate 7 to 10-year paybacks.

What is the Accounting Rate of Return (ARR)?

ARR divides the average annual profit by the initial investment: ARR = (Average Annual Inflow ÷ Initial Investment) × 100.

Why is payback period widely used by corporate managers?

Payback period provides a simple, intuitive measure of liquidity risk and how quickly invested capital is recovered to minimize downside exposure.

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