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Capital budgeting: payback period, accounting rate of return, NPV, IRR and profitability index for deciding on a new machine or project, with a worked example for a small manufacturer

Estimate the extra, after-tax cash a project will bring each year, then test it. Payback = years to recover the outlay. Net present value (NPV) = present value of inflows...

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Accounting Standards & Bookkeeping
Published
October 4, 2026
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Last updated: October 2026Applies to: Union Budget 2026Verified against: Government sources

A new machine or production line ties up money for years, so the owner needs a method that judges it on the cash it will bring and on when that cash arrives. Capital budgeting offers several tests. Some ignore the time value of money and are quick; others discount the cash flows and give a firmer answer. Owners, finance managers and anyone preparing a project for a lender should know all of them and the cases in which they disagree.

Estimating the cash flows

Most owners build this in a spreadsheet; a proper financial model keeps the cash flows, discount rate and results linked so that one changed assumption updates everything.

Use only incremental cash flows: what the firm will have with the project less what it would have without it. Include the following.

  • The outlay on the asset, and any working capital that stock and debtors will need (recovered at the end).
  • Extra sales less extra cash costs, after tax. Depreciation is not a cash cost, but it lowers tax, so add back the tax it saves. For the actual tax position, see our income-tax guides.
  • The sale value of the asset at the end (salvage).
  • Leave out sunk costs already spent and interest on the funds, which is covered by the discount rate.

The discount rate is the firm's required return, often its cost of capital adjusted for the project's risk.

The tests in order

TestFormula in wordsRule
PaybackYears until cumulative cash inflow equals outlayShorter is quicker, ignores later years
Accounting rate of returnAverage annual profit over average investmentCompare with a target
NPVSum of (inflow x discount factor) less outlayAccept if above zero
Profitability indexPresent value of inflows over outlayAccept if above 1
IRRRate where NPV = 0, found by interpolationAccept if above required return
Discounted paybackPayback using discounted inflowsShorter is quicker, but includes timing

The discount factor for year n at rate r is 1 / (1 + r)^n.

Worked example: Cascade Beverages' second line

Cascade Beverages is an invented bottling unit. A second line costs ₹80 lakh. It has a five-year life and an assumed salvage value of ₹8 lakh at the end of year 5. The estimated after-tax cash inflows, including the tax saved on depreciation at an assumed tax rate of 25 per cent, are ₹24, 26, 28, 26 and 24 lakh in years 1 to 5. The required return is assumed at 12 per cent. Discount factors are rounded to three decimals and present values to two.

YearCash flow (₹ lakh)Factor at 12%Present value
0-801.000-80.00
1240.89321.43
2260.79720.72
3280.71219.94
4260.63616.54
524 + 8 = 320.56718.14
Total inflows96.77

NPV = 96.77 - 80 = ₹16.77 lakh. It is positive, so the project beats the required return.

Profitability index = 96.77 / 80 = 1.21.

Payback. Cumulative inflow is 24, 50 and 78 after three years. The balance of 2 is recovered in year 4 of 26: 3 + 2/26 = 3.08 years. Salvage is not counted.

Discounted payback. Cumulative present value is 21.43, 42.15, 62.09 and 78.63 after four years. The balance of 1.37 comes from year 5's 18.14: 4 + 1.37/18.14 = 4.08 years.

Accounting rate of return. Depreciation is (80 - 8) / 5 = 14.4 a year. Total inflow is 128, less total depreciation of 72, leaves 56 of profit over five years, or 11.2 a year. Average investment = (80 + 8) / 2 = 44. ARR = 11.2 / 44 = 25.45 per cent. This uses cash inflow less depreciation as a rough measure of profit; in practice use the projected profit after tax.

IRR by interpolation. At 19 per cent the factors are 0.840, 0.706, 0.593, 0.499 and 0.419, and the present value of inflows is 20.16 + 18.36 + 16.60 + 12.97 + 13.41 = 81.50, an NPV of +1.50. At 20 per cent the factors are 0.833, 0.694, 0.579, 0.482 and 0.402, giving 19.99 + 18.04 + 16.21 + 12.53 + 12.86 = 79.64 (total taken from the unrounded values), an NPV of -0.36. IRR = 19 + 1.50 / (1.50 + 0.36) x (20 - 19) = 19 + 0.81 = about 19.8 per cent, comfortably above 12 per cent.

Decision. Cascade's owner approves the line: NPV is positive, the index is 1.21, IRR is near 19.8 per cent and the outlay comes back in about three years. Before signing, the owner tests the result against a fall in selling price; see risk in capital budgeting.

When NPV and IRR disagree

For a single project they agree. When two projects are alternatives, a smaller project with a higher IRR can have a lower NPV than a bigger one. Choose by NPV, as it shows the rupee gain. Disagreement also arises when cash flows change sign more than once. Then the modified rate of return, which assumes the inflows are reinvested at the required return, gives a single answer.

Capital rationing and unequal lives

When funds are limited, rank projects by profitability index and take them until the money runs out. When two machines have different lives, compare them on equal footing by spreading each cost over its life as an equivalent yearly figure, or by repeating them to a common horizon.

Common mistakes

  • Including interest and then discounting too, which counts the cost of funds twice.
  • Omitting working capital or its recovery.
  • Counting sunk costs, or leaving out the tax saved on depreciation.
  • Using payback alone, which ignores cash after the payback year.
  • Choosing by IRR when projects are alternatives of different size.
  • Using optimistic sales without testing a fall; the time value of money is explained in present value and future value.

Need help with a project appraisal?

If you are preparing an appraisal for a new line or a lender, our financial modeling service builds the cash flows, NPV and IRR on your assumptions and tests them under several cases. You get a model you can change as quotes and orders firm up.

Key takeaways

  • Use incremental after-tax cash flows, including working capital and salvage.
  • NPV is the main test: accept when positive.
  • IRR and profitability index tell the same story for a single project.
  • Payback is a quick liquidity check, not a measure of worth.
  • Test the result against lower sales before deciding.

Read next

Disclaimer: The methods described are standard cost accounting and financial management techniques. The worked example uses an invented business and invented figures, including any tax, interest or exchange rate, which are assumptions for illustration and not current rates. Where the article refers to a legal requirement, the linked guide and the official text should be checked. This article is general information, not legal advice; check the official text before acting.

Quick recapKey facts & short answers

Key Facts About Capital budgeting

  • Applies in: All states across India, under the relevant central law.
  • Mode: Mostly online via the official government portal.
  • Typical timeline: Ranges from a few days to a few weeks depending on the case.
  • Non-compliance: May attract penalties, interest or late fees.
  • Expert help: TaxClue completes the entire process end to end for you.

Which test is the most reliable?

NPV, because it discounts all cash flows at the required return and shows the rupee gain. Payback and ARR are useful as secondary checks.

Why is depreciation added back?

It is not a cash outflow. It matters only because it reduces tax, and that saving is a cash benefit.

Know which registrations your business actually needs — both too few and too many cost money.

— TaxClue Compliance Desk

Capital budgeting: a key compliance topic in Indian tax and corporate law that businesses and individuals must understand to remain compliant.

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Disclaimer: This article is for general informational purposes only and does not constitute professional tax, legal or financial advice. Laws, rates and due dates change and can vary by individual case — always verify with the relevant government source (e.g. mca.gov.in, incometax.gov.in) or consult a qualified professional before acting. TaxClue accepts no liability for decisions taken based on this content.

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Questions, answered

Short, direct answers to the 6 questions readers ask most on this topic.

NPV, because it discounts all cash flows at the required return and shows the rupee gain. Payback and ARR are useful as secondary checks.

It is not a cash outflow. It matters only because it reduces tax, and that saving is a cash benefit.

Yes. Compute NPV at two rates around zero and interpolate, as in the example.

The firm's required return, reflecting its cost of funds and the project's risk. State it as an assumption.

Leave out the salvage line. The method is the same.

When cash is tight and the owner wants to know how quickly the money returns, or when the future is too uncertain to forecast far.