Skip to content

CMA Intermediate · Financial Management and Business Data Analytics

Capital Budgeting for CMA Inter Paper 11

Capital budgeting is the process of deciding which long-term investments a firm should accept. You estimate incremental after-tax cash flows, then judge them with payback, ARR, NPV, PI, IRR and MIRR. Accept a project if NPV is positive. Then handle ranking conflicts, unequal lives and risk.

What this chapter covers

Capital budgeting is about long-term investment decisions: buying a machine, launching a product, or replacing an old plant. These decisions lock up large sums for years, so the question is whether the future cash flows justify the outlay today. The chapter gives you a set of tools to answer that.

The chapter has a clear sequence. First you learn the process and how to estimate relevant cash flows. Then you apply the appraisal techniques: the non-discounted ones (payback, ARR) and the discounted ones (discounted payback, NPV, PI, IRR, MIRR). Last come the harder parts: choosing between projects when methods disagree, comparing projects of unequal lives, and adjusting for risk.

This chapter connects to the rest of Paper 11. It depends on time value of money and cost of capital, which you need for discount rates. It also links to financing and capital structure, because the discount rate reflects how the firm is funded. Numerical questions here often combine several of these ideas in one problem.

Capital budgeting is one of the most numerical chapters in Financial Management, so it suits the written questions where step marks are available. The same calculations also feed the objective section: quick questions on payback, NPV, PI and IRR are easy to score if your basics are firm. Once you learn the cash flow layout and the decision rules, a long problem becomes a repeatable routine. That makes it a good chapter to invest effort in, since careful practice turns directly into marks.

Capital Budgeting: topics in the order to study them

  1. 1Capital Budgeting Introduction and ProcessStart here to learn the vocabulary, types of decisions and the stages, so the later techniques have context.
  2. 2Estimation of Cash FlowsEvery technique uses cash flows as input, so you must be able to build them correctly (incremental, after tax, with depreciation tax shield and working capital) before anything else.
  3. 3Payback Period and Discounted PaybackThese are the simplest techniques and build the habit of working with a cumulative cash flow table.
  4. 4Accounting Rate of Return (ARR)ARR uses accounting profit, not cash flow, so study it right after payback to see clearly how it differs.
  5. 5Net Present Value (NPV) and Profitability IndexNPV is the core method of the chapter. Learn it before IRR, because IRR is defined through NPV.
  6. 6Internal Rate of Return and Modified IRRIRR is the rate that makes NPV zero. You need NPV first, then you can see why MIRR corrects IRR's reinvestment assumption.
  7. 7Comparing Projects: Ranking Conflicts and Unequal LivesThis needs NPV, PI and IRR all in hand, since it asks which method to trust when they disagree.
  8. 8Risk Analysis in Capital BudgetingStudy it last: it adjusts the earlier methods for uncertainty, so you need the base calculations to be comfortable.

How to prepare Capital Budgeting

Treat this chapter as a skill to practise, not a set of facts to memorise. Aim to be fast and neat with the standard layouts.

  1. Read the process and decision rules once, and write the accept or reject rule for each technique on one page.
  2. Practise building cash flow tables from scratch: initial outlay, annual operating cash flow after tax, depreciation tax shield, working capital recovery and salvage value.
  3. Learn to set out each technique in a fixed format, with a year-wise table for cumulative cash flow, discount factor and present value, so you earn step marks even if the final figure slips.
  4. Do NPV and IRR problems with a discount factor table in hand. For IRR, practise trial and error followed by interpolation, and show both trial rates.
  5. Solve mixed problems that ask for several techniques on the same project, then ones that ask you to compare two projects and recommend one with a reason.
  6. Practise a few risk problems, such as certainty equivalent and sensitivity analysis, and always end with a one-line conclusion in words.
  7. Finish with timed MCQs on definitions, decision rules and short calculations, to be fast in Section A.

Common mistakes in Capital Budgeting

  • Deducting depreciation as a cash outflow, or ignoring its tax shield.

    Fix: Start from profit after tax and add back depreciation, or use cash flow before tax and add depreciation × tax rate. Be consistent.

  • Including sunk costs, allocated overheads or interest in project cash flows.

    Fix: Include only incremental cash flows. Ask whether the cash flow changes if the project is accepted.

  • Forgetting working capital release or salvage value in the final year.

    Fix: Add a final-year checklist: operating cash flow, salvage value (after tax effect, if any) and working capital recovery.

  • Using the wrong discount factor, such as year 0 treated as year 1.

    Fix: Show year 0 with a factor of 1, and label each factor clearly. Use an annuity factor only when cash flows are equal.

  • Recommending a project by IRR alone when NPV and IRR conflict.

    Fix: For mutually exclusive projects, rely on NPV, and state that it measures the addition to wealth.

  • Giving a number without a decision.

    Fix: Always close with a line that applies the decision rule, such as 'NPV is positive, so accept the project'.

Last-day revision: Capital Budgeting

  • NPV = present value of cash inflows − initial outlay; accept if NPV is greater than zero.
  • Profitability Index = present value of inflows ÷ initial outlay; accept if PI is greater than 1.
  • IRR is the discount rate at which NPV equals zero; accept if IRR is higher than the cost of capital.
  • Payback period is the time to recover the initial outlay; it ignores cash flows after payback.
  • Discounted payback uses present values of cash flows, so it is longer than simple payback.
  • ARR = average accounting profit ÷ investment (initial or average, as the question states); it uses profit, not cash flow.
  • Depreciation is not a cash flow; include only its tax shield = depreciation × tax rate.
  • Include working capital as an outflow at the start and a recovery at the end; ignore sunk costs.
  • Interest on financing is not deducted from project cash flows; the discount rate covers it.
  • When NPV and IRR conflict for mutually exclusive projects, prefer the higher NPV.
  • MIRR assumes inflows are reinvested at the cost of capital and gives a single rate.
  • For unequal lives, compare using equivalent annual annuity or a common replacement chain.

Capital Budgeting practice questions

Capital Budgeting in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Capital Budgeting: frequently asked questions

Which capital budgeting method is the best?

NPV is generally considered the most reliable because it uses all cash flows, accounts for time value and measures the addition to wealth. Payback and ARR are simple but have clear limits. In exams, use the method asked for and mention NPV when you must recommend.

How is IRR calculated in the exam?

If cash flows are unequal, you use trial and error. Pick two discount rates, one giving a positive NPV and one a negative NPV, then interpolate between them. Show both trial NPVs clearly so the steps earn marks.

Do I add back depreciation in cash flow estimation?

Yes, if you start from profit after tax, because depreciation is a non-cash charge. If you start from cash flow before tax, you only add the tax saved on depreciation. Do not count it twice.

What should I do if NPV and IRR give different rankings?

For mutually exclusive projects, prefer the one with the higher NPV. Explain that the conflict comes from differences in the scale or timing of cash flows and the reinvestment assumption.