Skip to content

ACCA Applied Skills · Financial Management

Investment Appraisal Techniques for ACCA Financial Management

Investment appraisal techniques test whether a project is worth doing. You list relevant cash flows, then apply payback, ARR, NPV or IRR. NPV is the main method: discount future cash flows at the cost of capital and accept the project if the result is positive.

What this chapter covers

This chapter covers how a business decides whether to invest in a project. You start by finding the cash flows that matter. Then you apply a set of methods: payback, discounted payback, return on capital employed (ARR), net present value (NPV) and internal rate of return (IRR). Each method answers a slightly different question, and you must know what each one tells you and where it falls short.

The second half extends the core method. Annuity and perpetuity factors save time when cash flows repeat. Capital rationing deals with the case where money is limited and you cannot take every positive-NPV project. Equivalent annual cost helps you compare assets with different lives, such as replacing a machine now or later.

The chapter links to the rest of FM. Discount rates come from the cost of capital, so your NPV depends on that work. Tax, inflation and risk are layered onto the same NPV layout in later chapters. Investment decisions also sit at the heart of the finance function's role, so the ideas appear in Section A, in the OT cases and in the long Section C questions.

Investment appraisal is one of the most examinable areas in FM. It can appear as single objective questions, as a five-question OT case and as a full 20-mark constructed response question that builds a complete NPV with tax, inflation and a discussion of the result. Because objective questions are marked all or nothing, a small slip in timing or a wrong inclusion of a cost loses the whole question. The calculations are mechanical, so careful practice turns this chapter into reliable marks. The same NPV layout also underpins later topics, so time spent here pays back across the paper.

Investment appraisal techniques: topics in the order to study them

  1. 1Relevant Cash Flows for Investment AppraisalEvery method uses cash flows, so you must first learn which costs and benefits to include and which to ignore.
  2. 2Payback Period and Discounted PaybackIt is the simplest method and introduces timing of cash flows without needing discount factors at first.
  3. 3Return on Capital Employed (ARR)It is the other simple method, based on profit not cash, so you can contrast it with payback.
  4. 4Net Present Value (NPV)This is the core method. Learn discounting and the decision rule before moving on.
  5. 5Internal Rate of Return (IRR)It builds directly on NPV by finding the rate at which NPV is zero, using interpolation.
  6. 6Discounted Cash Flow Annuities and PerpetuitiesOnce NPV is secure, you learn shortcuts for level or endless cash flows to save exam time.
  7. 7Capital Rationing and Profitability IndexIt needs a solid grasp of NPV, because you rank projects by NPV per unit of capital.
  8. 8Equivalent Annual Cost and Replacement DecisionsIt applies NPV and annuity factors together, so it comes last.

How to prepare Investment appraisal techniques

Treat this chapter as one method with several variations. Get NPV fluent first, then use it as the base for everything else.

  1. Learn the relevant cash flow rules and test yourself on a list of items: include or exclude, and why.
  2. Do payback and ARR by hand until you can state each formula and its main weakness without notes.
  3. Build a standard NPV layout: time row, cash flow row, discount factor row, present value row. Use the same layout every time.
  4. Practise IRR by calculating NPV at two rates and interpolating. Check that your answer lies between the two rates.
  5. Drill annuity and perpetuity factors so you can pick the right factor and the right start year quickly.
  6. Work rationing and equivalent annual cost questions, then do mixed OT questions under time pressure.
  7. Finish with full Section C style questions. Write the recommendation and the limitations in clear sentences, not only numbers.

Common mistakes in Investment appraisal techniques

  • Including sunk costs, depreciation or allocated overheads in the cash flows.

    Fix: Ask of each item: is it a future cash flow that changes because of this decision? If not, leave it out.

  • Putting cash flows in the wrong year, such as discounting the initial outlay.

    Fix: Draw the time row first. Time 0 has a discount factor of 1.0. Check each cash flow against the wording of when it occurs.

  • Using the wrong annuity factor when cash flows start in year 2 or later.

    Fix: Subtract the earlier annuity factor from the later one, or discount the annuity back to the right point.

  • Confusing the IRR and NPV decisions or extrapolating IRR far from the tested rates.

    Fix: Choose two rates that give one positive and one negative NPV, close to each other, so interpolation is reliable.

  • Ranking projects by NPV alone under capital rationing.

    Fix: When capital is limited and projects are divisible, rank by profitability index. Check that the total capital used does not exceed the limit.

  • Giving a number with no recommendation or comment in Section C.

    Fix: Always state the decision, support it with the result, and add one or two limitations, such as reliance on forecasts or the discount rate.

Last-day revision: Investment appraisal techniques

  • Relevant cash flows are future, incremental and cash. Ignore sunk costs, depreciation and allocated overheads.
  • Include opportunity costs and working capital changes. Working capital is usually recovered at the end.
  • Payback ignores cash flows after the payback point and, in its simple form, the time value of money.
  • Discounted payback uses present values, so it is longer than simple payback.
  • ARR = average annual accounting profit ÷ investment (initial or average). It uses profit, not cash.
  • NPV rule: accept if NPV is positive. It shows the increase in wealth in money terms.
  • IRR = a + [NPV_a ÷ (NPV_a − NPV_b)] × (b − a), using two rates a and b.
  • Accept a project if its IRR is above the cost of capital. Interpolation gives only an estimate.
  • Perpetuity present value = annual cash flow ÷ discount rate.
  • Annuity factor for years 1 to n is found from tables. For years 2 to n, subtract the year 1 factor.
  • Profitability index = NPV ÷ capital invested. Rank by it when capital is limited and projects are divisible.
  • Equivalent annual cost = PV of costs ÷ annuity factor for the asset life. Choose the lower figure.

Investment appraisal techniques practice questions

Investment appraisal techniques in other exams

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

Investment appraisal techniques: frequently asked questions

Which investment appraisal method matters most in ACCA FM?

NPV matters most. It uses cash flows, the time value of money and the cost of capital, and it measures the increase in wealth. Other methods are tested mainly for their calculation and for comparing their strengths and weaknesses.

How does IRR relate to NPV?

IRR is the discount rate at which a project's NPV is zero. If the IRR is above the cost of capital, the NPV at that cost of capital is positive, so the project is acceptable. In the exam you estimate IRR by interpolating between two NPVs.

When should I use profitability index instead of NPV?

Use it when capital is limited in one period and projects can be taken in part. You divide each project's NPV by the capital it needs and rank from highest to lowest. If projects are not divisible, you must test combinations instead.

How do I get better at the calculations in this chapter?

Use one fixed NPV layout and practise it daily on short questions. Then time yourself on OT cases, since a single wrong cash flow makes an objective answer score zero. Review each error and note which rule you broke.