10.3 Investment appraisal
- Syllabus
- 9609–2026–2027
- Topic
- 10.3
- Level
- A2
Learning objectives
10.3.1Investment appraisal concept• The concept of investment appraisal- the need for investment appraisal10.3.2Payback and ARR• Basic methods: payback, accounting rate of return (ARR)- the meaning, calculation and interpretation of payback and ARR (ARR = (average profit / average investment) × 100)10.3.3NPV• Discounted cash flow method: net present value (NPV)- the meaning, calculation and interpretation of NPV10.3.4Investment appraisal decisions• Investment appraisal decisions- quantitative results and their impact on investment decisions- qualitative factors and their impact on investment decisions- comparison of investment appraisal methods, including their limitations
Investment appraisal structures long-term choices under scarce finance and uncertainty
Investment appraisal uses forecast costs, cash flows/profits, timing and decision criteria to compare long-term capital projects before committing scarce, often irreversible resources.
| Need | Decision value |
|---|---|
| Scarce finance and mutually exclusive alternatives | Prioritises projects/locations and opportunity cost |
| Large sunk/irreversible cost and long life | Tests recovery, return and value before commitment |
| Cash timing/liquidity and risk | Exposes when funding is tied up and downside occurs |
| Objectives/accountability | Applies hurdle/maximum-payback criteria and records assumptions |
| Cross-functional planning | Connects demand/price/cost to capacity, people, location and finance |
Define incremental initial/working-capital outflows, annual operating cash inflows/outflows, useful life, residual/disposal value, accounting profit, timing, discount rate/finance cost, tax/inflation if provided, capacity interactions and base/high/low assumptions. Exclude irrelevant sunk costs already incurred.
Clarify objective/constraint → forecast incremental evidence and scenarios → calculate payback, ARR and NPV consistently → compare hurdle/ranking and method limitations → test strategic/operational/stakeholder factors → recommend with conditions, funding/implementation and review/exit triggers.
Appraisal is only as reliable as forecasts and definitions. It does not guarantee success or replace due diligence, finance availability, capacity, legal/ethical and strategic judgement.
Payback measures cash recovery; ARR measures average accounting return
Payback is the time taken for cumulative net cash inflows to recover the initial investment. Cumulate annual inflows until the unrecovered balance enters a year; for even flow within that year: fraction of year = amount still unrecovered at start of year ÷ that year's net cash inflow.
Initial cost 320m;afteryear5cumulativeinflowsare310m and year-6 inflow is 120m.Remaining10m; fraction = 10 ÷ 120 = 0.0833 year = 1 month. Payback = 5 years 1 month.
ARR=Averageannualprofit/Averageinvestment×100;Averageinvestment=(Initialinvestment+Residualvalue)/2
Average annual profit = total accounting profit over project life ÷ number of years. If only total net cash flows and depreciation information are provided, derive profit consistently. Example average profit 0.20mandaverageinvestment0.95m: ARR = 21.05%. Use %; do not divide by initial investment under this syllabus.
| Method | Prefer | Strength | Limitation |
|---|---|---|---|
| Payback | Shorter or within maximum | Simple, cash/liquidity/risk exposure and fast obsolescence | Ignores post-payback flows, time value within comparison and total return |
| ARR | Higher or above target | Uses all project years/profit and familiar % comparison | Accounting profit/estimates, average-investment convention, no cash timing/time value and scale difference |
Payback and ARR answer different questions and may rank projects differently. Neither discounts cash flows; neither alone proves strategic or financial feasibility.
NPV values each future net cash flow in today's money
Net present value (NPV) is the total present value of a project's future net cash flows minus/inclusive of the initial investment. Discounting recognises time value and required return/opportunity cost: a future dollar is worth less today.
Presentvalueinyeart=Netcashflowinyeart×Discountfactorinyeart;NPV=Sumofallpresentvaluesincludinginitialoutflow
List each year including time 0 → calculate annual net cash flow → multiply each future flow by the supplied discount factor → include residual/working-capital recovery in its year if stated → sum discounted inflows/outflows → subtract initial cost once (or include it as negative at time 0). Preserve signs and monetary unit.
| Time | Net cash flow | Discount factor | Present value |
|---|---|---|---|
| 0 | −100,000∣1.000∣−100,000 | ||
| 1 | 60,000∣0.909∣54,540 | ||
| 2 | 60,000∣0.826∣49,560 | ||
| Total NPV | +$4,100 |
At the chosen discount rate: positive NPV is forecast to exceed required return/add present value; zero just meets it; negative falls short. For comparable mutually exclusive projects, higher NPV is quantitatively preferred, subject to capital/risk/scale/life and qualitative factors. NPV is money, not percent.
Sensitive to cash-flow/timing/life/residual and discount-rate forecasts; one rate may not reflect changing/project risk; ranking can favour larger projects; cash constraints and non-financial impacts remain; precise result creates false confidence. Run scenarios/sensitivity and update.
Positive NPV is a forecast conditional on discount rate and cash flows, not guaranteed accounting profit or cash availability. Never discount the initial outflow twice or omit negative signs.
Investment decisions combine method results with strategic feasibility and risk
| Quantitative evidence | Decision contribution | Shared/individual limitation |
|---|---|---|
| Payback | Liquidity, exposure and speed of recovery | Ignores after-payback/time value |
| ARR | Average accounting return versus target | Profit not cash; no timing/time value |
| NPV | Time-valued cash contribution at required return | Discount/cash forecasts and scale/life differences |
| Forecast/scenario/capacity/finance | Affordability, downside and operational consequences | All rely on uncertain assumptions/data |
| Qualitative/strategic factor | Impact on choice |
|---|---|
| Fit with objectives/brand/market need and alternative opportunity | Value not captured by near-term cash and opportunity cost |
| Technical feasibility, capacity/site/supplier, quality and implementation time | Determines whether forecast cash is deliverable |
| People skills/jobs/relations, management capability and culture/change | Adoption, productivity, ethics and disruption |
| Law, safety, environment/community/reputation and stakeholder response | Licence to operate, risk and long-run value |
| Competition/technology/obsolescence, flexibility and exit/reversibility | Forecast life/downside and strategic option value |
Reconcile results: verify same assumptions/life/bases → explain why methods disagree → identify binding objective/constraint (cash, return, value, timing) → test high/base/low and break-even assumptions → compare qualitative fit/implementation → recommend project/location with conditions, funding, risk controls, milestones and stop/review triggers.
A decision may accept slower payback for a much stronger positive NPV and strategic capacity, or reject attractive ARR because cash, skills, demand evidence or safety is inadequate. State which factor is most important now and what new evidence would change the recommendation.
Financial information is rarely sufficient alone, and qualitative does not mean unmeasurable or vague. Connect each factor to forecast deliverability, stakeholder risk or objectives and compare its weight.