To equip you with the knowledge and skills required by the Cambridge IGCSE/A‑Level (9609) syllabus to:
Definition: A systematic evaluation of a proposed capital project to decide whether it will add value to the business and support its strategic objectives.
Purpose (exam‑relevant points):
These methods give a numerical indication of a project’s profitability.
| Technique | Key Formula / How to calculate | When it is most useful (exam tip) |
|---|---|---|
| Pay‑back Period | \[ \text{Pay‑back} = \frac{\text{Initial investment}}{\text{Average annual cash inflow}} \] | Quick check of liquidity and short‑term risk; easy to calculate in the exam. |
| Accounting Rate of Return (ARR) | \[ \text{ARR} = \frac{\text{Average annual accounting profit}}{\text{Initial investment}}\times 100\% \] | Compares profitability with a required accounting return; uses profit rather than cash flow. |
| Net Present Value (NPV) | \[ \text{NPV}= \sum_{t=0}^{n}\frac{C_t}{(1+r)^t} \] where \(C_t\) = net cash flow in year \(t\) and \(r\) = discount rate (cost of capital). | Measures value added after accounting for the time value of money; the primary “accept‑if‑positive” test. |
Optional A‑Level extension – Internal Rate of Return (IRR): The discount rate that makes NPV = 0. Useful for deeper analysis but not required for the IGCSE.
| Technique | Advantages | Disadvantages |
|---|---|---|
| Pay‑back | Simple; highlights cash‑flow risk. | Ignores cash flows after the pay‑back year and the time value of money. |
| ARR | Uses readily available accounting data; easy to explain. | Based on profit, not cash flow; does not consider discounting. |
| NPV | Considers all cash flows and the cost of capital; gives a clear “add‑value” decision. | Requires an estimate of the discount rate and reliable cash‑flow forecasts. |
These are the “soft” considerations that can tip the balance when the numbers alone are inconclusive.
| Factor | What to assess (exam prompts) | Typical impact on the decision |
|---|---|---|
| Strategic Fit | Does the project support the 3‑year plan or core competencies? | High fit may justify a lower NPV threshold or a higher discount rate. |
| Brand & Reputation | Effect on brand‑equity, customer perception, media coverage. | Negative impact can lead to rejection even with a positive NPV. |
| Employee Morale & Skills Development | Training needs, turnover risk, staff engagement. | Improved morale may offset modest financial returns. |
| Environmental & Sustainability | Carbon emissions, waste reduction, eligibility for green finance. | Positive outcomes can attract subsidies or lower borrowing costs. |
| Legal & Regulatory Compliance | Potential fines, licensing, future legislation. | High risk raises the discount rate or may cause outright rejection. |
| Social Responsibility & Community Relations | Local job creation, community support, CSR objectives. | Strong CSR can improve goodwill and market access. |
| Market & Competitive Dynamics | Competitor actions, market‑share forecasts, consumer trends. | Favourable dynamics may justify a larger investment. |
| Technological Change | Obsolescence risk, need for future upgrades, system compatibility. | Rapid change increases uncertainty – often requires scenario analysis. |
| Political / Legislative Stability | Stability of government policy, tax changes, trade restrictions. | Unstable environments raise perceived risk → higher discount rate. |
| Stakeholder Expectations (beyond CSR) | Shareholder pressure, supplier relationships, customer activism. | Failure to meet expectations can damage future projects. |
| Overall Risk & Uncertainty | Combined effect of the above that is not captured numerically. | May lead to conditional approval or further sensitivity testing. |
Step‑by‑step:
| Factor | Assessment criterion (example) | Score (1‑5) | Weight (w) | Weighted score (w × s) |
|---|---|---|---|---|
| Strategic Fit | Direct contribution to 3‑year plan | 4 | 0.15 | 0.60 |
| Brand Impact | Change in brand‑equity index | 2 | 0.10 | 0.20 |
| Employee Morale | Training cost vs retention benefit | 3 | 0.08 | 0.24 |
| Environmental Impact | CO₂ reduction (tonnes) / compliance cost | 5 | 0.12 | 0.60 |
| Legal Compliance | Regulatory risk rating (low‑high) | 2 | 0.10 | 0.20 |
| Social Responsibility | Community support score | 4 | 0.08 | 0.32 |
| Market Dynamics | Projected market‑share gain | 3 | 0.10 | 0.30 |
| Technological Change | Obsolescence risk (low‑high) | 3 | 0.07 | 0.21 |
| Political/Legislative Stability | Stability index (0‑10) | 4 | 0.10 | 0.40 |
| Stakeholder Expectations | Alignment with major stakeholder demands | 3 | 0.10 | 0.30 |
| Total weighted score | 3.77 | |||
Interpretation tip for the exam: Set a pre‑determined threshold (e.g., 3.5). If the total exceeds the threshold, the qualitative side is “acceptable”.
The Cambridge syllabus expects you to present **both** dimensions in the final recommendation.
| Quantitative Result | Qualitative Score |
|---|---|
|
|
| Final recommendation – Go | |
Company: GreenTech Ltd., manufacturer of solar panels.
Proposed investment: New automated assembly line – £4 million.
| Metric | Result | Company criterion | Result? |
|---|---|---|---|
| Pay‑back period | 3.2 years | ≤ 4 years | Pass |
| ARR | 14 % | ≥ 12 % | Pass |
| NPV (10 % discount) | £0.6 million | > 0 | Pass |
| Factor | Score (1‑5) | Weight | Weighted score |
|---|---|---|---|
| Strategic Fit – expansion into high‑growth market | 5 | 0.20 | 1.00 |
| Brand Impact – enhances green image | 4 | 0.10 | 0.40 |
| Employee Morale – up‑skilling opportunities | 3 | 0.08 | 0.24 |
| Environmental Impact – waste ↓ 30 % | 5 | 0.15 | 0.75 |
| Legal Compliance – meets new EU standards | 5 | 0.07 | 0.35 |
| Social Responsibility – creates local jobs | 4 | 0.08 | 0.32 |
| Market Dynamics – rising solar demand | 4 | 0.12 | 0.48 |
| Technological Change – future‑proof equipment | 4 | 0.07 | 0.28 |
| Political Stability – stable subsidies | 3 | 0.08 | 0.24 |
| Stakeholder Expectations – ESG‑focused shareholders | 5 | 0.05 | 0.25 |
| Total weighted score | 4.61 | ||
| Metric | Formula |
|---|---|
| Pay‑back period | \(\displaystyle \text{Pay‑back} = \frac{\text{Initial outlay}}{\text{Average annual cash inflow}}\) |
| ARR | \(\displaystyle \text{ARR} = \frac{\text{Average annual profit}}{\text{Initial investment}}\times100\%\) |
| NPV | \(\displaystyle \text{NPV}= \sum_{t=0}^{n}\frac{C_t}{(1+r)^t}\) |
| Weighted qualitative score | \(\displaystyle \text{Total} = \sum (w_i \times s_i)\) |
With these tools you can meet every requirement of the Cambridge 9609 syllabus for Topic 10.3 and produce a clear, balanced investment‑appraisal recommendation.
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