Make an investment appraisal decision
Combine payback, ARR and NPV with qualitative factors, compare their limitations and form a justified project recommendation.
Cambridge International AS & A Level Business 9609, 2026–2028 syllabus and 2029 syllabus, section 10.3.4. Ratio calculations use the formulae listed in the relevant Cambridge syllabus. Written practice is self-checked. Specialist review has not been completed for this lesson; these exercises do not award an official mark or establish exam readiness.
Before you begin
- Read the figures, dates and assumptions supplied in the question before calculating or interpreting an accounting result.
Work on paper. Try each question before revealing help, and explain why your method works.
Quick readiness check
Which method directly discounts cash flows to present value?
What you will learn
- Interpret quantitative appraisal outputs together
- Assess qualitative and strategic factors
- Compare method limitations and justify a conditional recommendation
Each method highlights a different feature
Payback focuses on how soon cash recovers the outlay; ARR gives average accounting profit as a percentage of average investment; NPV discounts cash flows at a chosen rate. A project can rank differently under these methods because timing, accounting profit and project life differ.
Consider the project's cash needs, forecast risk, financing, capacity and resource constraints. For mutually exclusive projects, account for scale and opportunity cost, not just whether an NPV is positive.
Qualitative evidence can change the choice
Strategic fit, compliance, customer impact, staff skills, environmental effects, supplier reliability and implementation disruption may not be fully captured by a simple calculation. Explain how each factor affects feasibility or future cash flows rather than listing it without a link.
A strong recommendation states which evidence matters most, the conditions under which the choice works, and what could change the conclusion. Test assumptions with sensitivity or scenarios; do not claim a method removes uncertainty.
Pause and explain
A project has positive NPV but requires a licence it is unlikely to obtain. What should the decision reflect?
Worked example
Project A has 2-year payback, 18% ARR and $8,000 NPV. Project B has 3-year payback, 15% ARR and $22,000 NPV, but uses scarce staff needed for a strategic product launch. Recommend how the board should decide.
Show the worked solution
- A offers quicker recovery and a higher ARR; B has larger NPV at the stated rate.
- Check whether each calculation uses comparable lives, outlays, cash flows and assumptions.
- Assess staff constraint and strategic value, then make a conditional recommendation.
Answer The board should not select solely by one metric. If the launch is a binding priority, B's staff demand may make it infeasible or costly; if the staff can be secured and its forecast is robust, B's higher NPV may outweigh slower payback and lower ARR. Compare project life, risk, financing and strategic outcomes, then state the condition that drives the choice.
Try a topic test
Choose Easy, Normal or Difficult. Save your answers and open worked review after finishing.
Test this topic →From guided practice to a new situation
Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.
Project X has higher ARR; Project Y has shorter payback. Give a structured way to decide if the business has weak cash reserves.
Give me a hint
Identify what each result says, then weigh liquidity and total return.
Compare my reasoning
- Shorter payback may reduce the time before cash recovery.
- Higher ARR indicates a higher average accounting return under its assumptions.
- Compare NPV, project risk, liquidity needs and full-period cash flows.
Weak cash reserves may make Y's shorter payback valuable, but managers should still compare NPV, project life, forecast reliability and strategic fit. ARR and payback answer different questions; neither establishes total value alone.
Look for these in your work
- Cash constraint shapes priority
- Both measures are correctly distinguished
- Additional evidence is included
An NPV is positive only if a new product reaches a high sales target. How could the board test the recommendation?
Give me a hint
Vary the critical assumption and examine the break point or downside case.
Compare my reasoning
- Model lower sales and delayed launch scenarios.
- Test effects on cash flows, NPV and capacity.
- Identify evidence that would support the sales forecast and a response if it fails.
The board can run sensitivity or scenario analysis on sales and launch timing, check the demand evidence and model resulting cash flows and NPV. It should identify a break-even sales level and a contingency if demand is lower. A positive base-case NPV is conditional on the sales assumption.
Look for these in your work
- Key assumption is tested
- Financial effect is traced
- Decision trigger or contingency is proposed
A project shows strong financial returns but would require unsafe working hours until new staff arrive. Assess how this affects the decision.
Give me a hint
Safety and implementation feasibility affect both stakeholders and project delivery.
Compare my reasoning
- Unsafe hours create legal, ethical and workforce risks.
- Staffing delays can disrupt output, raise costs or reduce quality.
- Reassess the schedule and costs and proceed only with a workable safe plan.
The projected return does not justify unsafe working arrangements. Legal and staff risks could cause harm, turnover, penalties or delays that undermine the forecast. The board should revise the implementation plan and cost of safe staffing, then recalculate the appraisal before deciding.
Look for these in your work
- Stakeholder/safety factor is treated as material
- Operational and financial consequences are connected
- Recommendation includes a feasible condition
Common mistakes
- Counting qualitative factors without showing their effect
- Comparing percentages and dollar NPV as if they were the same measure
- Making an unconditional recommendation from uncertain forecasts
What can you explain now?
Which method directly discounts cash flows to present value?
Compare with the explanation
Net present value
NPV uses discounted cash flows and the initial investment.
After trying it yourself, choose your next review. This is your self-assessment.
Your review choice appears on Today. Sign in to sync it across devices.
Make it stick
How can appraisal results and qualitative constraints support a justified, conditional recommendation?
If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.