IB Business Management SLTopic 3 — Investment AppraisalPaper 1 & 2Core skill~11 min read
Average Rate of Return
Payback asks how fast you get your money back. ARR asks a better question: over the whole life of the project, what percentage return does it earn each year? That percentage can be compared with a rival project, or with simply leaving the money in the bank.
📚 What you need to know
ARR compares the average profit per year with the initial capital cost, as a percentage.
Total profit = total returns − capital cost.
Average annual profit = total profit ÷ number of years.
Because it is a percentage, ARR compares projects of different sizes fairly.
It uses all the cash flows, unlike payback — but it ignores when they arrive.
Compare the ARR with the interest rate available elsewhere. A 4% return is not worth the risk if a bank pays 4%.
Four steps, in order
Total returns means all the cash the project brings in. The cost only comes off once, at the start.
Average rate of return
ARR = (average annual profit ÷ initial capital cost) × 100
What the percentage is for
A percentage is only useful next to another percentage. The point of ARR is that it lets you line up options that are nothing alike — a $30,000 van, a $400,000 extension, and a savings account — and compare them on the same scale.
Many firms set a minimum ARR before a project is even considered. Mentioning that idea makes an evaluation answer sound like a real boardroom.
Strengths of ARR
Uses every cash flow the project generates, not just the early ones
Gives a percentage, so projects of different sizes compare directly
Easy to compare against interest rates and against a target return
Simple to explain to owners and lenders
Weaknesses of ARR
It is an average, so it ignores when the cash arrives
$10,000 in year one and in year eight are treated as identical
No adjustment for inflation or interest rates over time
Ignores the opportunity cost of tying money up for years
Relies entirely on forecasts that may not happen
Use the two methods together and they cover each other’s blind spots. Payback tells you how exposed you are and for how long; ARR tells you whether the whole thing is worth doing. A recommendation that quotes both, then judges, is a top-band answer.
Worked examples
WORKED EXAMPLE 1
Calculating ARR [4 marks]
A framing workshop is considering $60,000 of new machinery. The owner expects total returns of $96,000 over a five-year period. Calculate the average rate of return.
Step 1: total profit$96,000 − $60,000 = $36,000Step 2: average profit per year$36,000 ÷ 5 = $7,200Step 3: as a fraction of the cost$7,200 ÷ $60,000 = 0.12Step 4: as a percentage0.12 × 100 = 12%ARR = 12%add the meaning: the machine earns 12% a year on the money invested, comfortably ahead of a savings account
WORKED EXAMPLE 2
Two projects, both methods [10 marks]
Both projects cost $40,000. Project A returns $20,000 a year for three years. Project B returns $8,000, $12,000, $20,000, $30,000 and $30,000 over five years. Recommend one.
Step 1: payback for eachA: $40,000 ÷ $20,000 = 2 yearsB: cumulative reaches zero exactly at the end of Year 3Step 2: ARR for ATotal returns $60,000 − $40,000 = $20,000$20,000 ÷ 3 = $6,667 a year(6,667 ÷ 40,000) × 100 = 16.67%Step 3: ARR for BTotal returns $100,000 − $40,000 = $60,000$60,000 ÷ 5 = $12,000 a year(12,000 ÷ 40,000) × 100 = 30.00%B: slower to pay back, but nearly double the returnStep 4: judge it against the business
B is right for a firm with healthy cash reserves. If cash is tight, being $40,000 down for three years may be a risk it cannot take.
the recommendation must depend on the firm’s cash position — that condition is what separates the top band from the middle
💡 Exam tip
Take the cost off first. Returns are not profit until the initial outlay is subtracted.
Divide by the number of years, not the number of cash flows listed.
Two decimal places and a % sign.
Always compare the ARR with something: a rival project, a target, or an interest rate.
Quote payback and ARR together when recommending, then say which matters more here and why.
Remind the reader that both rest on forecasts, and say what would make those forecasts unreliable.
⚠ Common mix-up
Dividing total returns instead of total profit. Subtract the capital cost first.
Dividing by the cost before dividing by the years. Order matters; follow the four steps.
Confusing ARR with ROCE. ARR appraises one project in advance; ROCE measures the whole business afterwards.
Assuming the highest ARR always wins. A cash-poor firm may still need the faster payback.
Forgetting the timing weakness. ARR treats early and late money as equal, and it is not.
Presenting forecasts as facts. Every figure in an appraisal is an estimate.
That completes Topic 3 — finance, from why a business needs money all the way to judging whether an investment is worth making. Up next: Topic 4 — Marketing, where you look at how the revenue side is actually won.
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