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Two advantages of payback?
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Two advantages of payback?
Simple to calculate/understand; focuses on cash flow — good for cash-limited businesses.
Simple + cash-focused
How to calculate payback with uneven cash flows?
Use cumulative cash flow — add up year by year until you pass the initial cost.
Cumulative method
Key payback formula for uneven flows?
Years completed + (Remaining ÷ Year's cash flow) × 12 months
Years + (remaining/flow) × 12
When is payback most useful?
Tight cash flow businesses, fast-changing industries (tech), start-ups, or as a quick screening tool.
Cash-tight, fast-change, start-up
What is the payback period?
The time it takes for an investment to generate enough cash inflows to recover the initial cost.
Time to get money back
Two disadvantages of payback?
Ignores cash flows after payback; ignores time value of money.
Post-payback + time value ignored
Machine costs $30k, generates $10k/year. Payback?
$30k ÷ $10k = 3 years
30/10 = 3
Cost $50k. Y1:$15k, Y2:$20k, Y3:$25k. Payback?
Cumulative: Y1=$15k, Y2=$35k, Y3=$60k. Need $15k more at Y3 start. 2 + (15/25)×12 = 2 years 7.2 months.
During Year 3
Why is payback good for tech industries?
Equipment becomes obsolete fast — need to recover investment quickly before technology changes.
Obsolescence risk
Shorter payback = ___ risk
Lower — money comes back faster, less time exposed to uncertainty.
Lower
Payback ignores what two things?
Cash flows AFTER payback and the time value of money.
Post-payback + time value
Shorter or longer payback preferred?
Shorter — lower risk, money back faster.
Shorter = less risk
Why is ignoring post-payback cash flows a problem?
May reject very profitable long-term investments that generate huge returns after the payback point.
Misses long-term returns
Should payback be the ONLY method used?
Rarely — it's a good starting point but should be combined with ARR for a complete picture.
Starting point, not the whole picture
Formula to interpolate payback month?
Years + (Remaining ÷ That year's cash flow) × 12
Years + remaining/flow × 12
Why show the cumulative cash flow column?
Makes it easy to spot payback and earns method marks.
Working + marks
What question does payback answer?
How long before I get my money back?
When do I break even?
What is the time value of money?
$1 today is worth more than $1 next year — you could invest today's dollar and earn interest.
Money now > money later
Always show this column for payback questions:
Cumulative cash flow — shows your working and when payback occurs.
Cumulative column
Why do start-ups prefer payback?
They have limited finance and need their money back quickly to survive.
Limited cash = need fast return
Payback focuses on risk and ___; ARR focuses on ___
Payback = risk and cash flow. ARR = profitability.
Risk vs return
Payback is good for comparing projects how?
Shorter payback = lower risk. Useful as a quick screening tool before deeper analysis.
Quick risk comparison
Quick: Payback measures ___ while ARR measures ___
Payback = time to recover cost. ARR = average annual return as percentage.
Time vs return %
Why is payback the simplest investment appraisal?
Quick to calculate, easy to understand, clear time-based answer.
Quick + easy + clear
What is cumulative cash flow?
A running total of all cash inflows received to date.
Running total
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Higher or lower ARR preferred?
Higher — means a higher percentage return on the investment.
Higher = better
What is the ARR formula?
ARR = (Average annual profit ÷ Initial investment) × 100. Average annual profit = Total profit ÷ Number of years.
Avg profit / Investment × 100
ARR formula — state it
ARR = (Average annual profit ÷ Initial investment) × 100
Avg profit / Cost × 100
Invest $80k. Y1:$25k, Y2:$30k, Y3:$35k, Y4:$20k. Calculate ARR.
Total flows=$110k. Total profit=$110k−$80k=$30k. Avg annual=$30k÷4=$7,500. ARR=($7,500÷$80k)×100=9.4%
Don't forget to subtract cost!
Two advantages of ARR?
Considers total profitability over full life; percentage makes comparison easy (vs bank rates, other projects).
Total profit + easy comparison
What should you compare ARR against?
Bank interest rate (should beat it) and a target/criterion rate set by the business.
Bank rate + target rate
Most common ARR student mistake?
Forgetting to subtract the initial investment. Total cash flows ≠ total profit!
Flows − cost = profit
What does ARR measure?
The average annual profit from an investment as a percentage of the initial cost.
Annual return as %
Total profit = Total cash flows minus ___
Initial cost — don't forget to subtract the investment!
Initial cost
Two disadvantages of ARR?
Ignores timing of cash flows; ignores time value of money. Uses averages that hide year-to-year differences.
Timing + time value ignored
How does ARR differ from payback?
ARR considers total profitability over the investment's entire life; payback only considers time to recover cost.
Total profit vs time
Step 1 of ARR calculation?
Add up ALL net cash flows over the investment's life to get total inflows.
Sum all flows
Why is ignoring timing a problem for ARR?
A project where all profit comes in Year 1 is treated the same as one where it comes in Year 5 — timing matters!
Early cash > late cash
If ARR is negative, what should the business do?
Reject the investment — it loses money overall.
Reject
ARR advantage over payback?
Considers TOTAL profitability, not just time to recover cost.
Total profit focus
ARR uses averages — why is this a limitation?
Can hide big year-to-year differences — one great year can mask several poor ones.
Averages smooth reality
Why express ARR as a percentage?
Easy to compare with bank interest rates and other investments — if ARR beats the bank, invest!
Compare with bank rate
ARR shares this limitation with payback:
Ignores the time value of money — both treat future cash as equal to today's cash.
Time value ignored
Project A: ARR 15%. Project B: ARR 9%. Bank rate 5%. Choose?
Both beat bank rate. Project A preferred — higher return (15% > 9%).
Highest ARR wins
Step 2 of ARR?
Subtract initial cost from total flows to get TOTAL PROFIT.
Total flows − cost = profit
Steps 3 and 4 of ARR?
Divide total profit by years = average annual profit. Then (avg ÷ initial cost) × 100 = ARR%.
Avg profit ÷ cost × 100
Why compare ARR to bank interest rate?
If ARR is lower than the bank rate, the business would be better off just saving the money.
Investment must beat the bank
ARR of 12% vs bank rate of 5%. What should the business do?
Invest — the project returns 12%, beating the 5% bank rate.
ARR > bank rate = invest
Quick: Higher ARR = ___ return
Better — higher percentage return on investment.
Better
ARR focuses on PROFIT; payback focuses on ___
Cash flow — ARR looks at overall returns, payback looks at when cash comes back.
Cash flow
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What does payback focus on vs ARR?
Payback = how QUICKLY money comes back (risk + cash flow). ARR = how PROFITABLE overall (return).
Speed vs profit
Name three qualitative factors in investment decisions
Corporate objectives (strategy fit), risk/uncertainty, environmental/ethical impact, staff implications, market conditions.
Strategy, risk, ethics, staff, market
Five-step recommendation structure?
1) Calculate payback + ARR, 2) Compare quantitative results, 3) Consider qualitative factors, 4) Recommend + justify, 5) Acknowledge limitations.
Calc → Compare → Qual → Recommend → Limits
Payback focuses on ___; ARR focuses on ___
Payback = cash flow and risk. ARR = profitability.
Cash vs profit
For 10+ mark questions, you MUST use what?
Both quantitative (calculations) AND qualitative (non-financial) factors — missing either limits marks.
Quant + qual required
Why can't numbers alone make the decision?
Non-financial factors (strategy, ethics, risk, market) can't be captured in calculations but matter enormously.
Numbers miss the big picture
Short payback but low ARR — what does this mean?
Recovers cash fast but isn't very profitable overall.
Fast return, low profit
Why does a recommendation WITHOUT justification score poorly?
Examiner wants to see WHY you chose it — the reasoning matters more than the choice itself.
Reasoning > choice
Qualitative factors include: strategy, ethics, risk, ___
Market conditions and staff implications — non-financial factors affecting the decision.
Market + staff
Why consider environmental/ethical impact?
Poor choices can damage reputation, attract regulation, or alienate customers — hurting long-term profit.
Reputation + regulation risk
What should Step 5 of a recommendation include?
Acknowledging limitations — the forecast could be wrong, results depend on assumptions.
Uncertainty + assumptions
Long payback but high ARR — what does this mean?
More profitable overall but ties up cash for longer — more risk.
High profit, slow return
Project X: PB 2yr, ARR 8%. Project Y: PB 4yr, ARR 18%. Who chooses X vs Y?
Cash-strapped start-up → X (needs cash back fast). Well-funded business → Y (higher return).
Context determines choice
The 'best' investment on paper isn't always best in practice. Why?
Qualitative factors (risk, strategy, ethics, market conditions) can tip the balance.
Paper vs reality
When recommending, use both ___ and ___ analysis
Quantitative (calculations) and qualitative (non-financial factors) — missing either limits marks.
Quant + qual
Why acknowledge uncertainty in your recommendation?
Cash flow predictions may be wrong — showing awareness of this demonstrates mature analysis.
Predictions aren't guarantees
Even if the choice seems 'obvious', what must you do?
Explain your reasoning — the examiner wants to see the thought process, not just the answer.
Show your thinking
Quick: They may conflict — payback says X, ARR says Y. Then what?
Consider which measure matters more given the business's context (cash needs, risk appetite, strategy).
Context decides
How do competitor actions affect investment decisions?
If rivals are investing in similar things, not investing could mean falling behind competitively.
Keep up or fall behind
Payback and ARR may give ___ recommendations
Different/conflicting — which matters more depends on the business's situation and priorities.
Different answers possible
Topic 3.8 study notes
Full notes & explanations for Investment appraisal
BM exam skills
Paper structures, command terms & tips
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