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OCR A-level Business (H436) · Strategic decision making, investment decisions and managing risk
Mini-Lesson

Strategic decision making, investment decisions and managing risk

This mini-lesson covers the decision-making core of H436 Unit 7: scientific decision making, decision trees and expected values, investment appraisalpayback, ARR and NPV, all calculated in full — and the difference between risk and uncertainty, with contingency planning.

Work through each screen, answer the questions as you go (some are written, many are calculations) and collect ⭐ stars. Watch for the Calculate and Exam skill flags. Press Start when you're ready.

Unit 7 · Decisions

Scientific decision making

Decisions can be taken by intuition (fast, cheap, uses experience — but subjective and unaccountable) or scientifically, using data and models.

The scientific cycle: set the objective → gather data → analyse the options → make the decision → implement → review against the objective.

  • + Reduces risk, is evidence-based, forces the assumptions into the open and can be justified to shareholders and lenders.
  • Slow and costly, depends entirely on the quality of the data and the probabilities used, and can crowd out creativity and entrepreneurial flair.
Unit 7 · Decision trees

Decision trees and expected values

A decision tree maps choices (□ decision nodes) and chance outcomes (○ chance nodes) with their probabilities and payoffs.

expected value = Σ (probability × payoff)net gain = expected value − the cost of the decision
Worked example — Option A: launch nationally (costs £150,000)

0.6 chance of success paying £900,000; 0.4 chance of failure costing −£200,000.

EV = (0.6 × 900,000) + (0.4 × −200,000) = 540,000 − 80,000 = £460,000

Net gain = 460,000 − 150,000 = £310,000

Evaluate the tool: trees force probabilities and payoffs to be stated explicitly and compare options on one measure. But the probabilities are estimates, payoffs ignore qualitative factors (brand damage, staff morale), and the model assumes the decision-maker is risk-neutral. A small firm may reject the higher EV because it cannot survive the downside.

Calculate

Your turn — expected value

1Option A: 0.6 chance of a £900,000 payoff and a 0.4 chance of a −£200,000 payoff. Calculate the expected value.
£
Hint: (0.6 × 900,000) + (0.4 × −200,000) = 540,000 − 80,000.
Calculate

Your turn — the rival option

2Option B: a 0.5 chance of £600,000 and a 0.5 chance of £100,000. Calculate the expected value.
£
Hint: (0.5 × 600,000) + (0.5 × 100,000).
Quick check

Quick check

?Option A has a net gain of £310,000 (EV £460,000 less £150,000 cost). Option B has an EV of £350,000 and costs £60,000, giving a net gain of £290,000. A small firm with limited cash reserves might still choose B because:
Unit 7 · Appraisal

Investment appraisal — payback

Investment appraisal judges whether a capital project is worth the money. Three methods:

payback period = the time taken for cumulative net cash inflows to repay the initial cost
YearNet cash flow (£)Cumulative (£)
0(480,000)(480,000)
1120,000(360,000)
2180,000(180,000)
3200,00020,000

After 2 years, £180,000 is still outstanding, and year 3 brings in £200,000. So payback = 2 + (180,000 ÷ 200,000) = 2.9 years (2 years and about 11 months).

+ Simple, focuses on cash and liquidity, useful in fast-changing markets. Ignores everything after payback and ignores the time value of money.

Calculate

Your turn — payback period

3Using the table above (initial cost £480,000; inflows £120,000, £180,000, £200,000), calculate the payback period in years to one decimal place.
years
Hint: after 2 years £180,000 is outstanding. 180,000 ÷ 200,000 = 0.9 of year 3.
Unit 7 · Appraisal

Average rate of return (ARR)

ARR (%) = (average annual profit ÷ initial investment) × 100average annual profit = (total net inflows − initial cost) ÷ number of years
Worked example

Initial investment £480,000; total inflows over 5 years £900,000.

Total profit = 900,000 − 480,000 = £420,000. Average annual profit = 420,000 ÷ 5 = £84,000.

ARR = (84,000 ÷ 480,000) × 100 = 17.5% — compare that with the interest rate and with the firm's criterion rate.

+ Uses all the cash flows and gives a % that is easy to compare with interest rates. Ignores the timing of cash flows and the time value of money.

Calculate

Your turn — average rate of return

4A project costs £480,000 and returns total inflows of £900,000 over 5 years. Calculate the ARR.
%
Hint: total profit = 900,000 − 480,000 = 420,000. Average annual profit = 420,000 ÷ 5 = 84,000. Then (84,000 ÷ 480,000) × 100.
Unit 7 · Appraisal

Net present value (NPV)

Money in the future is worth less than money today. Discounting converts future cash flows into present values using discount factors.

NPV = Σ (net cash flow × discount factor) − initial investmentaccept the project if NPV is positive
YearCash flow (£)Factor at 10%Present value (£)
1200,0000.909181,800
2200,0000.826165,200
3200,0000.751150,200
Total present value497,200

With an initial investment of £480,000: NPV = 497,200 − 480,000 = +£17,200 → accept.

+ The only method that accounts for the time value of money and uses all cash flows. Complex, and hugely sensitive to the discount rate chosen — a higher rate can flip the decision.

Calculate

Your turn — net present value

5Total present value of the inflows is £497,200 and the initial investment is £480,000. Calculate the NPV.
£
Hint: NPV = total present value − initial investment.
Sort it

Sort the appraisal methods

Tap a statement, then tap the method it describes.

⏱️ Payback

📊 ARR

💸 NPV

Unit 7 · Risk

Risk, uncertainty and contingency planning

Risk can be quantified — you can attach a probability to it (a 1 in 20 chance of machine failure), so it can be insured against or built into a decision tree. Uncertainty cannot: a pandemic, a war, a sudden technological breakthrough.

  • Contingency planning — a documented "what if" plan: crisis management teams, back-up suppliers, IT disaster recovery, buffer stock, insurance.
  • + Faster, calmer response; protects reputation and reassures stakeholders. Costs time and money for events that may never happen; a plan can create false confidence if it is never rehearsed.
  • Business continuity and crisis communication matter as much as the operational fix — the reputational damage often exceeds the direct cost.

Judgement: the value of contingency planning depends on the probability of the event and the severity of the consequences. Low probability plus catastrophic consequences (a data breach) still justifies heavy spending.

Match it

Match the technique to its meaning

Tap a card on the left, then its partner on the right.

Technique
Meaning
Quick check

Quick check

?A project has a positive NPV at a 6% discount rate but a negative NPV at 12%. This shows that:
Unit 7 · Sensitivity

Sensitivity analysis and criterion rates

Appraisal figures rest on forecasts. Sensitivity analysis asks: what if we are wrong? Recalculate the NPV or payback with, say, sales 15% lower or costs 10% higher, and see whether the decision still holds.

  • Firms set a criterion rate — a minimum acceptable ARR or a maximum acceptable payback period — and reject anything that fails it.
  • Qualitative factors that no model captures: the effect on staff, the brand, the environment, and the firm's objectives and appetite for risk.

Use the methods together. Payback tests liquidity, ARR tests profitability, NPV tests value once time is priced in. Where they disagree, the judgement depends on the firm's cash position and time horizon.

Calculate

Your turn — sensitivity to the discount rate

6Re-appraise the same project at a 12% discount rate. The discount factors are 0.893, 0.797 and 0.712, and each year brings in £200,000. The investment is £480,000. Calculate the NPV.
£
Hint: factors total 2.402. Present value = 2.402 × 200,000 = £480,400. Then subtract £480,000.
Quick check

Quick check

?At 10% the project's NPV was +£17,200; at 12% it is only +£400. A sensible conclusion is:
🏆

Mini-lesson complete!

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