ACCA Strategic Professional · Strategic Business Leader · Identification, assessment and measurement of risk
Orlo Pharma's board is risk neutral at corporate level and evaluates projects by expected value. Project A yields 10m with certainty. Project B yields 40m with probability 0.30 and nil otherwise. Project C yields 20m with probability 0.55 and nil otherwise. The CEO personally prefers the least variable outcome. Which statement is correct?
The risk-neutral board should choose Project B, whose expected value is 12m versus 10m for A and 11m for C. The CEO, who prefers the least variable outcome, would favour A, revealing a difference in risk attitude between manager and owners, which is an agency problem.
- AThe board should choose B, with expected value 12m, though the CEO would prefer A, indicating an agency conflict in attitudeCorrect
- BThe board should choose A because it has the highest expected value of 10m
- CThe board should choose C, with expected value 11m, which is the highest
- DThe board should be indifferent between all three projects
Explanation
Expected values: A = 10m, B = 40 x 0.30 = 12m, C = 20 x 0.55 = 11m. A risk-neutral board picks B. The CEO's preference for the certain outcome (A) shows a differing personal risk attitude, which is an agency issue. Choosing A or C ignores the higher expected value of B.
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