Hard20 marksExtended Response

ACCA · Question 32 · Risk and Uncertainty in Decision Making

Section C - Constructed Response 2

NovaSteel is a multinational heavy manufacturing company considering the construction of a new smelting plant in a developing region. The project requires an initial capital investment of $50 million.

The financial success of the plant depends heavily on future global steel demand, which is highly uncertain over the next 5 years. The management accountant has modeled two possible demand scenarios and calculated the Net Present Value (NPV) for each:

  • Scenario 1: High Demand (Probability 0.60). NPV = +$30 million.
  • Scenario 2: Low Demand (Probability 0.40). NPV = -$10 million.

The Board of Directors is divided. The CEO is a risk-taker and wants to proceed based on the potential upside. The CFO is highly risk-averse and fears the $10 million loss could severely damage the company's liquidity.

Required:
(a) Calculate the Expected Value (EV) of the project's NPV and advise whether the project should be accepted based strictly on this EV. (5 marks)
(b) Discuss the limitations of using Expected Values for this specific investment decision. (7 marks)
(c) Explain how the decision would differ if the Board applied the Maximax and Maximin decision rules, and discuss which rule aligns best with the CFO's perspective. (8 marks)

How to approach this question

For (a), multiply probabilities by outcomes and sum them. For (b), focus on the 'one-off' nature of the project and the subjectivity of probabilities. For (c), define Maximax (optimistic) and Maximin (pessimistic), apply them to the numbers (+30m vs 0, and -10m vs 0), and link Maximin to the CFO.

Full Answer

Expected Value is a useful mathematical tool but has severe limitations for large, one-off capital investments because the calculated 'average' outcome will never actually occur. Decision rules like Maximax and Maximin are non-probabilistic and better reflect the psychological risk profiles of the decision-makers (e.g., the risk-seeking CEO vs the risk-averse CFO).

Common mistakes

In part (b), failing to mention that the project is a one-off event. In part (c), confusing Maximin with Minimax Regret.

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