Hard2 marksMultiple Choice
Decision-making techniquesRisk and UncertaintyEVPI

ACCA · Question 24 · Decision-making techniques

Section B - Case 2: CyberShield

CyberShield is a tech startup developing a new B2B SaaS (Software as a Service) platform for cybersecurity.

Assume the probabilities of competitor reaction are: Weak (0.6) and Strong (0.4).
Expected Value (EV) of Aggressive = (5000.6) + (-1000.4) = 260
EV of Moderate = (3000.6) + (1000.4) = 220
EV of Conservative = (1500.6) + (1200.4) = 138

A market research firm offers to find out exactly what the competitor will do. What is the Expected Value of Perfect Information (EVPI)?

Answer options:

A.

$260,000

B.

$340,000

C.

$80,000

D.

$88,000

How to approach this question

1. Calculate EV with perfect information: For each state of nature, pick the best outcome and multiply by its probability. Sum these up. 2. Subtract the best EV without perfect information (260).

Full Answer

D.$88,000✓ Correct
1. EV with perfect information: If reaction is Weak (prob 0.6), best choice is Aggressive ($500k). If reaction is Strong (prob 0.4), best choice is Conservative ($120k). EV with perfect info = (500 * 0.6) + (120 * 0.4) = 300 + 48 = 348. 2. EV without perfect information = 260 (the highest EV of the three strategies). 3. EVPI = EV with perfect info - EV without perfect info = 348 - 260 = 88 ($88,000).

Common mistakes

Forgetting to subtract the EV without perfect information, or picking the wrong 'best' option for the Strong reaction.

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