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E4 Investment appraisal: risk, simulation and rationing

ACCA · New at Expertise level · 8 questions

Name: ____________________   Date: ____________

  1. NPVs of +$50,000 (p 0.3), +$20,000 (0.5) and -$40,000 (0.2) are expected. What is the expected NPV?

    • A $17,000
    • B $10,000
    • C $-8,000
    • D $30,000
  2. In the same project (NPVs of +$50,000, +$20,000 and -$40,000 with probabilities 0.3, 0.5 and 0.2), what is the probability of a negative NPV?

    • A 30%
    • B 50%
    • C 80%
    • D 20%
  3. What does simulation do in investment appraisal?

    • A Repeats the appraisal many times using random values for uncertain variables
    • B Fixes all variables at their average
    • C Replaces the discount rate
    • D Avoids probabilities
  4. Which is a disadvantage of simulation?

    • A It is free
    • B It needs probability distributions that may be hard to estimate
    • C It cannot show risk
    • D It uses only one variable
  5. A risk-adjusted discount rate for a risky project is:

    • A The cost of capital less a premium
    • B The cost of capital plus a premium
    • C The inflation rate
    • D Zero
  6. Project A has NPV $30,000 for $100,000 and project B has NPV $25,000 for $50,000. What is the profitability index of B?

    • A 0.50
    • B 2.00
    • C 0.30
    • D 0.83
  7. Project A has NPV $30,000 for $100,000 and project B has NPV $25,000 for $50,000. Both are divisible and $120,000 is available. What is the best total NPV?

    • A $46,000
    • B $25,000
    • C $55,000
    • D $30,000
  8. For indivisible projects under capital rationing, how should they be compared?

    • A By payback only
    • B By testing combinations of whole projects
    • C By cost only
    • D By the profitability index only

Answer key

1. A, 2. D, 3. A, 4. B, 5. B, 6. A, 7. A, 8. B

  1. 15,000 + 10,000 - 8,000 = 17,000.

  2. Only the -$40,000 outcome is negative.

  3. It gives a distribution of NPVs.

  4. It is also costly and has no clear decision rule.

  5. The premium is subjective.

  6. 25,000 / 50,000.

  7. B in full (25,000) and 70/100 of A (21,000).

  8. A ranking by index may not give the best combination.