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E4 Investment appraisal: risk, simulation and rationing

Written by Saad Rahman (ACCA)

8 ACCA New at Expertise level questions with answers and explanations.

Printable worksheet with answer key

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

    • 1 $17,000
    • 2 $10,000
    • 3 $-8,000
    • 4 $30,000
    Show answer

    Correct answer: $17,000

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

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  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?

    • 1 30%
    • 2 50%
    • 3 80%
    • 4 20%
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    Correct answer: 20%

    Only the -$40,000 outcome is negative.

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  3. What does simulation do in investment appraisal?

    • 1 Repeats the appraisal many times using random values for uncertain variables
    • 2 Fixes all variables at their average
    • 3 Replaces the discount rate
    • 4 Avoids probabilities
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    Correct answer: Repeats the appraisal many times using random values for uncertain variables

    It gives a distribution of NPVs.

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  4. Which is a disadvantage of simulation?

    • 1 It is free
    • 2 It needs probability distributions that may be hard to estimate
    • 3 It cannot show risk
    • 4 It uses only one variable
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    Correct answer: It needs probability distributions that may be hard to estimate

    It is also costly and has no clear decision rule.

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  5. A risk-adjusted discount rate for a risky project is:

    • 1 The cost of capital less a premium
    • 2 The cost of capital plus a premium
    • 3 The inflation rate
    • 4 Zero
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    Correct answer: The cost of capital plus a premium

    The premium is subjective.

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  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?

    • 1 0.50
    • 2 2.00
    • 3 0.30
    • 4 0.83
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    Correct answer: 0.50

    25,000 / 50,000.

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  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?

    • 1 $46,000
    • 2 $25,000
    • 3 $55,000
    • 4 $30,000
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    Correct answer: $46,000

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

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  8. For indivisible projects under capital rationing, how should they be compared?

    • 1 By payback only
    • 2 By testing combinations of whole projects
    • 3 By cost only
    • 4 By the profitability index only
    Show answer

    Correct answer: By testing combinations of whole projects

    A ranking by index may not give the best combination.

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