A firm has three investment alternatives. The payoff from each alternative (in thousand Ringgit) under each state of nature and its associated probabilities are as given in table below. Economic Condition Stable Up 75 Investment Down D1 50 25 D2 100 25 D3 50 50 50 Probabilities 0.3 0.5 0.2 a) Using the expected value approach, which investment is preferred? b) For the investment having a payoff of RM100,000 with probability p and RMO with probability (1 - p), two decision makers expressed the following indifference probabilities as given in table below. Indifference Probability (p) Decision Maker Decision Maker B Profit (RM) 75,000 50,000 25,000 A 0.9 0.7 0.6 0.5 0.2 0.3

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A firm has three investment alternatives. The payoff from each alternative (in thousand
Ringgit) under each state of nature and its associated probabilities are as given in table
below.
Economic Condition
Stable
Up
75
Investment
Down
D1
50
25
D2
100
25
D3
50
50
50
Probabilities
0.3
0.5
0.2
a) Using the expected value approach, which investment is preferred?
b) For the investment having a payoff of RM100,000 with probability p and RMO with
probability (1 - p), two decision makers expressed the following indifference
probabilities as given in table below.
Indifference Probability (p)
Decision Maker
Decision Maker B
Profit (RM)
75,000
50,000
25,000
A
0.9
0.7
0.6
0.5
0.2
0.3
N53
Transcribed Image Text:A firm has three investment alternatives. The payoff from each alternative (in thousand Ringgit) under each state of nature and its associated probabilities are as given in table below. Economic Condition Stable Up 75 Investment Down D1 50 25 D2 100 25 D3 50 50 50 Probabilities 0.3 0.5 0.2 a) Using the expected value approach, which investment is preferred? b) For the investment having a payoff of RM100,000 with probability p and RMO with probability (1 - p), two decision makers expressed the following indifference probabilities as given in table below. Indifference Probability (p) Decision Maker Decision Maker B Profit (RM) 75,000 50,000 25,000 A 0.9 0.7 0.6 0.5 0.2 0.3 N53
Find the most preferred investment for each decision maker using the expected
utility approach.
c) Why decision makers A and B do not select the same decision alternative?
Transcribed Image Text:Find the most preferred investment for each decision maker using the expected utility approach. c) Why decision makers A and B do not select the same decision alternative?
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