QUESTION B2 A financial Analyst wants to evaluate the feasibility of his investment options. The following payoff table shows the profit ($Million) of each investment option under various future economic environments: Payoff (profit) table Economic environment Investment option Good Fair Poor X 25 8 -15 Y 20 15 -10 18 5 10 According to expert's predictions the probability of the economic environments are as below: 0.40 for good economic environment, 0.50 for fair economic environment, and 0.10 for poor economic environment. swer all the questions ow by showing your workings where necessary. (a) Determine the best instment option using the following decision approach. (1) Маximin (ii) Ma imax Answer B and C Hurwicz: when coefficienm ntimism a = 0.4 (iv) ithout further calculation, what would be tun ision for the cases: a =1 and a = (b) By using the payoff table above, construct an opportunity loss (regret) table. Determine the best option by using Minimax regret approach. Determine the best portfolio by using Expected Opportunity Loss approach. (c) Determine the portfolio which will give the best expected profits. Without further calculation, write down the expected value of perfect information (EVPI). Interpret the meaning of EVPI.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
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A4 Answer b&c
QUESTION B2
A financial Analyst wants to evaluate the feasibility of his investment options. The following
payoff table shows the profit ($Million) of each investment option under various future
economic environments:
Payoff (profit) table
Economic environment
Investment option
Good
Fair
Poor
25
8
-15
Y
20
15
-10
18
5
10
According to expert's predictions the probability of the economic environments are as below:
0.40 for good economic environment, 0.50 for fair economic environment, and 0.10 for poor
economic environment.
swer all the questions ow by showing your workings where necessary.
(а)
Determine the best instment option using the following decision approach.
Мaximin
(ii)
Mimax
Answer B and C
Hurwicz: when coefficien antimism a = 0.4
(iv)
ithout further calculation, what would be tne
sision for the cases: a = 1 and
(b)
By using the payoff table above, construct an opportunity loss (regret) table.
Determine the best option by using Minimax regret approach.
Determine the best portfolio by using Expected Opportunity Loss approach.
(c)
Determine the portfolio which will give the best expected profits.
Without further calculation, write down the expected value of perfect information
(EVPI). Interpret the meaning of EVPI.
Transcribed Image Text:QUESTION B2 A financial Analyst wants to evaluate the feasibility of his investment options. The following payoff table shows the profit ($Million) of each investment option under various future economic environments: Payoff (profit) table Economic environment Investment option Good Fair Poor 25 8 -15 Y 20 15 -10 18 5 10 According to expert's predictions the probability of the economic environments are as below: 0.40 for good economic environment, 0.50 for fair economic environment, and 0.10 for poor economic environment. swer all the questions ow by showing your workings where necessary. (а) Determine the best instment option using the following decision approach. Мaximin (ii) Mimax Answer B and C Hurwicz: when coefficien antimism a = 0.4 (iv) ithout further calculation, what would be tne sision for the cases: a = 1 and (b) By using the payoff table above, construct an opportunity loss (regret) table. Determine the best option by using Minimax regret approach. Determine the best portfolio by using Expected Opportunity Loss approach. (c) Determine the portfolio which will give the best expected profits. Without further calculation, write down the expected value of perfect information (EVPI). Interpret the meaning of EVPI.
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