An investor has a certain amount of money available to invest now. Three alternative investments are available. The estimated profits, in Kwacha, of each investment under each economic condition are indicated in the following payoff table:   Event Investment selection A B C Economy declines 500 -2000 -7000 No charge 1000 2000 -1000 Economy Expand 2000 5000 20,000   Based on his own past experience, the investor assigns the following probabilities to each economic condition: P (Economy declines) = 0.30      P (No Change) = 0.50    P (Economy expands) = 0.20 i.  Compute the coefficient of variation for each investment. ii. Compute the return-to-risk ratio (RTRR) for each investment. iii. Based on (i) and (ii), what investment would you choose? Why?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 97P
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An investor has a certain amount of money available to invest now. Three alternative investments are available. The estimated profits, in Kwacha, of each investment under each economic condition are indicated in the following payoff table:

 

Event

Investment selection

A

B

C

Economy declines

500

-2000

-7000

No charge

1000

2000

-1000

Economy Expand

2000

5000

20,000

 

Based on his own past experience, the investor assigns the following probabilities to each economic condition:

P (Economy declines) = 0.30

     P (No Change) = 0.50

   P (Economy expands) = 0.20

i.  Compute the coefficient of variation for each investment.

ii. Compute the return-to-risk ratio (RTRR) for each investment.

iii. Based on (i) and (ii), what investment would you choose? Why?

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