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professor190 [17]
3 years ago
7

An individual has utility function U(x)=x1/4U(x)=x1/4 for salary, and is considering new job offer which pays $80,000 with a bon

us. The bonus will be $0, $10,000, $20,000, $30,000, $40,000, $50,000, or $60,000, each with equal probability. What is the certainty equivalent of this job offer?
Business
1 answer:
vladimir2022 [97]3 years ago
5 0

Answer:

108,280.22

Explanation:

Certainty equivalent is solved by taking the inverse utility function from the expected utility of a random wealth variable

U(x) = x^1/4

U^-1(x) = x^4

U^-1(x) === x^4

CE(x) = x^4

Salary   Bonus   Total income   U(x)= x^(1/4)       P(x)        U(x)*P(x)

80000       0          80000               16.82                1/7             2.4

80000    10000     90000               17.32                1/7            2.47

80000    20000    100000              17.78                1/7            2.54

80000    30000    110000               18.21                 1/7            2.6

80000    40000    120000              18.61                 1/7            2.66

80000    50000    130000              18.99                1/7            2.71

80000    60000    140000              19.34                1/7             <u>2.76</u>

Sum                                                                                             <u>18.14</u>

CE(x) =  18.14^4

CE(x) = 108280.22

So therefore,  the certainty equivalent of this job offer is 108,280.22

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Answer:

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So the given situation represents the business analysis stage

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3 years ago
Assume the real rate of interest is 3.00% and the inflation rate is 6.00%. What is the value today of receiving 14,488.00 in 13.
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Answer:

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Explanation:

Giving the following information:

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<u>This is a rare case where the interest rate is negative:</u>

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6 0
3 years ago
Alto and Solo are all-equity firms. Alto has 2,400 shares outstanding at a market price of $24 a share. Solo has 4,000 shares ou
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Answer:

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The current sections of Whispering Winds Corp.’s balance sheets at December 31, 2019 and 2020, are presented here. Whispering Wi
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Answer:

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depreciation  expense                                             $24,900

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4 0
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Answer:b

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E.6.C

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