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1. The following describes a decision-makers utility function: Answer the following questions: $$ Utile -3000 -3000 -1000 -1000 -600 -500 -500 -350 0 0 100

1. The following describes a decision-makers utility function: Answer the following questions:

$$ Utile
-3000

-3000

-1000 -1000
-600 -500
-500 -350
0 0
100 100
500 150
1000 200
2000 350
4000 500
10000 11000

(a) What is the utility of a gamble in which the decision-maker would win $10,000 or lose $3,000 with probabilities of 0.5?

(b) What amount would the decision-maker accept for certain, for indifference between the two choices? (You can use interpolation to estimate)

(c) What is the gambles expected monetary value?

(d) What risk premium is being paid?

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