Jack has two options next year, Job A and Job B. The earnings in the two jobs differ and are random. In Job A, earnings will be $25 with probability 1/2, $36 with probability 1/6, or $81 with probability 1/3. In Job B, earnings will be $36 with probability 2/3 or $64 with probability 1/3. If Jack has preferences over earnings given by u(e) = √e, where e denotes actual earnings, which job should he take and why? b. Calculate the Certainty Equivalents and risk premiums for Jack for both Job A and Job B.

A First Course in Probability (10th Edition)
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Jack has two options next year, Job A and Job B. The earnings in the two jobs differ and are
random. In Job A, earnings will be $25 with probability 1/2, $36 with probability 1/6, or $81 with
probability 1/3. In Job B, earnings will be $36 with probability 2/3 or $64 with probability 1/3.
If Jack has preferences over earnings given by u(e) = √e, where e denotes actual earnings,
which job should he take and why?
b. Calculate the Certainty Equivalents and risk premiums for Jack for both Job A and Job B.
Transcribed Image Text:Jack has two options next year, Job A and Job B. The earnings in the two jobs differ and are random. In Job A, earnings will be $25 with probability 1/2, $36 with probability 1/6, or $81 with probability 1/3. In Job B, earnings will be $36 with probability 2/3 or $64 with probability 1/3. If Jack has preferences over earnings given by u(e) = √e, where e denotes actual earnings, which job should he take and why? b. Calculate the Certainty Equivalents and risk premiums for Jack for both Job A and Job B.
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