5) A person with a current wealth of $100,000 who faces the prospect of 25 percent chance of losing his or her $20,000 automobile through theft during the next year Suppose this person's utility function is U(Y) = InY. a). If this person takes no action, what is the expected utility? b). What is the actuarially fair premium? What is his expected utility if he purchase this insurance. c). Suppose that now the insurance company provides a new type of insurance. This insurance costs $4900 and requires the individual to incur the first $1000 of the loss from theft would yield. That is expected utility of this new insurance? Will the person choose the insurance in b) or c)?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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Can you just answer part c please? Thanks!
5) A person with a current wealth of $100,000 who faces the prospect of 25 percent
chance of losing his or her $20,000 automobile through theft during the next year.
Suppose this person's utility function is
U(Y) = InY.
a). If this person takes no action, what is the expected utility?
b). What is the actuarially fair premium? What is his expected utility if he purchase
this insurance.
c). Suppose that now the insurance company provides a new type of insurance. This
insurance costs $4900 and requires the individual to incur the first $1000 of the loss
from theft would yield. That is expected utility of this new insurance? Will the person
choose the insurance in b) or c)?
Transcribed Image Text:5) A person with a current wealth of $100,000 who faces the prospect of 25 percent chance of losing his or her $20,000 automobile through theft during the next year. Suppose this person's utility function is U(Y) = InY. a). If this person takes no action, what is the expected utility? b). What is the actuarially fair premium? What is his expected utility if he purchase this insurance. c). Suppose that now the insurance company provides a new type of insurance. This insurance costs $4900 and requires the individual to incur the first $1000 of the loss from theft would yield. That is expected utility of this new insurance? Will the person choose the insurance in b) or c)?
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