Q1)  An expected utility maximiser owns a car worth £60000£60000 and has a bank account with £20000£20000. The money in the bank is safe, but there is a 50%50% probability that the car will be stolen. The utility of wealth for the agent is u(y)=ln(y)u(y)=ln⁡(y) and they have no other assets.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Q1) 

An expected utility maximiser owns a car worth £60000£60000 and has a bank account with £20000£20000. The money in the bank is safe, but there is a 50%50% probability that the car will be stolen. The utility of wealth for the agent is u(y)=ln(y)u(y)=ln⁡(y) and they have no other assets.

Q2)

Consider the setup from Question 1. A risk-neutral insurance company is willing to insure the car at the premium of π=£2/3π=£2/3 for every one pound of coverage.

 

 

Consider the setup from Questions 1 and 2. How much profits, in expectation, does the insurance company earn on insuring the individual?
£5 000
Ob.
£10 000
O c.
£20 000
O d. £0
Transcribed Image Text:Consider the setup from Questions 1 and 2. How much profits, in expectation, does the insurance company earn on insuring the individual? £5 000 Ob. £10 000 O c. £20 000 O d. £0
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