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Assume you have £300,000 worth of assets (W). This includes savings, property and your car. You use the car to drive to school/university every day and there is a 1 in 20 (or 5 per cent) chance per year that you will be involved in an accident that results in the car being a write-off. Assume its market value is £40,000 and remains the same i.e. it does not depreciate. You can take out a full insurance

Assume you have £300,000 worth of assets (W). This includes savings, property and your car. You use the car to drive to school/university every day and there is a 1 in 20 (or 5 per cent) chance per year that you will be involved in an accident that results in the car being a write-off. Assume its market value is £40,000 and remains the same i.e. it does not depreciate. You can take out a full insurance

Essentials Of Investments
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
Problem 1PS
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Assume you have £300,000 worth of assets (W). This includes savings, property and your car. You use the car to drive to school/university every day and there is a 1 in 20 (or 5 per cent) chance per year that you will be involved in an accident that results in the car being a write-off. Assume its market value is £40,000 and remains the same i.e. it does not depreciate. You can take out a full insurance policy for the year that pays out the full £40,000 market value of the car if you have the accident. Assume the insurance company has many customers with exactly the same assets as you and who all face the same risk of being involved in a similar accident. 

    1. What is the expected value of taking the gamble i.e. not buying the insurance policy?
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