Based in the U.S., Your firm faces a 25% chance of a potential loss of $20 million next year. If your firm implements new policies, it can reduce the chance of this loss by 10%, but these new policies have an upfront cost of $300,000. Suppose the beta of the loss is 0, and the risk-free interest rate 5%. IS a) If the firm is uninsured, what is the NPV of implementing the new policies? b) If the firm is fully insured, what is the NPV of implementing the new policies? c) Given your answer to question b), what is the actuarially fair cost of full insurance? d) What is the minimum-size deductible that would leave your firm with an incentive to implement the new policies? e) What is the actuarially fair price of an insurance policy with the deductible in question d

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
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Based in the U.S., Your firm faces a 25% chance of a potential loss of $20 million next year. If your
firm implements new policies, it can reduce the chance of this loss by 10%, but these new policies
have an upfront cost of $300,000. Suppose the beta of the loss is 0, and the risk-free interest rate
5%.
IS
a) If the firm is uninsured, what is the NPV of implementing the new policies?

b) If the firm is fully insured, what is the NPV of implementing the new policies?

c) Given your answer to question b), what is the actuarially fair cost of full insurance?

d) What is the minimum-size deductible that would leave your firm with an incentive to
implement the new policies?

e) What is the actuarially fair price of an insurance policy with the deductible in question d

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