You have just won the lottery. The state offers you an amortized payout of $200,000 at the end of each year for 30 years. The payout is taxable and the tax rate is 60%. You do not expect the government (who pays the payout) to go bankrupt. The risk-free rate is 9% per year and the total expected market return is 17%. What is the value of the lump-sum payment that would cause you to be indifferent between taking the lump-sum or the amortized payout?

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter5: Investment Decisions: Look Ahead And Reason Back
Section: Chapter Questions
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You have just won the lottery. The state offers you an amortized payout of $200,000 at the end of each year for 30 years. The payout is taxable and the tax rate is 60%. You do not expect the government (who pays the payout) to go bankrupt. The risk-free rate is 9% per year and the total expected market return is 17%. What is the value of the lump-sum payment that would cause you to be indifferent between taking the lump-sum or the amortized payout?

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