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Chapter 3, Problem 8FPP
Summary Introduction

To determine: The cash option payout.

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lottery winner has a decision between a lump sum of $1,000,000 or a 20 year annuity of $100,000 paid at the end of each of the next 20 years. If the lottery winner could invest or borrow funds at an annual effective interest rate of 5%, which alternative would be preferred and by how much in present value?
The winner of a lottery is given a choice of $1,000,000 cash today or $2,000,000 paid out as follows: $100,000 cash per year for 20 years with the first payment today and 19 subsequent annual payments thereafter. The inflation rate is expected to be constant at 4%/yr over the award period and the winner’s TVOM (real interest rate) is 3.5%/yr. Solve, a. Which choice is better for the winner? Neglect the effect of taxes, life span, and uncertainty. b. At what value of inflation are the two choices economically equivalent? c. What would you do if you do NOT neglect the effect of life span and uncertainty?
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