Lottery. Your dreams of becoming rich have just come true. You have won the State of Tranquility's Lottery. The State offers you two payment plans for the $5,000,000 advertised jackpot. You can take annual payments of $250,000 at the end of the year for the next 20 years or $2,128,391 today. a. If your investment rate over the next 20 years is 12%, which payoff will you choose? b. If your investment rate over the next 20 years is 9%, which payoff will you choose? c. At what investment rate will the annuity stream of $250,000 be the same as the lump-sum payment of $2,128,391? a. If your investment rate over the next 20 years is 12%, what is the present value of the $250,000 annual payments today? (Round to the nearest dollar.)

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 22P
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Lottery. Your dreams of becoming rich have just come true. You have won the State of Tranquility's Lottery. The State offers you two payment
plans for the $5,000,000 advertised jackpot. You can take annual payments of $250,000 at the end of the year for the next 20 years or
$2,128,391 today.
a. If your investment rate over the next 20 years is 12%, which payoff will you choose?
b. If your investment rate over the next 20 years is 9%, which payoff will you choose?
c. At what investment rate will the annuity stream of $250,000 be the same as the lump-sum payment of $2,128,391?
a. If your investment rate over the next 20 years is 12%, what is the present value of the $250,000 annual payments today?
(Round to the nearest dollar.)
Transcribed Image Text:Lottery. Your dreams of becoming rich have just come true. You have won the State of Tranquility's Lottery. The State offers you two payment plans for the $5,000,000 advertised jackpot. You can take annual payments of $250,000 at the end of the year for the next 20 years or $2,128,391 today. a. If your investment rate over the next 20 years is 12%, which payoff will you choose? b. If your investment rate over the next 20 years is 9%, which payoff will you choose? c. At what investment rate will the annuity stream of $250,000 be the same as the lump-sum payment of $2,128,391? a. If your investment rate over the next 20 years is 12%, what is the present value of the $250,000 annual payments today? (Round to the nearest dollar.)
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