a. If your investment rate over the next 25 years is 12%, which payoff will you choose? b. If your investment rate over the next 25 years is 8%, which payoff will you choose? c. At what investment rate will the annuity stream of $160,000 be the same as the lump-sum payment of $1,452,326?
a. If your investment rate over the next 25 years is 12%, which payoff will you choose? b. If your investment rate over the next 25 years is 8%, which payoff will you choose? c. At what investment rate will the annuity stream of $160,000 be the same as the lump-sum payment of $1,452,326?
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 22P
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Question
![Lomery 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 $4,000,000 advertised jackpot. You can take annual payments of
$160,000 at the end of the year for the next 25 years or $1,452,326 today
a. If your investment rate over the next 25 years is 12%, which payoff will you choose?
b. If your investment rate over the next 25 years is 8%, which payoff will you choose?
c. At what investment rate will the annuity stream of $160,000 be the same as the lump-sum payment of $1,452,3267
a. If your investment rate over the next 25 years is 12%, what is the present value of the $160,000 annual
payments today?
(Round to the nearest dollar)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F793b6aff-f148-4523-8250-7b38a941d7e6%2F8d9b2f73-bd08-43e6-8fb1-e860214c214c%2Fmobwopl.jpeg&w=3840&q=75)
Transcribed Image Text:Lomery 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 $4,000,000 advertised jackpot. You can take annual payments of
$160,000 at the end of the year for the next 25 years or $1,452,326 today
a. If your investment rate over the next 25 years is 12%, which payoff will you choose?
b. If your investment rate over the next 25 years is 8%, which payoff will you choose?
c. At what investment rate will the annuity stream of $160,000 be the same as the lump-sum payment of $1,452,3267
a. If your investment rate over the next 25 years is 12%, what is the present value of the $160,000 annual
payments today?
(Round to the nearest dollar)
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