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 $1,000,000 3aVEHISed jackpol $20,000 at the end of the year for the next 50 years or $166,090 today. payiem a. If your investment rate over the next 50 years is 14%. which payoff will you choose? b. If your investment rate over the next 50 years is 10%, which payoff will you choose? c. At what investment rate will the annuity stream of $20,000 be the same as the lump-sum payment of $166,090? a. If your investment rate over the next 50 years is 14%, what is the present value of the $20,000 annual payments today? $ (Round to the nearest dollar)

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
Section: Chapter Questions
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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 $1.000,000 advertised jackpot. You can take annual payments of
$20,000 at the end of the year for the next 50 years or $166,090 today.
a. If your investment rate over the next 50 years is 14%, which payoff will you choose?
b. If your investment rate over the next 50 years is 10%, which payoff will you choose?
c. At what investment rate will the annuity stream of $20.000 be the same as the lump-sum payment of $166.090?
a. If your investment rate over the next 50 years is 14%, what is the present value of the $20,000 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 $1.000,000 advertised jackpot. You can take annual payments of $20,000 at the end of the year for the next 50 years or $166,090 today. a. If your investment rate over the next 50 years is 14%, which payoff will you choose? b. If your investment rate over the next 50 years is 10%, which payoff will you choose? c. At what investment rate will the annuity stream of $20.000 be the same as the lump-sum payment of $166.090? a. If your investment rate over the next 50 years is 14%, what is the present value of the $20,000 annual payments today? (Round to the nearest dollar.)
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