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 ​$3,000,000 advertised jackpot. You can take annual payments of ​$120,000 at the end of the year for the next 25 years or ​$1,280,973 today.   a.  If your investment rate over the next 25 years is 9​%, which payoff will you​ choose? b. If your investment rate over the next 25 years is 7​%, which payoff will you​ choose? c. At what investment rate will the annuity stream of ​$120,000 be the same as the​ lump-sum payment of ​$1,280,973​? a.  If your investment rate over the next 25 years is 9​%, what is the present value of the ​$120,000 annual payments​ today?   ​$nothing   ​(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
​$3,000,000
advertised jackpot. You can take annual payments of
​$120,000
at the end of the year for the next
25
years or
​$1,280,973
today.
 
a.  If your investment rate over the next
25
years is
9​%,
which payoff will you​ choose?
b. If your investment rate over the next
25
years is
7​%,
which payoff will you​ choose?
c. At what investment rate will the annuity stream of
​$120,000
be the same as the​ lump-sum payment of
​$1,280,973​?
a.  If your investment rate over the next
25
years is
9​%,
what is the present value of the
​$120,000
annual payments​ today?
 
​$nothing  
​(Round to the nearest​ dollar.)
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