In early 2019, the Powerball lottery was advertised as having a payoff of $750,000,000. The winner was given the choice of receiving $465,500,000 at once or equal annual payments over the next 30 years that would total $750,000,000. Assume that the winner receives each of the equal annual payments as a lump-sum payment at the end of each year. Source: Zack Friedman, "Do This Next if You Win the $750 Million Powerball Jackpot," forbes.com, March 25, 2019. (This question is difficult and requires the use of a financial calculator or a spreadsheet. Hint: If you are familiar with the Excel spreadsheet program, questions b and c can be answered by using the Excel PV (Present Value) function and question d can be answered using the RATE function.) a. Is the lottery being accurate in stating that the winner will receive $750,000,000? Briefly explain.
In early 2019, the Powerball lottery was advertised as having a payoff of $750,000,000. The winner was given the choice of receiving $465,500,000 at once or equal annual payments over the next 30 years that would total $750,000,000. Assume that the winner receives each of the equal annual payments as a lump-sum payment at the end of each year. Source: Zack Friedman, "Do This Next if You Win the $750 Million Powerball Jackpot," forbes.com, March 25, 2019. (This question is difficult and requires the use of a financial calculator or a spreadsheet. Hint: If you are familiar with the Excel spreadsheet program, questions b and c can be answered by using the Excel PV (Present Value) function and question d can be answered using the RATE function.) a. Is the lottery being accurate in stating that the winner will receive $750,000,000? Briefly explain.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:In early 2019, the Powerball lottery was advertised as having a payoff of $750,000,000. The winner was given the
choice of receiving $465,500,000 at once or equal annual payments over the next 30 years that would total
$750,000,000. Assume that the winner receives each of the equal annual payments as a lump-sum payment at the
end of each year.
Source: Zack Friedman, "Do This Next if You Win the $750 Million Powerball Jackpot," forbes.com, March 25, 2019.
(This question is difficult and requires the use of a financial calculator or a spreadsheet. Hint: If you are familiar with
the Excel spreadsheet program, questions b and c can be answered by using the Excel PV (Present Value) function
and question d can be answered using the RATE function.)
a. Is the lottery being accurate in stating that the winner will receive $750,000,000? Briefly explain.
O A. Yes, because $750 million is the total amount that will be paid out.
O B. Yes, the timing of the payments allows the $750 million to be considered a present value.
OC. No, because $750 million is the sum of payments over the years, not the present value of the payments.
O D. No, because the payments are made at the end instead of the beginning of each year.
b. At an interest rate of 10 percent, what would be the present value of the 30 payments?
The present value is $. (Enter your response rounded to the nearest penny.)
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