You have recently won the super jackpot in the Washington State Lottery. On reading the fine print, you discover that you have the following two options: a. You will receive 31 annual payments of $250,000, with the first payment being delivered today. The income will be taxed at a rate of 28 percent. Taxes will be withheld when the checks are issued. b. You will receive $530,000 now, and you will not have to pay taxes on this amount. In addition, beginning one year from today, you will receive $200,000 each year for 30 years. The cash flows from this annuity will be taxed at 28 percent. Using a discount rate of 7 percent, which option should you select?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 70P
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You have recently won the super jackpot in the Washington
State Lottery. On reading the fine print, you discover that you have the following two
options:
a. You will receive 31 annual payments of $250,000, with the first payment being
delivered today. The income will be taxed at a rate of 28 percent. Taxes will be
withheld when the checks are issued.
b. You will receive $530,000 now, and you will not have to pay taxes on this amount.
In addition, beginning one year from today, you will receive $200,000 each year
for 30 years. The cash flows from this annuity will be taxed at 28 percent.
Using a discount rate of 7 percent, which option should you select?

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