# Present values Alex Kelton recently won the jackpot in the Colorado lottery while he was visiting his parents. When he arrived at the lottery office to collect his winnings, he was offered the following three payout options: a. Receive $100,000,000 in cash today. b. Receive$25,000,000 today and $9,000,000 per year for eight years, with the first payment being received one year from today. c. Receive$15,000,000 per year for 10 years, with the first payment being received one year from today. Assuming that the effective rate of interest is 7%, which payout option should Alex select? Use the present value tables in Appendix A. Explain your answer and provide any necessary supporting calculations.

### Accounting

27th Edition
WARREN + 5 others
Publisher: Cengage Learning,
ISBN: 9781337272094

### Accounting

27th Edition
WARREN + 5 others
Publisher: Cengage Learning,
ISBN: 9781337272094

#### Solutions

Chapter
Section
Chapter 14, Problem 14.4CP
Textbook Problem

## Present valuesAlex Kelton recently won the jackpot in the Colorado lottery while he was visiting his parents. When he arrived at the lottery office to collect his winnings, he was offered the following three payout options:a. Receive $100,000,000 in cash today.b. Receive$25,000,000 today and $9,000,000 per year for eight years, with the first payment being received one year from today.c. Receive$15,000,000 per year for 10 years, with the first payment being received one year from today.Assuming that the effective rate of interest is 7%, which payout option should Alex select? Use the present value tables in Appendix A. Explain your answer and provide any necessary supporting calculations.

Expert Solution
To determine

Present Value: The value of today’s amount expected to be paid or received in the future at a compound interest rate is called as present value.

To determine: the payout option that Mr. A would select.

### Explanation of Solution

Payout Option 1: Receive $100,000,000 in cash today. The present value of$100,000,000 today is $100,000,000. Payout Option 2: Receive$25,000,000 today and $9,000,000 per year for eight years. Calculate the total value of the payout. Present value of$25,000,000 today = $25,000,000 Present value of$9,000,000 =$53,741,700 (1) Totalvalue=(Presentvalueof$25,000,000)+(Presentvalueof$9,000,000)=$25,000,000+$53,741,700=$78,741,700

Working notes:

Calculate the present value of \$9,000,000

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