A wife and mother was killed in a vehicle accident and her family has been been given 3 proposals and they need to accept one.  Proposal 1.) Pay the family of Allison Boone $300,000 a year for the next 20 years, and $500,000 a year for the remaining 20 years. Proposal 2.) Pay the family a lump sum payment of $5 million today. Propsoal 3.) Pay the family of Allison Boone a relatively small amount of $50,000 a year for the next 40 years but also guarantee them a final payment of $75 million at the end of 40 years.   Anwser the following questions! 1.) Assume a discount rate of 6 percent is used, which of the three projects has the highest present value?          In analyzing the first proposal, take the present value of the 20 year $300,000 annuity. Then take the present value of the deferred annuity of $500,000 that will run from the 21st through the 40th year. The answer you get for the second annuity will represent the value at the beginning of the 21st year (the same as the end of the 20th year). You will need to discount this lump sum value back 20 years as a single amount to get its present value. You then add together the present value of the first and second annuity.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A wife and mother was killed in a vehicle accident and her family has been been given 3 proposals and they need to accept one. 

Proposal 1.) Pay the family of Allison Boone $300,000 a year for the next 20 years, and $500,000 a year for the remaining 20 years.

Proposal 2.) Pay the family a lump sum payment of $5 million today.

Propsoal 3.) Pay the family of Allison Boone a relatively small amount of $50,000 a year for the next 40 years but also guarantee them a final payment of $75 million at the end of 40 years.

 

Anwser the following questions!

1.) Assume a discount rate of 6 percent is used, which of the three projects has the highest present value?

         In analyzing the first proposal, take the present value of the 20 year $300,000 annuity. Then take the present value of the deferred annuity of $500,000 that will run from the 21st through the 40th year. The answer you get for the second annuity will represent the value at the beginning of the 21st year (the same as the end of the 20th year). You will need to discount this lump sum value back 20 years as a single amount to get its present value. You then add together the present value of the first and second annuity.

2.) Now assume that a discount rate of 11 percent is used instead of 6 percent. Which of the three alternatives provides the highest prsent values?

3.) Explain why the change in outcome takes place between question 1 and question 2.

4.) If family lawyer thinks additional punitive damages are likely to be $4 million in a jury trial, should he be more likely to settle out-of-court or go before the jury?

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