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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
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Phoniex University
Oct-2001 - Nov-2016
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EXERCISE 13A–2 Basic Present Value Concepts [LO7]
Consider each of the following situations independently.
1.             Â
Annual cash inflows from two competing investment opportunities are given below. Each investment opportunity will require the same initial investment. Compute the present value of the cash inflows for each investment using a 20% discount rate:
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|
Year |
X |
 |
Y |
|
1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
$ 1,000 |
 |
$ 4,000 |
|
2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
2,000 |
 |
3,000 |
|
3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
3,000 |
 |
2,000 |
|
4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Â . |
   4,000 |
 |
   1,000 |
|
 |
$10,000 |
 |
$10,000 |
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2.              At the end of three years, when you graduate from college, your parents have promised to give you a used car that will cost $12,000. What lump sum must they invest now to have the $12,000 at the end of three years if they can invest money at
a.   6%?
b.   10%?
3.              Mark has just won the grand prize on the Hoot ’n’ Holler quiz show. He has a choice between (a) receiving $500,000 immediately and (b) receiving $60,000 per year at the end of the year for eight years, plus a lump sum of $200,000 at the end of the eight-year period. If Mark can get a return of 10% on his investments, which option would you rec- ommend that he accept? Use present value analysis, and show all computations.
4.              You have just learned that you are a beneficiary in the will of your late Aunt Susan. The execu- tor of her estate has given you three options as to how you may receive your inheritance:
a.      You may receive $50,000 immediately.
b.      You may receive $75,000 at the end of six years.
c.      You may receive $12,000 at the end of each year for six years (a total of $72,000). If you can invest money at a 12% return, which option would you prefer?
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