In: Finance
Deshauan has an investment worth $185000. The invesment will make a special payment of x to him in three years from today. The investment also will make regular, fixed annual payments of #34000 to him with the first of these payments made to him later today and the last of these annual payments made to him in five years from today. The expected retrun for thi investment is 9.30 percent per year. What is x the amount of the special payment that will be made to him in three yrs?
An amount equal to or greater than ______ but less than __________.
Investment = PV of CFs from it.
Year | CF | PVF @9.3% | Disc CF |
0 | $ 34,000.00 | 1.0000 | $ 34,000.00 |
1 | $ 34,000.00 | 0.9149 | $ 31,107.04 |
2 | $ 34,000.00 | 0.8371 | $ 28,460.24 |
3 | 34000+X | 0.7658 | 26037.2 + 0.7658X |
4 | $ 34,000.00 | 0.7007 | $ 23,823.10 |
5 | $ 34,000.00 | 0.6411 | $ 21,796.07 |
Investment Today | 165223.65+0.7658X |
Thus 165223.65 + 0.7658X = 185000
0.7658X = 185000 - 165223.65
= 19776.35
X = 19776.35 / 0.7658
= 25824.43
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