In: Finance
5. You intend to buy a vacation home in eight years and plan to have saved $75,000 for a down payment. How much money would you have to place today into an invest that earns 9% per year to have enough for your desired down payment?
A) $37,640
B) $37,218
C) $35,335
D) $34,989
| Annual rate of interest is 9% ; interest compounded Annually | ||||
| Years | FVF of $ 1 @ 9% | |||
| 0 | 1.0000 | |||
| 1 | 0.9174 | |||
| 2 | 0.8417 | |||
| 3 | 0.7722 | |||
| 4 | 0.7084 | |||
| 5 | 0.6499 | |||
| 6 | 0.5963 | |||
| 7 | 0.5470 | |||
| 8 | 0.5019 | |||
| Present Value | PVF @ 9% in Eighth Year | Future Value | ||
| Present Value = | $ 75,000.00 | $ 0.5019 | $ 37,640 | |
| Answer = Money desired for down Payment = OptionA =$ 37,640 | ||||