In: Accounting
Leon Bowie is trying to determine the amount to set aside so
that he will have enough money on hand in 5 years to overhaul the
engine on his vintage used car. While there is some uncertainty
about the cost of engine overhauls in 5 years, by conducting some
research online, Leon has developed the following
estimates.
Engine Overhaul |
Probability |
||
$320 | 10% | ||
450 | 30% | ||
710 | 50% | ||
840 | 10% |
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How much should Leon Bowie deposit today in an account earning 8%,
compounded annually, so that he will have enough money on hand in 5
years to pay for the overhaul?
Answer
Estimated Cash Outflow |
Probability |
Cash Flow |
320.00 |
10% |
32.00 |
450.00 |
30% |
135.00 |
710.00 |
50% |
355.00 |
840.00 |
10% |
84.00 |
|
Total |
606.00 |
Future Value = $606
Cost of Capital (i) = 8%
Time (n) = 5 Years
Present Value = FV * {1 / (1 + i)^n}
= $606 * (1 / (1 + 0.08)^5}
= $606 * (1 / 1.4693280768)
= $606 * 0.680532
= $412.4
Leon needs to invest $412.4 today to get enough money in 5 years.
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