Solutions to Questions and Problems
NOTE: All end of chapter problems were solved using a spreadsheet. …show more content…
This problem requires us to find the FVA. The equation to find the FVA is:
FVA = C{[(1 + r)t – 1] / r}
FVA = $300[{[1 + (.10/12) ]360 – 1} / (.10/12)] = $678,146.38
CHAPTER 6 B-20
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25. In the previous problem, the cash flows are monthly and the compounding period is monthly. This assumption still holds. Since the cash flows are annual, we need to use the EAR to calculate the future value of annual cash flows. It is important to remember that you have to make sure the compounding periods of the interest rate is the same as the timing of the cash flows. In this case, we have annual cash flows, so we need the EAR since it is the true annual interest rate you will earn. So, finding the EAR:
EAR = [1 + (APR / m)]m – 1
EAR = [1 + (.10/12)]12 – 1 = .1047 or 10.47%
Using the FVA equation, we get:
FVA = C{[(1 + r)t – 1] / r}
FVA = $3,600[(1.104730 – 1) / .1047] = $647,623.45
26. The cash flows are simply an annuity with four payments per year for four years, or 16 payments. We can use the PVA equation:
PVA = C({1 – [1/(1 + r)]t } / r)
PVA = $2,300{[1 – (1/1.0065)16] / .0065} =