Answer to Question #206230 in Financial Math for robi

Question #206230

. FV of $400 paid each 6 months for 5 years at a nominal rate of 12%

    compounded semiannually


1
Expert's answer
2021-06-15T13:45:50-0400

FV=PMT(1+rn)t×n1rnFV = PMT \frac{(1+ \frac{r}{n})^{t \times n}-1}{\frac{r}{n}}

PMT=$400

r=12%

t=5

n = 2

FV=400×(1+0.122)5×210.122=400×1.790847710.06=5272.32FV = 400 \times \frac{(1+ \frac{0.12}{2})^{5 \times 2}-1}{\frac{0.12}{2}} \\ = 400 \times \frac{1.7908477 -1}{0.06} \\ = 5272.32


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