. FV of $400 paid each 6 months for 5 years at a nominal rate of 12%
compounded semiannually
FV=PMT(1+rn)t×n−1rnFV = PMT \frac{(1+ \frac{r}{n})^{t \times n}-1}{\frac{r}{n}}FV=PMTnr(1+nr)t×n−1
PMT=$400
r=12%
t=5
n = 2
FV=400×(1+0.122)5×2−10.122=400×1.7908477−10.06=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} \\ = 5272.32FV=400×20.12(1+20.12)5×2−1=400×0.061.7908477−1=5272.32
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