Determine the amount of an immediate annuity of N$200 per annum left unpaid for 10 year at 7% p.a compounded interest.
FV=P[(1+r)t−1]rFV=\frac{P[(1+r)^t-1]}{r}FV=rP[(1+r)t−1]
Now, substituting the values,
⇒FV=200[(1+0.07)10−1]0.07\Rightarrow FV=\frac{200[(1+0.07)^10-1]}{0.07}⇒FV=0.07200[(1+0.07)10−1]
⇒FV=200(1.0710−1)0.07\Rightarrow FV= \frac{200(1.07^{10}-1)}{0.07}⇒FV=0.07200(1.0710−1)
⇒FV=2763.28\Rightarrow FV=2763.28⇒FV=2763.28
Hence the required amount will be $2763.28
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