If A is the amount of obligation, r is the rate of interest per payment period and $i=\frac{r}{100},$ then the amount of each payment can be calculated using which of the following formulae, where n is the number of payment s? |
$R=\left[\frac{(1+i)^n-1}{i}\right]×A$ $R=\left[\frac{A×i}{(1+i)^n+1}\right]×A$ $R=\left[\frac{A×i}{(1+i)^{-n}}\right]$ $R=\left[\frac{(1+i)^n+1}{i}\right]×A$ |
$R=\left[\frac{A×i}{(1+i)^{-n}}\right]$ |
The correct answer is Option (3) → $R=\left[\frac{A×i}{(1+i)^{-n}}\right]$ Using the loan Amortization, $R=\frac{A.i}{1-(1+i)^{-n}}$ where, $A$ = Total obligation $r$ = Rate of interest per payment period $n$ = Number of Payments |