Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

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?

Options:

$R=\left[\frac{(1+i)^n-1}{i}\right]×A$

$R=\left[\frac{A×i}{(1+i)^n+1}\right]×A$

$R=\left[\frac{A×i}{(1+i)^{-n}}\right]$

$R=\left[\frac{(1+i)^n+1}{i}\right]×A$

Correct Answer:

$R=\left[\frac{A×i}{(1+i)^{-n}}\right]$

Explanation:

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