Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

A loan of ₹200000 at the interest rate of 6% p.a. compounded monthly is to be amortized by equal payments at the end of each month for 5 years. The monthly payment is :

[Given $(1.005)^{-60}=0.74137220$]

Options:

₹1,866.57

₹4,886.57

₹3,866.57

₹2,866.57

Correct Answer:

₹3,866.57

Explanation:

The correct answer is Option (3) → ₹3,866.57

Monthly payment, $M=\frac{P×r×(1+r)^n}{(1+r)^n-1}$

P = Principle loan amount

r = Monthly interest rate

$∴M=\frac{200000×0.005×(1+0.005)^{60}}{(1+0.005)^{60}-1}$

$=\frac{200000×0.005×1.34885}{1.34885-1}$

$≃3866.57$