Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

Find the effective rate of return equivalent to declared rate of 12% compounded monthly.

[Use $(1.06)^2=1.1236, (1.03)^4=1.1255$ and $(1.01)^2= 1.1268, e^{0.12}= 1.1275$]

Options:

10.65%

14.65%

12.68%

13.68

Correct Answer:

12.68%

Explanation:

The correct answer is option (3) : 12.68%

Given r = 12% p.a

P = 12 months

So, effective rate (per rupee) $=\left(1+\frac{12}{1200}\right)^4-1$

$= (1.01)^{12}-1$

$= 1.1268-1$

Hence, effective rate $= 0.1268 ×100$%

= 12.68%