Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

Find the declared rate of return compounded semiannually which is equivalent to 6% effective rate of return. [Use $(1.06)^{1/2}= 1.296$]

Options:

3.92%

6.92%

5.92%

4.92%

Correct Answer:

5.92%

Explanation:

The correct answer is option (3) : 5.92%

Let declared rate of interest be r% p.a compounded half yearly

Given effective rate of return (per rupee) = $\frac{6}{100}=0.06$ (per-rupee)

P = 2 half years

$∴0.06=\left(1+\frac{r}{200}\right)^2-1$

On solving

r= 5.92

Hence, the declared rate of return = 5.92%