Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

The effective rate that is equivalent to a nominal rate of 6% compounded semi-annually is :

Options:

4.44%

6.91%

6.09%

5.61%

Correct Answer:

6.09%

Explanation:

The correct answer is Option (3) → 6.09%

Effective rate = $\left(1+\frac{r}{m}\right)^m-1$

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

$=1.0609-1=0.0609$

$=6.09\%$