Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

The effective rate that is equivalent to a nominal rate of 10% compounded semi-annually is :

Options:

10.5%

11.75%

10.25%

12.35%

Correct Answer:

10.25%

Explanation:

The correct answer is Option (3) → 10.25%

A nominal rate of 10% compounded semi-annually is,

$\frac{10\%}{2}=5\%=0.05$

Effective Annual Rate = $\left(1+\frac{0.10}{2}\right)^2-1$

$=(1.05)^2-1$

$=0.1025=10.25\%$