Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

The effective rate that is equivalent to a nominal rate of 12% compounded semiannually is :

Options:

12.42%

13.51%

12.36%

10.04%

Correct Answer:

12.36%

Explanation:

The correct answer is Option (3) → 12.36%

To calculate the effective rate equivalent to a nominal rate 12% compounded is,

$EAR=\left(1+\frac{r}{n}\right)^n-1$

$=\left(1+\frac{0.12}{2}\right)^2-1$

$=(1.06)^2-1=0.1236$

$EAR=12.36\%$