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 quaterly is :

Options:

10.55%

12.55%

12.25%

11.55%

Correct Answer:

12.55%

Explanation:

The correct answer is Option (2) → 12.55%

To calculate the effective annual rate (EAR),

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

$=\left(1+\frac{0.12}{4}\right)^4-1$

$=(1.03)^4-1$

$=0.1255$

$=12.55\%$