Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

The effective rate that is equivalent to a nominal rate of 16% compounded semi-annually is:

Options:

15.32%

16.64%

16.75%

18.24%

Correct Answer:

16.64%

Explanation:

The correct answer is Option (2) → 16.64%

$\text{Effective rate} = \left(1 + \frac{0.16}{2}\right)^2 - 1$

$= (1.08)^2 - 1 = 1.1664 - 1 = 0.1664$

$\text{Effective rate} = 16.64\%$