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:

15.16%

16.64%

18,32%

20.24%

Correct Answer:

16.64%

Explanation:

Nominal rate $=16\%$ compounded semi-annually

Number of compounding periods per year $=2$

Rate per period

$=\frac{16}{2}=8\%$

Effective annual rate

$=(1+0.08)^2-1$

$=1.1664-1$

$=0.1664$

$=16.64\%$

The effective rate is $16.64\%$.