Question

What is the effective annual interest rate of an investment that pays 14.75% per year with a compound frequency n= 2? (Answer percentage rounded to second decimal place).

Answer 1

15.29%

Step-by-step explanation:

r = Interest rate = 14.75%

m = Number of times compounding in a year = 2

Effective Annual Rate = (1 + r/m)^m - 1

Effective Annual Rate = (1 + 0.1475/2)^2 - 1

Effective Annual Rate = 1.07375^2 - 1

Effective Annual Rate = 1.1529390625 - 1

Effective Annual Rate = 0.1529391

Effective Annual Rate = 15.29%

So, the effective annual interest rate of the investment is 15.29%