What is the monthly rate of interest that will yield an annual effective rate of 12 percent?

Answer 1

To find the monthly rate of interest that yields an annual effective rate of 12 percent, you can use the formula for the effective annual rate: ( (1 + r)^n - 1 ), where ( r ) is the monthly interest rate and ( n ) is the number of compounding periods in a year (12 for monthly).

Setting up the equation: ( (1 + r)^{12} = 1.12 ). Solving for ( r ) gives ( r = (1.12)^{1/12} - 1 ), which is approximately 0.009488 or 0.9488%. Therefore, the monthly interest rate is about 0.9488%.