您的AI财务准则专家
Calculate Equivalent Monthly Nominal Interest Rate for Home Buying Savings Plan
Jenny would like to buy a home in 12 months time. She currently has $22,000 saved in the bank earning an effective annual interest rate of 4.2%. What would be the equivalent annual interest rate nominal monthly? 请运用公式列出具体步骤

The equivalent nominal monthly interest rate can be calculated by dividing the annual interest rate by the number of months in a year (12). The formula to convert an annual effective interest rate into a monthly nominal rate is as follows:

Nominal monthly interest rate = (1 + Nominal Annual Rate)^(1/12) - 1

Given that the effective annual interest rate is 4.2%, we first need to convert it to a nominal annual rate because the effective annual rate is already given. The conversion from effective to nominal annual rate is done by adding the expected inflation rate to the effective annual rate.

Nominal Annual Rate = Effective Annual Rate + Expected Inflation Rate

However, since no expected inflation rate is provided, we'll assume the nominal and effective annual rates are the same for this calculation.

Nominal Annual Rate = 4.2%

Now, to find the equivalent monthly nominal rate:

Nominal Monthly Rate = (1 + Nominal Annual Rate)^(1/12) - 1 Nominal Monthly Rate = (1 + 0.042)^(1/12) - 1

This will give us the monthly nominal interest rate.