Answer:
To calculate the effective annual interest rate (EAR) from a nominal interest rate with quarterly compounding, you can use the following formula:
EAR = (1 + (r/n))^n - 1
Where:
r is the nominal interest rate (expressed as a decimal), which is 2% in this case (0.02).
n is the number of compounding periods per year, which is 4 (quarterly compounding).
Plugging in the values, we have:
EAR = (1 + (0.02/4)) - 1
= (1 + 0.005) ⁴- 1
= (1.005) 1
≈ 0.0202
Therefore, the effective annual interest rate for a savings account with a nominal interest rate of 2% and quarterly compounding is approximately 2.02%.