In: Finance
The stated interest rate (or APR) that a bank charges on its home loans is 9.00% and the effective annual interest rate has been computed as 9.38%. Based on this information, interest is most likely being compounded on a:
APR = 9%
EAR = 9.38%
Therefore, the relationship between APR and EAR is as follows
1+ EAR = [1 + (APR)/n]^n
1+9.38% = [1+ (9%/n]^n
On trial and error basis, if n is considered 12 that is monthly compounding then the equation will be balanced
1.0938 = [1+ (9%/12)]^12
1.0938 = 1.0938
Therefore, The stated interest rate (or APR) that a bank charges on its home loans is 9.00% and the effective annual interest rate has been computed as 9.38%. Based on this information, interest is most likely being compounded on a Monthly basis