Final answer:
The effective annual rate (EAR) for a loan with a 10 percent APR and monthly payments is approximately 10.47 percent. Therefore correct option is A
Step-by-step explanation:
The question asks for the calculation of the effective annual rate (EAR) of a loan with a 10 percent annual percentage rate (APR) and monthly payments. The EAR can be calculated from the APR using the formula:
EAR = (1 + i/n)^n - 1, where i is the APR and n is the number of compounding periods per year.
In this case, i=0.10 (or 10%) and n=12 (since the loan compounds monthly).
Thus, EAR = (1 + 0.10/12)^12 - 1. By calculating this, we find that EAR is approximately 0.1047 or 10.47%.
Therefore, the correct answer from the provided choices is:
a. 10.47 percent