Answer:
The effective annual interest rate on this lending arrangement is 10,944.36%.
Explanation:
The effective annual rate (EAR) can be calculated using the following formula:
EAR = ((1 + i)^n) - 1 .............................(1)
Where;
i = Monthly interest rate of the bank = 48%, or 0.48
n = Number of compounding periods in a year = 12
Substituting the values into equation (1), we have:
EAR = ((1 + 0.48)^12) - 1
EAR = 1.48^12 - 1
EAR = 110.443607719612 - 1
EAR = 109.443607719612, or 10,944.3607719612%
Rounding to 2 decimal places, we have:
EAR = 10,944.36%
Therefore, the effective annual interest rate on this lending arrangement is 10,944.36%.