To calculate the total cost of repaying the loan, we need to add the principal amount with the total interest paid.
Principal amount = $3,500
Interest rate = 21%
Number of months = 24
First, we calculate the monthly interest rate by dividing the annual interest rate by 12:
Monthly interest rate = 21% / 12 = 0.175
Next, we calculate the fixed monthly payment using the formula for a fixed payment loan:
Fixed monthly payment = (Principal amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Number of months))
Fixed monthly payment = (3500 * 0.175) / (1 - (1 + 0.175) ^ -24)
Using an online calculator, the fixed monthly payment is approximately $174.
To calculate the total cost, we multiply the fixed monthly payment by the number of months:
Total cost = Fixed monthly payment * Number of months
Total cost = $174 * 24
Using an online calculator, the total cost of repaying the loan is approximately $4,176.
To calculate the total interest paid, we subtract the principal amount from the total cost:
Total interest paid = Total cost - Principal amount
Total interest paid = $4,176 - $3,500
Using an online calculator, the total amount of interest paid is approximately $676.
To the nearest dollar, the total cost of repaying the loan is $4,176. The fixed monthly payment amount is $174. The total amount of interest paid is $676.