Final answer:
The monthly payment for a loan of $10,000 with an interest rate of 10% and a repayment period of 5 years is $212.47. For a customer who can pay $1,500 a year, the ideal period of repayment would be 15 years. At the end of the first year, the total repayment would be $2,549.64 and the total interest paid would be -$7,450.36.
Step-by-step explanation:
To determine the monthly payment on a loan, you can use the formula PMT (Interest Rate, Periods of Repayment, Amount of Loan today). In this case, the loan amount is $10,000, the interest rate is 10%, and the period of repayment is 5 years. Plugging these values into the formula, we get PMT(10%, 5, $10,000) = $212.47 as the monthly payment.
- To find the ideal period of repayment for a customer who can pay $1,500 a year, we can rearrange the formula to solve for periods. In this case, the customer is able to pay $1,500 annually, so we have $1,500 = PMT(10%, Periods, $10,000) and solving for Periods, we get Periods = 15 years. Therefore, the ideal period of repayment for this customer would be 15 years.
- The total repayment done by the customer at the end of that year can be calculated by multiplying the monthly payment by the number of periods, which is $212.47 x 12 = $2,549.64.
- The total interest paid can be obtained by subtracting the loan amount from the total repayment. In this case, it would be $2,549.64 - $10,000 = -$7,450.36.