A student graduating from college in six months needs a …

Business Questions

A student is graduating from college in six months but will need a loan in the amount of $2,560 for the last semester. the student receives an unsubsidized stafford loan with an interest rate of 6.8%, compounded monthly, with a six month grace period from the time of graduation. after the grace period the student makes fixed monthly payments of $84.34 for three years. determine the total amount of interest the student paid. $985.13 $3,036.24 $476.24 $378.81

Short Answer

The loan is a financial agreement where the borrower repays the principal amount plus interest, usually through monthly payments. For a loan with a monthly payment of $84.34 over 36 months, the total payments amount to $3,036.24, resulting in a total interest paid of $476.24 after deducting the principal of $2,560.

Step-by-Step Solution

Step 1: Understand the Loan Basics

A loan is a financial agreement where one party lends money to another, creating a debt that must be repaid. The borrower typically pays back the loan amount, known as the principal, along with additional charges known as interest. Key aspects to grasp include:

  • The sum borrowed is referred to as the principal.
  • Interest is the cost of borrowing, calculated based on the loan agreement.
  • Payments are often made monthly and may include both principal and interest components.

Step 2: Calculate Total Payments and Interest

To find out the total payments made over the loan duration, multiply the fixed monthly payment by the total number of months of repayment. In this case, if the monthly payment is $84.34 for 36 months, the calculation would be:

  • Total Payments = $84.34 x 36 months = $3,036.24
  • This includes basic interest payments alongside the principal amount.
  • The total interest paid can then be derived by subtracting the original loan amount from this total payment.

Step 3: Conclusion – Calculate Total Interest Paid

After calculating the total payments, the next step is to find out how much interest was paid over the life of the loan. For this loan, the calculations yield:

  • Interest Paid = Total Payments – Principal Amount
  • Interest Paid = $3,036.24 – $2,560 = $476.24
  • This means the total interest paid on the loan amounts to $476.24, confirming the financial burden faced by the borrower.

Related Concepts

Loan

Defining a financial agreement where one party lends money to another, creating a debt that must be repaid

Principal

The initial sum borrowed in a loan agreement that must be returned to the lender

Interest

The cost of borrowing money, typically expressed as a percentage of the principal, that is charged by the lender over the duration of the loan.

Scroll to Top