Asked by Maria Mendoza on May 20, 2024

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On the day you enter college, you work out a deal with your local bank such that you borrow $9,600 for four years. The terms of the loan include an interest rate of 5.9%. The terms also stipulate that the principle is due in full one year after you graduate. Interest is to be paid annually at the end of each year. Assume that you complete college in four years. How much will you pay the bank one year after you graduate?

A) $566.40
B) $2,265.60
C) $10,166.40
D) $11,865.60
E) $12,432.00

Principle

The original amount of money invested or loaned, before interest is added.

Interest Rate

The proportion of a loan that is charged as interest to the borrower, typically expressed as an annual percentage.

Graduate

A person who has successfully completed a course of study or training, especially one provided by a college or university.

  • Acquire knowledge on how to compute payments, balances, and the overall cost associated with loans.
  • Comprehend the principle of discount rates and their application in determining the time value of money.
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SB
suman bashuwaMay 25, 2024
Final Answer :
C
Explanation :
The total amount paid one year after graduation includes the original principal plus the interest accumulated over five years. The annual interest payment is calculated as $9,600 * 5.9% = $566.40. Over four years in college, this amounts to $566.40 * 4 = $2,265.60 in interest payments. After graduation, the principal of $9,600 is due, along with one more year of interest payment ($566.40), totaling $9,600 + $2,265.60 + $566.40 = $12,432.00. However, the question asks for the amount paid one year after graduation, which includes the principal and the final year's interest, not the total of all interest payments made. Therefore, the correct calculation should be the principal ($9,600) plus one year of interest ($566.40), which equals $10,166.40.