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Sebastian has just graduated after four years of university. He took out an unsubsidized Stafford loan worth $8,180 to help pay for his tuition. The loan has a duration of ten years. If the loan has an interest rate of 5. 3%, compounded monthly, how much interest capitalization has occurred by the time he graduated? Round all dollar values to the nearest cent. A. $721. 93 b. $842. 25 c. $1,926. 97 d. $1,734. 24.

Sagot :

The loan is defined as the liability and present on the liability side of balance sheet. At the time of graduated $1,926.97 interest capitalization has occurred.

What is Interest Capitalization?

Interest capitalization generally increased the overall cost of loan through adding the amount that is unpaid to the principal amount.

Given the following :

  • Loan amount (L) = 8,180
  • Interest rate (I) = 5.3%
  • Period (n) = 4 years

Using the formula:-

A = L(1 + I/t)^nt

Where, A = final amount

t = number of compounding periods per year

A = 8180( 1 + 0.053/12)^(4 * 12)

A = 8180 ( 1 + 0.0044166)^48

A = 8180 * ( 1.0044166)^48

A = 8180 * 1.2355709

A = 10106.970

Final amount after 4 years = 10,106.970

Hence, amount Paid as interest over that period will be :

=Final amount - Loan amount

=10,106.970 - 8,180

= $1,926.97

Learn more about interest capitalization, refer to the link:

https://brainly.com/question/1435593

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