When Brian had 2 years left in college, he took out a student loan for $14.505. The loan has an annual interest rate of 7.8%. Brian graduated 2 years after acquiring the loan and began repaying the loan immediately upon graduation According to the terms of the loan, Brian will make monthly payments for 10 years after graduation. During the 2 years he was in school and not making payments, the loan accrued simple interest. Answer each part. Do not round intermediate computations, and round your answers to the nearest cent. If necessary, refer to the list of financat formulas: 5 ? (a) If Brian's loan is subsidized, find his monthly payment. Subsidized loan monthly payment: s[ (b) If Brian's loan is unsubsidized, find his monthly payment. Unsubsidized loan monthly payment:

Answers

Answer 1
Answer:

Final answer:

For a subsidized  Loan Payment Calculation, Brian's monthly payment will be approximately $170.94 and for an unsubsidized loan, the monthly payment will increase to $192.90Correct options:

(a) Subsidized loan monthly payment: $190.76

(b) Unsubsidized loan monthly payment: $215.77

Explanation:

The subject of this question is a mathematical calculation of loan payments, under subsidized and unsubsidized conditions. Brian took a loan of $14,505 in college with an annual interest rate of 7.8%.

Subsidized loan calculation: As the loan is subsidized, the interest does not accrue during Brian's time in college. Hence, the total loan amount remains $14,505. Using standard formulae, we find that the monthly payment with an interest rate of 7.8% over 10 years amounts to approximately $170.94.

Unsubsidized loan calculation: In this case, interest does accrue during Brian's time in school. Hence, the total amount due at the time of graduation will be $14,505 + ($14,505 * 0.078) * 2 = $16,467.78. Using the same formula as above, we find the monthly payment over 10 years is approximately $192.90.Correct options:

(a) Subsidized loan monthly payment: $190.76

(b) Unsubsidized loan monthly payment: $215.77

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Answer 2
Answer:

Answer:

(a) If Brian's loan is subsidized, the interest on the loan does not accrue while he is in school. Therefore, the loan amount of $14,505 remains the same throughout the 2 years he is in school.

To find Brian's monthly payment after graduation, we need to calculate the monthly payment for a loan of $14,505 at an annual interest rate of 7.8% for a term of 10 years (120 months).

To calculate the monthly payment, we can use the formula for the monthly payment on a loan:

Monthly payment = (Loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Number of months))

First, let's calculate the monthly interest rate. The annual interest rate of 7.8% needs to be converted to a decimal and divided by 12 to get the monthly interest rate:

Monthly interest rate = 7.8% / 12 = 0.065

Next, let's substitute the values into the formula:

Monthly payment = (14,505 * 0.065) / (1 - (1 + 0.065)^(-120))

Calculating this expression will give us the subsidized loan monthly payment.

(b) If Brian's loan is unsubsidized, the loan will accrue simple interest during the 2 years he is in school. To find the monthly payment for an unsubsidized loan, we need to calculate the interest that accrued during those 2 years and add it to the loan amount before using the formula for the monthly payment.

To calculate the interest that accrued during the 2 years, we can use the formula:

Interest = Loan amount * Annual interest rate * Time

Substituting the values, we get:

Interest = 14,505 * 0.078 * 2

Calculating this expression will give us the interest accrued.

To find the total loan amount after the 2 years, we add the interest accrued to the original loan amount:

Total loan amount = 14,505 + interest accrued

Then, we can use the formula for the monthly payment as explained in part (a) to calculate the unsubsidized loan monthly payment:

Monthly payment = (Total loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Number of months))

Calculating this expression will give us the unsubsidized loan monthly payment.

Explanation:

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Answers

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Answer:

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Answers

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Explanation;
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Answers

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