Knowee
Questions
Features
Study Tools

When Miguel had 4 years left in college, he took out a student loan for $14,215. The loan has an annual interest rate of 5.4%. Miguel graduated 4 years after acquiring the loan and began repaying the loan immediately upon graduation.According to the terms of the loan, Miguel will make monthly payments for 3 years after graduation. During the 4 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 financial formulas.(a)If Miguel's loan is subsidized, find his monthly payment.Subsidized loan monthly payment: $(b)If Miguel's loan is unsubsidized, find his monthly payment.Unsubsidized loan monthly payment: $

Question

When Miguel had 4 years left in college, he took out a student loan for 14,215.Theloanhasanannualinterestrateof5.414,215. The loan has an annual interest rate of 5.4%. Miguel graduated 4 years after acquiring the loan and began repaying the loan immediately upon graduation.According to the terms of the loan, Miguel will make monthly payments for 3 years after graduation. During the 4 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 financial formulas.(a)If Miguel's loan is subsidized, find his monthly payment.Subsidized loan monthly payment: (b)If Miguel's loan is unsubsidized, find his monthly payment.Unsubsidized loan monthly payment: $

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

(a) If Miguel's loan is subsidized, the government would pay the interest while he is in school. Therefore, the principal amount of the loan remains $14,215. The loan is to be repaid in 3 years or 36 months. The annual interest rate is 5.4% or 0.054, so the monthly interest rate is 0.054/12 = 0.0045.

The formula for the monthly payment on a loan is:

P = [r*PV] / [1 - (1 + r)^-n]

where: P = monthly payment r = monthly interest rate PV = present value or principal amount n = total number of payments

Substituting the given values into the formula, we get:

P = [0.0045*14215] / [1 - (1 + 0.0045)^-36] = $428.30

So, if Miguel's loan is subsidized, his monthly payment would be $428.30.

(b) If Miguel's loan is unsubsidized, the loan would accrue interest while he is in school. The loan accrues simple interest for 4 years at an annual rate of 5.4%.

The formula for simple interest is:

I = Prt

where: I = interest P = principal amount r = annual interest rate t = time in years

Substituting the given values into the formula, we get:

I = 142150.0544 = $3070.42

So, the new principal amount after 4 years would be 14215 + 3070.42 = $17285.42.

Substituting the new principal amount into the loan payment formula, we get:

P = [0.0045*17285.42] / [1 - (1 + 0.0045)^-36] = $520.30

So, if Miguel's loan is unsubsidized, his monthly payment would be $520.30.

This problem has been solved

Similar Questions

. Now that you are almost finished with school, you also have to start paying back your student loans. You borrowed a total of N$12,500. You plan to pay back the loan over 10 years at an interest rate of 9.4% interest, compounded monthly. How much will your monthly payments be?

Nyasha used the Quantitative Reasoning Process to create a plan to pay off his student loans of $5,480. The interest rate on his loan is 1.9% annually and he plans to make monthly payments of $95.81 for 5 years. Complete months 1 and 2 of the amortization table below. Month Beginning Balance Payment: To Interest Payment: To Principal Ending Balance1        2   ??    3        How much of Nyasha's payment goes to Interest in Month 2?(Round your FINAL answer to the nearest cent. Do not include the dollar sign.)

A company borrows money as needed on the first day of the month and repays principal and interest on the last day of the budget period, if cash is available.  For the third quarter of the year, they borrowed $5,000 in July, $7,000 in August and $4,000 in June.  The interest rate is 1% per month.  Assuming enough money is available on June 30th to repay the debt, the total amount of interest due is $

To help open up a wine bar, Joe borrowed money from a bank.He took out a personal, amortized loan for $40,000, at an interest rate of 6.4%, with monthly payments for a term of 8 years.For each part, do not round any intermediate computations and round your final answers to the nearest cent.If necessary, refer to the list of financial formulas.(a) Find Joe's monthly payment.$(b) If Joe pays the monthly payment each month for the full term, find his total amount to repay the loan.$(c) If Joe pays the monthly payment each month for the full term, find the total amount of interest he will pay.

Deandre borrowed money from an online lending company to buy a camper.He took out a personal, amortized loan for $18,000, at an interest rate of 5.2%, with monthly payments for a term of 4 years.For each part, do not round any intermediate computations and round your final answers to the nearest cent.If necessary, refer to the list of financial formulas.(a) Find Deandre's monthly payment.$(b) If Deandre pays the monthly payment each month for the full term, find his total amount to repay the loan.$(c) If Deandre pays the monthly payment each month for the full term, find the total amount of interest he will pay.$

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.