you have saved $3,000 for a down payment on a new car. the largest monthly payment you can afford is $450. the loan will have a 12% apr based on end-of-month payments. what is the most expensive car you can afford if you finance it for 48 months? for 60 months? do not round intermediate calculations. round your answers to the nearest cent.

Respuesta :

The most expensive car could afford, if the finance it for 48 months and 60 moths is of $20,088.28 and $23,229.77. Part of the principal balance and interest are paid with each payment that the borrower makes.

Loan = Payment × [tex]\frac{(1-(1+0.01)^-^4^8}{y}[/tex]

Down payment = 3000

Monthly Payment = 450

Adjust r for monthly compounding (r) = [tex]\frac{0.12}{12}[/tex]

The most expensive car could afford, if the finance it for 48 months

Loan = 450 × [tex]\frac{(1-(1+0.01)^-^4^8}{y}[/tex]

Loan = 17,088.28

Car price = Down payment + Loan

Car price = 3000 + 17,088.28

Car price = 20,088.28

The most expensive car could afford, if the finance it for 60 months

Loan = 450 × [tex]\frac{(1-(1+0.01)^-^6^0}{y}[/tex]

Loan = 20,229.77

Car price = Down payment + Loan

Car price = 3000 + 20,229.77

Car price = 23,229.77

  • One of the financial tools that investors employ is a loan. At an agreed-upon interest rate, the borrowed money is repaid in installments. Part of the principal balance and interest are paid with each payment that the borrower makes.

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