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bazaltina [42]
3 years ago
13

​E-Loan, an online lending​ service, recently offered 48​-month auto loans at 4.5 % compounded monthly to applicants with good c

redit ratings. If you have a good credit rating and can afford monthly payments of $ 448​, how much can you borrow from​ E-Loan? What is the total interest you will pay for this​ loan?
Business
1 answer:
ser-zykov [4K]3 years ago
6 0

Answer:

Therefore I can borrow $19646.12 from E-Loan.

The interest I will pay for the loan is $1,857.88.

Explanation:

The formula of present value is

PV=PMT(\frac{1-(1+i)^{-n}}{i})

PMT = The monthly payment = $448

i= Rate of interest per period =\frac{4.5}{12}\%=0.00375

n = The number of month = 48 months

Therefore

PV=448(\frac{1-(1+0.00375)^{-48}}{0.00375})

      ≈$19646.12

Therefore I can borrow $19646.12 from E-Loan.

The interest = Paid amount - Loan amount

                    =$[(448×48)-19646.12]

                   =$1,857.88

The interest I will pay for the loan is $1,857.88.

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