Question

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

Answer 1

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.