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Rachel purchased a $23,000 car three years ago using a 9 percent, 5-year loan. S

ID: 2654071 • Letter: R

Question

Rachel purchased a $23,000 car three years ago using a 9 percent, 5-year loan. She has decided that she would sell the car now, if she could get a price that would pay off the balance of her loan.

What is the minimum price Rachel would need to receive for her car?

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Rachel purchased a $23,000 car three years ago using a 9 percent, 5-year loan. She has decided that she would sell the car now, if she could get a price that would pay off the balance of her loan.

Explanation / Answer

Q1)

Rachel purchased a $23,000 car three years ago using a 9 percent, 5-year loan. She has decided that she would sell the car now, if she could get a price that would pay off the balance of her loan.

What is the minimum price Rachel would need to receive for her car?

Monthly Payment = pmt(rate,nper,pv,fv)

rate = 9%/12 = 0.75%

nper = 5*12 = 60

pv = 23000

fv =0

Monthly Payment = pmt(0.75%,60,23000,0)

Monthly Payment = $ 477.4422

Loan outstanding presently i.e after 3 year = pv(rate,nper,pmt,fv)

rate = 9%/12 = 0.75%

nper = (5-3)*12 = 24

pmt = 477.4422

fv =0

Loan outstanding presently i.e after 3 year= pv(0.75%,24,477.4422,0)

Loan outstanding presently i.e after 3 year = $ 10450.80

Answer

Minimum price Rachel would need to receive for her car =  $ 10450.80