On September 1, 2013, Susan Chao bought a motorcycle for $27,000. She paid $1,10

Question

On September 1, 2013, Susan Chao bought a motorcycle for $27,000. She paid $1,100 down and financed the balance with a five-year loan at an APR of 6.9 percent, compounded monthly. She started the monthly payments exactly one month after the purchase (i.e., October 1, 2013). Two years later, at the end of October 2015, Susan got a new job and decided to pay off the loan.

If the bank charges her a 2 percent prepayment penalty based on the loan balance, how much must she pay the bank on November 1, 2015? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

On September 1, 2013, Susan Chao bought a motorcycle for $27,000. She paid $1,100 down and financed the balance with a five-year loan at an APR of 6.9 percent, compounded monthly. She started the monthly payments exactly one month after the purchase (i.e., October 1, 2013). Two years later, at the end of October 2015, Susan got a new job and decided to pay off the loan.

Explanation / Answer

Monthly payments=PMT(6.9%/12,12*5,27000-1100)=511.63
Loan outstanding after 2 years=FV(6.9%/12,12*2,-511.63,27000-1100)=16594.45
Including the penalty amount to be repaid=16594.45*1.02=16926.34

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