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1. A $12,000 loan is being repaid with $1000 payments at the end of each year for as long as necessary, plus a smaller paymen
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Answer #1
FV of the installments immediately after the 9th payment = 1000*(1.06^9-1)/0.06 = $   11,491.32
FV of the loan amount (assuming that the loan is treated
separately) = 12000*1.06^9 = $   20,273.75
Amount outstanding in the loan account immediately after the 9th annual payment = 20273.75-11491.32 = $      8,782.43
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