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TVM-1 - Serenity Witten AGEC 424 TVM-1(5th edition 11 How a...

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Serenity Witten AGEC 424 TVM-1 (5 th edition) 11. How much will $650 per year be worth in eight years at interest rates of a. 12%? b. 8%? c.6%? N I PV PMT FV=? 8 12% 0 650 $7994.80 8 8% 0 650 $6913.81 8 6% 0 650 $6433.35 16. Construct an amortization schedule for a four-year, $10,000 loan at 6% interest compounded annually. N=4 I=6 PMT = $2,885.92 PV=10000 Year Beg Bal PMT INT Prin Red End Bal 1 $10,000.00 $2,885.92 $600.00 $2,285.92 $7,714.08 2 7,714.08 2,885.92 462.84 2,423.08 5,291.00 3 5,291.00 2,885.92 317.46 2,568.46 2,722.54 4 2,722.54 2,885.92 163.35 2,722.54 0.00 25. Adam Wilson just purchased home and took out a $250,000 mortgage for 30 years at 8%, compounded monthly. a. How much is Adam’s monthly mortgage payment? n= 360 I=8/12 PV= $250,000 FV=0 ?PMT= $1,834.41 b. How much sooner would Adam pay off his mortgage if he made an additional $100 payment each month? Add $100 to Payment I= 8/12 PV= $250,000 PMT= $1931.41 FV=0 ?n= 297.62 ~ 298
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c. Assume Adam makes his normal mortgage payments at the end of the five years, he refinances the balance of his loan at 6%. If he continues to make the same mortgage payments, how soon after the first five years will he pay off his mortgage? n= 5x12= 60 I=8/12 PV=$250,000 PMT= $1834.41 ?FV= $237,674.64 ?n= 209.25 ~ 209 I=6/12= .5 PV=$237,674.64 PMT= $1834.41 FV= 0 ?N=209.25 The mortgage would be paid off 91 days earlier.
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