5.17 Consider the following investment projects: Project\'s Cash Flow 0 $1,800-$5,200 $3,800- $4,000-$6,500 1,000 3,600 2,400 -500 900 1,300 2,200 -700 2,500 -4,000 5,000 6,000 3,000 500 2,000 3,000 4,000 1,250 4,000 7,000 12,000 4 (a) Compute the future worth at the end of life for each project at 1-12%. (b) Determine the acceptability of each project Solution Answer: a) The formula being used = Compounding factor * cash flow n = 0, Compounding factor = (1+0.12)^5 = 1.76 n = 1, Compounding factor = (1+0.12)^4 = 1.57 n = 2, Compounding factor = (1+0.12)^3 = 1.40 n=3, Compounding factor = (1+0.12)^2 = 1.25 n=4, Compounding factor = (1+0.12)^1 = 1.12 n=0, Compounding factor = (1+0.12)^0 = 1 So, multiplying compounding factor with cash flows we get future worth as below: n Compounding Factor A FW B FW C FW D FW E FW 0 1.76 -1800.00 -3172.22 -5200.00 -9164.18 -3800.00 -6696.90 -4000.00 -7049.37 -6500.00 -11455.22 1 1.57 -500.00 -786.76 2500.00 3933.80 0.00 0.00 500.00 786.76 1000.00 1573.52 2 1.40 900.00 1264.44 -4000.00 -5619.71 0.00 0.00 2000.00 2809.86 3600.00 5057.74 3 1.25 1300.00 1630.72 5000.00 6272.00 4000.00 5017.60 3000.00 3763.20 2400.00 3010.56 4 1.12 2200.00 2464.00 6000.00 6720.00 7000.00 7840.00 4000.00 4480.00 5 1.00 -700.00 -700.00 3000.00 3000.00 12000.00 12000.00 1250.00 1250.00 700.18 5141.91 18160.70 6040.45 -1813.40 b) Looking at the future worth of each alternative, all of the alternative can be accepted except E as future worth is negative n Compounding Factor A FW B FW C FW D FW E FW 0 1.76 -1800.00 -3172.22 -5200.00 -9164.18 -3800.00 -6696.90 -4000.00 -7049.37 -6500.00 -11455.22 1 1.57 -500.00 -786.76 2500.00 3933.80 0.00 0.00 500.00 786.76 1000.00 1573.52 2 1.40 900.00 1264.44 -4000.00 -5619.71 0.00 0.00 2000.00 2809.86 3600.00 5057.74 3 1.25 1300.00 1630.72 5000.00 6272.00 4000.00 5017.60 3000.00 3763.20 2400.00 3010.56 4 1.12 2200.00 2464.00 6000.00 6720.00 7000.00 7840.00 4000.00 4480.00 5 1.00 -700.00 -700.00 3000.00 3000.00 12000.00 12000.00 1250.00 1250.00 700.18 5141.91 18160.70 6040.45 -1813.40.