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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

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