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7. A tower crane has the following costs, and can be sold to a salvage yard at the end of its useful life of 12 years. What a
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Answer #1

initial cost = 140000

Annual operating expenses = 20000

Annual maintenance cost = 10000 in yr 1 and increasing at 10% per year

salvage value = 15000

t=12yrs

i= 10%

Calculating net cash flow in each year and then present value

Year investment Annual operating cost Annual maintenace cost Salvage value Net cash flow discount factor present value
0 -140000 -1,40,000.00 1.000000 -1,40,000.00
1 -20000 -10000 -30,000.00 0.909091 -27,272.73
2 -20000 -11,000.00 -31,000.00 0.826446 -25,619.83
3 -20000 -12,100.00 -32,100.00 0.751315 -24,117.21
4 -20000 -13,310.00 -33,310.00 0.683013 -22,751.18
5 -20000 -14,641.00 -34,641.00 0.620921 -21,509.34
6 -20000 -16,105.10 -36,105.10 0.564474 -20,380.39
7 -20000 -17,715.61 -37,715.61 0.513158 -19,354.07
8 -20000 -19,487.17 -39,487.17 0.466507 -18,421.06
9 -20000 -21,435.89 -41,435.89 0.424098 -17,572.86
10 -20000 -23,579.48 -43,579.48 0.385543 -16,801.77
11 -20000 -25,937.42 -45,937.42 0.350494 -16,100.79
12 -20000 -28,531.17 15000 -33,531.17 0.318631 -10,684.06
-3,80,585.28
AEW= P*(A/P, 10%, 12 yrs), (A/P, 10%, 12) = 0.146763315 AEW -55855.96

showing formula in excel

Year investment Annual operating cost Annual maintenace cost Salvage value Net cash flow discount factor present value
0 -140000 =B64+C64+E64+D64 =1/(1+0.1)^A64 =F64*G64
1 -20000 -10000 =B65+C65+E65+D65 =1/(1+0.1)^A65 =F65*G65
2 -20000 =D65*1.1 =B66+C66+E66+D66 =1/(1+0.1)^A66 =F66*G66
3 -20000 =D66*1.1 =B67+C67+E67+D67 =1/(1+0.1)^A67 =F67*G67
4 -20000 =D67*1.1 =B68+C68+E68+D68 =1/(1+0.1)^A68 =F68*G68
5 -20000 =D68*1.1 =B69+C69+E69+D69 =1/(1+0.1)^A69 =F69*G69
6 -20000 =D69*1.1 =B70+C70+E70+D70 =1/(1+0.1)^A70 =F70*G70
7 -20000 =D70*1.1 =B71+C71+E71+D71 =1/(1+0.1)^A71 =F71*G71
8 -20000 =D71*1.1 =B72+C72+E72+D72 =1/(1+0.1)^A72 =F72*G72
9 -20000 =D72*1.1 =B73+C73+E73+D73 =1/(1+0.1)^A73 =F73*G73
10 -20000 =D73*1.1 =B74+C74+E74+D74 =1/(1+0.1)^A74 =F74*G74
11 -20000 =D74*1.1 =B75+C75+E75+D75 =1/(1+0.1)^A75 =F75*G75
12 -20000 =D75*1.1 15000 =B76+C76+E76+D76 =1/(1+0.1)^A76 =F76*G76
=SUM(H64:H76)
AEW= P*(A/P, 10%, 12 yrs), (A/P, 10%, 12) = 0.146763315 AEW =H77*0.146763315
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