Question

DataPoint Engineering is considering the purchase of a new piece of equipment for $360,000. It has an eight year midpoint of
c. Determine the weighted average cost of capital. (Do not round intermediate calculations. Enter your answer as a percent ro
Table 12-11 Categories for depreciation write-off Class 3-year MACRS 5-year MACRS 7-year MACRS 10-year MACRS 15-year MACRS Al
Table 12-12 Depreciation percentages (expressed In decimals) Depreciation Year 3-Year 5-Year 7-Year 10-Year 15-Year 20-Year M
Appendix & Present value of $1, PV, PVP Period IN 10% 0.909 0.000 0.00 0.971 0.951 0.951 0.971 0.943 0.915 0001 0812 0.062 0.
0 0
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Answer #1
a.
Year Depn.Base %age Depn. Annual depn. Depn.tax shield=Depn.*25%
1 360000 0.143 51480 12870
2 360000 0.245 88200 22050
3 360000 0.175 63000 15750
4 360000 0.125 45000 11250
5 360000 0.089 32040 8010
6 360000 0.089 32040 8010
311760 77940
b. Annual cash flows for each year
Year 0 1 2 3 4 5 6
1.Cost of equipmemt -360000
2.NWC introd.& Recovered -180000 65000
3.Income before Depn.&tax 221000 184000 154000 139000 107000 97000
4.After-tax income(3*(1-25%) 165750 138000 115500 104250 80250 72750
5.Depn.tax shield(Depn.*25%) 12870 22050 15750 11250 8010 8010
6.Total annual cash flows(1+2+4+5) -540000 178620 160050 131250 115500 88260 145760
c. Weighted average cost of capital :
WACC=(Kd*Wt.d)+(Kp*Wt.p)+(Ke*Wt.e)
ie.(6.20%*30%)+(10.80%*10%)+(15%*60%)=
11.94%
d-1. NPV
Annual cash flows as per b.above
Year C/Fs PV F at 11.94% PV at 11.94%
0 -540000 1 -540000
1 178620 0.89334 159567.63
2 160050 0.79805 127727.69
3 131250 0.71293 93571.46
4 115500 0.63688 73559.84
5 88260 0.56895 50215.46
6 145760 0.50826 74084.36
NPV= 38726.44
d-2.YES
As NPV is POSITIVE
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