Solution:
Purchase price -13,000
Sale of old machine 4150
Tax on sale of old machine -230
Change in net working capital -2200
Total investment 10,280
a. The market value reaches $4,150-$ 3,550= USD 600. Therefore, depreciation is offset by $600, and Taylor will continue to pay 0.40($600)= $240 in taxes
b. Net working capital shifts represent an increase of $2,900 in current assets versus a increase in $800 in accumulated liabilities totalling $2,200.
Examining the annual cash inflows:Sales increase 2,000
Cost decrease 1,900Increase in pre-tax revenues 3,900
After-tax revenue increase:$3,900(1-T) = $3,900(.60) = $2,340
Project cash flows:Initial outlay = -10,280
Year 1 = 3,040
Year 2 =3,616
Year 3 =3,002
Year 4 = 2,633
Year 5 = 2,633
Year 6 = 5,106
NPV of the project = $2,093.42 at WACC of 15%
The NPV of this incremental cash flow stream, when discounted at 15% is $2,083.51. Thus, the replacement should be made.