In: Finance
Problem 9-13 Project Evaluation [LO 2]
Kolby’s Korndogs is looking at a new sausage system with an
installed cost of $753,000. This cost will be depreciated
straight-line to zero over the project’s six-year life, at the end
of which the sausage system can be scrapped for $96,000. The
sausage system will save the firm $184,000 per year in pretax
operating costs, and the system requires an initial investment in
net working capital of $42,000.
What is the aftertax salvage value of the equipment? (Do
not round intermediate calculations and round your answer to the
nearest whole number, e.g., 32.)
Aftertax salvage value
$
What is the annual operating cash flow? (Do not round
intermediate calculations and round your answer to the nearest
whole number, e.g., 32.)
OCF
$
If the tax rate is 35 percent and the discount rate is 7 percent,
what is the NPV of this project? (Do not round intermediate
calculations and round your answer to 2 decimal places, e.g.,
32.16.)
NPV
$
Time line | 0 | 1 | 2 | 3 | 4 | 5 | 6 | |
Cost of new machine | -753000 | |||||||
Initial working capital | -42000 | |||||||
=Initial Investment outlay | -795000 | |||||||
Savings | 184000 | 184000 | 184000 | 184000 | 184000 | 184000 | ||
-Depreciation | Cost of equipment/no. of years | -125500 | -125500 | -125500 | -125500 | -125500 | -125500 | |
=Pretax cash flows | 58500 | 58500 | 58500 | 58500 | 58500 | 58500 | ||
-taxes | =(Pretax cash flows)*(1-tax) | 38025 | 38025 | 38025 | 38025 | 38025 | 38025 | |
+Depreciation | 125500 | 125500 | 125500 | 125500 | 125500 | 125500 | ||
=after tax operating cash flow | 163525 | 163525 | 163525 | 163525 | 163525 | 163525 | ||
reversal of working capital | 42000 | |||||||
+After tax salvage cash flow | =selling price* ( 1 -tax rate) | 62400 | ||||||
+Tax shield on salvage book value | =Salvage value * tax rate | 0 | ||||||
=Terminal year after tax cash flows | 104400 | |||||||
Total Cash flow for the period | -795000 | 163525.00 | 163525.0000 | 163525.00 | 163525 | 163525 | 267925 | |
Discount factor= | (1+discount rate)^corresponding period | 1 | 1.07 | 1.1449 | 1.225043 | 1.310796 | 1.4025517 | 1.5007304 |
Discounted CF= | Cashflow/discount factor | -795000 | 152827.1028 | 142829.068 | 133485.1103 | 124752.44 | 116591.07 | 178529.74 |
NPV= | Sum of discounted CF= | 54014.53 |