In: Finance
REPLACEMENT ANALYSIS
The Bigbee Bottling Company is contemplating the replacement of one of its bottling machines with a newer and more efficient one. The old machine has a book value of $600,000 and a remaining useful life of 5 years. The firm does not expect to realize any return from scrapping the old machine in 5 years, but it can sell it now to another firm in the industry for $295,000. The old machine is being depreciated by $120,000 per year, using the straight-line method.
The new machine has a purchase price of $1,100,000, an estimated useful life and MACRS class life of 5 years, and an estimated salvage value of $150,000. The applicable depreciation rates are 20%, 32%, 19%, 12%, 11%, and 6%. It is expected to economize on electric power usage, labor, and repair costs, as well as to reduce the number of defective bottles. In total, an annual savings of $225,000 will be realized if the new machine is installed. The company's marginal tax rate is 35%, and it has a 12% WACC.
Year | Depreciation Allowance, New | Depreciation Allowance, Old | Change in Depreciation |
1 | $ | $ | $ |
2 | |||
3 | |||
4 | |||
5 |
Year 1 | Year 2 | Year 3 | Year 4 | Year 5 |
$ | $ | $ | $ | $ |
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
2. The WACC is not constant, but is increasing as Bigbee adds more projects into its capital budget for the year.The input in the box below will not be graded, but may be reviewed and considered by your instructor.
Part a: | ||||
Net Cashflow if new machine is purchased and old machine is replaced | ||||
Tax credit on sale of old machine = (Book value - sale value) * tax rate = ($600,000 - $295,000)*35% = $106,750 | ||||
After tax sale value of Old Machine = Sale Value + Tax credit = $295,000 + $106,750 = $411,750 | ||||
Purchase of New machine = $1,100,000 | ||||
Less: After tax Sale Value = ($411,750) | ||||
Net Initial Cash Outflow = $688,250 | ||||
Part b: | ||||
Computation of Incremental Annual Depreciation Expense | ||||
Year | Depreciation Allowance, New | Depreciation Allowance, Old | Change in Depreciation | |
1 | 220000 | 120000 | 100000 | |
2 | 352000 | 120000 | 232000 | |
3 | 209000 | 120000 | 89000 | |
4 | 132000 | 120000 | 12000 | |
5 | 121000 | 120000 | 1000 |
Part (c ): | |||||
Calculation of Incremental Net Cashflows | |||||
Particulars | Year 1 | Year 2 | Year 3 | Year 4 | Year 5 |
Operating Cash Flows | |||||
Annual Pre tax Savings (A) | 225000 | 225000 | 225000 | 225000 | 225000 |
Less: incremental Depreciation (B) | 100000 | 232000 | 89000 | 12000 | 1000 |
Profit Before Tax (C = A-B) | 125000 | -7000 | 136000 | 213000 | 224000 |
Less: Tax @35% (D = C*35%) | 43750 | -2450 | 47600 | 74550 | 78400 |
Profit After Tax (E = C-D) | 81250 | -4550 | 88400 | 138450 | 145600 |
Addback Depreciation (F = B) | 100000 | 232000 | 89000 | 12000 | 1000 |
Net Operating Cashflows (G = E+F) | 181250 | 227450 | 177400 | 150450 | 146600 |
Additional Cashflows in Year 5 | |||||
Salvage value (H) | 155000 | ||||
Less: Depreciation (I) ($1,100,000 *6%) |
66000 | ||||
Net Salvage Value (J = H-I) | 89000 | ||||
Less: Tax @35% (K = J*35%) | 31150 | ||||
Profit After Tax (L = J-K) | 57850 | ||||
Addback Depreciation (M = I) | 66000 | ||||
Net Salvage Value after tax (N = L+M) | 123850 | ||||
Total Cashflows (O = G+N) | 181250 | 227450 | 177400 | 150450 | 270450 |
v
Part (d): | |||
Calculation of NPV of the Project | |||
Year | Cashflows | Discount Rate @12% | Discounted Cashflows |
A | B | C = 1/(1+12%)^A | D = B*C |
0 | -688250 | 1 | -688250 |
1 | 181250 | 0.892857143 | 161830.3571 |
2 | 227450 | 0.797193878 | 181321.7474 |
3 | 177400 | 0.711780248 | 126269.816 |
4 | 150450 | 0.635518078 | 95613.6949 |
5 | 270450 | 0.567426856 | 153460.5931 |
Net Present Value of Machine | 30246.20858 | ||
NPV = $30,246.21 | |||
The firm should purchase the machine since NPV > 0 |
Question e:
The factor affective the decision is if the useful life of existing machine decrease