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The Bigbee Bottling Company is contemplating the replacement of one of its bottling machines with a newer and more efficient one

Finance Nov 13, 2020

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 $625,000 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 $235,000. The old machine is being depreciated by $125,000 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 $140,000. 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 $220,000 will be realized if the new machine is installed. The company's marginal tax rate is 35%, and it has a 12% WACC.

  1. What initial cash outlay is required for the new machine? Round your answer to the nearest dollar. Negative amount should be indicated by a minus sign.
    $
  2. Calculate the annual depreciation allowances for both machines and compute the change in the annual depreciation expense if the replacement is made. Round your answers to the nearest dollar.
    Year Depreciation Allowance, New Depreciation Allowance, Old Change in Depreciation
    1 $ $ $
    2      
    3      
    4      
    5      
  3. What are the incremental net cash flows in Years 1 through 5? Round your answers to the nearest dollar.
    Year 1 Year 2 Year 3 Year 4 Year 5
    $ $ $ $ $
  4. Should the firm purchase the new machine?
    -Select-YesNoItem 22

    Support your answer. The input in the box below will not be graded, but may be reviewed and considered by your instructor.
  5. In general, how would each of the following factors affect the investment decision, and how should each be treated?
    1. The expected life of the existing machine decreases.

    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.

Expert Solution

a.) Calculation of Initial Net Cash Flow of the project

Initial Cash Flow = Purchase Price of New Machine - Sale Value of Old Machine - Tax on Sale of Old Machine

Tax on Sale of Old Machine = (Book Value - Sale Value) * Tax Rate

= (625,000 - 235000) * 35%

= 136500

Initial Cash Flow = Purchase Price of New Machine - Sale Value of Old Machine - Tax on Sale of Old Machine

= 1,100,000 - 235,000 - 136500

= -728500

(b.) Calculation of Change in Depreciation

Year Depreaciation New (Initial Cost * MACRS Rate) Deprecaition on Old Change in Depreacition
1 220000 125000 95000
2 352000 125000 227000
3 209000 125000 84000
4 132000 125000 7000
5 121000 125000 -4000

(c.) Calculation of Incremental Cash Flows :

Below is the Table showing Incremental Cash Flows

Year After Tax Cash Flow [Annual saving * (1 - Tax Rate) Change in Depreacition * Tax Rate Incremental Cash Flow
1 143000 33250 176250
2 143000 79450 222450
3 143000 29400 172400
4 143000 2450 145450
5 143000 -1400 141600+114100=255700

After Tax Salvage Value = Salvage Value - Tax on Gain on Sale

Tax on Gain Sale of New Machine = ( Sale Value - Book Value ) * Tax Rate

= [ 140000 - (1100000 * 6%) ] * 35%

= 25900

After Tax Salvage Value = 140000 - 25900

= 114100

(d.) Below is the table showing Net Present value :

Year Cash Inflows PVF @ 12% Present Value of Cash Inflow
1 176250 0.892857143 157366.0714
2 222450 0.797193878 177335.7781
3 172400 0.711780248 122710.9147
4 145450 0.635518078 92436.1045
5 255700 0.567426856 145091.047
       
  Total Present Value of Cash Outflows   694940
       
  Add: Present Value of Cash Inflow   728500
       
  Net present Value   -33560

(e.) If the expected life of old machine decreases , the new machine will look better as cash flows attributable to the new machine would increase.

The higher cost of capital should be used

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