$4.$ Analysis of a replacement project

At times firms will need to decide if they want to continue to use their current equipment or replace the equipment with newer equipment. The company will need to do replacement analysis to determine which option is the best financial decision for the company.

LoRusso Co$.$ is considering replacing an existing piece of equipment. The project involves the following:

$$ The new equipment will have a cost of $$9,000,000,$ and it is eligible for $100\%$ bonus depreciation so it will be fully depreciated at t $=0.$

$$ The old machine was purchased before the new tax law, so it is being depreciated on a straight$-$line basis. It has a book value of $$200,000($at year $0)$ and four more years of depreciation left $($$$50,000$ per year$).$

$$ The new equipment will have a salvage value of $$0$ at the end of the project's life $($year $6).$ The old machine has a current salvage value $($at year $0)$ of $$300,000.$

$$ Replacing the old machine will require an investment in net operating working capital $($NOWC$)$ of $$60,000$ that will be recovered at the end of the project's life $($year $6).$

$$ The new machine is more efficient, so the firm$$s incremental earnings before interest and taxes $($EBIT$)$ will increase by a total of $$600,000$ in each of the next six years $($years $16).$ Hint: This value represents the difference between the revenues and operating costs $($including depreciation expense$)$ generated using the new equipment and that earned using the old equipment.

$$ The project's cost of capital is $13\%.$

$$ The company's annual tax rate is $25\%.$

Complete the following table and compute the incremental cash flows associated with the replacement of the old equipment with the new equipment.

Year $0$

Year $1$

Year $2$

Year $3$

Year $4$

Year $5$

Year $6$

Initial investment

EBIT

$$ Taxes

$\backslash$Delta Depreciation $\backslash$times T

$+$ Salvage value

$$ Tax on salvage

$$ NOWC

$+$ Recapture of NOWC

Total free cash flow

The net present value $($NPV$)$ of this replacement project is:

$-$$$5,456,134$

$-$$$4,744,464$

$-$$$3,558,348$

$-$$$4,032,794$