Question

Mississippi River Shipyards is considering the replacement of an 8-year-old riveting machine with a new one that will increase earnings before depreciation from $27,000 to $54,000 per year. The new machine will cost $82,500, and it will have an estimated life of 8 years and no salvage value. The new machine will be depreciated over its 5-year MACRS recovery period; so the applicable depreciation rates are 20%, 32%, 19%, 12%, 11%, and 6%. The applicable corporate tax rate is 40%, and the firm's WACC is 12%. The old machine has been fully depreciated and has no salvage value.

Required:
Should the old riveting machine be replaced by the new one?

Answer 1

Calculating the (NPV) Net Present value for the following matters to check the feasibility of the replacement of an 8 year old riveting machine with the new one :

Let

A = Year (n)

B = Initial outlay

C = Five-year MACRS depreciation percentage

D = Depreciation with MACRS Method (D)

E = Savings in earnings before depreciation

F = Taxable Income (earnings before depreciation - depreciation

G = Income taxes (Taxable Income *40%)

H =
`\text{After-Tax Net}` cash flow
`\text{(Taxable income - taxes + depreciation)}`

I = PV of
`\text{Net cash flow}` at the rate
`12\%`=
`NCF`/
`(1+WACC\%)^n`

A B C D E F G H I

0 82,500 -82,500 -82,500

1 20% 16500 27000 10500 4200 22800 20357.14

2 32% 26400 27000 600 240 26760 21332.91

3 19% 15675 27000 11325 4530 22470 15993.70

4 12% 9900 27000 17100 6840 20160 12812.04

5 11% 9075 27000 17925 7170 19830 11252.07

6 6% 4950 27000 22050 8820 18180 9210.55

7 0% 0 27000 27000 10800 16200 7328.06

8 0% 0 27000 27000 10800 16200 6542.91

NPV $22,329.39

As the NPV, the project is positive ($22,329.39) and so the company should replace the 8 year old riveting machine with the new one.