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

Solution :

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.