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considering the purchase of a new printing press

Finance Oct 20, 2020

considering the purchase of a new printing press. The cost of the press is $2 million. This outlay will be partially offset by the sale of an existing press The old press has zero net book value, cost $1 million ten years ago and can be sold currently for $0.2 million before taxes. As a result of acquiring the new press, sales in each of the next five years are expected to increase by $1.6 million but product costs, excluding depreciation, will represent forty percent of sales. The new press will require that creditors be upped by four hundred thousand dollars and debtors increase by nine hundred thousand dollars. The new press will also be depreciated using a straight line method to a residual value of three hundred thousand dollars but will only fetch two hundred and twenty thousand dollars on the market. Investing in such assets attracts a Special Initial Allowance (SIA) of twenty five percent of the installed cost to be spread equally over the useful life of the asset. This new printing press is expected to chew $200 000 to install it. The firm is subject to a thirty percent tax rate on both ordinary income and capital gains. Wells Printing cost of capital is 20 percent per year. Assume that depreciation is tax allowable. Required Advice the company on whether to invest in the new press or not, using Profitability index approach.

Expert Solution

Year 0 1 2 3 4 5
1.Cost of the new press -2000000          
2.Installation cost -200000          
3.Special investment allowance(2200000*25%/5)   110000 110000 110000 110000 110000
4.After-tax sale value of old press(200000*(1-30%)) 140000          
5.NWC reqd.& recovered at end yr.5(400000-900000) -500000         500000
6.After-tax sale value of the new press(225000+((300000-225000)*30%))           247500
             
Operating cash flows:            
7.Incremental sales revenues   1600000 1600000 1600000 1600000 1600000
8.Incl. Cost of sales(Sales*40%)   -640000 -640000 -640000 -640000 -640000
9.Incl.depn.((2200000*(1-25%)-300000)/5   -270000 -270000 -270000 -270000 -270000
10.Incl. EBIT(sum 7 to 9)   690000 690000 690000 690000 690000
11.Tax at 30%(10*30%)   -207000 -207000 -207000 -207000 -207000
12.NOPAT(10+11)   483000 483000 483000 483000 483000
13.Add back: depn.(same line 9)   270000 270000 270000 270000 270000
14.Operating cash flows(12+13)   753000 753000 753000 753000 753000
             
15.Total annual FCFs(1+2+3+4+5+6+14) -2560000 863000 863000 863000 863000 1610500
16.PV F at 20%(1/1.2^Yr.n) 1 0.83333 0.69444 0.57870 0.48225 0.40188
17.PV at 20%(15*16) -2560000 719166.67 599305.56 499421.30 416184.41 647223.83
18.NPV at 20%(sum of line 17) 321301.76          
19.Profitability Index(PI)=            
1+(NPV/Initial Investment)            
NPV= 321301.76          
Initial investment=            
Yr.0 Cfs-PV of investment allowance( at 20% for 5 yrs.)            
             
Yr.0 CFs= 2560000          
             
PV of investment allowance( at 20% for 5 yrs.)            
ie. 110000*2.99061      (P/A,i=20%,n=5)            
328967.10            
             
so, Initial investment=            
2560000-328967.10=            
2231032.90            
             
so, PI=            
1+(321301.76/2231032.90)            
1.14            
             
As NPV is POSITIVE & PI > 1, it is recommended to INVEST.            

 

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