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April 17th, 2011, 03:03 AM  #1 
Newbie Joined: May 2009 Posts: 7 Thanks: 0  Incremental NPV
Company has an old machine, purchased for $200,000 five years ago. It provides annual income of $70,000 and depreciation allowances of $20,000 as its life is 10 years. The market value of the machine currently is $90,000 and it will be worthless in 5 years. Company is considering replacing this with a new machine for the last 5 years of its life. The new machine costs $400,000 with a life of 5 years and will provide annual income of $180,000 and depreciation charges of $80,000. It is assumed the salvage value of the machine is zero. The companys tax rate is 30% and the projects required rate of return in 12%. Is it worth boying the new machine. what is the incremental NPV? This is what i did: Keep old machine Year 1 2 3 4 5 Income 70 70 70 70 70 Depn 20 20 20 20 20 taxable income 50 50 50 50 50 Tax payable 15 15 15 15 15 income 70 70 70 70 70 cash flow after tax 55 55 55 55 55 NPV = $198.26 (dont take into account the $200,000 purchase as it is a sunk cost) Buy new machine Year 0 1 2 3 4 5 Income 180 180 180 180 180 Depn 80 80 80 80 80 taxable income 100 100 100 100 100 Loss on disposal 10 Tax payable +3 30 30 30 30 30 income 180 180 180 180 180 Salavge 0 Initial outlay 400 cash flow after tax 150 150 150 150 150 NPV = 540.72  397 = 143.7 Incremental NPV = 143.7 198.26 =?????????? The answer is: "Replace existing machine as the NPV of replacing is $35,456 higher" How did they get this answer? 
April 30th, 2011, 04:15 AM  #2  
Senior Member Joined: Apr 2011 From: USA Posts: 782 Thanks: 1  Re: Incremental NPV Quote:
Quote:
It took me a bit to figure out what the 3 thousand was. I think it threw me because the loss on disposal would go with the old machine because that's part of the selling of it. I see now you're accounting for the tax benefit from that loss. But that would go up at the top section and affect the 90,000, not down here. So the investment should remain at 400. So looks like the 90,000 is the only missing number.  

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