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Replacement Analysis Although the Chen Company's milling machine is old, it is still in relatively good working order and would last for another 10 years

Finance Dec 23, 2020

Replacement Analysis Although the Chen Company's milling machine is old, it is still in relatively good working order and would last for another 10 years. It is inefficient compared to modern standards, though, and so the company is considering replacing it. The new milling machine, at a cost of $118,000 delivered and installed, would also last for 10 years and would produce after-tax cash flows (labor savings and depreciation tax savings) of $19,100 per year. It would have zero salvage value at the end of its life. The project cost of capital is 10%, and its marginal tax rate is 25%. Should Chen buy the new machine? Do not round intermediate calculations. Round your answer to the nearest cent. Negative value, if any, should be indicated by a minus sign. NPV: $ Chen -Select- purchase the new machine.

Expert Solution

Machine                      
Discount rate 0.1                    
Year 0 1 2 3 4 5 6 7 8 9 10
Cash flow stream -118000 19100 19100 19100 19100 19100 19100 19100 19100 19100 19100
Discounting factor 1 1.1 1.21 1.331 1.4641 1.61051 1.771561 1.948717 2.143589 2.357948 2.593742
Discounted cash flows project -118000 17363.64 15785.12 14350.11 13045.557 11859.6 10781.45 9801.32 8910.291 8100.265 7363.877
NPV = Sum of discounted cash flows                    
NPV Machine = -638.77                    
Where                      
Discounting factor = (1 + discount rate)^(Corresponding period in years)              
Discounted Cashflow= Cash flow stream/discounting factor                  
Reject project as NPV is negative                    
                     
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