Hagar Industrial Systems Company (HISC) is trying to decide between two differen
ID: 2660252 • Letter: H
Question
Hagar Industrial Systems Company (HISC) is trying to decide between two different conveyor belt systems. System A costs $290,000, has a four-year life, and requires $85,000 in pretax annual operating costs. System B costs $405,000, has a six-year life, and requires $75,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. Whichever system is chosen, it will not be replaced when it wears out. The tax rate is 34 percent and the discount rate is 11 percent.
Calculate the NPV for both conveyor belt systems. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places. (e.g., 32.16))
Hagar Industrial Systems Company (HISC) is trying to decide between two different conveyor belt systems. System A costs $290,000, has a four-year life, and requires $85,000 in pretax annual operating costs. System B costs $405,000, has a six-year life, and requires $75,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. Whichever system is chosen, it will not be replaced when it wears out. The tax rate is 34 percent and the discount rate is 11 percent.
Explanation / Answer
Hagar Industrial Systems Company (HISC) is trying to decide between two different conveyor belt systems. System A costs $290,000, has a four-year life, and requires $85,000 in pretax annual operating costs. System B costs $405,000, has a six-year life, and requires $75,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. Whichever system is chosen, it will not be replaced when it wears out. The tax rate is 34 percent and the discount rate is 11 percent.
Calculate the NPV for both conveyor belt systems. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places. (e.g., 32.16))
Annual Cash flow
System A = 85000*0.66 - 290000/4 *0.34 = $ 31450
System B = 75000*0.66 - 405000/6 *0.34 = $ 26550
Present Value of Annual Cash flow
System A = pv(rate,nper,pmt,fv)
System A = pv(11%,4,31450,0)
System A = $ 97,571.92
System B = pv(rate,nper,pmt,fv)
System B = pv(11%,6,26550,0)
System B = $ 112,320.78
Present Value of Total Cash outflow :
System A = $ 97,571.92 + 290000 = $ 387,571.92
System B = $ 112,320.78 + 405000 = $ 517,320.78
Equivalent Annual Cost
System A = $ 387,571.92/ pv(11%,4,1,0) = $ 124,924.64
System B = $ 517,320.78/ pv(11%,6,1,0) = $ 122,282.51
Since Equivalent Annual Cost of System B is lower than System A we should choose System B
Calculate the NPV for both conveyor belt systems. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places. (e.g., 32.16))
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