Xinhong Company is considering replacing one of its manufacturing machines. The machine has a book value of $45,000 and a remain
ing useful life of five years, at which time its salvage value will be zero. It has a current market value of $52,000. Variable manufacturing costs are $36,000 per year for this machine. Information on two alternative replacement machines follows. Should Xinhong keep or replace its manufacturing machine? If the machine should be replaced, which alternative new machine should Xinhong purchase?
Alterantive A Alternative B
Cost $115,000 $125,000
Variable manufacturing 19,000 15,000
costs per year
Alterantive A Alternative B
Cost $115,000 $125,000
Variable manufacturing 19,000 15,000
costs per year
1 answer:
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Answer:
b.The IRR is equal to 25.85%
Explanation:
Firstly we are given that i consider investing $100000 which will in this problem be our Cinitial which is the initial investment for the project.
Then now given the risk of this project, my cost of capital is 20% so then we will compare this to the IRR and see if i can accept the project or not if the cost of capital is greater than the IRR than its not good to invest on the project but if the cost of capital is less than the IRR then the this will be a good investment as the cost of capital also checks the opportunity cost.
The future payment cash flows which is $500000 so we will use the following formula:
NPV = (cash flow)/(1+IRR)^n - initial investment
so we find the present value of the cash flow of the investment and subract the initial investment which will give us a zero cause the present value of the cash flow is equal to the initial investment therefore( n is the period of cash flows):
0= $500000/(1+IRR)^7 - $100000 transpose the initial investment and solve for IRR.
$100000(1+IRR)^7= $500000 then divide both sides by $100000
(1+IRR)^7 = 5 then find the 7nth root of both sides to eliminate the exponent of 7
1+ IRR =
1+IRR = 1.258498951 then subtract 1 both sides to solve for IRR
IRR = 0.258498... then multiply by 100 as IRR is a percentage
IRR= 25.85 % rounded off to two decimal places which is the answer b