PLEASE ANSWER ALL 4 QUESTIONS FOR ALL THE POINTS THANKS!!! Mayfair Metals Compan
ID: 2701157 • Letter: P
Question
PLEASE ANSWER ALL 4 QUESTIONS FOR ALL THE POINTS THANKS!!!
Mayfair Metals Company is considering the replacemnt of its old, fully depreciated pressing machine. Two new models are available: Machine A, which has a cost of $165,000, a 4-year expected life, and after-tax cash flows (labor savings and depreciation) of $76,500 per year; and Machine B, which has a cost of $310,000, an 8-year life, and after-tax cash flows of $83,400 per year. Pressing machine prices are not expected to rise, because inflation will be offset by cheaper components (microprocessors) used in the machines. Assume that Majestic's cost of capital is 12%. Answer each of the questions presented below. including any computations.
#1: Should the firm replace its old pressing machine? Explain.
#2: If the firm is to replace its old pressing machine, which new machine should it use? Explain.
#3: What is the equivalent annual annuity for Machine A? Show your work below and round your answer to the nearest cent.
#4: What is the equivalent annual annuity for each machine 360-6? Show your work below and round your answer to the nearest cent.
Thank-you!
Explanation / Answer
Dep using SLN for Mac A = 165000/4 = $41,250
SO Net CF = 76500+Dep = 76500+$41,250 = $117,750
NPV of MAch A = NPV(Rate,CF1..CF4) + CF0
ie NPV = NPV(12%,117750,117750,117750,117750) - 165000
ie NPV(A) = $192,648
So EAA (A)= Rate*NPV/(1-(1+Rate)^(-n))
ie EAA(A) = 12%*192648/(1-(1+12%)^(-4))
= $63,426.36 ..(A)
Putting the variables of the 15 year project into the equivalent annual annuity formula shows
Dep using SLN for Mac B= 310000/8 = $38,750
SO Net CF = 83400+Dep = 83400+$38,750 = $122,150
NPV of MAch B = NPV(Rate,CF1..CF4) + CF0
ie NPV = NPV(12%,122150,122150,122150,122150,122150,122150,122150,122150) - 310000
ie NPV(B) =$296,797
So EAA(B) = Rate*NPV/(1-(1+Rate)^(-n))
ie EAA(B) = 12%*296797/(1-(1+12%)^(-8))
=$59,746.08 ..(B)
1. Firm should replace its Old pressing machine as replacement cost is not expected to change. Also it is fully depreciated so its book value is zero. So There s no tax shield available.
2. Based on findings A & B, Machine A should be used as it has higher EAA in 4 yrs as compared to B which has lower EAA spread over 8 Yrs.
3. EAA of Machine A calucltaion is shown above.
4. EAA of Machine A & B is calculated above.
Comparing these two Machines, the 4 year Machne will return a higher amount relative to the time of the investment. Although the 8 year MAchinie project has a higher NPV, the 4 year Machne price can be reinvested and have additional earnings for the next 4 years that remain on the 8 year Press Life cycle.
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