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ABC Company is considering the purchase of a new machine that would cost $500,000
ABC Company is considering the purchase of a new machine that would cost $500,000. The machine would have a useful life of 10 years. ABC Company plans on using straight-line depreciation with an estimated salvage value of $0. ABC Company has a hurdle rate of 10% and is subject to an income tax rate of 40%. The annual cash income is estimated to be $125,000.
1. The Accounting Rate of Return (AROR) is:
A. 7%
B. 8%
C. 9%
D. 10%
2. The Net Present Value (NPV) is:
A. $63,775
B. $73,775
C. $83,775
D. $93,775
3. The Profitability Index (PI) is:
A. 1.17
B. 1.27
C. 1.37
D. 1.47
4. The Payback period is:
A. 5.263 years
B. 6.263 years
C. 7.263 years
D. 8.263 years
5. Using interpolation, the Internal Rate of Return (IRR) is:
A. 10.78%
B. 11.78%
C. 12.78%
D. 13.78%
Expert Solution
1) Computation of Accounting Rate of Return (AROR):
Accounting Rate of Return = Annual Net Operating Income/Initial Investment
Here,
Annual Net Operating Income = (Income - Depreciation)*(1-Tax Rate)
Depreciation = (Cost-Salvage Value)*Useful Life of Asset = ($500,000-0)/10 = $50,000
Annual Net Operating Income = ($125000-$50,000)*(1-0.40) = $45,000
Initial Investment = $500,000
Accounting Rate of Return = $45,000/$500,000 = 0.09 i.e 9 %
So, the correct option is C "9%".
2) Net Present Value is $83,733.88 So, the correct option is C "$83,775". Difference is due to rounding off.
3) Profitability Index is 1.17 So, the correct option is A "1.17".
4) Payback Period is 5.263 years SO, the correct option is A "5.263 years".
5) The interenal rate of return is 13.77% So, the correct option is D "13.78%". Difference is due to rounding off.
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