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ABC Company is considering the purchase of a new machine that would cost $500,000

Accounting Nov 18, 2020

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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