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Lou Barlow, a divisional manager for Sage Company, has an opportunity to manufac

ID: 2497753 • Letter: L

Question

Lou Barlow, a divisional manager for Sage Company, has an opportunity to manufacture and sell one of two new products for a five-year period. His annual pay raises are determined by his division’s return on investment (ROI), which has exceeded 20% each of the last three years. He has computed the cost and revenue estimates for each product as follows:

    Product A   Product B

Initial investment:                 

Cost of equipment (zero salvage value)   $   260,000      $   470,000

Annual revenues and costs:                 

Sales revenues   $   310,000      $   410,000

Variable expenses   $   144,000      $   194,000

Depreciation expense   $   52,000      $   94,000

Fixed out-of-pocket operating costs   $   76,000      $   56,000

  

The company’s discount rate is 18%.

  

1.Calculate the payback period for each product.

2  

Calculate the net present value for each product.

3.Calculate the project profitability index for each product.

4. Calculate the simple rate of return for each product.

5.For each measure, identify whether Product A or Product B is preferred.

Lou Barlow, a divisional manager for Sage Company, has an opportunity to manufacture and sell one of two new products for a five-year period. His annual pay raises are determined by his division’s return on investment (ROI), which has exceeded 20% each of the last three years. He has computed the cost and revenue estimates for each product as follows:

    Product A   Product B

Initial investment:                 

Cost of equipment (zero salvage value)   $   260,000      $   470,000

Annual revenues and costs:                 

Sales revenues   $   310,000      $   410,000

Variable expenses   $   144,000      $   194,000

Depreciation expense   $   52,000      $   94,000

Fixed out-of-pocket operating costs   $   76,000      $   56,000

  

The company’s discount rate is 18%.

  

.

1.Calculate the payback period for each product.

2  

Calculate the net present value for each product.

3.Calculate the project profitability index for each product.

4. Calculate the simple rate of return for each product.

5.For each measure, identify whether Product A or Product B is preferred.

Explanation / Answer

1)

Product A

Payback period = Initial Investment/Annual Cash flow

Payback period = 260000/90000

Payback period = 2.89 Years

Product B

Payback period = Initial Investment/Annual Cash flow

Payback period = 470000/150000

Payback period = 3.13 Years

2)

Product A

NPV = -initial investment + Annual Cash flow*(1-(1+r)^-n)/r

NPV = -260000 + 90000*(1-(1+18%)^-5)/18%

NPV = 21445.39

Product B

NPV = -initial investment + Annual Cash flow*(1-(1+r)^-n)/r

NPV = -470000 + 150000*(1-(1+18%)^-5)/18%

NPV = 924.35

3)

Product A

Project profitability index = (1+NPV/Initial Investment)

Project profitability index = (1+ 21445.39/260000)

Project profitability index = 1.082

Product B

Project profitability index = (1+NPV/Initial Investment)

Project profitability index = (1+ -924.35/470000)

Project profitability index = 0.998

4)

Product A

simple rate of return = Annual Net Income/Initial Investment

simple rate of return = 38000/260000

simple rate of return = 14.62%

Product B

simple rate of return = Annual Net Income/Initial Investment

simple rate of return = 66000/470000

simple rate of return = 14.04%

5)

Working

Product A

Initial investment = 260000

Annual Net Income = Sales revenues - Variable expenses - Depreciation expense - Fixed out-of-pocket operating costs

Annual Net Income = 310000-144000-52000-76000

Annual Net Income = $ 38000

Annual Cash Flow = Annual Net Income + Depreciation expense

Annual Cash Flow = 38000+52000

Annual Cash Flow = 90000

Product B

Initial investment = 470000

Annual Net Income = Sales revenues - Variable expenses - Depreciation expense - Fixed out-of-pocket operating costs

Annual Net Income = 410000-194000-94000-56000

Annual Net Income = $ 66000

Annual Cash Flow = Annual Net Income + Depreciation expense

Annual Cash Flow = 66000+94000

Annual Cash Flow = 150000

As per : Preferred Payback period Product A Net present value Product A Project profitability index Product A Simple rate of return Product A
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