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

ID: 2472534 • 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 25% each of the last three years. He has computed the cost and revenue estimates for each product as follows:

  

  

  

Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor using tables.

  

Calculate the payback period for each product. (Round your answers to 2 decimal places.)

     

Calculate the net present value for each product. (Round discount factor(s) to 3 decimal places.)

     

Calculate the internal rate of return for each product. (Round percentage answer to 1 decimal place. i.e. 0.1234 should be considered as 12.3% and Round discount factor(s) to 3 decimal places.)

         

Calculate the project profitability index for each product. (Round discount factor(s) to 3 decimal places. Round your answers to 2 decimal places.)

     

Calculate the simple rate of return for each product. (Round percentage answer to 1 decimal place. i.e. 0.1234 should be considered as 12.3%.)

     

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

     

Based on the simple rate of return, Lou Barlow would likely:

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 25% each of the last three years. He has computed the cost and revenue estimates for each product as follows:

Explanation / Answer

1) Pay back period:

Payback period = Initial investment/annual cash flow

Product A:

Payback period = $340000 / $125000 = 2.72 years

Product B:

Payback period = $525000 / $192000 = 2.73 years

2)

NPV of product A = $125000 x PVIFA (17%, 5) - $340000 = $125000 x 3.199 -$340000 = $59875

NPV of product B = $192000 x PVIFA(17%,5) - $525000 = $192000 x 3.199 - $525000 = $89208

3) Internal rate of return:

At IRR, the NPV will be zero.

IRR for product A:

NPV at 30% = 125000*2.436-340000 = -$35500

NPV at 17% = $59875

By Interpolation we get:

R = = 17% + 13% * ((0-59875)/(-35500-59875) = 25.16%

Product B:

NPV at 30% = 192000*2.436-525000 = -$57288

NPV at 17% = $89208

R = 17% + 13% * ((0-89208)/(-57288-89208) = 24.92%

4) Profitability Index = 1 + NPV/initial investment

Product A:

Profitability Index = 1 + $59875/$340000 = 1.18

Product B:

Profitability Index = 1 + $89208/$525000 = 1.17

5)

Simple rate of return

= Incremental net operating income / (Initial investment-Salvage value)

salvage value for both the investment is zero

Product A:

Simple rate of return = $125000/$340000 = 36.76%

Product B:

Simple rate of return = $192000 / $525000 = 36.57%

6a) For Pay back period, Profitability index, Internal rate of return and Simple rate of return, Product A is showing a slightly better performace than product B. However, for NPV product B is showing higher NPV than that of A.

6b) Accept product A.

Products A B Sales revenue $   3,80,000.00 $   4,80,000.00 Variable expenses $ -1,72,000.00 $ -2,22,000.00 depreciation $     -47,000.00 $     -89,000.00 Fixed out of pocket expenses $     -83,000.00 $     -66,000.00 Net Income $       78,000.00 $   1,03,000.00 Add: depreciation $       47,000.00 $       89,000.00 Net cash flow $   1,25,000.00 $   1,92,000.00
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