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

ID: 2424734 • 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 24% each of the last three years. He has computed the cost and revenue estimates for each product as follows:

  

  

  Use this chart to solve

  

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 24% each of the last three years. He has computed the cost and revenue estimates for each product as follows:

Explanation / Answer

1) Payback Period

Foor product A

Payback period = Cash outflow or Initial Investment/ Cash inflows per year

Cash inflow per year = Sales Revenue - Variable expense - Fixed cost = 370,000-168000-82000 = $120,000

Cash ouflow = $330,000

Therefore payback period = 330,000/120,000 = 2.75

For Product B

Cash inflow per year = 470,000-218,000-88,000 = $164,000

Cash outflow = $515,000

Therefore payback period = 515,000/164,000 = 3.14

2) Net present value

For product A

Cash Inflow per year (as calculated in part a) = $120,000

Present value of cash inflows = Cash Inflow {(1+i)^n-1}/i(1+i)^n = 120,000{(1+0.15)^5-1}/0.15(1+0.15)^5

= $402,258.61

Cash Outflow = $330,000

Therefore, Net Present value = Present value of cash inflows - cash outflow

= 402,258.61-330,000 = $72,258.61

For Product B

Cash inflow as per part 1 = $164,000

Cash outlow = $515,000

Net present value of cash inflows

Cash Inflow {(1+i)^n-1}/i(1+i)^n = 164,000{(1+0.15)^n-1}/0.15(1+0.15)^5

= $549,728

Therefore, Net Present value = Present value of cash inflows - cash outflow

= 549,728-515,000 = $34,728

4) Project profitability Index

For project A

Profitability index = P.V. of cash inflows(as calculated in part 2)/Initial investment = 402,258.61/330,000 = 1.219

For poject B

Profitability index = P.V. of cash inflows(as calculated in part 2)/Initial investment = 549,728/515,000 = 1.067

5) Simple rate of return

For project A

Simple rate of return = Cash inflow per year / Initial Investment*100 = 120,000/330,000*100 = 36.4%

For project B

Simple rate of return = Cash inflow per year / Initial Investment*100 = 164,000/515,000*100 = 31.8%

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