Question

In: Accounting

Problem 12-23 Comprehensive Problem [LO12-1, LO12-2, LO12-3, LO12-5, LO12-6] Lou Barlow, a divisional manager for Sage...

Problem 12-23 Comprehensive Problem [LO12-1, LO12-2, LO12-3, LO12-5, LO12-6]

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 23% 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) $ 280,000 $ 480,000
Annual revenues and costs:
Sales revenues $ 330,000 $ 430,000
Variable expenses $ 152,000 $ 202,000
Depreciation expense $ 56,000 $ 96,000
Fixed out-of-pocket operating costs $ 78,000 $ 60,000

The company’s discount rate is 14%.

Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor using tables.

Required:

1. Calculate the payback period for each product.

2. Calculate the net present value for each product.

3. Calculate the internal rate of return for each product.

4. Calculate the project profitability index for each product.

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

6a. For each measure, identify whether Product A or Product B is preferred.

6b. Based on the simple rate of return, Lou Barlow would likely:

Solutions

Expert Solution

Product A Product B
1 Payback period =                      2.80           2.86
2 Net Present Value = $             63,300 $ 96,744
3 IRR = 23.1% 22.1%
4 Profitability Index =                      1.23           1.20
5 Simple rate of return = 15.7% 15.0%
6a Net Present Value Profitability Index Payback period IRR
Product B Product A Product A Product A
6b Simple rate of return = Reject Both
Workings:
Product A:
2
Year Value Flows Present Factor @14% Present Value
Initial Cost 0 $       -2,80,000 1 $              -2,80,000
Cash Inflows ($330000-$152000-$78000) 1 - 5 $         1,00,000 3.433 $                3,43,300
Net Present Value $                   63,300
Product B:
Year Value Flows Present Factor @14% Present Value
Initial Cost 0 $       -4,80,000 1 $              -4,80,000
Cash Inflows ($430000-$202000-$60000) 1 - 5 $         1,68,000 3.433 $                5,76,744
Net Present Value $                   96,744
1 Product A:
Payback period = Initial investment / Annual net cash flows
=                      2.80 years
Product B:
Payback period = Initial investment / Annual net cash flows
=                      2.86 years
3 Computation of IRR
Product A:
Year Value Flows
0 $       -2,80,000
1 $         1,00,000
2 $         1,00,000
3 $         1,00,000
4 $         1,00,000
5 $         1,00,000
IRR = 23.1%
Formula =IRR(I15:I20)
Product B:
Year Value Flows
0 $       -4,80,000
1 $         1,68,000
2 $         1,68,000
3 $         1,68,000
4 $         1,68,000
5 $         1,68,000
IRR = 22.1%
Formula =IRR(I15:I20)
4 Product A:
Profitability Index = 1 + (NPV/Initial Investment)
1+($63300/ $280000)
=                      1.23
Product B:
Profitability Index = 1 + (NPV/Initial Investment)
1+($96744 / $480000)
=                      1.20

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