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Homework ×et) Grades. ACTG552.WOT? 2 O Not secure ezto.mheducation.com/hm.tpx ?×

ID: 2436263 • Letter: H

Question

Homework ×et) Grades. ACTG552.WOT? 2 O Not secure ezto.mheducation.com/hm.tpx ?× volue 15.00 points Problem 8-23 Comprehensive Problem [LO8-1 LO8-2, LO8-3, LO8-5, LO8-6] 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) Annual revenues and costs Sales revenues Variable expenses Depreciation expense Fixed out-of-pocket operating costs $260,000S 480,000 $330,000 $152 000 S 52,000 s 78,000 $ 430,000 S 202.000 $ 96.000 $ 58 000 The company's discount rate is 14%. Click here to view Exhibit 88-1 and Exhibit 88-2 to determine the appropriate discount tactor using tables. Required: 1 1. Calculate the payback period for each product, (Round your answers to 2 decimal places.)

Explanation / Answer

1.Payback period for each product:Product A=2.6 years(see working note1)

Product B=2.82 years

Discounted payback period for each product:Product A=3.47 years

Product B=3.85 years

2.Internal Rate of return: Product A=2.6%( see working note 2)

                                             Product B= 2.82%

3.Profitability Index: Product A=1.32(see working note 3)

                                    Product B=1.22

4.Simple Rate of Return: Project A=18.46%(see working note4)

                                            Project B=15.42%

Working Notes:

1)Payback Period: Initial Investment/Cash Inflows per period

       Product A=$260000/$100,000=2.6 years

       Product B=$ 480000/$170000=2.82 years

Discounted Payback Period

Product A(initial investment=$260000)

Year

Cash inflow

Pv factor

Present value

Of cash inflows

Cummulative

Cash Inflows

1

$ 1,00,000

0.877

$ 87700

$ 87700

2

$ 1,00,000

0.769

$ 76900

$ 164600

3

$ 1,00,000

0.675

$ 67500

$ 232100

4

$ 1,00,000

0.592

$ 59200

5

$ 1,00,000

0.519

$ 51900

= 3+27900/59200=3.47 years

Product B(initial investment=$ 480000)

Year

Cash inflow

Pv factor

Present value

Of cash inflows

Cummulative

Cash Inflows

1

$ 1,70,000

0.877

$ 149090

$ 149090

2

$ 1,70,000

0.769

$ 130730

$ 279820

3

$ 1,70,000

0.675

$ 114750

$ 394570

4

$ 1,70,000

0.592

$ 100640

$ 495210

5

$ 1,70,000

0.519

$ 88230

= 3years+85430/100640= 3.85 years.

2) Calculation of Internal Rate of Return

Product A= Net Initial Investment/Annual Cash Inflow

                  = 2,60,000 / $1,00,000=2.6 %

Product B= Net Initial Investment/Annual Cash Inflow

                              = $ 4,80,000/$1,70,000=2.82 %

3)Project Profitability Index=Total present value of cash inflows/Initial Investment

Product A=$ 343308.10/$ 260000=1.32

Product B=$ 583623.76/$ 480000=1.22

4) Simple Rate of Return :Incremental Net Income/Initial Investment

Product A=$48000/$260000=0.1846 i.e 18.46%

Product B=$74000/$480000=0.1542 i.e 15.42 %

Year

Cash inflow

Pv factor

Present value

Of cash inflows

Cummulative

Cash Inflows

1

$ 1,00,000

0.877

$ 87700

$ 87700

2

$ 1,00,000

0.769

$ 76900

$ 164600

3

$ 1,00,000

0.675

$ 67500

$ 232100

4

$ 1,00,000

0.592

$ 59200

5

$ 1,00,000

0.519

$ 51900