Question

Lou Barlow, a divisional manager for Sage Company, has an opportunity to manufacture and sell one of two new products for a f

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EXHIBIT 128-2 Present Value of an Annuity of S1 in Arrears: 1 CD 00 Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17%

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hi, can you please help me with required 1 through 6B. thanks and have a great day

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Answer #1

Project A:

Initial Investment = $250,000

Net Income = Sales Revenues - Variable Expenses - Depreciation Expenses - Fixed out-of-pocket Operating Costs
Annual Net Income = $300,000 - $135,000 - $50,000 - $75,000
Annual Net Income = $40,000

Annual Net Cash flows = Annual Net Income + Depreciation
Annual Net Cash flows = $40,000 + $50,000
Annual Net Cash flows = $90,000

Project B:

Initial Investment = $460,000

Net Income = Sales Revenues - Variable Expenses - Depreciation Expenses - Fixed out-of-pocket Operating Costs
Annual Net Income = $400,000 - $190,000 - $92,000 - $55,000
Annual Net Income = $63,000

Annual Net Cash flows = Annual Net Income + Depreciation
Annual Net Cash flows = $63,000 + $92,000
Annual Net Cash flows = $155,000

Answer 1.

Project A:

Payback Period = Initial Investment / Annual Net Cash flows
Payback Period = $250,000 / $90,000
Payback Period = 2.78 years

Project B:

Payback Period = Initial Investment / Annual Net Cash flows
Payback Period = $460,000 / $155,000
Payback Period = 2.97 years

Answer 2.

Project A:

Net Present Value = -$250,000 + $90,000 * PVA of $1 (18%, 5)
Net Present Value = -$250,000 + $90,000 * 3.127
Net Present Value = $31,430

Project B:

Net Present Value = -$460,000 + $155,000 * PVA of $1 (18%, 5)
Net Present Value = -$460,000 + $155,000 * 3.127
Net Present Value = $24,685

Answer 3.

Project A:

Let IRR be i%

$250,000 = $90,000 * PVA of $1 (i%, 5)
PVA of $1 (i%, 5) = 2.778
Using table values, i = 23.4%

So, IRR is 23.4%

Project B:

Let IRR be i%

$460,000 = $155,000 * PVA of $1 (i%, 5)
PVA of $1 (i%, 5) = 2.968
Using table values, i = 20.3%

So, IRR is 20.3%

Answer 4.

Product A:

Profitability Index = Net Present Value / Initial Investment
Profitability Index = $31,430 / $250,000
Profitability Index = 0.13

Product B:

Profitability Index = Net Present Value / Initial Investment
Profitability Index = $24,685 / $460,000
Profitability Index = 0.05

Answer 5.

Project A:

Simple Rate of Return = Annual Net Income / Initial Investment
Simple Rate of Return = $40,000 / $250,000
Simple Rate of Return = 16.0%

Project B:

Simple Rate of Return = Annual Net Income / Initial Investment
Simple Rate of Return = $63,000 / $460,000
Simple Rate of Return = 13.7%

Answer 6-a.

Net Present Value = Project B
Profitability Index = Project A    
Payback Period = Project A
Internal Rate of Return = Project A
Simple Rate of Return = Project A

Answer 6-b.

Based on the simple rate of return, Lou Barlow would not accept any project as simple rate of return is lower than the return on investment.

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