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 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)	$	290,000		$	490,000
Annual revenues and costs:
Sales revenues	$	340,000		$	440,000
Variable expenses	$	154,000		$	206,000
Depreciation expense	$	58,000		$	98,000
Fixed out-of-pocket operating costs	$	79,000		$	59,000

The company’s discount rate is 15%.

Click here to view Exhibit 13B-1 and Exhibit 13B-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.

Answer 1

Project A:

Initial Investment = $290,000

Annual Net Income = Sales Revenues - Variable Expenses - Depreciation Expenses - Fixed out-of-pocket Operating Costs
Annual Net Income = $340,000 - $154,000 - $58,000 - $79,000
Annual Net Income = $49,000

Annual Net Cash flows = Annual Net Income + Annual Depreciation
Annual Net Cash flows = $49,000 + $58,000
Annual Net Cash flows = $107,000

Project B:

Initial Investment = $490,000

Annual Net Income = Sales Revenues - Variable Expenses - Depreciation Expenses - Fixed out-of-pocket Operating Costs
Annual Net Income = $440,000 - $206,000 - $98,000 - $59,000
Annual Net Income = $77,000

Annual Net Cash flows = Annual Net Income + Annual Depreciation
Annual Net Cash flows = $77,000 + $98,000
Annual Net Cash flows = $175,000

Answer 1.

Project A:

Payback Period = Initial Investment / Annual Net Cash flows
Payback Period = $290,000 / $107,000
Payback Period = 2.71 years

Project B:

Payback Period = Initial Investment / Annual Net Cash flows
Payback Period = $490,000 / $175,000
Payback Period = 2.80 years

Answer 2.

Project A:

Net Present Value = -$290,000 + $107,000 * PVA of $1 (15%, 5)
Net Present Value = -$290,000 + $107,000 * 3.352
Net Present Value = $68,664

Project B:

Net Present Value = -$490,000 + $175,000 * PVA of $1 (15%, 5)
Net Present Value = -$490,000 + $175,000 * 3.352
Net Present Value = $96,600

Answer 3.

Project A:

Let IRR be i%

$290,000 = $107,000 * PVA of $1 (i%, 5)
PVA of $1 (i%, 5) = 2.710
Using table values, i = 24.6%

So, IRR is 24.6%

Project B:

Let IRR be i%

$490,000 = $175,000 * PVA of $1 (i%, 5)
PVA of $1 (i%, 5) = 2.800
Using table values, i = 23.1%

So, IRR is 23.1%

Answer 4.

Product A:

Profitability Index = Net Present Value / Initial Investment
Profitability Index = $68,664 / $290,000
Profitability Index = 0.24

Product B:

Profitability Index = Net Present Value / Initial Investment
Profitability Index = $96,600 / $490,000
Profitability Index = 0.20

Answer 5.

Project A:

Simple Rate of Return = Annual Net Income / Initial Investment
Simple Rate of Return = $49,000 / $290,000
Simple Rate of Return = 16.9%

Project B:

Simple Rate of Return = Annual Net Income / Initial Investment
Simple Rate of Return = $77,000 / $490,000
Simple Rate of Return = 15.7%