12/7/2012

Chapter:

11

Problem:

18

Webmasters.com has developed a powerful new server that would be used for corporations Internet activities. It would cost $10 million at Year 0 to buy the equipment necessary to manufacture the server. The project would require net working capital at the beginning of each year in an amount equal to 10% of the year's projected sales; for example, NWC₀ = 10%(Sales₁). The servers would sell for $24,000 per unit, and Webmasters believes that variable costs would amount to $17,500 per unit. After Year 1, the sales price and variable costs will increase at the inflation rate of 3%. The companys nonvariable costs would be $1 million at Year 1 and would increase with inflation.

The server project would have a life of 4 years. If the project is undertaken, it must be continued for the entire 4 years. Also, the project's returns are expected to be highly correlated with returns on the firm's other assets. The firm believes it could sell 1,000 units per year.

The equipment would be depreciated over a 5-year period, using MACRS rates. The estimated market value of the equipment at the end of the projects 4-year life is $500,000. Webmasters federal-plus-state tax rate is 40%. Its cost of capital is 10% for average-risk projects, defined as projects with a coefficient of variation of NPV between 0.8 and 1.2. Low-risk projects are evaluated with a WACC of 8%, and high-risk projects at 13%.

a. Develop a spreadsheet model, and use it to find the projects NPV, IRR, and payback.

Input Data (in thousands of dollars)

Equipment cost

$10,000

Key Results:

Net operating working capital/Sales

10%

NPV =

First year sales (in units)

1,000

IRR =

Sales price per unit

$24.00

Payback =

Variable cost per unit (excl. depr.)

$17.50

Nonvariable costs (excl. depr.)

$1,000

Market value of equipment at Year 4

$500

Tax rate

40%

WACC

10%

Inflation in prices and costs

3.0%

Estimated salvage value at year 4

$500

Intermediate Calculations

0

1

2

3

4

Units sold

Sales price per unit (excl. depr.)

Variable costs per unit (excl. depr.)

Nonvariable costs (excl. depr.)

Sales revenue

Required level of net operating working capital

Basis for depreciation

$10,000

Annual equipment depr. rate

20.00%

32.00%

19.20%

11.52%

Annual depreciation expense

Ending Bk Val: Cost Accum Dep'rn

$10,000

Salvage value

$500

Profit (or loss) on salvage

Tax on profit (or loss)

Net cash flow due to salvage

Years

Cash Flow Forecast

0

1

2

3

4

Sales revenue

Variable costs

Nonvariable operating costs

Depreciation (equipment)

Oper. income before taxes (EBIT)

Taxes on operating income (40%)

Net operating profit after taxes

Add back depreciation

Equipment purchases

Cash flow due to change in NOWC

Net cash flow due to salvage

Net Cash Flow (Time line of cash flows)

Key Results: Appraisal of the Proposed Project

Net Present Value (at 10%) =

IRR =

MIRR =

Payback =

Data for Payback Years

Years

0

1

2

3

4

Net cash flow

Cumulative CF

Part of year required for payback

b. Now conduct a sensitivity analysis to determine the sensitivity of NPV to changes in the sales price, variable costs per unit, and number of units sold. Set these variables values at 10% and 20% above and below their base-case values. Include a graph in your analysis.

% Deviation

SALES PRICE

Note about data tables. The data in the column input should NOT be input using a cell reference to the column input cell. For example, the base case Sales Price in Cell B86 should be the number $24.00 you should NOT have the formula =D28 in that cell. This is because you'll use D28 as the column input cell in the data table and if Excel tries to iteratively replace Cell D28 with the formula =D28 rather than a series of numbers, Excel will calculate the wrong answer. Unfortunately, Excel won't tell you that there is a problem, so you'll just get the wrong values for the data table!

from

Base

NPV

Base Case

$24.00

-20%

-10%

0%

10%

20%

% Deviation

VARIABLE COST

% Deviation

1st YEAR UNIT SALES

from

Base

NPV

from

Base

NPV

Base Case

$17.50

Base Case

1,000

-20%

-20%

-10%

-10%

0%

0%

10%

10%

20%

20%

Deviation

NPV at Different Deviations from Base

from

Sales

Variable

Base Case

Price

Cost/Unit

Units Sold

-20%

$0

$0

$0

-10%

$0

$0

$0

0%

$0

$0

$0

10%

$0

$0

$0

20%

$0

$0

$0

Range

c. Now conduct a scenario analysis. Assume that there is a 25% probability that best-case conditions, with each of the variables discussed in Part b being 20% better than its base-case value, will occur. There is a 25% probability of worst-case conditions, with the variables 20% worse than base, and a 50% probability of base-case conditions.

Sales

Unit

Variable

Scenario

Probability

Price

Sales

Costs

NPV

Best Case

25%

$28.80

1,200

$14.00

Base Case

50%

$24.00

1,000

$17.50

Worst Case

25%

$19.20

800

$21.00

Expected NPV =

Standard Deviation =

Coefficient of Variation = Std Dev / Expected NPV =

d. If the project appears to be more or less risky than an average project, find its risk-adjusted NPV, IRR, and payback.

CV range of firm's average-risk project:

0.8

to

1.2

Low-risk WACC =

8%

WACC =

10%

High-risk WACC =

13%

Risk-adjusted WACC =

Risk adjusted NPV =

IRR =

Payback =

e. On the basis of information in the problem, would you recommend that the project be accepted?