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Accounting profit often mixes variables whose timings differ. A sale made today may show up in<br />

today‟s profits, but since the cash receipt for the sale may be deferred, the corresponding cash flow<br />

takes place later. Since the cash flow is deferred, the true value of that sale to the firm is somewhat<br />

diminished.<br />

By focusing on cash flows and when they occur, NPV reflects the true value of increased revenues<br />

and costs. Consequently, NPV analysis requires that accounting data be unraveled to reveal the<br />

underlying cash flows. That is why changes in net working capital must be accounted for and why<br />

depreciation does not show up directly.<br />

Principle No. 2: Use Expected Values<br />

There is always going to be some uncertainty over future cash flows. Future costs and revenues cannot<br />

be known for sure. The analyst must gather as much information as possible and assemble it to<br />

construct expected values of the input variables. Although expected values are not perfect, these best<br />

guesses have to be good enough. What is the alternative? The uncertainty in forecasting the inputs is<br />

accounted for in the discount rate that is later used to discount the expected cash flows.<br />

Principle No. 3: Focus on the Incremental<br />

NPV analysis is done in terms of incremental cash flows—that is, the change in cash flow generated<br />

by the decision to undertake the project. Incremental cash flow is the difference between what the cash<br />

flow would be with the project and what the firm‟s cash flow would be without the project. Any sales<br />

or savings that would have happened without the project and are unaffected by doing the project are<br />

irrelevant and should be ignored. Similarly, any costs that would have been incurred anyway are<br />

irrelevant. It is often difficult (yet nonetheless important) to focus on the incremental when calculating<br />

how cash flows are impacted by opportunity costs, sunk costs, and overhead. These troublesome areas<br />

will be elaborated on next.<br />

Opportunity Costs<br />

Opportunity costs are opportunities for cash inflows that must be sacrificed in order to undertake the<br />

project. No check is written to pay for opportunity costs, but they represent changes in the firm‟s cash<br />

flows caused by the project and must therefore be treated as actual costs of doing the project. For<br />

example, suppose the firm owns a parking lot, and a proposed project requires use of that land. Is the<br />

land free since the firm already owns it? No; if the project were not undertaken, then the company<br />

could sell or rent out the land. Use of the company‟s land is therefore not free. There is an opportunity<br />

cost. Money that could have been earned if the project were rejected will not be earned if the project is<br />

started. In order to reflect fully the incremental impact of the proposed project, the incremental cash<br />

flows used in NPV analysis must incorporate opportunity costs.

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