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CHAPTER 13   Financial Management of the Firm and Investment Management   451


                 cent if they were given the $100 million to invest in securities in the financial mar-
                 ketplace. Remember that the goal of any firm is to increase the value of shareholder
                 wealth. If shareholders demanded 15 percent as a minimum rate of return, then the
                 project should earn at least this much. This alternative rate of return of 15 percent is
                 referred to as the opportunity cost of the investment funds, that is, the rate of return  opportunity cost The alternative rate of
                 that could be earned by investing in something other than the new television. Using  return that can be earned by an investor
                                                                                          if a security or investment project is not
                 15 percent as the rate of return in the denominator of our equation, we get  selected
                              Present value of net profit  $120 million/(1  0.15)
                                                     $104.35 million

                    The 15 percent opportunity cost is used here as the discount rate to convert
                 future values to present values. Another term for the opportunity cost is the
                 required rate of return that shareholders demand as a minimum rate of return on  required rate of return The opportunity
                 an investment. Now we can get the expected economic profit of this investment  cost that investors demand as a
                                                                                          minimum rate of return on their
                 project.
                                                                                          investment
                     Net present value (NPV)  present value of cash flows – investment cost  net present value (NPV) The net profit
                                           $104.35 million – $100 million  $4.35 million  on a product or service of a firm
                                                                                          calculated as the present value of cash
                                                                                          flows minus the cost of the investment
                 where cash flows are defined as net profit here. This capital budgeting analysis
                 reveals that the project is acceptable. Because the net present value is greater than
                 zero, it will increase shareholder wealth. If the NPV were zero, the project would still
                 be acceptable to shareholders, as it would earn 15 percent, which is the opportunity
                 cost to shareholders of using the $100 million to invest in securities. If the NPV were
                 negative, it would have a negative economic profit and, therefore, would reduce the
                 value of the firm’s stock price. For a more detailed capital budgeting example in
                 which the project has a life of more than one year, see the box “Capital Budgeting
                 Decisions for Multiple-Year Investments.”
                    Sony borrowed $100 million to build a new television and expected that on
                 average it would earn a net profit of $120 million one year from now. But Sony’s
                 total return on this investment will not be equal to the $20 million accounting
                 profits. Instead, due to discounting future net profits at the opportunity cost of
                 capital (the minimum required rate of return of shareholders), the net present
                 value reveals that Sony will earn only $4.35 million. While still profitable in eco-
                 nomic terms, the project is less profitable than accounting profits would suggest.
                    These capital budgeting principles can be applied to any investment project  EXHIBIT 13.5
                 that a firm is considering. Normally, firms have a variety of projects that they are
                                                                                          Selecting Acceptable Capital
                 evaluating. Projects can be ranked by their NPVs. Again, all NPVs greater than or
                                                                                          Budgeting Projects
                 equal to zero are feasible, or acceptable, investments.
                 Those projects with NPVs less than zero are not feasible     Project 1
                 and should be rejected. Exhibit 13.5 reviews capital budg-  200
                 eting principles. Six projects are ranked by the present           Project 2
                 value of their cash flows. It is assumed that the investment  160         Project 3
                 cost is $100 for each project. Exhibit 13.5 shows which  130
                 projects are acceptable and which should be rejected. Now  Present value of future cash flows ($)  100  Investment cost  Project 4
                 it is up to financial managers to raise the money needed to                           Project 5
                 finance the investment cost of the feasible projects.     70
                                                                                                              Project 6
                                                                           30
                   reality      Assume that you are assigned to do a net
                  CH ECK        present value analysis of an investment proj-   Ranking of projects from highest to lowest
                                ect for a firm. What data do you think would
                                                                          Acceptable projects:  Rejected projects:
                                be the most difficult to obtain?          Net present value ≥ 0  Net present value < 0


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