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446     PART 5  Finance


                                        It is generally true that capital budgeting decisions are separate from financing
                                     decisions. That is, financial managers initially select the investment projects with
                                     highest potential economic value. Other managers raise required funds needed to
                                     purchase assets, pay for labor, and cover other investment costs. If earnings from an
                                     investment project exceed its costs, it is considered a feasible investment project
                                     that will increase economic profits and related share values.
                                        A crucial aspect of this kind of capital budgeting analysis that complicates mat-
                                     ters is that earnings and costs normally occur over time. How do we compare the total
                                     earnings and total costs in this case? Do we simply add up the earnings over time and
                                     do the same for costs? As we will see in the next section, simply adding up the earn-
                                     ings and costs over time does not consider that fact that the value of money changes
                                     over time. Let’s take a closer look at the relationship between money and time.

                                        reality      If you were offered stock options for excellent job performance at a
                                      CH ECK         company, would you work harder than otherwise?


                                     Time Value of Money and Interest Rates


                                        LEARNING OBJECTIVE 2
                                        Use the time value of money to differentiate between present values and future
                                        values of money.
                                     Money is worth less tomorrow than it is today. The main reason is that inflation
                                     causes goods and services to cost more tomorrow than they do today. In 1960, you
                                     could buy a McDonald’s hamburger for 25 cents. Today, the price of the same ham-
                                     burger is about 80 cents. Rising costs of food, labor, equipment, land, buildings, and
                                     so on, have caused the price of a hamburger to increase. Another reason that
                                     money declines in value over time is that people would rather spend it now than
                                     later. Suppose you were given a choice between a dollar received today and a dollar
                                     received one year from now. If there were no inflation over the next year, which dol-
                                     lar would you want? Most people would say that the dollar today is worth more to
                                     them than the dollar tomorrow. If they had the dollar today, they would have more
                                     options for spending the money than if they received the dollar in one year. The dif-
                                     ference in the values of the dollar in this case is due to the time preference for con-
                                     sumption. Simply put, people prefer to consume now rather than later, all else
                                     being the same.
                                        Now consider the situation that arises when one person wants to borrow money
                                     from another person. The lender transfers money to the borrower and gives up
                                     some current consumption. The lender can only use the money for consumption in
        time preference for consumption The  the future, after the borrower repays the loan. Due to the lender’s time preference
        desire by people to consume goods and  for consumption, the borrower must pay the lender an additional amount called
        services now rather than in the future
                                     interest as compensation for the declining time value of the money. Suppose $100
        interest The amount that a borrower
        must pay a lender in addition to the  is borrowed for one year, there is no inflation, and the interest charged by the lender
        principal value, as compensation for the  is $2, due to the time preference for consumption. In this case the rate of interest is
        declining time value of money  2 percent ($2/$100  0.02), which is known as the real rate of interest. The real rate
        real rate of interest The interest rate  of interest is known to be fairly constant over time, as the time preference for
        charged by lenders on loans to  consumption does not change much over time.
        borrowers for forgoing present
        consumption for future consumption  The lender still has the problem of inflation decreasing the purchasing power of
                                     his or her money over time. When he or she later gets the money back from the bor-
                                     rower, the lender faces the problem that the money will buy less than before. Prices
                                     of goods and services generally rise over time. As protection against inflation—the
                                     rising prices of goods and services—the lender will demand additional interest from
                                     the borrower. This rate of interest will be equal to the expected rate of inflation over

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