9.1 Basic Time Value Concepts
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how bonds and stocks are valued will be covered. Calculating rates of return is the last topic
in Chapter 10. In Chapter 11, you will focus on the characteristics and operation of primary
and secondary securities markets. Chapter 12, the last chapter in Part 2, will focus on fi nancial
return and risk concepts.
H O W T H I S C H A P T E R A P P L I E S TO M E . . .
You probably have experienced the need to save money to buy an automobile or to pay for
your tuition. Your savings grow more rapidly when you can earn interest on previously
earned interest in addition to interest on the starting amount of your savings. This is known
as compounding and means that the longer you save the faster your savings will grow and the
larger will be your down payment on your automobile purchase or the more money you will
have for your tuition. An understanding of compounding also will be useful to you when
investing in stocks and bonds and planning for eventual retirement.
Most of us would agree that if other things are equal,
More money is better than less money.
Most of us also would agree,
Money today is worth more than the same amount of money received in the future.
Of course, the value of an additional dollar is not necessarily the same for all individuals. For
example, a person subsisting at the poverty level would likely fi nd an added dollar to be worth
more in “economic terms” than would an extra dollar to a millionaire or billionaire. It is probably
safe to say that having an added dollar today has more “economic worth” to you or us than it
would to Bill Gates, the founder and CEO of Microsoft Corporation. At the same time, Bill Gates’
personal desire or drive for accumulating more dollars is likely to be greater than your desire.
This chapter makes no attempt to consider the economic or psychological value of having
more money to a specifi c individual. Rather, it concentrates on the principle of fi nance, initially
presented in Chapter 1, stating that “money has a time value.” The focus here is on how money
can grow or increase over time, as well as how money has a lower worth today if one has to wait
to receive the money sometime in the future. This occurs because one loses the opportunity of
earning interest on the money by not being able to save or invest the money today.
Financial calculators or spreadsheet software programs will perform the calculations and
procedures discussed in this chapter. However, the calculation procedures are fi rst described
in detail to enhance your understanding of the logic involved in the concepts of the time value
of money. By learning to work the problems the “long way” using step-by-step calculations
and following the steps given for fi nancial calculators, spreadsheet programs, and tables-based
calculations should make more sense. Students are encouraged to explore using multiple
problem-solving methods.
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