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CHAPTER 13   Financial Management of the Firm and Investment Management   467


                 earnings from investments in securities would likely lead to financial security after
                 about 20 to 30 years. What if their disposable income were $40,000? A 10 percent
                 savings rate per year would mean that they would save and invest $4000 each year.
                 Over 20 years, by investing these savings regularly over time as recommended in
                 Tip 3, this level of investment would yield $229,100. Assuming that the savers paid  total net worth The sum of the market
                 off a home valued at $100,000 over this 20 years and accumulated $20,000 in other  values of all financial and real assets
                                                                                          owned, including cash, bonds, stocks,
                 savings, their total net worth would be around $350,000. If they saved for 40 years  land, buildings, and other property
                 instead of 20 years, their total net worth would rise to $1,770,370  $100,000   diversification Buying different
                 $20,000  $1,890,370. These rough figures reveal that a sure way to earn more is  financial and real assets whose prices
                 simply to save and invest more.                                          or values have different patterns of
                                                                                          movement up and down over time, such
                                                                                          that the total risk or volatility is reduced
                 Tip 5: Diversify Securities.    Diversification is a powerful tool used to  for the entire portfolio of assets
                                       3
                 decrease investment risk. It is important to recognize that diversification cannot
                 increase investment returns, only decrease risk per unit
                 return. Let’s see how diversification works to decrease risk.  EXHIBIT 13.10
                 Exhibit 13.10 shows the same two securities, labeled 1 and  How Diversification Can Reduce Total Risk
                 2, as in Exhibit 13.8. Both securities are fairly risky over  Portfolio P, composed of security 1 plus security 2, has lower risk,
                 time, with security 1 having more volatile price movements  or volatility, than either security alone.
                 over time than security 2. Consider what would happen if
                 we combined these two assets into a portfolio (labeled P).
                 Portfolio P has 50 percent of our money invested in security                                Security 1
                 1 and 50 percent in security 2. The average rate of return is
                 represented by the dark line in Exhibit 13.10. The volatility                               Portfolio P
                 of portfolio P is much less than that of security 1 or security
                 2. Thus, diversification reduces risk.                Rate of return                        Security 2
                    Diversification is more than simply buying different
                 assets. Instead, investors need to purchase assets that have
                 different patterns of returns or prices over time. What if we
                 had a third security, security 3, with the same price pattern
                 over time as security 1? In this case, a portfolio comprising
                                                                             1    2    3    4    5    6
                 securities 1 and 3 would not decrease risk; that is, the aver-
                                                                                     Time (months)
                 age price pattern would look the same as that of security 1.
                 On the other hand, assume that yet another security, security
                 4, had a price pattern that was the exact opposite of security 1.
                 That is, when the price of security 1 rose, the price of security
                 4 would fall by the same amount. If we made a portfolio of
                 securities of 1 and 4, it would look like a flat line, with no price
                 movements at all. In this case diversification would have elim-
                 inated all price risk. To diversify risk means to buy different
                 assets with different patterns of returns or prices over time.


                 Making Investment Choices

                 Market participants have a wide variety of stocks, bonds, and
                 real estate investment opportunities from which to choose.
                 Exhibit 13.11 shows a graph of different stocks (labeled S1, S2,
                 etc.) and long-term bonds (B1, B2, etc.) that an investor can
                 purchase. Using diversification, the investor can combine
                 these assets to form portfolios that have lower risk than the
                 individual assets. The curve labeled EF represents the portfo-
                                                                         Harry Markowitz is seen here in Tokyo in 1990, after hear-
                 lios of stocks and bonds that have the lowest risk. For rational  ing news that he had been awarded the Nobel Prize in Eco-
                 investors who do not like risk (i.e., are risk averse), we can say  nomics for his contributions on investment diversification.


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