Investments, tenth edition

6

6

  THE PROCESS OF 

constructing an overall 

portfolio requires you to: (1) select the com-

position of the risky portfolio and (2) decide 

how much to invest in it, directing the 

remaining investment budget to a risk-free 

investment. The second step is called  capital 

allocation to risky assets.  

 Clearly, to decide on your capital  allocation 

you need to know the risky portfolio and evalu-

ate its properties. Can the construction of that 

risky portfolio be delegated to an expert? An 

affirmative answer is necessary for a viable 

 investments management industry. A negative 

answer would require every investor to learn and 

implement portfolio management for himself. 

 To understand the existence of a portfolio 

management industry in the face of personal 

investor preferences, we need insight into the 

nature of risk aversion. We characterize a per-

sonal utility function that provides a score for 

the attractiveness of candidate overall portfo-

lios on the basis of expected return and risk. 

By choosing the portfolio with the highest 

score, investors maximize their satisfaction 

with their choice of investments; that is, they 

achieve the optimal allocation of capital to 

risky assets. 

 The utility model also reveals the appropri-

ate objective function for the construction of 

an optimal  risky  portfolio and thus explains 

how an industry can serve investors with 

highly diverse preferences without the need 

to know each of them personally.  

     CHAPTER SIX