Investments, tenth edition



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 The Capital Asset 

Pricing Model 

   CHAPTER NINE 

     9.1 

The Capital Asset Pricing Model  

 The capital asset pricing model is a set of predictions concerning equilibrium expected 

returns on risky assets. Harry Markowitz laid down the foundation of modern portfolio 

management in 1952. The CAPM was published 12 years later in articles by William 

Sharpe,  

1

    John  Lintner,  



2

   and Jan Mossin.  

3

   The time for this gestation indicates that the 



leap from Markowitz’s portfolio selection model to the CAPM is not trivial.  

 Shooting straight to the heart of the CAPM, suppose all investors optimized their port-

folios á la Markowitz. That is, each investor uses an input list (expected returns and covari-

ance matrix) to draw an efficient frontier employing all available risky assets and identifies 

an efficient risky portfolio,  P,  by drawing the tangent CAL (capital allocation line) to the 

frontier as in  Figure 9.1 , panel A (which is just a reproduction of Figure 7.11). As a result, 

each investor holds securities in the investable universe with weights arrived at by the 

Markowitz optimization process.  

1

 William Sharpe, “Capital Asset Prices: A Theory of Market Equilibrium,”  Journal of Finance,  September 1964. 



2

 John Lintner, “The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and 

Capital Budgets,”  Review of Economics and Statistics,  February 1965. 

3

 Jan Mossin, “Equilibrium in a Capital Asset Market,”  Econometrica,  October 1966. 



 P

AR



T III 

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6/21/13   3:39 PM

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292

P A R T   I I I

  Equilibrium in Capital Markets

 

The CAPM asks what would 



happen if all investors shared an 

identical investable universe and 

used the same input list to draw 

their efficient frontiers. Obviously, 

their efficient frontiers would be 

identical. Facing the same risk-free 

rate, they would then draw an iden-

tical tangent CAL and naturally 

all would arrive at the same risky 

portfolio,  



P. 

 All investors there-

fore would choose the same set of 

weights for each risky asset. What 

must be these weights? 

 A key insight of the CAPM is 

this: Because the market portfolio 

is the aggregation of all of these 

identical risky portfolios, it too will 

have the same weights. Therefore, 

if all investors choose the same 

risky portfolio, it must be the  mar-



ket 

 portfolio, that is, the value-

weighted portfolio of all assets in 

the investable universe. Therefore, 

the capital allocation line based 

on each investor’s optimal risky 

portfolio will in fact also be the 

capital  market  line, as depicted in 

 

Figure  9.1 



, panel B. This impli-

cation will allow us to say much 

about the risk–return trade-off.  


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