The Mathematics of Financial Modelingand Investment Management

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17-Capital Asset Pricing Model Page 511 Wednesday, February 4, 2004 1:10 PM


CHAPTER

17


Capital Asset


Pricing Model


T


he mean-variance approach to portfolio selection and its generaliza-
tions require a model for variance and expected returns to feed to the
optimizer. Asset price and/or return models belong to three different
families:

■ General Equilibrium Theories. These determine price processes as the
equilibrium between demand and supply of markets populated by eco-
nomic agents whose behavior is known. General equilibrium theories
are therefore truly economic theories based on specific assumptions on
the behavior of agents. The following models are general equilibrium
models: CAPM, Conditional CAPM, multifactor CAPM, and Con-
sumption CAPM.
■ Arbitrage Pricing Models. Arbitrage pricing is relative pricing inso-
far as the prices and therefore the returns of a set of assets depend
on another set of processes. Arbitrage pricing was discussed in
Chapters 14 and 15.
■ Econometric Models. These are statistical models of prices or returns.
They model prices or returns as endogenous phenomena and/or
establish links between prices and returns and exogenous variables.
The justification of econometric models is empirical, that is, they are
valid insofar as they fit empirical data. They are not derived from eco-
nomic theory although economic theory might suggest econometric
models. For example, Markov switching models are rooted in the the-
ory of economic cycles.

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