Synopses & Reviews
Synopsis
Excerpt from On Euler-Equation Restrictions on the Temporal Behavior of Asset Returns
Much of the current thinking in finance concerning the pricing of risky assets has its origin in Markowitz's 1952] analysis of the techniques for constructing mean - variance efficient portfolios of those assets. Sharpe Lintner and Mossin 1966] all realized that a market-clearing equilibrium in which investors hold mean-variance efficient portfolios, as they will do if asset returns are normally distributed and/or if their utility functions are quadratic (tobin implies a model for pricing the risk of any individual asset.
Merton 1971] showed that as long as investors can trade frequently, and in the limit continuously, the sharpe-lintner-mossin model holds for 331 concave utility function if asset returns are lognormally distributed. If the distribution of asset returns is not lognormal, but shifts around over time, Merton 1973] extended his analysis to show that the risk of any individual asset can still be priced, for any concave utility function, in terms of a set of mutual funds whose composition does not depend on investor preferences. Ross 1976, 1977] proved that if asset returns are assumed to be generated by a linear factor model, then the risk premium for any asset will be related to its factor risk and non-asset-specific factor risk premiums.
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