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Journal of Finance Vol. 47 No. 2 1992

Positive Prices in CAPM.

Lars Tyge Nielsen

Abstract

Some equilibrium prices in the capital asset pricing model may be negative because of nonmonotonicity of preferences. The authors identify several sets of sufficient conditions for prices to be positive. The central conditions impose bounds on the investors' risk aversion. These bounds do not need to hold globally but only in a relevant range of portfolios or combinations of mean and standard deviation. The relevant range is specified on the basis of exogenous parameters and variables, and it must contain any endogenously determined equilibrium. The bounds on risk aversion ensure that the preferences for assets are sufficiently well-behaved within the relevant range.

Volume
47
Issue
2
Pages
791-808
Sources
bibtex:phds-export.bib

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