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Rothschild–Stiglitz's definition of increasing risk and the relationship between volatility and risk premium
Author(s) -
Kanniainen Juho
Publication year - 2006
Publication title -
review of financial economics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 41
eISSN - 1873-5924
pISSN - 1058-3300
DOI - 10.1016/j.rfe.2006.10.001
Subject(s) - rothschild , economics , volatility (finance) , econometrics , capital asset pricing model , risk premium , portfolio , financial economics , archaeology , history
This paper analyzes the relationship between volatility and risk premium under the capital asset pricing model and Rothschild and Stiglitz's [Rothschild, M. and J.E. Stiglitz. (1970) Increasing risk I: a definition. Journal of Economic Theory, 2, 225–243.] definition of increasing risk. Especially examined are the conditions of the widely used assumption of constant correlation, which results in a linear relationship. Though both the above model and definition are widely known and accepted, their compatibility has remained unclear in the literature. According to this paper, they are in harmony with the linear relationship, if the correlation between a stock and the market portfolio is less than 0.7. Otherwise a conflict may arise.