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Deterministic Transformations of Random Variables and the Comparative Statics of Risk

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Author Info
Meyer, Jack
Ormiston, Michael B

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Abstract

In this article, a general class of deterministic transformations that can be interpreted as changes in risk are identified. This provides a fourth characterization of a Rothschild-Stiglitz increase in risk. In addition, a particular subclass of these transformations, termed simple transformation, is shown to be well suited for comparative static analyses. This subclass contains as a special case the linear transformation used so often in the literature. A theorem is presented that generalizes the known comparative static results for large as well as small changes in risk. Copyright 1989 by Kluwer Academic Publishers

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Publisher Info
Article provided by Springer in its journal Journal of Risk and Uncertainty.

Volume (Year): 2 (1989)
Issue (Month): 2 (June)
Pages: 179-88
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Handle: RePEc:kap:jrisku:v:2:y:1989:i:2:p:179-88

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Web page: http://www.springerlink.com/link.asp?id=100299

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  3. Ingmar Schumacher & Eric Strobl, 2008. "Economic development and losses due to natural disasters: the role of risk," Working Papers hal-00356286_v1, HAL. [Downloadable!]
  4. Jean Fernand Nguema, 2005. "Stochastic dominance on optimal portfolio with one risk-less and two risky assets," Economics Bulletin, Economics Bulletin, vol. 7(7), pages 1-7. [Downloadable!]
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