Utility Functions of Equivalent Form and the Effect of Parameter Changes on Optimum Decision Making
We derive a class of utility functions that are equivalent with respect to a well-defined functional form. We study the case of constant relative risk aversion (of some order) to investigate on different equivalence relations in order to determine the, possibly infinite, number of equivalence classes when utility functions satisfy a specific form. Then we apply our results to standard applications in economics and finance, for example, to the effect of price volatility on optimum hedging.
|Date of creation:||2006|
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- Eckwert, Bernhard, 1993. "Allocative effects of financial assets and the long run neutrality of money when markets are incomplete," European Economic Review, Elsevier, vol. 37(1), pages 75-95, January.
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- Robert Chambers & Rolf Färe & John Quiggin, 2004. "Jointly radial and translation homothetic preferences: generalized constant risk aversion," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(3), pages 689-699, March.
- Broll, Udo & Wahl, Jack E. & Zilcha, Itzhak, 1999. "Hedging exchange rate risk: The multiperiod case," Research in Economics, Elsevier, vol. 53(4), pages 365-380, December.
- Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
- Miles S. Kimball, 1991. "Standard Risk Aversion," NBER Technical Working Papers 0099, National Bureau of Economic Research, Inc.
- Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
- Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, vol. 3(1), pages 66-84, March. Full references (including those not matched with items on IDEAS)
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