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. We would like to thank Bernhard Eckwert and Itzhak Zilcha for constructive comments and suggestions.     

An Exploration of Neo-Austrian Theory Applied to Financial Markets

We attempt to translate Neo-Austrian ideas about the workings of financial markets, as originally advanced by F. A. Hayek, into the standard probabilistic language of modern finance. We focus on an apparent paradox, namely the insistence of Neo-Austrians on order (i.e., stationarity) together with ever-reemerging inefficiencies . The paper's findings have implications beyond Neo-Austrian theory: They demonstrate how easy it is to reject market efficiency, but how much more difficult it is to discern the nature of the inefficiency . We illustrate our findings with price data from the U.S. Treasury bill market over the period 1962 to 1999. There is ample evidence that the price of a three-month Treasury bill is not a random walk, yet the sign of the average price change is erratic, so that inference about the nature of the inefficiency is unreliable.