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Portfolio Selection with Random Risk Preference
(Englisch)
A mathematical approach to portfolio selection problem concerning random risk tolerance
Turan Bulmus

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Autor/Autorin: Bulmus Turan

Born in Turkey, on August 17, 1984. He graduated from Mathematics Department of Middle East Technical University. He finished his M.Sc degree at Koc University on a research fellowship. Currently he is conducting his PhD studies at Tilburg University, Netherlands. His research interests include empirical asset pricing and portfolio choice.
In this study, I analyzed a single-period portfolio selection problem where the investor maximizes the expected utility of the terminal wealth. The utility function is exponential, but the Pratt-Arrow measure of absolute risk aversion or risk tolerance is random. This is due to the random variations in individual''s decisions concerning stochastic choice. It is well- known that the investor is memoryless in wealth for exponential utility functions with a constant risk tolerance. In other words, the investment portfolio consisting of risky stocks does not depend on the level of wealth. However, it is shown that this is no longer true if risk tolerance is random. A number of interesting characterizations on the structure of the optimal policy are obtained
In this study, I analyzed a single-period portfolio selection problem where the investor maximizes the expected utility of the terminal wealth. The utility function is exponential, but the Pratt-Arrow measure of absolute risk aversion or risk tolerance is random. This is due to the random variations in individual's decisions concerning stochastic choice. It is well- known that the investor is memoryless in wealth for exponential utility functions with a constant risk tolerance. In other words, the investment portfolio consisting of risky stocks does not depend on the level of wealth. However, it is shown that this is no longer true if risk tolerance is random. A number of interesting characterizations on the structure of the optimal policy are obtained
Born in Turkey, on August 17, 1984. He graduated from Mathematics Department of Middle East Technical University. He finished his M.Sc degree at Koc University on a research fellowship. Currently he is conducting his PhD studies at Tilburg University, Netherlands. His research interests include empirical asset pricing and portfolio choice.

Über den Autor

Born in Turkey, on August 17, 1984. He graduated from Mathematics Department of Middle East Technical University. He finished his M.Sc degree at Koc University on a research fellowship. Currently he is conducting his PhD studies at Tilburg University, Netherlands. His research interests include empirical asset pricing and portfolio choice.


Klappentext

In this study, I analyzed a single-period portfolio selection problem where the investor maximizes the expected utility of the terminal wealth. The utility function is exponential, but the Pratt-Arrow measure of absolute risk aversion or risk tolerance is random. This is due to the random variations in individual''s decisions concerning stochastic choice. It is well- known that the investor is memoryless in wealth for exponential utility functions with a constant risk tolerance. In other words, the investment portfolio consisting of risky stocks does not depend on the level of wealth. However, it is shown that this is no longer true if risk tolerance is random. A number of interesting characterizations on the structure of the optimal policy are obtained



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