The paper shows that financial market equilibria need not exist if agents possess cumulative prospect theory preferences with piecewise-power value functions. The reason is an infiniteshort-selling problem. But even when a short-sell constraint is added, non-existence can occur due to...

This study investigates loss aversion when the reference point is state-dependent.Using a state-dependent structure, prospects are more attractive if they depend positively on the reference point and are less attractive in case of negative dependence. In addition, the structure is neutral in the...

The prospect theory of Kahneman and Tversky (1979) and the cumulative prospect theory of Tversky and Kahneman (1992) are descriptive models for decision making that summarize several violations of the expected utility theory. This paper gives a survey of applications of prospect theory to the...

In this paper we suggest a behavioral foundation for the reward-risk approach to portfolio selection based on prospect theory. We identify sufficient conditions for mutual fund separation in reward-risk models in general and for prospect theory in particular. It is shown that a prospect theory...

We develop an algorithm to compute asset allocations for Kahneman and Tversky's (1979) prospect theory. An application to benchmark data as in Fama and French (1992) shows that the equity premium puzzle is resolved for parameter values similar to those found in the laboratory experiments of...

We propose an affine term structure model which accommodates non-linearities in the drift and volatility function of the short-term interest rate. Such non-linearities are a consequence of discrete beta-distributed regime shifts constructed on multiple thresholds. We derive iterative closed form...

Starting from the reward-risk model for portfolio selection introduced in De Giorgi (2004), we derive the reward-risk Capital Asset Pricing Model (CAPM) analogously to the classical mean-variance CAPM. The reward-risk portfolio selection arises froman axiomatic definition of reward and risk...