Risk management and asset pricing benefit from simple functional descriptions of the distribution of real asset returns. Recently, several authors have proposed that asset returns in real stock markets are distributed according to a hyperbolic distribution. While asset returns are generated by...

We consider optimization problems for minimizing conditional value atrisk (CVaR) from a computational point of view, with an emphasis on financial applications. As a general solution approach, we suggest to reformulate these CVaR optimization problems as twostage recourse problems of stochastic...

This paper analyzes the important time variation in U.S. aggregate portfolio allocations. To do so, we first use flexible descriptions of preferences and investment opportunities to derive optimal decision rules that nest tactical, myopic, and strategic portfolio allocations. We then compare...

We study the dynamic utility indifference value process p(X) when the usefulness of X is evaluated via a dynamic monetary concave utility functional (DMCUF) instead of von Neumann/Morgenstern expected utility. A DMCUF is minus a dynamic convex risk measure. The key tools for our investigations...

Von Neumann’s [60] model of an expanding economy, generalized by Gale [30],was one of the first models in Mathematical Economics that served as thebasis for a rich and interesting theory. This theory was developed for the mostpart in the 1950s and 1960s. Substantial contributions to it were...

Inspired by findings of lowdimensional nonlinearities and the Theorem of Takens (1983) forecasting models of financial time series are often built upon nonparametric, i.e. universal nonlinear, univariate relationships. Empirical investigations, however, are seriously contaminated by the problem...

This paper proposes a Kolmogorov-type test for the shortfall order (also known in the literature as the right-spread or excess-wealth order) against parametric alternatives. In the case of the null hypothesis corresponding to the Negative Exponential distribution, this provides a test for the...

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...

In this paper we propose analytical approximations for computing implied volatilities when time-to-maturity t is small. The analysis is performed in the framework of a two-factor model with local and stochastic volatility. We describe an algorithm for building the power series approximation of...

This note shows that an investor who does not hold positive amounts of all available assets is eventually overtaken by a completely diversified rival investor.