This study develops and implements a theory and method for analyzing whether introducing new securities or relaxing investment constraints improves the investment opportunity set for risk averse investors. We develop a test procedure for 'stochastic spanning' for two nested polyhedral portfolio...

This study develops and implements a theory and method for analyzing whether introducing new securities or relaxing investment constraints improves the investment opportunity set for risk averse investors. We develop a test procedure for ‘stochastic spanning’ for two nested polyhedral...

We derive a limit theorem for appropriately centered and scaled martingale transforms of the form sum_{i=1}^{n}\xi_{i}V_{i} to mixed-stable limits when (\xi_{i})_{i\in\mathbb{Z}} is an iid sequence in the domain of attraction of an alpha-stable distribution where alpha\in(0,2]. Using the...

This study develops a portfolio optimization method based on the Stochastic Dominance (SD) decision criterion and the Empirical Likelihood (EL) estimation method. SD and EL share a distribution-free assumption framework which allows for dynamic and non-Gaussian multivariate return distributions....

We derive the limit theory of the Gaussian QMLE in a non-stationary Asymmetric GARCH(1,1) model when the squared innovation process lies in the domain of attraction of a stable law. When the stability parameter lies in (1,2], we find regularly varying rates and stable limits for the QMLE of the...

We derive sufficient conditions for non-emptyness of the efficient set for Stochastic Dominance Relations, commonly applied in Economics and Finance, over sets of distributions on the real line. We do so via the use of the concept of stochastic spanning and its characterization via a saddle type...

This study develops and implements methods for analyzing whether introducing new securities or relaxing investment constraints improves the investment opportunity set for risk averse investors. We develop a statistical test procedure for ‘stochastic spanning' for two nested polyhedral...