Single period Markowitz portfolio selection, performance gauging and duality: a variation on Luenberger's shortage function

Markowitz portfolio theory (1952) has induced research into the efficiency of portfolio management. This paper studies existing nonparametric efficiency measurement approaches for single period portfolio selection from a theoretical perspective and generalises currently used efficiency measures into the full mean-variance space. Therefore, we introduce the efficiency improvement possibility function (a variation on the shortage function), study its axiomatic properties in the context of Markowitz efficient frontier, and establish a link to the indirect mean-variance utility function. This framework allows distinguishing between portfolio efficiency and allocative efficiency. Furthermore, it permits retrieving information about the revealed risk aversion of investors. The efficiency improvement possibility function thus provides a more general framework for gauging the efficiency of portfolio management using nonparametric frontier envelopment methods based on quadratic optimisation.

Análisis Malmquist y DEA intertermporal de las agriculturas de la Unión Europea

En este trabajo se realiza un análisis comparado de dos métodos no paramétricos de medida de productividad total de los factores con datos de panel basados en programación: índices de Malmquist y un modelo DEA intertemporal que permite acotar las medidas de eficiencia y progreso técnico, suponiendo cambio técnico no regresivo. La aplicación se realiza sobre las agriculturas de los países de la Unión Europea, encontrándose algunas diferencias importantes entre ambos enfoques. Los resultados sugieren menor crecimiento de productividad agraria y, sobre todo, una ordenación distinta de países en relación con dichos crecimientos que los encontrados en otros trabajos.

Productividad, competencia e innovación en la banca privada española (1900-1914)

This study investigates the productivity differences and its sourcesacross a set of banks during the last years of the liberal era of theSpanish banking system (1900-1914). These years were characterised bymajor qualitative and quantitative changes in the banking industry includinga sharp increase in the size of the system, in the number of firms, andin its regional distribution. Employing DEA productivity analysis andthe Malmquist index, we discover that these changes were accompanied bya generalised increase in the efficiency of least productive banks. Also,we observe that the crisis of some regional banking groups, like theCatalan, can be linked with its low productivity levels. In consequence,in the light of our productivity evidence, we conclude that the increasein competition was beneficial for the system because helped to the successof the most efficient banks.