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%0 Thesis
%A Brenner, René
%T Consistency in portfolio optimization : a new approach using the general framework of portfolio theory
%I RWTH Aachen University
%V Dissertation
%C Aachen
%M RWTH-2021-11745
%P 1 Online-Ressource : Illustrationen
%D 2021
%Z Veröffentlicht auf dem Publikationsserver der RWTH Aachen University 2022
%Z Dissertation, RWTH Aachen University, 2021
%X In line with the general framework of portfolio optimization this thesis shows strong consistency of portfolio optimization problems with constrained utility for lower semi-continuous convex (extended) risk and upper semi-continuous concave (extended) utility functions. It also shows measurability of solutions of the empirical optimization problem. Numerical results are presented showing the empirical efficient frontier, i.e. the empirical risk andutility values of numerical solutions to different utility lower bounds µ, for the so called empiricallog-drawdown risk setup. Furthermore, a statistical analysis of consistency of empirical solutions isgiven. These evaluations are done based on real historical market data with the software environment POEM which was designed especially for backtesting portfolio optimizations.
%F PUB:(DE-HGF)11
%9 Dissertation / PhD Thesis
%R 10.18154/RWTH-2021-11745
%U https://publications.rwth-aachen.de/record/837067