AbstractsMathematics

Analysis of Copula Opinion Pooling with Applications to Quantitative Portfolio Management

by Rickard Bredeby




Institution: KTH Royal Institute of Technology
Department:
Year: 2015
Keywords: Copula opinion pooling; copulas; t copula; views; tail dependence; maximum likelihood; VaR; ES; mean-ES trade-off; portfolio theory; portfolio management; allocation; kernel estimation; correlation.; Natural Sciences; Mathematics; Mathematical Analysis; Naturvetenskap; Matematik; Matematisk analys; Teknologie masterexamen - Tillämpad matematik och beräkningsmatematik; Master of Science - Applied and Computational Mathematics; Mathematical Statistics; Matematisk statistik
Record ID: 1369883
Full text PDF: http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-168200


Abstract

In 2005 Attilio Meucci presented his article Beyond Black-Litterman : Views on Non-Normal Markets which introduces the copula opinion pooling approach using generic non-normal market assumptions. Copulas and opinion pooling are used to express views on the market which provides a posterior market distribution that smoothly blends an arbitrarily distributed market prior distribution with arbitrarily chosen views. This thesis explains how to use this method in practice and investigates its performance in different investment situations. The method is tested on three portfolios, each showing some different feature. The conclusions that can be drawn are e.g. that the method can be used in many different investment situations in many different ways, implementation and calculations can be made within a few seconds for a large data set and the method could be useful for portfolio managers using mathematical methods. The presented examples together with the method generate reasonable results.