Black-Litterman Model: Practical Asset Allocation Model Beyond Traditional Mean-Variance

by Shuhrat Abdumuminov

Institution: Mälarden University
Year: 2016
Keywords: Black-Litterman Model Practical Asset Allocation Model Beyond Traditional Mean-Variance Portfolio Theory; Natural Sciences; Mathematics; Naturvetenskap; Matematik; Natural Sciences; Mathematics; Probability Theory and Statistics; Naturvetenskap; Matematik; Sannolikhetsteori och statistik; Mathematics/Applied Mathematics; Matematik/tillämpad matematik
Posted: 02/05/2017
Record ID: 2086807
Full text PDF: http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-32427


This paper consolidates and compares the applicability and practicality of Black-Litterman model versus traditional Markowitz Mean-Variance model. Although well-known model such as Mean-Variance is academically sound and popular, it is rarely used among asset managers due to its deficiencies. To put the discussion into context we shed light on the improvement made by Fisher Black and Robert Litterman by putting the performance and practicality of both Black- Litterman and Markowitz Mean-Variance models into test. We will illustrate detailed mathematical derivations of how the models are constructed and bring clarity and profound understanding of the intuition behind the models. We generate two different portfolios, composing data from 10-Swedish equities over the course of 10-year period and respectively select 30-days Swedish Treasury Bill as a risk-free rate. The resulting portfolios orientate our discussion towards the better comparison of the performance and applicability of these two models and we will theoretically and geometrically illustrate the differences. Finally, based on extracted results of the performance of both models we demonstrate the superiority and practicality of Black-Litterman model, which in our particular case outperform traditional Mean- Variance model.