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Bayesian inference for the tangent portfolio
Department of Mathematics, Humboldt-University of Berlin, Berlin, Germany.
Department of Mathematics, Stockholm University, Stockholm, Sweden.
Department of Statistics, Lund University, Lund, Sweden.ORCID iD: 0000-0002-1395-9427
Department of Statistics, University of Augsburg, Augsburg, Germany.
2018 (English)In: International Journal of Theoretical and Applied Finance, ISSN 0219-0249, , p. 25Article in journal (Other academic) Accepted
Abstract [en]

In this paper we consider the estimation of the weights of tangent portfolios from the Bayesian point of view assuming normal conditional distributions of the logarithmic returns. For diffuse and conjugate priors for the mean vector and the covariance matrix, we derive stochastic representations for the posterior distributions of the weights of tangent portfolio and their linear combinations. Separately we provide the mean and variance of the posterior distributions, which are of key importance for portfolio selection. The analytic results are evaluated within a simulation study, where the precision of coverage intervals is assessed. 

Place, publisher, year, edition, pages
World Scientific Publishing Co. Pte. Ltd. , 2018. , p. 25
Keywords [en]
Asset allocation, tangent portfolio, Bayesian analysis
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:oru:diva-63496DOI: 10.1142/S0219024918500541OAI: oai:DiVA.org:oru-63496DiVA, id: diva2:1168297
Available from: 2017-12-20 Created: 2017-12-20 Last updated: 2018-11-08Bibliographically approved

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Mazur, Stepan

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