Frahm, Gabriel (2010). Linear statistical inference for global and local minimum variance portfolios. Stat. Pap., 51 (4). S. 789 - 813. NEW YORK: SPRINGER. ISSN 0932-5026

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Abstract

Traditional portfolio optimization has often been criticized for not taking estimation risk into account. Estimation risk is mainly driven by the parameter uncertainty regarding the expected asset returns rather than their variances and covariances. The global minimum variance portfolio has been advocated by many authors as an appropriate alternative to the tangential portfolio. This is because there are no expectations which have to be estimated and thus the impact of estimation errors can be substantially reduced. However, in many practical situations an investor is not willing to choose the global minimum variance portfolio but he wants to minimize the variance of the portfolio return under specific constraints for the portfolio weights. Such a portfolio is called local minimum variance portfolio. Small-sample hypothesis tests for global and local minimum variance portfolios are derived and the exact distributions of the estimated portfolio weights are calculated in the present work. The first two moments of the estimator for the expected portfolio returns are also provided and the presented instruments are illustrated by an empirical study.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Frahm, GabrielUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-492084
DOI: 10.1007/s00362-008-0170-z
Journal or Publication Title: Stat. Pap.
Volume: 51
Number: 4
Page Range: S. 789 - 813
Date: 2010
Publisher: SPRINGER
Place of Publication: NEW YORK
ISSN: 0932-5026
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
ESTIMATION RISK; CONSTRAINTS; SELECTION; WEIGHTS; CHOICE; PERFORMANCE; INEQUALITY; IMPROVE; MODELMultiple languages
Statistics & ProbabilityMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/49208

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