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Applications in Finance

Wolfgang Karl Härdle and Zdeněk Hlávka
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Wolfgang Karl Härdle: Humboldt-Universität zu Berlin, C.A.S.E. Centre f. Appl. Stat. & Econ. School of Business and Economics
Zdeněk Hlávka: Charles University in Prague, Faculty of Mathematics and Physics Department of Statistics

Chapter Chapter 19 in Multivariate Statistics, 2015, pp 309-317 from Springer

Abstract: Abstract Multivariate statistical analysis is frequently used in quantitative finance, risk management, and portfolio optimization. A basic rule says that one should diversify in order to spread financial risk. The question is how to assign weights to the different portfolio positions. Here we analyze a so-called mean-variance optimization that leads to weights that minimize risk given a budget constraint. Equivalently, we may optimize the weights of a portfolio for maximal return given a bound on the risk structure. The discussion naturally leads to links to the capital asset pricing model (CAPM).

Keywords: Portfolio Optimization; Variance Matrix; Asset Return; Market Index; Capital Asset Price Model (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-36005-3_19

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DOI: 10.1007/978-3-642-36005-3_19

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