Asymptotic Multivariate Dominance: A Financial Application

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F16%3A86098330" target="_blank" >RIV/61989100:27510/16:86098330 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s11009-016-9502-y" target="_blank" >http://dx.doi.org/10.1007/s11009-016-9502-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11009-016-9502-y" target="_blank" >10.1007/s11009-016-9502-y</a>

Result language
angličtina
Original language name
Asymptotic Multivariate Dominance: A Financial Application
Original language description
We propose a multivariate stochastic dominance relation aimed at ranking different financial markets/sectors from the point of view of a non-satiable risk averse investor. In particular, we assume that the vector of returns of a given market is in the domain of attraction of a symmetric stable Paretian law in order to take into account the asymptotic behaviour of the financial returns. We determine the stochastic dominance rule for stable symmetric distributions, where the stability parameter plays a crucial role. Consequently, the multivariate rule for ordering markets is based on a comparison between i) location parameters, ii) dispersion parameters, and iii) stability indices. Finally, we apply the method to the equity markets of the four countries with the highest gross domestic product in 2013, namely, the US, China, Japan and Germany. In this empirical comparison we examine the ex ante and ex post dominance between stock markets, either assuming that the returns are jointly (or conditionally, for a robust approach) Gaussian distributed, or in the domain of attraction of a stable sub-Gaussian law. (C) 2016, Springer Science+Business Media New York.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Project
<a href="/en/project/GA15-23699S" target="_blank" >GA15-23699S: Risk Probability Functionals and Ordering Theory Applied to International Financial Markets and Portfolio Selection Problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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