Mean-value at risk portfolio efficiency: approaches based on data envelopment analysis models with negative data and their empirical behaviour
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10323557" target="_blank" >RIV/00216208:11320/16:10323557 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10288-015-0296-5" target="_blank" >http://dx.doi.org/10.1007/s10288-015-0296-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10288-015-0296-5" target="_blank" >10.1007/s10288-015-0296-5</a>
Alternative languages
Result language
angličtina
Original language name
Mean-value at risk portfolio efficiency: approaches based on data envelopment analysis models with negative data and their empirical behaviour
Original language description
We deal with the problem of an investor who is using a mean-risk model for accessing efficiency of investment opportunities. Our investor employs value at risk on several risk levels at the same time which corresponds to the approach called risk shaping. We review several data envelopment analysis (DEA) models which can deal with negative data. We show that a diversification-consistent extension of the DEA models based on a directional distance measure can be used to identify the Pareto-Koopmans efficient investment opportunities. We derive reformulations as chance constrained, nonlinear and mixed-integer problems under particular assumptions. In the numerical study, we access efficiency of US industry representative portfolios based on empirical distribution of random returns. We employ bootstrap and jackknife to investigate the empirical properties of the efficiency estimators.
Czech name
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Czech description
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Classification
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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Result continuities
Project
<a href="/en/project/GBP402%2F12%2FG097" target="_blank" >GBP402/12/G097: DYME-Dynamic Models in Economics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
4OR
ISSN
1619-4500
e-ISSN
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Volume of the periodical
14
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
23
Pages from-to
77-99
UT code for WoS article
000371043600004
EID of the result in the Scopus database
2-s2.0-84959091798