Portfolio management with higher moments: the cardinality impact
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10316/45744 https://doi.org/10.1111/itor.12404. |
Resumo: | This paper extends the study of the cardinality impact on portfolio performance, from the traditional mean-variance framework to more general frameworks that include higher moments. For each framework, we propose a biobjective model that allows the investor to explicitly analyze the efficient trade-off between expected utility and cardinality. We applied the proposed methodology to data from the Portuguese Stock Index (PSI20 index). The empirical results show that, in-sample, the certainty equivalent and the Sharpe ratio increase with the cardinality level in all frameworks. The results also suggest that there are no performance gains, in-sample, in terms of certainty equivalent, when higher moments are considered. Out of sample, the turnover increases up to a certain cardinality level, then decreases. For certain cardinality levels, there are gains in terms of out-of-sample certainty equivalent and Sharpe ratio, when skewness and kurtosis are considered. Finally, we check the robustness of these results in a large dataset from the EUROSTOXX50 index. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository_id_str |
7160 |
spelling |
Portfolio management with higher moments: the cardinality impactportfolio managementcardinalityexpected utility maximizationCRRA preferencesderivative-free optimizationPSI20 indexThis paper extends the study of the cardinality impact on portfolio performance, from the traditional mean-variance framework to more general frameworks that include higher moments. For each framework, we propose a biobjective model that allows the investor to explicitly analyze the efficient trade-off between expected utility and cardinality. We applied the proposed methodology to data from the Portuguese Stock Index (PSI20 index). The empirical results show that, in-sample, the certainty equivalent and the Sharpe ratio increase with the cardinality level in all frameworks. The results also suggest that there are no performance gains, in-sample, in terms of certainty equivalent, when higher moments are considered. Out of sample, the turnover increases up to a certain cardinality level, then decreases. For certain cardinality levels, there are gains in terms of out-of-sample certainty equivalent and Sharpe ratio, when skewness and kurtosis are considered. Finally, we check the robustness of these results in a large dataset from the EUROSTOXX50 index.Support for Rui Pedro Brito author was provided by FCT under the scholarship SFRH/BD/94778/2013.Wiley2017-03-17info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/45744http://hdl.handle.net/10316/45744https://doi.org/10.1111/itor.12404.eng0969-6016http://dx.doi.org/10.1111/itor.12404Brito, Rui PedroSebastião, HélderGodinho, Pedroinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2020-05-25T02:21:56Zoai:estudogeral.uc.pt:10316/45744Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:49:50.833710Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Portfolio management with higher moments: the cardinality impact |
title |
Portfolio management with higher moments: the cardinality impact |
spellingShingle |
Portfolio management with higher moments: the cardinality impact Brito, Rui Pedro portfolio management cardinality expected utility maximization CRRA preferences derivative-free optimization PSI20 index |
title_short |
Portfolio management with higher moments: the cardinality impact |
title_full |
Portfolio management with higher moments: the cardinality impact |
title_fullStr |
Portfolio management with higher moments: the cardinality impact |
title_full_unstemmed |
Portfolio management with higher moments: the cardinality impact |
title_sort |
Portfolio management with higher moments: the cardinality impact |
author |
Brito, Rui Pedro |
author_facet |
Brito, Rui Pedro Sebastião, Hélder Godinho, Pedro |
author_role |
author |
author2 |
Sebastião, Hélder Godinho, Pedro |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Brito, Rui Pedro Sebastião, Hélder Godinho, Pedro |
dc.subject.por.fl_str_mv |
portfolio management cardinality expected utility maximization CRRA preferences derivative-free optimization PSI20 index |
topic |
portfolio management cardinality expected utility maximization CRRA preferences derivative-free optimization PSI20 index |
description |
This paper extends the study of the cardinality impact on portfolio performance, from the traditional mean-variance framework to more general frameworks that include higher moments. For each framework, we propose a biobjective model that allows the investor to explicitly analyze the efficient trade-off between expected utility and cardinality. We applied the proposed methodology to data from the Portuguese Stock Index (PSI20 index). The empirical results show that, in-sample, the certainty equivalent and the Sharpe ratio increase with the cardinality level in all frameworks. The results also suggest that there are no performance gains, in-sample, in terms of certainty equivalent, when higher moments are considered. Out of sample, the turnover increases up to a certain cardinality level, then decreases. For certain cardinality levels, there are gains in terms of out-of-sample certainty equivalent and Sharpe ratio, when skewness and kurtosis are considered. Finally, we check the robustness of these results in a large dataset from the EUROSTOXX50 index. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-03-17 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10316/45744 http://hdl.handle.net/10316/45744 https://doi.org/10.1111/itor.12404. |
url |
http://hdl.handle.net/10316/45744 https://doi.org/10.1111/itor.12404. |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0969-6016 http://dx.doi.org/10.1111/itor.12404 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Wiley |
publisher.none.fl_str_mv |
Wiley |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799133778586632193 |