Patterns of skewness risk

Detalhes bibliográficos
Autor(a) principal: Alberto, Daniela Sofia dos Santos
Data de Publicação: 2021
Tipo de documento: Dissertação
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10071/24195
Resumo: The Skewed Generalised t (SGT), which has a bell shape, is more suitable to reflect market returns behaviour and its extreme drops and rises than the Normal distribution. This distribution is efficient in following the empirical distributions of financial returns, as it may incorporate high values of skewness and kurtosis, typically ignored by the normal distribution. This dissertation contributes to the investigation on skewness present in financial returns, by using stock indices as the object of analysis. The study focuses on identifying patterns of skewness in distributions with different time windows, time periods and frequencies. For the analysis, we use the SGT distribution, a five-parameter distribution initially introduced by Theodossiou (1998), to reflect the empirical distribution of returns into a parameterized distribution. To this end, the leading indices of the most traded currencies in the world were considered: FTSE 100, DAX 30, S&P 500 and Nikkei 225. The achieved results validate the hypothesis that the financial returns show a negative asymmetry, confirming that the SGT fits the empirical distribution better than the Normal distribution does. These outcomes are uplifting to use the SGT in parametric terms to estimate the Value at Risk (VaR) and future financial methodologies.
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spelling Patterns of skewness riskSkewnessValue at RiskMarket riskSkewed Generalized t distributionGeneralised ParetoThe Skewed Generalised t (SGT), which has a bell shape, is more suitable to reflect market returns behaviour and its extreme drops and rises than the Normal distribution. This distribution is efficient in following the empirical distributions of financial returns, as it may incorporate high values of skewness and kurtosis, typically ignored by the normal distribution. This dissertation contributes to the investigation on skewness present in financial returns, by using stock indices as the object of analysis. The study focuses on identifying patterns of skewness in distributions with different time windows, time periods and frequencies. For the analysis, we use the SGT distribution, a five-parameter distribution initially introduced by Theodossiou (1998), to reflect the empirical distribution of returns into a parameterized distribution. To this end, the leading indices of the most traded currencies in the world were considered: FTSE 100, DAX 30, S&P 500 and Nikkei 225. The achieved results validate the hypothesis that the financial returns show a negative asymmetry, confirming that the SGT fits the empirical distribution better than the Normal distribution does. These outcomes are uplifting to use the SGT in parametric terms to estimate the Value at Risk (VaR) and future financial methodologies.É convenientemente assumida a distribuição Normal como representante do comportamento de retornos de ativos e de índices. No entanto, a Skewed Generalised t (SGT), tendo também uma forma de sino, consegue refletir melhor o mercado e as quedas e aumentos extremos. A SGT tem a capacidade de acompanhar a distribuição empírica quando mostra altos valores de enviasamento e de curtose, os quais são ignorados quando se utiliza uma distribuição Normal. Esta tese contribuiu para a investigação sobre os padrões de enviesamento da distribuição real das rendibilidades de ativos financeiro, utilizando séries de índices de ações como objeto de análise. O trabalho realizado analisa os padrões de enviesamento das distribuições relativas a diferentes horizontes temporais, períodos e frequências. Para o efeito, consideramos a distribuição SGT, uma distribuição de cinco parâmetros inicialmente introduzida por Theodossiou (1998), para fazer o enquadramento da distribuição empírica dos retornos financeiros a uma distribuição parametrizada. Para tal, foram considerados índices dos principais mercados de ações no mundo: FTSE 100, Dax 30, S&P 500 e o Nikkei 225; com base no número de empresas cotadas. Os resultados obtidos validam a hipótese de que os retornos financeiros apresentam efetivamente enviesamento para o lado esquerdo, confirmando que a SGT supera a Normal em termos da capacidade em seguir o comportamento da distribuição empírica. Estes resultados são encorajadores para encarar a SGT em termos paramétricos na estimação do Value at Risk (VaR) e futuras metodologias financeiras.2022-01-20T10:58:13Z2021-12-17T00:00:00Z2021-12-172021-11info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfhttp://hdl.handle.net/10071/24195TID:202840395engAlberto, Daniela Sofia dos Santosinfo: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:RCAAP2023-11-09T17:35:09Zoai:repositorio.iscte-iul.pt:10071/24195Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:15:54.218379Repositório 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 Patterns of skewness risk
title Patterns of skewness risk
spellingShingle Patterns of skewness risk
Alberto, Daniela Sofia dos Santos
Skewness
Value at Risk
Market risk
Skewed Generalized t distribution
Generalised Pareto
title_short Patterns of skewness risk
title_full Patterns of skewness risk
title_fullStr Patterns of skewness risk
title_full_unstemmed Patterns of skewness risk
title_sort Patterns of skewness risk
author Alberto, Daniela Sofia dos Santos
author_facet Alberto, Daniela Sofia dos Santos
author_role author
dc.contributor.author.fl_str_mv Alberto, Daniela Sofia dos Santos
dc.subject.por.fl_str_mv Skewness
Value at Risk
Market risk
Skewed Generalized t distribution
Generalised Pareto
topic Skewness
Value at Risk
Market risk
Skewed Generalized t distribution
Generalised Pareto
description The Skewed Generalised t (SGT), which has a bell shape, is more suitable to reflect market returns behaviour and its extreme drops and rises than the Normal distribution. This distribution is efficient in following the empirical distributions of financial returns, as it may incorporate high values of skewness and kurtosis, typically ignored by the normal distribution. This dissertation contributes to the investigation on skewness present in financial returns, by using stock indices as the object of analysis. The study focuses on identifying patterns of skewness in distributions with different time windows, time periods and frequencies. For the analysis, we use the SGT distribution, a five-parameter distribution initially introduced by Theodossiou (1998), to reflect the empirical distribution of returns into a parameterized distribution. To this end, the leading indices of the most traded currencies in the world were considered: FTSE 100, DAX 30, S&P 500 and Nikkei 225. The achieved results validate the hypothesis that the financial returns show a negative asymmetry, confirming that the SGT fits the empirical distribution better than the Normal distribution does. These outcomes are uplifting to use the SGT in parametric terms to estimate the Value at Risk (VaR) and future financial methodologies.
publishDate 2021
dc.date.none.fl_str_mv 2021-12-17T00:00:00Z
2021-12-17
2021-11
2022-01-20T10:58:13Z
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TID:202840395
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