Normality assumptions and risk management: an application of the parametric var via goodness-of-fit test

Given the weaknesses of the parametric VaR (Value-at-Risk) calculated by normality assumptions, this paper develops a method of parametric VaR calculation considering ten different probability distributions. Specifically, the distribution to be used for the VaR calculation of a specific asset or por...

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Main Authors: Herick Fernando Moralles, Alexandre Sartoris Neto, Daisy Aparecida do Nascimento Rebelatto
Format: Article
Language:English
Published: Universidade Federal de Santa Catarina 2014-05-01
Series:Revista Produção Online
Subjects:
Online Access:http://producaoonline.org.br/rpo/article/view/1130
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author Herick Fernando Moralles
Alexandre Sartoris Neto
Daisy Aparecida do Nascimento Rebelatto
author_facet Herick Fernando Moralles
Alexandre Sartoris Neto
Daisy Aparecida do Nascimento Rebelatto
author_sort Herick Fernando Moralles
collection DOAJ
description Given the weaknesses of the parametric VaR (Value-at-Risk) calculated by normality assumptions, this paper develops a method of parametric VaR calculation considering ten different probability distributions. Specifically, the distribution to be used for the VaR calculation of a specific asset or portfolio is indicated by the Kolmogorov-Smirnov goodness-of-fit test. Additionally, the study compares the normality assumptions applicability for the VaR calculation of both individual assets, and to a large portfolio, in the context of market stability. The experiment makes use of a sample of 15 individual assets traded in the Sao Paulo Stock Exchange and the IBOVESPA index, collected in the Economática® database. The goodness-of-fit tests and VaR calculations are performed by a program developed in MATLAB7.1®. This investigation demonstrates that the assumption of normality brings good risk estimates for large portfolios and individual assets.
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spelling doaj.art-acdb61f7ad214bf79bd3bb2196755c742022-12-22T01:29:03ZengUniversidade Federal de Santa CatarinaRevista Produção Online1676-19012014-05-0114243044710.14488/1676-1901.v14i2.1130601Normality assumptions and risk management: an application of the parametric var via goodness-of-fit testHerick Fernando Moralles0Alexandre Sartoris Neto1Daisy Aparecida do Nascimento Rebelatto2Universidade de São Paulo - USPUniversidade Estadual Paulista júlio de Mesquita Filho - UNESPUniversidade de São Paulo - USPGiven the weaknesses of the parametric VaR (Value-at-Risk) calculated by normality assumptions, this paper develops a method of parametric VaR calculation considering ten different probability distributions. Specifically, the distribution to be used for the VaR calculation of a specific asset or portfolio is indicated by the Kolmogorov-Smirnov goodness-of-fit test. Additionally, the study compares the normality assumptions applicability for the VaR calculation of both individual assets, and to a large portfolio, in the context of market stability. The experiment makes use of a sample of 15 individual assets traded in the Sao Paulo Stock Exchange and the IBOVESPA index, collected in the Economática® database. The goodness-of-fit tests and VaR calculations are performed by a program developed in MATLAB7.1®. This investigation demonstrates that the assumption of normality brings good risk estimates for large portfolios and individual assets.http://producaoonline.org.br/rpo/article/view/1130VaR (Valor-em-Risco) paramétrico. Normalidade. Kolmogorov-Smirnov.
spellingShingle Herick Fernando Moralles
Alexandre Sartoris Neto
Daisy Aparecida do Nascimento Rebelatto
Normality assumptions and risk management: an application of the parametric var via goodness-of-fit test
Revista Produção Online
VaR (Valor-em-Risco) paramétrico. Normalidade. Kolmogorov-Smirnov.
title Normality assumptions and risk management: an application of the parametric var via goodness-of-fit test
title_full Normality assumptions and risk management: an application of the parametric var via goodness-of-fit test
title_fullStr Normality assumptions and risk management: an application of the parametric var via goodness-of-fit test
title_full_unstemmed Normality assumptions and risk management: an application of the parametric var via goodness-of-fit test
title_short Normality assumptions and risk management: an application of the parametric var via goodness-of-fit test
title_sort normality assumptions and risk management an application of the parametric var via goodness of fit test
topic VaR (Valor-em-Risco) paramétrico. Normalidade. Kolmogorov-Smirnov.
url http://producaoonline.org.br/rpo/article/view/1130
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