Pair trading in Bovespa with a quantitative approach: cointegration, Ornstein-Uhlenbeck equation and Kelly criterion.

Pair trading is an old and well-known technique among traders. In this paper, we discuss an important element not commonly debated in Brazil: the cointegration between pairs, which would guarantee the spread stability. We run the Dickey-Fuller test to check cointegration, and then compare the result...

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Detalhes bibliográficos
Autor: Teixeira, Ariel Amadeu Edwards
Formato: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2014
País:Brasil
Recursos:Fundação Getulio Vargas (FGV)
Repositorio:Repositório Institucional do FGV (FGV Repositório Digital)
Idioma:inglés
OAI Identifier:oai:repositorio.fgv.br:10438/11605
Acesso em linha:https://hdl.handle.net/10438/11605
Access Level:acceso abierto
Palavra-chave:Cointegration
Ornstein-Uhlenbeck equation
Kelly criterion
Matemática
Cointegração
Operações com pares (Finanças)
Ações (Finanças)
Descrição
Resumo:Pair trading is an old and well-known technique among traders. In this paper, we discuss an important element not commonly debated in Brazil: the cointegration between pairs, which would guarantee the spread stability. We run the Dickey-Fuller test to check cointegration, and then compare the results with non-cointegrated pairs. We found that the Sharpe ratio of cointegrated pairs is greater than the non-cointegrated. We also use the Ornstein-Uhlenbeck equation in order to calculate the half-life of the pairs. Again, this improves their performance. Last, we use the leverage suggested by Kelly Formula, once again improving the results.