Markov-Switching Stochastic Processes in an Active Trading Algorithm in the Main Latin-American Stock Markets

In the present paper, we review the use of two-state, Generalized Auto Regressive Conditionally Heteroskedastic Markovian stochastic processes (MS-GARCH). These show the quantitative model of an active stock trading algorithm in the three main Latin-American stock markets (Brazil, Chile, and Mexico)...

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Main Authors: Oscar V. De la Torre-Torres, Evaristo Galeana-Figueroa, José Álvarez-García
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/6/942
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author Oscar V. De la Torre-Torres
Evaristo Galeana-Figueroa
José Álvarez-García
author_facet Oscar V. De la Torre-Torres
Evaristo Galeana-Figueroa
José Álvarez-García
author_sort Oscar V. De la Torre-Torres
collection DOAJ
description In the present paper, we review the use of two-state, Generalized Auto Regressive Conditionally Heteroskedastic Markovian stochastic processes (MS-GARCH). These show the quantitative model of an active stock trading algorithm in the three main Latin-American stock markets (Brazil, Chile, and Mexico). By backtesting the performance of a U.S. dollar based investor, we found that the use of the Gaussian MS-GARCH leads, in the Brazilian market, to a better performance against a buy and hold strategy (BH). In addition, we found that the use of t-Student MS-ARCH models is preferable in the Chilean market. Lastly, in the Mexican case, we found that is better to use Gaussian time-fixed variance MS models. Their use leads to the best overall performance than the BH portfolio. Our results are of use for practitioners by the fact that MS-GARCH models could be part of quantitative and computer algorithms for active trading in these three stock markets.
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spelling doaj.art-103bdf18432e44f48e3a552bb80aece22023-11-20T03:11:46ZengMDPI AGMathematics2227-73902020-06-018694210.3390/math8060942Markov-Switching Stochastic Processes in an Active Trading Algorithm in the Main Latin-American Stock MarketsOscar V. De la Torre-Torres0Evaristo Galeana-Figueroa1José Álvarez-García2Faculty of Accounting and Management, Saint Nicholas and Hidalgo Michoacán State University (UMSNH), 58030 Morelia, MexicoFaculty of Accounting and Management, Saint Nicholas and Hidalgo Michoacán State University (UMSNH), 58030 Morelia, MexicoFinancial Economy and Accounting Department, Faculty of Business, Finance and Tourism, University of Extremadura, 10071 Cáceres, SpainIn the present paper, we review the use of two-state, Generalized Auto Regressive Conditionally Heteroskedastic Markovian stochastic processes (MS-GARCH). These show the quantitative model of an active stock trading algorithm in the three main Latin-American stock markets (Brazil, Chile, and Mexico). By backtesting the performance of a U.S. dollar based investor, we found that the use of the Gaussian MS-GARCH leads, in the Brazilian market, to a better performance against a buy and hold strategy (BH). In addition, we found that the use of t-Student MS-ARCH models is preferable in the Chilean market. Lastly, in the Mexican case, we found that is better to use Gaussian time-fixed variance MS models. Their use leads to the best overall performance than the BH portfolio. Our results are of use for practitioners by the fact that MS-GARCH models could be part of quantitative and computer algorithms for active trading in these three stock markets.https://www.mdpi.com/2227-7390/8/6/942Markov-SwitchingMarkov-Switching GARCHMarkovian chainalgorithmic tradingactive stock tradingactive investment
spellingShingle Oscar V. De la Torre-Torres
Evaristo Galeana-Figueroa
José Álvarez-García
Markov-Switching Stochastic Processes in an Active Trading Algorithm in the Main Latin-American Stock Markets
Mathematics
Markov-Switching
Markov-Switching GARCH
Markovian chain
algorithmic trading
active stock trading
active investment
title Markov-Switching Stochastic Processes in an Active Trading Algorithm in the Main Latin-American Stock Markets
title_full Markov-Switching Stochastic Processes in an Active Trading Algorithm in the Main Latin-American Stock Markets
title_fullStr Markov-Switching Stochastic Processes in an Active Trading Algorithm in the Main Latin-American Stock Markets
title_full_unstemmed Markov-Switching Stochastic Processes in an Active Trading Algorithm in the Main Latin-American Stock Markets
title_short Markov-Switching Stochastic Processes in an Active Trading Algorithm in the Main Latin-American Stock Markets
title_sort markov switching stochastic processes in an active trading algorithm in the main latin american stock markets
topic Markov-Switching
Markov-Switching GARCH
Markovian chain
algorithmic trading
active stock trading
active investment
url https://www.mdpi.com/2227-7390/8/6/942
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