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El trimestre económico
On-line version ISSN 2448-718XPrint version ISSN 0041-3011
Abstract
PARISI F., Antonino and PARISI F, Franco. Modelos predictivos de lógica y lógica borrosa en índices bursátiles de América del Norte. El trimestre econ [online]. 2006, vol.73, n.290, pp.265-288. Epub Dec 02, 2022. ISSN 2448-718X. https://doi.org/10.20430/ete.v73i290.545.
This article continues with the research related to predict stock index, such as, genetic algorithms and neuronal networks. Parametrics or non parametrics, lineals and non lineals models, try to re cognize patterns and relations that express themselves in a mathematical language, through the estimation of coefficients and their statistical significance. However, most of the agents in the stock market use a language that incorporates qualitative aspects to refer to, for example, the price of an asset, the yield of the investment, etc. In this con text, the quantitative models have problems to absorb this in formation, which suggests the need to develop and analyze new techniques, incorporating this type of references. The methodology of fuzzy logic gives answer to this question because it’s based on the idea that the variables should be handled not as a number but as characteristics that they represent. We used historic series of daily prices of the North American stock index DJI and Nasdaq (USA), IPC (México) y TSE (Canada), corresponding to the period October 8, 1996 and January 7, 2005. We designed a model of logic and fuzzy logic, to forecast the stock indexes sign variations. The logic models and the fuzzy logic models reached a forecast capability statistically significant. In addition, both models achieved a significant and positive abnormal return when they were used as a trading strategy, even after transaction costs.
Keywords : lógica borrosa; funciones de pertenencia; conjuntos de pertenencia; reglas de comercio (trading); desfuzificación; porcentaje de predicción de signo; prueba de acierto direccional.