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Uso de la Metodología Wavelets para la validación de la regla de la raíz del tiempo y su aplicación al riesgo de mercado

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  • Javier Eliecer Pirateque Niño

Abstract

Bajo el supuesto de que una serie de retornos es independiente e idénticamente distribuida (IID), la dimensión temporal del riesgo es irrelevante. De esta forma, la volatilidad calculada sobre un intervalo de tiempo (e.g. mensual) puede ser estimada a partir de la calculada sobre otro intervalo (e.g. diario), mediante la regla de la raíz del tiempo. El presente documento presenta una metodología avanzada, que al igual que las más tradicionales, evidencia que la utilización de dicha raíz es errónea debido a que existe dependencia de largo plazo en algunas de las series financieras colombianas. Asimismo, se exponen algunas de las consecuencias más importantes de dicha dependencia (en especial sobre el cálculo del riesgo de mercado) y se proponen algunos parámetros de escalamiento.

Suggested Citation

  • Javier Eliecer Pirateque Niño, 2014. "Uso de la Metodología Wavelets para la validación de la regla de la raíz del tiempo y su aplicación al riesgo de mercado," Borradores de Economia 809, Banco de la Republica de Colombia.
    • Handle: RePEc:bdr:borrec:809
    DOI: 10.32468/be.809
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    Keywords

    Wavelets; dependencia de largo plazo; análisis multi-resolución y riesgo de mercado.;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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