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Pricing Derivatives Securities with Prior Information on Long- Memory Volatility

Author

Listed:
  • Alejandro Islas Camargo

    (ITAM, Departamento de Estadística)

  • Francisco Venegas Martínez

    (Oxford University)

Abstract

This paper investigates the existence of long memory in the volatility of the Mexican stock market. We use a stochastic volatility (SV) model to derive statistical test for changes in volatility. In this case, estimation is carried out through the Kalman filter (KF) and the improved quasi-maximum likelihood (IQML). We also test for both persistence and long memory by using a long-memory stochastic volatility (LMSV) model, constructed by including an autoregressive fractionally integrated moving average (ARFIMA) process in a stochastic volatility scheme. Under this framework, we work up maximum likelihood spectral estimators and bootstraped confidence intervals. In the light of the empirical findings, we develop a Bayesian model for pricing derivative securities with prior information on long-memory volatility.

Suggested Citation

  • Alejandro Islas Camargo & Francisco Venegas Martínez, 2003. "Pricing Derivatives Securities with Prior Information on Long- Memory Volatility," Economía Mexicana NUEVA ÉPOCA, CIDE, División de Economía, vol. 0(1), pages 103-134, January-J.
    • Handle: RePEc:emc:ecomex:v:12:y:2003:i:1:p:103-134
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    File URL: http://www.economiamexicana.cide.edu/num_anteriores/XII-1/04ALEJANDRO_ISLAS.pdf
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    References listed on IDEAS

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    Cited by:

    1. Morales-Pelagio, Ricardo Cristhian & López-Herrera, Francisco & Cabrera-Llanos, Agustín Ignacio, 2013. "Eficiencia de las principales acciones de la bolsa mexicana de valores: 2001-2012," eseconomía, Escuela Superior de Economía, Instituto Politécnico Nacional, vol. 0(37), pages 55-75, primer tr.
    2. López-Herrera, Francisco & Ortiz-Arango, Francisco & Venegas-Martínez, Francisco, 2011. "Modelado de la volatilidad del Índice de Precios y Cotizaciones de la Bolsa Mexicana de Valores con cambios markovianos de régimen," Sección de Estudios de Posgrado e Investigación de la Escuela Superios de Economía del Instituto Politécnico Nacional, in: Perrotini-Hernández, Ignacio (ed.), Crecimiento y Desarrollo Económico en México, volume 1, chapter 10, pages 153-164, Escuela Superior de Economía, Instituto Politécnico Nacional.

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    contingent pricing; econometric modeling;

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