Memoria larga de la volatilidad de los rendimientos del mercado mexicano de capitales
Palabras clave:
volatilidad de memoria larga, GARCH, integrados fraccionariamente, modelado de series financierasResumen
El presente trabajo proporciona un análisis sobre la volatilidad de memoria larga de los rendimientos del principal indicador del Índice de Precios y Cotizaciones (ipc) de la Bolsa Mexicana de Valores. Mediante varias pruebas semiparamétricas se examina la existencia de memoria larga en la volatilidad de los rendimientos del ipc. La evidencia empírica, con base en parametrizaciones del tipo arfi-garch, sugiere la existencia de volatilidad de memoria larga.
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Baillie, R. T., T. Bollerslev and H. O. Mikkelsen (1996). “Fractional integrated generalized autoregressive conditional heteroskedasticity”, Journal of Econometrics, 74(1), pp. 3-30.
Conrad, C. (2007). “Non-negativity conditions for the Hyperbolic garch model”, kof Working Papers, 162, Swiss Federal Insititute of Technology-kof Swiss Economic Institute, Zurich.
Crato, N. (1994). “Some international evidence regarding the stochastic memory of stock returns”, Applied Financial Economics, 4 (1), pp. 33-39.
Davidson, J. (2003). “Moment and memory properties of linear conditional heteroscedasticity models”, Journal of Business and Economics Statistics, 22 (1), pp. 16-29.
Ding, Z. and C. W. J. Granger (1996). “Modeling volatility persistence of speculative returns: a new approach”, Journal of Econometrics 73(1), pp. 185-215.
Ding, Z., C. W. J. Granger and R. F. Engle (1993). “A long memory property of stock market returns and a new model”, Journal of Empirical Finance, 1, pp.83–106.
Doornik, J. A. (2002) Object-oriented matrix programming using Ox, London: Timberlake Consultants Press and Oxford, (www.doornik.com).
Doornik, J. A. and M. Ooms. (2003). “Computational aspects of maximum likelihood estimation of autoregressive fractionally integrated moving average models”, Computational Statistics and Data Analysis, 41, pp. 333-348.
Geweke, J. and S. Porter-Hudak (1983). “The estimation and application of long memory time series models”, Journal of Time Series Analysis, 4(4), pp. 221-238.
Goetzmann, W. (1993). “Patterns in three centuries of stock market prices”, Journal of Business, 66(2), pp. 249-269.
Granger, C. W. J. (1980). “Long memory relationships and the aggregation of dynamic models”, Journal of Econometrics, 14(2), pp. 227-238.
Granger, C. W. J. and R. Joyeux(1980). “An introduction to long memory time series models and fractional differencing”, Journal of Time Series Analysis, 1(1), pp. 15-29.
Greene, M. T. and B. D. Fielitz (1977). “Long term dependence in common stock returns”, Journal of Financial Economics, 4(3), pp. 339-349.
Hernández Ángeles, I. F., A. Morales y D. Rodríguez (2007). “Eficiencia y volatilidad del mercado accionario en México, 1988-2005”, Comercio Exterior 57 (11), pp. 898-905.
Hosking, J. (1981). “Fractional differencing”, Biometrica, 68(1), pp. 165-176.
Hurst, H. E. (1951). “Long-term storage of reservoirs”, Transactions of the American Society of Civil Engineers, 116, pp. 770-799.
Hurvich, C. M., R. Deo and J. Brodsky (1998). “The mean squared error of Geweke and Porter-Hudak’s estimator of the memory parameter in a long-memory time series”, Journal of Time Series Analysis, 19, pp. 19-46.
Islas Camargo, A. and F. Venegas-Martínez (2003). “Pricing derivatives securities with prior information on long-memory volatility”, Economía Mexicana 12 (1), pp. 103-134.
Jacobsen, B. (1996). “Long term dependence in stock returns”, Journal of Empirical Finance, 3(4), pp. 393-417.
Karanasos, M., S. H. Sekioua and N. Zeng (2006). “On the order of integration of monthly US ex-ante and ex-post real interest rates: new evidence from over a century of data”, Economic Letters, 90(3), pp. 163-169.
Kim C. S. y P. C. B. Phillips (2000). “Modified log periodogram regression”, Working Paper, Yale University.
Kupiec, P. (1995). “Techniques for Veryfying the Accuracy of Risk Measurement Models”, The Journal of Derivatives, 3(2), pp. 73-84.
Lo, A. W. (1991). “Long-term memory in stock market prices”, Econometrica, 59, pp. 1279-1313.
Lobato, I. N. and N. E. Savin (1998). “Real and spurious long-memory properties of stock market data”, Journal of Business and Economic Statistics, 16 (3), pp. 261-268.
Lombardi, M. J. and G. M. Gallo (2005). “Processi a memoria lunga e fractionally integrated garch”, Quaderni/2005-2, Dipartimento de Statistica Giuseppe Parenti–Università degli Studi di Firenze.
López Herrera, F. (2004). “Modelado de la volatilidad y pronóstico del Índice de Precios y Cotizaciones de la Bolsa Mexicana de Valores”, Contaduría y Administración, 213, pp. 43-72.
López Herrera, F. y F. J. Vázquez (2002). “Variables económicas y un modelo multifactorial para la Bolsa Mexicana de Valores: análisis empírico en una muestra de activos”, Academia, Revista Latinoamericana de Administración, 29, pp. 5-28.
López Herrera, F., E. Ortiz y A. Cabello (2007). “Las bolsas de valores en el área del TLCAN: un análisis a largo plazo”, Problemas del Desarrollo, 38 (151), pp. 37-61.
Mandelbrot, B., (1971). “When can price be arbitrage? A limit to the validity of the random walk and martingale models”, Review of Economics and Statistics, 53(3), pp. 225-236.
Mandelbrot, B. and J. R. Wallis (1969). “Computer Experiments with Fractional Gaussian Noises”, Water Resources Research, 5, pp. 260-267.
Mills, T. (1993). “Is there long-term memory in UK stock returns?”, Applied Financial Economics, 3 , pp. 303-306.
Moulines, E. and P. Soulier (1999). “Broad band log-periodogram estimation of time series with long-range dependence”, Annals of Statistics, 27, pp. 1415-1439.
Ñíguez, T. M. and A. Rubia (2006). “Forecasting the conditional covariance matrix
of a portfolio under long-run temporal dependence”, Journal of Forecasting, 25(6), pp. 439-458.
Peters, E. (1992). “R/S analysis using logarithmic returns”, Financial Analysis Journal, November-December, pp. 81-82.
Quan Lu, Shu, T. Ito and K. Voges (2008). “An analysis of long memory in the sse’s Component Index”, Journal of Economics, Banking and Finance, 2 (1), (www.scientificjournals.org/journals2008/articles/1331.pdf).
Rapach, D. E. and M. E. Wohar (2004). “The persistence in international real interest rates”, International Journal of Finance and Economics, 9 (4), pp. 339-346.
Robinson, P. M. (1991). “Testing for strong serial correlation and dynamic conditional heteroskedasticity in multiple regresión”, Journal of Econometrics, 47(1), pp. 67-84.
Sowell, F. (1992). “Maximum likelihood estimation of stationary univariate fractionally integrated time series models”, Journal of Econometrics 53, pp. 165-188.
Tang, T. L. and S. J. Shieh (2006). “Long memory in stock index future markets: a value-at-risk approach”, Physica A, 366, pp. 437-448.
Taqqu, M. S., V. Tevorovsky and W. Willinger (1999). “A critical look at Lo’s modified R/S statistic”, Journal of Statistical Planning and Inference, 80, pp. 211-227.
Tse, Y. K. (1998). “The condicional heteroscedasticity of the yen-dollar exchange rate”, Journal of Applied Econometrics,13 (1), pp. 94-55.
Venegas-Martínez, F. y A. Islas (2005). “Volatilidad de los mercados bursátiles de América Latina: efectos de largo plazo”, Comercio Exterior, 55(11), pp. 936-947.
Wen Cheong, C. (2008). “Volatility in Malaysian stock market: an empirical study using fractionally integrated approach”, American Journal of Applied Sciences, 5(6), pp. 683-688.
Willinger, W., M. S. Taqqu and V. Tevorovsky (1999). “Stock market prices and long-range dependence”, Finance and Stochastics, 3 (1), pp. 1-13.
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