Semiparametric ARCH-X Model for Leverage Effect and Long Memory in Stock Return Volatility
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초록
This paper investigates a new semiparametric ARCH-X model to account for both leverage effect and long memory property in volatility. It is a partial linear model combining a nonparametric ARCH component and an exogenous covariate that is persistent in memory. This model can allow for a flexible functional form of the asymmetric relationship between stock return and volatility and generate the long memory property in volatility. We adopt a realized volatility measure as the covariate in our model. For the daily FTSE 100 Index return series, the nonparametric component of our model captures the leverage effect and is estimated to be a complex nonlinear function. It is shown that our model outperforms other parametric or nonparametric volatility models both in within-sample and out-of-sample forecasts.
Abstract
This paper investigates a new semiparametric ARCH-X model to account for both leverage effect and long memory property in volatility. It is a partial linear model combining a nonparametric ARCH component and an exogenous covariate that is persistent in memory. This model can allow for a flexible functional form of the asymmetric relationship between stock return and volatility and generate the long memory property in volatility. We adopt a realized volatility measure as the covariate in our model. For the daily FTSE 100 Index return series, the nonparametric component of our model captures the leverage effect and is estimated to be a complex nonlinear function. It is shown that our model outperforms other parametric or nonparametric volatility models both in within-sample and out-of-sample forecasts.
참고문헌 (44)
- Andersen, T.G., "Modeling and forecasting realized volatility", Econometrica, 71, pp.529~626 (2003)
- Andrews, D.W.K., "Asymptotics for semiparametric econometric models via stochastic equicontinuity", Econometrica, 62, pp.43~72 (1994)
- Baillie, R.T., "Fractionally integrated generalized autoregressive conditional heteroskedasticity", Journal of Econometrics, 74, pp.3~30 (1996)
- Barndorff-Nielsen, O.E., "Econometric analysis of realized volatility and its use in estimating stochastic volatility models", Journal of the Royal Statistical Society B, 64, pp.253~280 (2002)
- Barndorff-Nielsen, O.E., "Advances in Economics and Econometrics. Theory and Applications, Ninth World Congress, Econometric Society Monographs", pp.328~372 (2007), Cambridge University Press
- Barndorff-Nielsen, O. E., "Designing realized kernels to measure the ex-post variation of equity prices in the presence of noise", Econometrica, 76, pp.1481~1536 (2008)
- Bollerslev, T., "Modeling and pricing long-memory in stock market volatility", Journal of Econometrics, 73, pp.151~184 (1996)
- A model for multivariate nonnegative valued processes in financial econometrics, "Cipollini, F.", Stern School of Business, New York University, ~ (2007)
- Diebold, F.X., "Long memory and regime switching", Journal of Econometrics, 105, pp.131~159 (2001)
- Diebold, F.X., "Comparing predictive accuracy", Journal of Business and Economic Statistics, 13, pp.253~263 (1995)
- Ding, Z., "Modeling volatility persistence of speculative returns : A new approach", Journal of Econometrics, 73, pp.185~215 (1996)
- Ding, Z., "A long memory property of stock market returns and a new model", Journal of Empirical Finance, 1, pp.83~106 (1993)
- Dittmann, I., "Properties of nonlinear transformations of fractionally integrated processes", Journal of Econometrics, 110, pp.113~133 (2002)
- Engle, R.F., "A multiple indicators model for volatility using intra-daily data", Journal of Econometrics, 131, pp.3~27 (2006)
- Engle, R.F., "Cointegration, Causality, and Forecasting: A Festschrift in Honour of Clive W.J. Granger", pp.475~497 (1999), Oxford University Press
- Engle, R. F., "New frontiers for ARCH models", Journal of Applied Econometrics, 17, pp.425~446 (2002)
- Fan, J., "Efficient estimation of conditional variance functions in stochastic regression", Biometrika, 85, pp.645~660 (1998)
- Glosten, L. R., "On the relation between the expected value and the volatility of nominal excess returns on stocks", Journal of Finance, 48, pp.1779~1801 (1993)
- Granger, C.W.J., "Occasional structural breaks and long memory with an application to the S&P 500 absolute stock returns", Journal of Empirical Finance, 11, pp.399~421 (2004)
- Han, H., "Asymptotic Properties of GARCH-X processes", Journal of Financial Econometrics (2014)
- Han, H., "Time series properties of ARCH processes with persistent covariates", Journal of Econometrics, 146, pp.275~292 (2008)
- Han, H., "Non-stationary non-parametric volatility model", The Econometrics Journal, 15, pp.204~225 (2012)
- Hansen, P.R., "Consistent ranking of volatility models", Journal of Econometrics, 131, pp.97~121 (2006)
- Hansen, P.R., "Realized GARCH: a joint model for returns and realized measures of volatility", Journal of Applied Econometrics, 27, pp.877~906 (2012)
- Heber, G., "OMI’s realised library, Version 0.1", Oxford-Man Institute, University of Oxford, ~ (2009)
- Karlesn, H.A., "Nonparametric estimation in null recurrent time series", Annals of Statistics, 29, pp.372~416 (2001)
- Karlsen, H. A., "Nonparametric estimation in a nonlinear cointegration type model", Annals of Statistics, 35, pp.252~299 (2007)
- Linton, O. B., "Handbook of Financial Time Series", pp.157~168 (2009), Springer
- Linton, O.B., "Semi- and nonparametric ARCH processes", Journal of Probability & Statistics, 2011, pp.1~17 (2011)
- Masry, E., "Nonparametric estimation and identification of nonlinear ARCH time series : strong convergence and asymptotic normality", Econometric Theory, 11, pp.258~289 (1995)
- Mikosch, T., "Nonstationarities in financial time series, the long-range dependence, and the IGARCH effects", The Review of Economics and Statistics, 86, pp.378~390 (2004)
- Nelson, D. B., "Conditional heteroskedasticity in asset returns : A new approach", Econometrica, 59, pp.347~370 (1991)
- Pagan, C.R., "Nonparametric and Semiparametric Methods in Econometrics and Statistics" (1991), Cambridge University Press
- Pagan, A.R., "Alternative models for conditional stock volatility", Journal of Econometrics, 45, pp.267~290 (1990)
- Park, J. Y., "Nonstationary nonlinear heteroskedasticity", Journal of Econometrics, 110, pp.383~415 (2002)
- Park, J.Y., "Asymptotics for nonlinear transformations of integrated time series", Econometric Theory, 15, pp.269~298 (1999)
- Patton, A. J., "Volatility forecast comparison using imperfect volatility proxies", Journal of Econometrics, 160, pp.246~256 (2011)
- Patton, A.J., "Handbook of Financial Time Series", pp.801~838 (2009), Springer
- Robinson, P. M., "Root-n-consistent semiparametric regression", Econometrica, 56, pp.931~954 (1988)
- Shephard, N., "Realising the future : forecasting with high frequency based volatility(HEAVY)models", Journal of Applied Econometrics, 25, pp.197~231 (2010)
- Speckman, P., "Kernel smoothing in partial linear models", Journal of the Royal Statistical Society B, 50, pp.413~446 (1988)
- Wang, Q., "Asymptotic theory for local time density estimation and nonparametric cointegrating regression", Econometric Theory, 25, pp.1~29 (2009)
- Wang, Q., "Structural nonparametric cointegrating regression", Econometrica, 77, pp.1901~1948 (2009)
- West, K. D., "Asymptotic inference about predictive ability", Econometrica, 64, pp.1067~1084 (1996)
