Practical Issues in the Analysis of Univariate GARCH Models

This chapter gives a tour through the empirical analysis of univariate GARCH models for financial time series with stops along the way to discuss various practical issues associated with model specification, estimation, diagnostic evaluation and forecasting.

[1]  Richard A. Davis,et al.  Handbook of Financial Time Series , 2009 .

[2]  T. Bollerslev,et al.  Generalized autoregressive conditional heteroskedasticity , 1986 .

[3]  Christopher G. Lamoureux,et al.  Persistence in Variance, Structural Change, and the GARCH Model , 1990 .

[4]  Bushra Naqvi,et al.  Asymmetric Behavior of Inflation Uncertainty and Friedman-Ball Hypothesis: Evidence from Pakistan , 2009 .

[5]  F. Diebold,et al.  Comparing Predictive Accuracy , 1994, Business Cycles.

[6]  Andrew A. Weiss,et al.  Asymptotic Theory for ARCH Models: Estimation and Testing , 1986, Econometric Theory.

[7]  Ser-Huang Poon,et al.  A Practical Guide to Forecasting Financial Market Volatility , 2005 .

[8]  S. T. Jensen,et al.  ASYMPTOTIC NORMALITY OF THE QMLE ESTIMATOR OF ARCH IN THE NONSTATIONARY CASE , 2004 .

[9]  R. Lumsdaine,et al.  Consistency and Asymptotic Normality of the Quasi-maximum Likelihood Estimator in IGARCH(1,1) and Covariance Stationary GARCH(1,1) Models , 1996 .

[10]  R. Engle.  GARCH 101: The Use of ARCH/GARCH Models in Applied Econometrics , 2001 .

[11]  Eric Ghysels,et al.  Rolling-Sample Volatility Estimators , 2002 .

[12]  Eric Ghysels,et al.  Periodic Autoregressive Conditional Heteroskedasticity , 1996 .

[13]  F. Palm.  7 GARCH models of volatility , 1996 .

[14]  J. Zakoian.  Threshold heteroskedastic models , 1994 .

[15]  G. Gallo,et al.  Early News is Good News: The Effects of Market Opening on Market Volatility , 1998 .

[16]  T. Mikosch,et al.  Nonstationarities in Financial Time Series, the Long-Range Dependence, and the IGARCH Effects , 2004, Review of Economics and Statistics.

[17]  Carol Alexander,et al.  Market Models: A Guide to Financial Data Analysis , 2001 .

[18]  P. Hansen,et al.  Consistent Ranking of Volatility Models , 2006 .

[19]  Chris Brooks,et al.  Benchmarks and the accuracy of GARCH model estimation , 2001 .

[20]  Cathy W. S. Chen,et al.  On a threshold heteroscedastic model , 2006 .

[21]  Adrian Pagan,et al.  The econometrics of financial markets , 1996 .

[22]  A. Lo.  Long-Term Memory in Stock Market Prices , 1989 .

[23]  Michael P. Clements.  Evaluating Econometric Forecasts of Economic and Financial Variables , 2005 .

[24]  F. Diebold,et al.  Modeling Volatility Dynamics , 1995 .

[25]  C. Granger,et al.  A long memory property of stock market returns and a new model , 1993 .

[26]  C. Granger,et al.  Handbook of Economic Forecasting , 2006 .

[27]  Philip Hans Franses,et al.  Non-Linear Time Series Models in Empirical Finance , 2000 .

[28]  Jonathan D. Cryer,et al.  Time Series Analysis , 1986 .

[29]  M. Flannery,et al.  Macroeconomic Factors Do Influence Aggregate Stock Returns , 2002 .

[30]  T. Bollerslev,et al.  A CONDITIONALLY HETEROSKEDASTIC TIME SERIES MODEL FOR SPECULATIVE PRICES AND RATES OF RETURN , 1987 .

[31]  P. Burridge,et al.  A Very Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix , 1991 .

[32]  T. Teräsvirta,et al.  Evaluating GARCH models , 2002 .

[33]  C. Granger,et al.  Modeling volatility persistence of speculative returns: A new approach , 1996 .

[34]  Christian Conrad,et al.  Inequality Constraints in the Fractionally Integrated GARCH Model , 2006 .

[35]  P. Hansen,et al.  A Forecast Comparison of Volatility Models: Does Anything Beat a Garch(1,1)? , 2004 .

[36]  F. C. Palm,et al.  GARCH Models of Volatility , 1996 .

[37]  Anil K. Bera,et al.  ARCH Models: Properties, Estimation and Testing , 1993 .

[38]  Antulio N. Bomfim.  Pre-announcement effects, news effects, and volatility: Monetary policy and the stock market , 2003 .

[39]  F. Breidt,et al.  The detection and estimation of long memory in stochastic volatility , 1998 .

[40]  Ruey S. Tsay,et al.  Analysis of Financial Time Series , 2005 .

[41]  Chris Brooks,et al.  GARCH modelling in finance: a review of the software options , 1997 .

[42]  F. Diebold,et al.  Exact maximum likelihood estimation of ARCH models , 1993 .

[43]  J. Zakoian,et al.  A Tour in the Asymptotic Theory of GARCH Estimation , 2009 .

[44]  Anders Rahbek,et al.  ASYMPTOTICS OF THE QMLE FOR A CLASS OF ARCH(q) MODELS , 2005, Econometric Theory.

[45]  Timo Terasvirta,et al.  Multivariate GARCH Models , 2008 .

[46]  R. Baillie,et al.  Fractionally integrated generalized autoregressive conditional heteroskedasticity , 1996 .

[47]  George Tauchen,et al.  SNP: A Program for Nonparametric Time Series Analysis. Version 8.4. User's Guide , 1995 .

[48]  Timo Teräsvirta,et al.  Multivariate GARCH models To appear in T. G. Andersen, R. A. Davis, J.-P. Kreiss and T. Mikosch, eds. Handbook of Financial Time Series. New York: Springer. , 2008 .

[49]  Stephen Taylor,et al.  Forecasting S&P 100 Volatility: The Incremental Information Content of Implied Volatilities and High Frequency Index Returns , 2000 .

[50]  Charles G. Renfro,et al.  Benchmarks and software standards: A case study of GARCH procedures , 1998 .

[51]  Christopher G. Lamoureux,et al.  Heteroskedasticity in Stock Return Data: Volume versus GARCH Effects , 1990 .

[52]  T. Bollerslev,et al.  ANSWERING THE SKEPTICS: YES, STANDARD VOLATILITY MODELS DO PROVIDE ACCURATE FORECASTS* , 1998 .

[53]  M. Magdalinos,et al.  A reinterpretation of the tests of overidentifying restrictions , 1996 .

[54]  F. Diebold.  Empirical modeling of exchange rate dynamics , 1988 .

[55]  R. Engle.  Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation , 1982 .

[56]  L. Glosten,et al.  On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks , 1993 .

[57]  Jiahui Wang,et al.  Modeling Financial Time Series with S-PLUS® , 2003 .

[58]  Timo Teräsvirta,et al.  Properties of Moments of a Family of GARCH Processes , 1999 .

[59]  R. Baillie,et al.  Prediction in dynamic models with time-dependent conditional variances , 1992 .

[60]  Frank T. Magiera,et al.  Macroeconomic Factors Do Influence Aggregate Stock Returns , 2002 .

[61]  C. Nicol,et al.  Testing a Theory of Exact Aggregation , 1989 .

[62]  M. Martens.  Measuring and Forecasting S&P 500 Index-Futures Volatility Using High-Frequency Data , 2002 .

[63]  Jan Beran,et al.  Statistics for long-memory processes , 1994 .

[64]  Serena Ng,et al.  Testing for ARCH in the presence of a possibly misspecified conditional mean , 1999 .

[65]  Richard A. Davis,et al.  Extreme Value Theory for GARCH Processes , 2009 .

[66]  Bruce E. Hansen,et al.  Asymptotic Theory for the Garch(1,1) Quasi-Maximum Likelihood Estimator , 1994, Econometric Theory.

[67]  Timo Teräsvirta,et al.  FOURTH MOMENT STRUCTURE OF THE GARCH(p,q) PROCESS , 1999, Econometric Theory.

[68]  B. Mandelbrot.  Limit Theorem on the Self-Normalized Range for Weakly and Strongly Dependent Process , 1975 .

[69]  R. Engle,et al.  Multivariate Simultaneous Generalized ARCH , 1995, Econometric Theory.

[70]  Jan M. Podivinsky,et al.  SNP: a program for non-parametric time series analysis , 1996 .

[71]  M. Steel,et al.  On Bayesian Modelling of Fat Tails and Skewness , 1998 .

[72]  Jussi Tolvi,et al.  Modeling Financial Time Series with S‐Plus , 2003 .

[73]  Stephen L Taylor,et al.  The incremental volatility information in one million foreign exchange quotations , 1997 .

[74]  Maxwell L. King,et al.  A Locally Most Mean Powerful Based Score Test for ARCH and GARCH Regression Disturbances , 1993 .

[75]  Sébastien Laurent,et al.  G@RCH 2.2: An Ox Package for Estimating and Forecasting Various ARCH Models , 2001 .

[76]  William Yu,et al.  Predicting Stock Volatility Using After-Hours Information , 2009 .

[77]  B. Mandelbrot.  Limit theorems on the self-normalized range for weakly and strongly dependent processes , 1975 .

[78]  Gabriele Fiorentini,et al.  Analytic Derivatives and the Computation of Garch Estimates , 1996 .

[79]  W. Newey,et al.  A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelationconsistent Covariance Matrix , 1986 .

[80]  J. Wooldridge,et al.  Quasi-maximum likelihood estimation and inference in dynamic models with time-varying covariances , 1992 .

[81]  Jun Ma,et al.  Spurious Inference in the GARCH (1,1) Model When It Is Weakly Identified , 2006 .

[82]  Daniel B. Nelson.  CONDITIONAL HETEROSKEDASTICITY IN ASSET RETURNS: A NEW APPROACH , 1991 .

[83]  Bushra Naqvi,et al.  Inflation volatility: an Asian perspective , 2014 .

[84]  Pierre Giot,et al.  Market Models: A Guide to Financial Data Analysis , 2003 .

[85]  Andrew J. Patton,et al.  What good is a volatility model? , 2001 .

[86]  C. Granger,et al.  Forecasting Volatility in Financial Markets: A Review , 2003 .

[87]  Daniel B. Nelson,et al.  Inequality Constraints in the Univariate GARCH Model , 1992 .

[88]  Walter Zucchini,et al.  Model Selection , 2011, International Encyclopedia of Statistical Science.

[89]  Ser-Huang Poon,et al.  Practical Issues in Forecasting Volatility , 2005 .

[90]  P. D. Jongh,et al.  Risk estimation using the normal inverse Gaussian distribution , 2001 .

[91]  R. Engle,et al.  Semiparametric ARCH Models , 1991 .

[92]  T. Nijman,et al.  Temporal Aggregation of GARCH Processes. , 1993 .

[93]  W. Newey,et al.  A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelationconsistent Covariance Matrix , 1986 .

[94]  Adrian Pagan,et al.  Alternative Models for Conditional Volatil-ity , 1990 .

[95]  F. Diebold,et al.  The Distribution of Realized Exchange Rate Volatility , 2000 .

[96]  F. Diebold,et al.  The Distribution of Exchange Rate Volatility , 1999 .

[97]  H. E. Hurst,et al.  Long-Term Storage Capacity of Reservoirs , 1951 .

[98]  P. D. Lima,et al.  Nuisance parameter free properties of correlation integral based statistics , 1996 .

[99]  Adrian Pagan,et al.  Alternative Models for Conditional Stock Volatility , 1989 .

[100]  Ser-Huang Poon,et al.  Forecasting Financial Market Volatility: A Review , 2001 .

[101]  Timo Teräsvirta,et al.  An Introduction to Univariate GARCH Models , 2006 .