Long Memory and Structural Breaks in Extreme Value Estimators - The Case of the U.S. Stock Indexes -

YONGJAE KWON (권용재)

Long Memory and Structural Breaks in Extreme Value Estimators - The Case of the U.S. Stock Indexes -

Journal of Insurance and Finance
2010, 21(1), pp.187-237
Publisher : Korea Insurance Research Institute
Research Area : Social Science > Business Management

YONGJAE KWON ¹

¹보험연구원

Accredited

ABSTRACT

With numerous studies reporting long memory in financial volatilities, long memory became one of the stylized facts of volatility time series. Several researchers, however, including Granger and Hyung (2004) and Choi and Zivot(2007), argue that the long memory property of financial volatilities may be amplified by occasional structural breaks. This paper investigates the validity of the previous studies - whether long memory in extreme value estimators is overstated by structural breaks. I find an evidence that the degree of long memory in the extreme value estimators is inflated by structural breaks. I also find, however, that significant long memory is still discovered in the extreme value estimators even after the multiple breaks are controlled in the estimation.

KEYWORDS

Extreme Value Estimators, Long Memory, Structural Breaks, Volatility

Citation status

* References for papers published after 2023 are currently being built.

[journal] Andersen, T.G. / 2001 / The distribution of realized stock return volatility / Journal of Financial Economics 61 : 43~76

[journal] Andersen, T.G. / 2001 / The distribution of realized exchange rate volatility / Journal of American Statistical Association 96 : 42~55

[journal] Andersen, T.G. / 2003 / Modeling and forecasting realized volatility / Econometrica 71 : 579~625

[journal] Areal, N.M.P.C. / 2002 / The realized volatility of FTSE-100 futures prices / Journal of Futures Markets 22 : 627~648

[journal] Bai, J. / 1998 / Estimating and testing linear models with multiple structural changes / Econometrica 66 : 47~78

[journal] Bai, J. / 2003 / Computation and analysis of multiple structural change models / Journal of Applied Econometrics 18 : 1~22

[journal] Baillie, R.T. / 1996 / Fractionally integrated generalized autoregressive conditional heteroskedasticity / Journal of Econometrics 74 : 3~30

[journal] Bali, T. / 2005 / The empirical performance of alternative extremevalue volatility estimators / Journal of Futures Markets 25 : 873~892

[journal] Byers, J.D. / 2001 / Volatility persistence in asset markets: long memory in high/low prices / Applied Financial Economics 11 : 253~260

[journal] Chen, Z. / 2006 / Persistence of volatility in futures markets / Journal of Futures Markets 26 : 571~594

[journal] Choi, K. / 2007 / Long memory and structural changes in the forward discount: An empirical investigation / Journal of International Money and Finance 26 : 342~363

[report] Choi, K. / 2006 / Long memory versus structural breaks in modeling and forecasting realized volatility / Winona State University

[journal] Ding, Z. / 1993 / A long memory property of stock market returns and a new model / Journal of Empirical Finance 1 : 83~106

[journal] Dufrenot, G. / 2005 / Modelling squared returns using a SETAR model with long-memory dynamics / Economics Letters 86 : 237~243

[thesis] Ebens, H. / 1999 / Realized stock volatility / Johns Hopkins University

[journal] Feller, W. / 1951 / The asymptotic distribution of the range of sums of independent random variables / Annals of Mathematical Statistics 22 : 427~432

[journal] Garman, M. / 1980 / On the estimation of security price volatilities from historical data / Journal of Business 53 : 67~78

[journal] Geweke, J. / 1983 / The estimation and application of long memory time series models / Journal of Time Series Analysis 4 : 221~237

[journal] Granger, C.W.J. / 1995 / Some properties of absolute returns: An alternative measure of risk / Annales d’Economie et de Statistique 40 : 67~91

[journal] Granger, C.W.J. / 2004 / Occasional structural breaks and long memory with an application to the S&P 500 absolute stock returns / Journal of Empirical Finan 11 : 399~421

[journal] Granger, C.W.J. / 1980 / An introduction to long memory time series and fractional differencing / Journal of Time Series Analysis 1 : 15~29

[journal] Guo, W. / 2006 / Identifying regime changes in market volatility / Journal of Financial Research 29 : 79~93

[journal] Hosking, J. / 1981 / Fractional differencing / Biometrika 68 : 165~176

[journal] Hurvich, C.M. / 1998 / The mean squared error of Geweke and Porter-Hudak’s estimator of the memory parameter of a long-memory time series / Journal of Time Series Analysis 19 : 19~46

[journal] Kilic, R. / 2004 / On the long memory properties of emerging capital markets: evidence from Istanbul stock exchange / Applied Financial Economics 14 : 915~922

[journal] Kwiatkowski, D. / 1992 / Testing the null hypothesis of stationarity against the alternative of a unit root / Journal of Econometrics 54 : 159~178

[journal] Lamoureux, C.G. / 1990 / Persistence in variance, structural change, and the GARCH model / Journal of Business and Economic Statistics 8 : 225~234

[journal] Lastrapes, W.D. / 1989 / Exchange rate volatility and U.S. monetary policy: An ARCH application / Journal of Money, Credit and Banking 21 : 66~77

[journal] Li, K. / 2002 / Long-memory vs. Option-implied volatility predictions / Journal of Derivatives 9 : 9~25

[journal] Lo, A.W. / 1991 / Long term memory in stock market prices / Econometrica 59 : 1279~1313

[journal] Lobato, I.N. / 1998 / Real and spurious long memory properties of stock market data / Journal of Business and Economic Statistics 16 : 261~283

[journal] Luu, J. / 2003 / Testing the mixture of distributions hypothesis using “realized”volatility / Journal of Futures Markets 23 : 661~679

[journal] Nelson, C.R. / 1982 / Trends and random walks in macroeconomic time series: some evidence and implications / Journal of Monetary Economics 10 : 139~162

[journal] Parkinson, M. / 1980 / The extreme value method for estimating the variance of the rate of return / Journal of Business 53 : 61~68

[journal] Perron, P. / 1989 / The Great Crash, the Oil Price shock, and the unit-root hypothesis / Econometrica 57 : 1361~1401

[journal] Rogers, L.C.G / 1991 / Estimating variance from high, low and closing prices / Annals of Applied Probability 1 : 504~512

[journal] Rogers, L.C.G. / 1994 / Estimating the volatility of stock prices: a comparison of methods that use high and low prices / Applied Financial Economics 4 : 241~247

[journal] Shu, J. / 2006 / Testing range estimators of historical volatility / Journal of Futures Markets 26 : 297~313

[journal] Taylor, S.J. / 1987 / Forecasting the volatility of currency exchange rates / International Journal of Forecasting 3 : 159~170

[journal] Wiggins, J.B. / 1991 / Empirical tests of the bias and efficiency of the extreme-value variance estimator for common stocks / Journal of Business 64 : 417~432

[journal] Wiggins, J.B. / 1992 / Estimating the volatility of S&P 500 futures prices using the extremevalue method / Journal of Futures Markets 12 : 265~273

[journal] Yang, D. / 2000 / Drift independent volatility estimation based on high, low, open and close prices / Journal of Business 73 : 477~491

[journal] Zivot, E. / 1992 / Further evidence on the Great Crash, the Oil- Price Shock, and the unit-root hypothesis / Journal of Business and Economic Statistics 10 : 251~270

This paper was written with support from the National Research Foundation of Korea.

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