This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

When Should Time be Continuous? Volatility Modeling and Estimation of High-Frequency Data

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Yue Fang (University of Oregon)

Additional information is available for the following registered author(s):

Abstract

The paper studies the problem of volatility modeling and estimation of high-frequency data undercontinuous record asymptotics. The approach decomposes the observed data into pricediffusion and stationary components. The diffusion component may be identified as the"true" value of the underlying asset. The stationary component, termed as thehigh-frequency "noise" (HFN), accommodates pertinent market microstructure features.A simple condition, characterizing the HFN component on which conventional volatilityestimators on the basis of noisy observations will be consistent for diffusion volatility, is derived, and is applied to Reuters FXFX data. It is shown that conventional volatility estimators lead to substantial spurious volatility in high-frequency returns. The failure of conventional estimators in providing consistent estimates is due to the higher irregularities of the HFN sample path, which is induced, at least in part, by trader heterogeneity. In addition, the optimal sampling frequency is acquired which justifies theappropriateness of the use of the 10- to 15-minute sampling intervals - the benchmark noisefilter used in many recent empirical studies dealing with high-frequency foreign exchangedata.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help file. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://fmwww.bc.edu/RePEc/es2000/0843.pdf
File Format: application/pdf
File Function: main text
Download Restriction: no

Publisher Info
Paper provided by Econometric Society in its series Econometric Society World Congress 2000 Contributed Papers with number 0843.

Download reference. The following formats are available: HTML, plain text, BibTeX, RIS (EndNote), ReDIF
Length:
Date of creation: 01 Aug 2000
Date of revision:
Handle: RePEc:ecm:wc2000:0843

Contact details of provider:
Phone: 1 212 998 3820
Fax: 1 212 995 4487
Email:
Web page: http://www.econometricsociety.org/pastmeetings.asp
More information through EDIRC

For technical questions regarding this item, or to correct its listing, contact: (Christopher F. Baum).

Related research
Keywords:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Stein, Elias M & Stein, Jeremy C, 1991. "Stock Price Distributions with Stochastic Volatility: An Analytic Approach," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 4(4), pages 727-52. [Downloadable!] (restricted)
  2. Harvey, Andrew & Ruiz, Esther & Sentana, Enrique, 1992. "Unobserved component time series models with Arch disturbances," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 129-157. [Downloadable!] (restricted)
  3. Glosten, Lawrence R, 1987. " Components of the Bid-Ask Spread and the Statistical Properties of Transaction Prices," Journal of Finance, American Finance Association, vol. 42(5), pages 1293-1307, December. [Downloadable!] (restricted)
  4. Bollerslev, Tim & Melvin, Michael, 1994. "Bid--ask spreads and volatility in the foreign exchange market : An empirical analysis," Journal of International Economics, Elsevier, vol. 36(3-4), pages 355-372, May. [Downloadable!] (restricted)
  5. Muller, Ulrich A. & Dacorogna, Michel M. & Dave, Rakhal D. & Olsen, Richard B. & Pictet, Olivier V. & von Weizsacker, Jacob E., 1997. "Volatilities of different time resolutions -- Analyzing the dynamics of market components," Journal of Empirical Finance, Elsevier, vol. 4(2-3), pages 213-239, June. [Downloadable!] (restricted)
  6. Kenneth A. Froot & David S. Scharfstein & Jeremy C. Stein, 1990. "Herd on the Street: Informational Inefficiencies in a Market with Short-Term Speculation," NBER Working Papers 3250, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  7. Andersen, Torben G & Bollerslev, Tim, 1997. " Heterogeneous Information Arrivals and Return Volatility Dynamics: Uncovering the Long-Run in High Frequency Returns," Journal of Finance, American Finance Association, vol. 52(3), pages 975-1005, July. [Downloadable!] (restricted)
    Other versions:
  8. Melino, Angelo & Turnbull, Stuart M., 1990. "Pricing foreign currency options with stochastic volatility," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 239-265. [Downloadable!] (restricted)
  9. Chambers, Marcus J, 1998. "Long Memory and Aggregation in Macroeconomic Time Series," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1053-72, November.
    Other versions:
  10. Hull, John C & White, Alan D, 1987. " The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June. [Downloadable!] (restricted)
  11. Kaul, Gautam & Nimalendran, M., 1990. "Price reversals *1: Bid-ask errors or market overreaction?," Journal of Financial Economics, Elsevier, vol. 28(1-2), pages 67-93. [Downloadable!] (restricted)
  12. Lyons, Richard K., 1995. "Tests of microstructural hypotheses in the foreign exchange market," Journal of Financial Economics, Elsevier, vol. 39(2-3), pages 321-351. [Downloadable!] (restricted)
    Other versions:
  13. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July. [Downloadable!] (restricted)
  14. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59. [Downloadable!] (restricted)
  15. Wiggins, James B., 1987. "Option values under stochastic volatility: Theory and empirical estimates," Journal of Financial Economics, Elsevier, vol. 19(2), pages 351-372, December. [Downloadable!] (restricted)
  16. Hausman, Jerry A. & Lo, Andrew W. & MacKinlay, A. Craig, 1992. "An ordered probit analysis of transaction stock prices," Journal of Financial Economics, Elsevier, vol. 31(3), pages 319-379, June. [Downloadable!] (restricted)
    Other versions:
  17. Morris, Stephen, 1994. "Trade with Heterogeneous Prior Beliefs and Asymmetric Information," Econometrica, Econometric Society, vol. 62(6), pages 1327-47, November. [Downloadable!] (restricted)
  18. Goodhart, Charles A. E. & O'Hara, Maureen, 1997. "High frequency data in financial markets: Issues and applications," Journal of Empirical Finance, Elsevier, vol. 4(2-3), pages 73-114, June. [Downloadable!] (restricted)
  19. Nelson, Daniel B & Foster, Dean P, 1994. "Asymptotic Filtering Theory for Univariate ARCH Models," Econometrica, Econometric Society, vol. 62(1), pages 1-41, January. [Downloadable!] (restricted)
    Other versions:
  20. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144. [Downloadable!] (restricted)
    Other versions:
  21. Yin-Wong Cheung & Menzie D. Chinn, 1999. "Macroeconomic Implications of the Beliefs and Behavior of Foreign Exchange Traders," NBER Working Papers 7417, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  22. Andersen, Torben G & Bollerslev, Tim, 1998. "Answering the Skeptics: Yes, Standard Volatility Models Do Provide Accurate Forecasts," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 885-905, November.
  23. Lo, Andrew W. & Craig MacKinlay, A., 1990. "An econometric analysis of nonsynchronous trading," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 181-211. [Downloadable!] (restricted)
    Other versions:
  24. Baillie, R.T. & Bollerslev, T., 1989. "Intra Day And Inter Market Volatility In Foreign Exchange Rates," Papers 8811, Michigan State - Econometrics and Economic Theory.
    Other versions:
  25. Barndorf-Nielsen, O.E. & Shephard, N., 1998. "Aggregation and Model Construction for Volatility Models," Economics Papers 141, Economics Group, Nuffield College, University of Oxford.
  26. Comte, F. & Renault, E., 1996. "Long memory continuous time models," Journal of Econometrics, Elsevier, vol. 73(1), pages 101-149, July. [Downloadable!] (restricted)
  27. Michael Melvin & Bettina Peiers Melvin, 2003. "The Global Transmission of Volatility in the Foreign Exchange Market," The Review of Economics and Statistics, MIT Press, vol. 85(3), pages 670-679, 03. [Downloadable!] (restricted)
  28. Bollerslev, Tim & Domowitz, Ian, 1993. " Trading Patterns and Prices in the Interbank Foreign Exchange Market," Journal of Finance, American Finance Association, vol. 48(4), pages 1421-43, September. [Downloadable!] (restricted)
Full references

Statistics
Access and download statistics

Did you know? All the bibliographic data shown here has been contributed by volunteers, thereby helping to keep this service free.

This page was last updated on 2008-10-3.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.