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Abstract

Key to the imposition of appropriate minimum capital requirements on a daily basis requires accurate volatility estimation. Here, measures are presented based on discrete estimation of aggregated high frequency UK futures realisations underpinned by a continuous time framework. Squared and absolute returns are incorporated into the measurement process so as to rely on the quadratic variation of a diffusion process and be robust in the presence of fat tails. The realized volatility estimates incorporate the long memory property. The dynamics of the volatility variable are adequately captured. Resulting rescaled returns are applied to minimum capital requirement calculations.

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File URL: http://www.ucd.ie/geary/static/publications/workingpapers/gearywp200418.pdf
File Function: First version, 2004
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Bibliographic Info

Paper provided by Geary Institute, University College Dublin in its series Working Papers with number 200418.

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Length: 44 pages
Date of creation: 07 2011
Date of revision:
Handle: RePEc:ucd:wpaper:200418

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Find related papers by JEL classification:

• G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
• G0 - Financial Economics - - General

This paper has been announced in the following NEP Reports:

• NEP-ALL-2011-07-27 (All new papers)
• NEP-MST-2011-07-27 (Market Microstructure)
• NEP-RMG-2011-07-27 (Risk Management)

References

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1. Andersen T. G & Bollerslev T. & Diebold F. X & Labys P., 2001. "The Distribution of Realized Exchange Rate Volatility," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 42-55, March.
2. Drost, Feike C & Nijman, Theo E, 1993. "Temporal Aggregation of GARCH Processes," Econometrica, Econometric Society, vol. 61(4), pages 909-27, July.
   
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   • Drost, F.C. & Nijman, T.E., 1992. "Temporal aggregation of GARCH processes," Discussion Paper 1992-40, Tilburg University, Center for Economic Research.
   • Drost, F.C. & Nijman, T.E., 1993. "Temporal aggregation of GARCH processes," Open Access publications from Tilburg University urn:nbn:nl:ui:12-153273, Tilburg University.
   • Drost, F.C. & Nijman, T.E., 1990. "Temporal Aggregation Of Garch Processes," Papers 9066, Tilburg - Center for Economic Research.
   • Drost, F.C. & Nijman, T.E., 1992. "Temporal Aggregation of Garch Processes," Papers 9240, Tilburg - Center for Economic Research.
3. John Y. Campbell, 2001. "Have Individual Stocks Become More Volatile? An Empirical Exploration of Idiosyncratic Risk," Journal of Finance, American Finance Association, vol. 56(1), pages 1-43, 02.
   
   • Malkiel, Burton & Campbell, John & Lettau, Martin & Xu, Yexiao, 2001. "Have Individual Stocks Become More Volatile? An Empirical Exploration of Idiosyncratic Risk," Scholarly Articles 3128707, Harvard University Department of Economics.
   • John Y. Campbell & Martin Lettau & Burton G. Malkiel & Yexiao Xu, 2000. "Have Individual Stocks Become More Volatile? An Empirical Exploration of Idiosyncratic Risk," NBER Working Papers 7590, National Bureau of Economic Research, Inc.
4. Dimson, Elroy & Marsh, Paul, 1997. "Stress tests of capital requirements," Journal of Banking & Finance, Elsevier, vol. 21(11-12), pages 1515-1546, December.
   
   • Elroy Dimson & Paul Marsh, 1996. "Stress Tests of Capital Requirements," Center for Financial Institutions Working Papers 96-50, Wharton School Center for Financial Institutions, University of Pennsylvania.
5. Cotter, John, 2001. "Margin exceedences for European stock index futures using extreme value theory," Journal of Banking & Finance, Elsevier, vol. 25(8), pages 1475-1502, August.
   
   • Cotter, John, 2000. "Margin Exceedences for European Stock Index Futures using Extreme Value Theory," MPRA Paper 3534, University Library of Munich, Germany, revised 2001.
   • Cotter, John, 2001. "Margin exceedences for European stock index futures using extreme value theory," Open Access publications from University College Dublin urn:hdl:10197/1620, University College Dublin.
6. Ding, Zhuanxin & Granger, Clive W. J., 1996. "Modeling volatility persistence of speculative returns: A new approach," Journal of Econometrics, Elsevier, vol. 73(1), pages 185-215, July.
7. 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.
8. Dean P. Foster & Daniel B. Nelson, 1994. "Continuous Record Asymptotics for Rolling Sample Variance Estimators," NBER Technical Working Papers 0163, National Bureau of Economic Research, Inc.
   
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9. Hsieh, David A., 1993. "Implications of Nonlinear Dynamics for Financial Risk Management," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(01), pages 41-64, March.
10. Deo, Rohit S. & Hurvich, Clifford M., 2001. "On The Log Periodogram Regression Estimator Of The Memory Parameter In Long Memory Stochastic Volatility Models," Econometric Theory, Cambridge University Press, vol. 17(04), pages 686-710, August.
11. Andersen, Torben G. & Bollerslev, Tim & Cai, Jun, 2000. "Intraday and interday volatility in the Japanese stock market," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 10(2), pages 107-130, June.

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Cited by:

1. Cotter, John, 2004. "Absolute Return Volatility," MPRA Paper 3529, University Library of Munich, Germany, revised 2005.
   
   • John Cotter, 2011. "Absolute Return Volatility," Working Papers 200415, Geary Institute, University College Dublin.
   • John Cotter, 2011. "Absolute Return Volatility," Papers 1103.5976, arXiv.org.
   • Cotter, John, 2004. "Absolute Return Volatility," MPRA Paper 3530, University Library of Munich, Germany, revised 2005.
2. Cotter, John & Dowd, Kevin, 2007. "Estimating financial risk measures for futures positions: a non-parametric approach," MPRA Paper 3503, University Library of Munich, Germany.
   
   • john cotter & kevin dowd, 2011. "Estimating financial risk measures for futures positions: a non-parametric approach," Papers 1103.5666, arXiv.org.
   • John Cotter & Kevin Dowd, 2011. "Estimating Financial Risk Measures for Futures Positions:A Non-Parametric Approach," Working Papers 200613, Geary Institute, University College Dublin.
3. John Cotter & Francois Longin, 2011. "Margin Requirements with Intraday Dynamics," Working Papers 200519, Geary Institute, University College Dublin.
4. Cotter, John & Longin, Francois, 2004. "Margin setting with high-frequency data," MPRA Paper 3528, University Library of Munich, Germany, revised 2006.

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