Cotter, John (2000): Margin Exceedences for European Stock Index Futures using Extreme Value Theory. Published in: Journal of Banking and Finance , Vol. 25, No. 8 (2001): pp. 1475-1502.
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Futures exchanges require a margin requirement that ensures their competitiveness and protects against default risk. This paper applies extreme value theory in computing unconditional optimal margin levels for a selection of stock index futures traded on European exchanges. The theoretical framework focuses explicitly on tail returns, thereby properly accounting for large levels of risk in measuring prudent margin levels. The paper finds that common margin requirements are sufficient for each contract, with the exception of the Norwegian OBX index, in providing equitable costs for traders. In addition, the paper shows the underestimation bias in margin levels that are calculated assuming normality. Differing margin requirements reflect the unconditional and conditional trading environments.
|Item Type:||MPRA Paper|
|Institution:||University College Dublin|
|Original Title:||Margin Exceedences for European Stock Index Futures using Extreme Value Theory|
|Subjects:||G - Financial Economics > G0 - General > G00 - General|
|Depositing User:||John Cotter|
|Date Deposited:||13. Jun 2007|
|Last Modified:||12. Feb 2013 01:50|
Brennan, M. J., 1986. A Theory of Price Limits in Futures Markets, Journal of Financial Economics, 16, 213-233. Booth, G. G., Brousssard, J. P., Martikainen, T., and V. Puttonen, 1997. Prudent Margin Levels in the Finnish Stock Index Futures Market, Management Science, 43, 1177-1188. Cotter, J., 1998. Testing Distributional Models for the Irish Equity Market, Economic and Social Review, 29, 257-269. Cotter, J., 1999. Conditional and Unconditional Risk Management Estimates for European Stock Index Futures, Mimeo, University College Dublin, Ireland. Cotter, J. and D.G. McKillop, 2000. The Distributional Characteristics of a Selection of Contracts Traded on the London International Financial Futures Exchange, Journal of Business Finance and Accounting, Forthcoming. Danielsson, J and C. G. de Vries, 1997a. Value at Risk and Extreme Returns, London School of Economics, Financial Markets Group Discussion Paper, No. 273. Danielsson, J and C. G. de Vries, 1997b. Tail Index and Quantile Estimation with very high frequency data, Journal of Empirical Finance, 4, 241-257. Danie lsson, J and C. G. de Vries, 1997c. Beyond the Sample: Extreme Quantile and Probability Estimation, Mimeo, Timbergen Institute Rotterdam, Holland. 27 Dewachter, H. and G. Gielens, 1999. Setting Futures Margins: The Extremes Approach, Applied Financial Economics, 9, 173-181. Ding, Z., and C. W. J. Granger, 1996. Modelling Volatility Persistence of Speculative Returns: A new approach, Journal of Econometrics, 73, 185-215. Duffie, D., 1989. Futures Markets, (Prentice Hall, New York). Duffie, D. and J. Pan, 1997., An Overview of Value at Risk, Journal of Derivatives, 4, 7-49. Edwards, F. R. and S. N. Neftci, 1988. Extreme Price Movements and Margin Levels in Futures Markets, Journal of Futures Markets, 8, 639-655. Embrechts, P., C. Kluppelberg and T. Mikosch, 1997. Modelling Extremal Events, (Springer Verlag, Berlin). Feller, W., 1971. An Introduction to Probability Theory and its Applications, (John Wiley, New York). Gay, G. D., W. C. Hunter, and R. W. Kolb, 1986. A Comparative Analysis of Futures Contract Margins, Journal of Futures Markets, 6, 307-324. Ghose, D., and K. F. Kroner, 1995. The Relationship between GARCH and Symmetric Stable Processes: Finding the Source of Fat Tails in Financial Data, Journal of Empirical Finance, 2. 225-251. Gumbell, E. J., 1958. Statistics of Extremes, (Columbia University Press, New York). Hall, J. A., B. W. Brorsen, and S. H. Irwin, 1989. The Distribution of Futures Prices: A test of the Stable Paretian and Mixture of Normals Hypothesis, Journal of Financial and Quantitative Analysis, 24, 105-116. Hall, P., 1982. On some simple Estimates of an Exponent of Regular Variation, Journal of the Royal Statistical Society, Series B, 44, 37-42. 28 Hill, B. M., 1975. A Simple General Approach to Inference about the Tail of a Distribution, Annals of Statistics, 3, 1163-1174. Hols, M. C. A. B and C. G. De Vries, 1991. The Limiting Distribution of Extremal Exchange Rates Returns, Journal of Applied Econometrics, 6, 287-302. Hull, J., and A. White, 1998. Value at Risk when Daily Changes in Market Variables are not Normally Distributed, Journal of Derivatives, 9, 9-19. Kearns, P., and A. Pagan, 1997. Estimating the Density Tail Index for Financial Time Series, The Review of Economics and Statistics, 79, 171-175. Koedijk, K. G. and C. J. M. Kool, 1992. Tail Estimates of East European Exchange Rates, Journal of Business and Economic Statistics, 10, 83-96. Kupiec, P. H. and A. P. White, 1996. Regulatory Competition and the Efficiency of Alternative Derivative Product Margining Systems, Journal of Futures Markets, 16, 943-968. Leadbetter, M. R., G. Lindgren and H. Rootzen, 1983. Extremes and Related Properties of Random Sequences and Processes, (Springer Verlag, New York). Longin, F., 1999a. Optimal Margin Levels in Futures Markets: Extreme Price Movements, Journal of Futures Markets, 19, 127-152. Longin, F., 1999b. From Value at Risk to Stress Testing: The Extreme Value Approach, Journal of Banking and Finance, Forthcoming. Loretan, M. and P. C. B. Phillips, 1994. Testing the Covariance Stationarity of Heavytailed Time Series, Journal of Empirical Finance, 1, 211-248. Lux, T., 1996. The Stable Paretian Hypothesis and the Frequency of Large Returns: An Analysis of Major German Stocks, Applied Financial Economics, 6, 463-475. Pagan, A., 1996. The Econometrics of Financial Markets, Journal of Empirical Finance, 3, 15-102. 29 Phillips, P. C. B., J. W. McFarland, and P. C. McMahon, 1996. Robust Tests of Forward Exchange Market Efficiency with Empirical Evidence from the 1920s, Journal of Applied Econometrics, 11, 1 - 22. Taylor, S. J., 1986. Modelling Financial Time Series, (Wiley, London). Venkataraman, S., 1997. Value at Risk for a Mixture of Normal Distributions: The use of Quasi-bayesian Estimation Techniques, Federal Reserve Bank of Chicago's Economic Pers pectives, March/April, 2-13. Vosper, L., 1995. Margin Level: Commentary, Proceedings of the Seventh Chicago Board of Trade Conference on Futures and Options, Bonn. Yang, S. R. and B. W. Brorsen, 1993. Nonlinear Dynamics of Daily Futures Prices: Conditional heterokedasticity of Chaos? Journal of Futures Markets, 13, 175-191.