Munich Personal RePEc Archive Margin Exceedences for European Stock Index Futures using Extreme Value Theory Cotter, John University College Dublin 2000 Online at https://mpra.ub.uni-muenchen.de/3534/ MPRA Paper No. 3534, posted 13 Jun 2007 UTC Margin Exceedences for European Stock Index Futures using Extreme Value Theory JOHN COTTER1 University College Dublin Abstract 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. JEL Classification: G15 Keywords: Stock Index Futures; Extreme Value Theory; Margin Levels. Acknowledgements: The author would like to thank Donal McKillop for his helpful comments on this paper. 1 Tel.: +353-1-7068900; fax: +353 1 283 5482; e-mail:
[email protected] 1 Margin Exceedences for European Stock Index Futures using Extreme Value Theory 1. Introduction The commercial strength of Futures Exchanges necessitates that there be a trade-off between optimising liquidity and prudence. The imposition of margins is the mechanism by which these objectives are met. The margin requirement represents a deposit that brokers, and consequentially traders enter into prior to trading.