Spectral Risk Measures with an Application to Futures Clearinghouse Variation Margin Requirements
This paper applies an AR(1)-GARCH (1, 1) process to detail the conditional distributions of the return distributions for the S&P500, FT100, DAX, Hang Seng, and Nikkei225 futures contracts. It then uses the conditional distribution for these contracts to estimate spectral risk measures, which are coherent risk measures that reflect a user’s risk-aversion function. It compares these to more familiar VaR and Expected Shortfall (ES) measures of risk, and also compares the precision and discusses the relative usefulness of each of these risk measures in setting variation margins that incorporate time-varying market conditions. The goodness of fit of the model is confirmed by a variety of backtests.
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| Length: | |
| Date of creation: | 2006 |
| Handle: | RePEc:pra:mprapa:3495 |
| Contact details of provider: | Postal: Ludwigstraße 33, D-80539 Munich, Germany Phone: +49-(0)89-2180-2459 Fax: +49-(0)89-2180-992459 Web page: https://mpra.ub.uni-muenchen.de More information through EDIRC
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- Brennan, Michael J., 1986. "A theory of price limits in futures markets," Journal of Financial Economics, Elsevier, vol. 16(2), pages 213-233, June.
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"Extreme spectral risk measures: An application to futures clearinghouse margin requirements,"
Journal of Banking & Finance,
Elsevier, vol. 30(12), pages 3469-3485, December.
- Cotter, JOhn & Dowd, Kevin, 2006. "Extreme Spectral Risk Measures: An Application to Futures Clearinghouse Margin Requirements," MPRA Paper 3505, University Library of Munich, Germany.
- John Cotter & Kevin Dowd, 2011. "Extreme Spectral Risk Measures: An Application to Futures Clearinghouse Margin Requirements," Papers 1103.5653, arXiv.org.
- John Cotter & Kevin Dowd, 2011. "Extreme Spectral Risk Measures: An Application to Futures Clearinghouse Margin Requirements," Working Papers 200516, Geary Institute, University College Dublin.
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- John Cotter, 2011. "Varying the VaR for Unconditional and Conditional Environments," Papers 1103.5649, arXiv.org.
- John Cotter, 2011. "Varying the VaR for Unconditional and Conditional Environments," Working Papers 200419, Geary Institute, University College Dublin.
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- Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
- Giannopoulos, Kostas & Tunaru, Radu, 2005. "Coherent risk measures under filtered historical simulation," Journal of Banking & Finance, Elsevier, vol. 29(4), pages 979-996, April.
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- Theodore E. Day, 2004. "Margin Adequacy and Standards: An Analysis of the Crude Oil Futures Market," The Journal of Business, University of Chicago Press, vol. 77(1), pages 101-136, January.
- Bates, David & Craine, Roger, 1999. "Valuing the Futures Market Clearinghouse's Default Exposure during the 1987 Crash," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(2), pages 248-272, May. Full references (including those not matched with items on IDEAS)
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