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A parsimonious parametric model for generating margin requirements for futures

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  • Alexander, Carol
  • Kaeck, Andreas
  • Sumawong, Anannit

Abstract

Major exchanges employ the Standard Portfolio Analysis of Risk (SPAN) software to measure maintenance margins. However, its methodology has become cumbersome and opaque, having evolved over several decades and by now it requires that several hundred parameter values are re-set every day. We present a new, parsimonious parametric model for calculating margin requirements for futures which has a rigorous econometric foundation, being derived entirely from the median tail loss (MTL) of the returns distribution. This facilitates maximum likelihood volatility model calibration and state-of-the-art backtests. Then the parameters of the margin scheme which overlays the MTL may be calibrated using a variety of objectives. We examine three such objectives, including two which are designed to generate margins which mimic SPAN.

Suggested Citation

  • Alexander, Carol & Kaeck, Andreas & Sumawong, Anannit, 2019. "A parsimonious parametric model for generating margin requirements for futures," European Journal of Operational Research, Elsevier, vol. 273(1), pages 31-43.
    • Handle: RePEc:eee:ejores:v:273:y:2019:i:1:p:31-43
    DOI: 10.1016/j.ejor.2018.08.006
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    as
    1. Lester G. Telser, 1981. "Margins and futures contracts," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 1(2), pages 225-253, June.
    2. Paul H. Kupiec, 1994. "The performance of S&P 500 futures product margins under the SPAN margining system," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 14(7), pages 789-811, October.
    3. Hsieh, David A & Miller, Merton H, 1990. "Margin Regulation and Stock Market Volatility," Journal of Finance, American Finance Association, vol. 45(1), pages 3-29, March.
    4. Nelson, Daniel B., 1990. "ARCH models as diffusion approximations," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 7-38.
    5. Gneiting, Tilmann, 2011. "Making and Evaluating Point Forecasts," Journal of the American Statistical Association, American Statistical Association, vol. 106(494), pages 746-762.
    6. Markus K. Brunnermeier & Lasse Heje Pedersen, 2009. "Market Liquidity and Funding Liquidity," The Review of Financial Studies, Society for Financial Studies, vol. 22(6), pages 2201-2238, June.
    7. Brennan, Michael J., 1986. "A theory of price limits in futures markets," Journal of Financial Economics, Elsevier, vol. 16(2), pages 213-233, June.
    8. Paul H. Kupiec, 1993. "Futures margins and stock price volatility: Is there any link?," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 13(6), pages 677-691, September.
    9. Hardouvelis, Gikas A, 1990. "Margin Requirements, Volatility, and the Transitory Components of Stock Prices," American Economic Review, American Economic Association, vol. 80(4), pages 736-762, September.
    10. Johanna F. Ziegel, 2016. "Coherence And Elicitability," Mathematical Finance, Wiley Blackwell, vol. 26(4), pages 901-918, October.
    11. Paul H. Kupiec & A. Patricia White, 1996. "Regulatory competition and the efficiency of alternative derivative product margining systems," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 16(8), pages 943-968, December.
    12. Tobias Adrian & Hyun Song Shin, 2014. "Procyclical Leverage and Value-at-Risk," The Review of Financial Studies, Society for Financial Studies, vol. 27(2), pages 373-403.
    13. Lam, Kin & Yu, P.L.H. & Lee, P.H., 2010. "A margin scheme that advises on when to change required margin," European Journal of Operational Research, Elsevier, vol. 207(1), pages 524-530, November.
    14. Kate Phylaktis & Antonis Aristidou, 2013. "Margin Changes and Futures Trading Activity: a New Approach," European Financial Management, European Financial Management Association, vol. 19(1), pages 45-71, January.
    15. Peter R. Hansen & Asger Lunde & James M. Nason, 2011. "The Model Confidence Set," Econometrica, Econometric Society, vol. 79(2), pages 453-497, March.
    16. Chen, Qian & Gerlach, Richard & Lu, Zudi, 2012. "Bayesian Value-at-Risk and expected shortfall forecasting via the asymmetric Laplace distribution," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3498-3516.
    17. Robert Cox & Richard Heckinger & David A. Marshall, 2016. "Cleared Margin Setting at Selected Central Counterparties," Economic Perspectives, Federal Reserve Bank of Chicago, issue 4.
    18. Nicolae Gârleanu & Lasse Heje Pedersen, 2011. "Margin-based Asset Pricing and Deviations from the Law of One Price," The Review of Financial Studies, Society for Financial Studies, vol. 24(6), pages 1980-2022.
    19. Clements, Michael P. & Galvão, Ana Beatriz & Kim, Jae H., 2008. "Quantile forecasts of daily exchange rate returns from forecasts of realized volatility," Journal of Empirical Finance, Elsevier, vol. 15(4), pages 729-750, September.
    20. Louzis, Dimitrios P. & Xanthopoulos-Sisinis, Spyros & Refenes, Apostolos P., 2014. "Realized volatility models and alternative Value-at-Risk prediction strategies," Economic Modelling, Elsevier, vol. 40(C), pages 101-116.
    21. Fulvio Corsi, 2009. "A Simple Approximate Long-Memory Model of Realized Volatility," Journal of Financial Econometrics, Oxford University Press, vol. 7(2), pages 174-196, Spring.
    22. Christoffersen, Peter F, 1998. "Evaluating Interval Forecasts," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 841-862, November.
    23. Murphy, David & Vasios, Michalis & Vause, Nicholas, 2016. "A comparative analysis of tools to limit the procyclicality of initial margin requirements," Bank of England working papers 597, Bank of England.
    24. Gerald D. Gay & William C. Hunter & Robert W. Kolb, 1986. "A comparative analysis of futures contract margins," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 6(2), pages 307-324, June.
    25. Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993. "On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, American Finance Association, vol. 48(5), pages 1779-1801, December.
    26. Daskalaki, Charoula & Skiadopoulos, George, 2016. "The effects of margin changes on commodity futures markets," Journal of Financial Stability, Elsevier, vol. 22(C), pages 129-152.
    27. Yang-Ho Park & Nicole Abruzzo, 2016. "An Empirical Analysis of Futures Margin Changes: Determinants and Policy Implications," Journal of Financial Services Research, Springer;Western Finance Association, vol. 49(1), pages 65-100, February.
    28. Robin K. Chou & George H. K. Wang & Yun‐Yi Wang, 2015. "The Effects of Margin Changes on the Composition of Traders and Market Liquidity: Evidence from the Taiwan Futures Exchange," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 35(10), pages 894-915, October.
    29. Kin Lam & Chor‐Yiu Sin & Rico Leung, 2004. "A theoretical framework to evaluate different margin‐setting methodologies," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 24(2), pages 117-145, February.
    30. Stephen Figlewski, 1984. "Margins and market integrity: Margin setting for stock index futures and options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 4(3), pages 385-416, September.
    31. Kumar, Raman & Ferris, Stephen P & Chance, Don M, 1991. "The Differential Impact of Federal Reserve Margin Requirements on Stock Return Volatility," The Financial Review, Eastern Finance Association, vol. 26(3), pages 343-366, August.
    32. G. Geoffrey Booth & John Paul Broussard & Teppo Martikainen & Vesa Puttonen, 1997. "Prudent Margin Levels in the Finnish Stock Index Futures Market," Management Science, INFORMS, vol. 43(8), pages 1177-1188, August.
    33. 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.
    34. George J. Jiang & Yisong S. Tian, 2005. "The Model-Free Implied Volatility and Its Information Content," The Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1305-1342.
    35. Daníelsson, Jón & Jorgensen, Bjørn N. & Samorodnitsky, Gennady & Sarma, Mandira & de Vries, Casper G., 2013. "Fat tails, VaR and subadditivity," Journal of Econometrics, Elsevier, vol. 172(2), pages 283-291.
    36. Tilmann Gneiting & Roopesh Ranjan, 2011. "Comparing Density Forecasts Using Threshold- and Quantile-Weighted Scoring Rules," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(3), pages 411-422, July.
    37. Rytchkov, Oleg, 2016. "Time-Varying Margin Requirements and Optimal Portfolio Choice," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 51(2), pages 655-683, April.
    38. Day, Theodore E & Lewis, Craig M, 1997. "Initial Margin Policy and Stochastic Volatility in the Crude Oil Futures Market," The Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 303-332.
    39. Murphy, David & Vasios, Michalis & Vause, Nick, 2014. "Financial Stability Paper No 29: An investigation into the procyclicality of risk-based initial margin models," Bank of England Financial Stability Papers 29, Bank of England.
    40. Paul Embrechts & Sidney Resnick & Gennady Samorodnitsky, 1999. "Extreme Value Theory as a Risk Management Tool," North American Actuarial Journal, Taylor & Francis Journals, vol. 3(2), pages 30-41.
    41. Largay, James A, III & West, Richard R, 1973. "Margin Changes and Stock Price Behavior," Journal of Political Economy, University of Chicago Press, vol. 81(2), pages 328-339, Part I, M.
    42. Gikas A. Hardouvelis & Panayiotis Theodossiou, 2002. "The Asymmetric Relation Between Initial Margin Requirements and Stock Market Volatility Across Bull and Bear Markets," The Review of Financial Studies, Society for Financial Studies, vol. 15(5), pages 1525-1560.
    43. Darrell Duffie & Haoxiang Zhu, 2011. "Does a Central Clearing Counterparty Reduce Counterparty Risk?," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 1(1), pages 74-95.
    44. Steven Kou & Xianhua Peng, 2014. "Expected shortfall or median shortfall," Journal of Financial Engineering (JFE), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 1-6.
    45. Gibson, Rajna & Murawski, Carsten, 2013. "Margining in derivatives markets and the stability of the banking sector," Journal of Banking & Finance, Elsevier, vol. 37(4), pages 1119-1132.
    46. Nieto, Maria Rosa & Ruiz, Esther, 2016. "Frontiers in VaR forecasting and backtesting," International Journal of Forecasting, Elsevier, vol. 32(2), pages 475-501.
    47. Saralees Nadarajah & Bo Zhang & Stephen Chan, 2014. "Estimation methods for expected shortfall," Quantitative Finance, Taylor & Francis Journals, vol. 14(2), pages 271-291, February.
    48. Steven Kou & Xianhua Peng & Chris C. Heyde, 2013. "External Risk Measures and Basel Accords," Mathematics of Operations Research, INFORMS, vol. 38(3), pages 393-417, August.
    49. Galai, Dan, 1979. "A Proposal for Indexes for Traded Call Options," Journal of Finance, American Finance Association, vol. 34(5), pages 1157-1172, December.
    50. François M. Longin, 1999. "Optimal margin level in futures markets: Extreme price movements," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 19(2), pages 127-152, April.
    51. Gneiting, Tilmann & Ranjan, Roopesh, 2011. "Comparing Density Forecasts Using Threshold- and Quantile-Weighted Scoring Rules," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(3), pages 411-422.
    52. Chiu, Chien-Liang & Chiang, Shu-Mei & Hung, Jui-Cheng & Chen, Yu-Lung, 2006. "Clearing margin system in the futures markets—Applying the value-at-risk model to Taiwanese data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 353-374.
    53. Eckardt, Walter L, Jr & Rogoff, Donald L, 1976. "100" Margins Revisited," Journal of Finance, American Finance Association, vol. 31(3), pages 995-1000, June.
    54. Y. C. Su & H. C. Huang & Y. J. Lin, 2011. "GJR-GARCH model in value-at-risk of financial holdings," Applied Financial Economics, Taylor & Francis Journals, vol. 21(24), pages 1819-1829, December.
    55. Jürg Mägerle & Dr. Thomas Nellen, 2011. "Interoperability between central counterparties," Working Papers 2011-12, Swiss National Bank.
    56. Giovanni Barone‐Adesi & Kostas Giannopoulos & Les Vosper, 2002. "Backtesting Derivative Portfolios with Filtered Historical Simulation (FHS)," European Financial Management, European Financial Management Association, vol. 8(1), pages 31-58, March.
    57. Broussard, John Paul & Booth, G. Geoffrey, 1998. "The behavior of extreme values in Germany's stock index futures: An application to intradaily margin setting," European Journal of Operational Research, Elsevier, vol. 104(3), pages 393-402, February.
    58. Nahai-Williamson, Paul & Ota, Tomohiro & Vital, Mathieu & Wetherilt, Anne, 2013. "Financial Stability Paper No 19: Central counterparties and their financial resources – a numerical approach," Bank of England Financial Stability Papers 19, Bank of England.
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