题名

條件變幅極端值法在期貨保證金估計之應用

并列篇名

Conditional Range-based Extreme Value Approach and the Application in Futures Margin Settings

作者

周恆志(Heng-Chih Chou)

关键词

變幅 ; ACARR模型 ; 期貨價格行為 ; 條件變幅極端值法 ; 條件極端值法 ; Price Range ; ACARR Model ; Price Behavior of Futures ; Conditional Range-based Extreme Value Approach ; Conditional Extreme Value Approach

期刊名称

管理與系統

卷期/出版年月

19卷1期(2012 / 01 / 01)

页次

1 - 27

内容语文

繁體中文

中文摘要

本文以日內價格變幅資料為基礎,提出兩階段條件變幅極端值法,結合不對稱變幅自我相關(ACARR)模型與極端值理論,藉以刻劃期貨價格變幅的條件異質變異性與極端值行為。本文以臺灣期交所臺指期貨與新加坡期交所摩根臺指期貨作為對比樣本,無論在樣本內回溯測試,或是樣本外預期損失的估計上,本文所提出的條件變幅極端值法,其績效皆優於McNeil and Frey (2000)所提出以報酬率為基礎的條件極端值法。其次,本文亦探討漲跌幅限制對期貨價格行為與模型適用性的影響,評比結果發現7%漲跌幅限制截斷了臺指期貨的極端價格,而且McNeil and Frey(2000)的條件極端值法常會估計出超過漲跌幅限制的價格變化;相對地本文所提出的條件變幅極端值法所估計的價格變化較為合理。這些結果皆顯示本文所提出的條件變幅極端值法較不受漲跌幅限制的影響,支持條件變幅極端值法在刻劃期貨價格過程的優越性。

英文摘要

The article proposes a two-step conditional range-based extreme value approach, which combines the range-based ACARR and extrem value theory. The conditional range-based extreme value approach is applied to examine the hetrosdacasity and the extreme price behavior of futures. Both Taiwan Stock Index Futures and MSCI-Taiwan Stock Index Futures are treated as comparison samples and both the in-sample backtesting and out-of-sample expected loss forecasting indicate that the conditional range-based extreme value approach performs better than McNeil & Frey's (2000) conditional extreme value approach. Furthermore, regarding the impact of price limit mechanism on the price behaviour of futures and the two alternative extreme value approaches, the empirical results show that 7% price limit mechanism trauncates the extreme price of Taiwan Stock Index Futures, and they also support the superiority of the conditional range-based extreme value approach. These findings demonstrate that the conditional range-based extreme value approach is more robust, especially in descrebing the process of the future's price.

主题分类 基礎與應用科學 > 統計
社會科學 > 財金及會計學
社會科學 > 管理學
参考文献
  1. 周雨田、巫春洲、劉炳麟(2004)。動態波動模型預測能力之比較與實證。財務金融學刊,12(1),1-23。
    連結:
  2. Fisher, R. A. and Tippett, L. H. C., “Limiting Forms of the Frequency Distribution of the Largest or Smallest Member of a Sample,” Proceedings of the Cambridge Philosophical Society, Vol. 24, 1928, pp. 180-190.
  3. Alizadeh, S.,Brandt, M.,Diebold, F.(2002).Range-based Estimation of Stochastic Volatility Models.Journal of Finance,57(3),1047-1091.
  4. Anderson, T.,Bollerslev, T.(1998).Answering the Skeptics: Yes, Standard Volatility Models Do Provide Accurate Forecasts.International Economics Review,39(4),885-905.
  5. Artzner, Ph.,Delbaen, F.,Eber, J.-M.,Heath, D.(1999).Conerent Measures of Risk.Mathematical Finance,9(3),203-228.
  6. Artzner, Ph.,Delbaen, F.,Eber, J.-M.,Heath, D.(1997).Thinking Coherently.Risk,10(11),68-71.
  7. Bali, T. G.(2003).An Extreme Value Approach to Estimating Volatility and Value at Risk.Journal of Business,76(1),83-108.
  8. Ball, C.,Tourus, W.(1984).The Maximum Likelihood Estimation of Security Price Volatility: Theory, Evidence, and Application to Option Pricing.Journal of Business,57(1),97-112.
  9. Bates, D.,Craine, R.(1999).Valuing the Futures Market Clearinghouse's Default Exposure during the 1987 Crash.Journal of Money, Credit and Banking,31,248-272.
  10. Beckers, S.(1983).Variance of Security Price Returns Based on High, Low and Closing Prices.Journal of Business,56(1),97-112.
  11. Billio, M.,Pelizzon, L.(2000).Value-at-Risk: A Multivariate Switching Regime Approach.Journal of Empirical Finance,7(5),531-554.
  12. Bollerslev, T.,Wooldridge, J.(1992).Quasi-maximum Likelihood Estimation and Inference in Dynamic Models with Time Varying Covariances.Econometric Reviews,11(2),143-172.
  13. Booth, G. G.,Broussard, J. P.,Martikainen, T.,Puttonen, V.(1997).Prudent Margin Levels in the Finnish Stock Index Futures Market.Management Science,43(8),1177-1188.
  14. Brandt, M. W.,Jones, C. S.(2006).Volatility Forecasting with Ranged-Based EGARCH Models.Journal of Business and Economic Statistics,24(4),470-486.
  15. Brennan, M. J.(1986).A Theory of Price Limits in Futures Markets.Journal of Finance Economics,16(2),213-233.
  16. British Bankers'' Association,Risk Books(1999).Internal Modelling and CAD II.RISK Books.
  17. Broussard, J. P.(2001).Extreme-Value and Margin Setting with and without Price Limits.The Quarterly Review of Economics and Finance,41(3),365-385.
  18. Broussard, J. P.,Booth, G. G.(1998).The Behavior of Extreme Values in German Stock Index Futures: An Application to Margin Setting.Journal of Operational Research,104(3),393-402.
  19. Chou, R. Y.(2006).Modeling the Asymmetry of Stock Movements Using Price Ranges.Advances in Econometrics,20,231-257.
  20. Chou, R. Y.(2005).Forecasting Financial Volatilities with Extreme Values: the Conditional Autoregressive Range (CARR) Model.Journal of Money, Credit and Banking,37(3),561-582.
  21. Chou, R. Y.,Wu, C. C.,Liu, N.(2009).Forecasting Correlation and Ccovariance with a Range-based Dynamic Conditional Correlation Model.Review of Quantitative Finance and Accounting,33(4),327-345.
  22. Cotter, J.(2001).Margin Exceedences for European Stock Index Futures Using Extreme Value Theory.Journal of Banking and Finance,25(8),1474-1502.
  23. Cotter, J.,Mckillop, D. G.(2000).The Distributional Characteristics of a Selection of Contracts Traded on the London International Financial Futures Exchange.Journal of Business Finance and Accounting,27(3-4),487-510.
  24. Danielsson, J.,de Vries, C. G.(1997).Tail Index and Quantile Estimation with Very High Frequency Data.Journal of Empirical Finance,4(2-3),241-257.
  25. Dickey, D.,Fuller, W.(1979).Distribution of the Estimators for Autoregressive Time Series with a Unit Root.Journal of the American Statistical Association,74(366),427-431.
  26. Embrechts, P.(2000).Extreme Value Theory: Potential and Limitations as an Integrated Risk Management Tool.Derivatives Use, Trading and Regulation,6(1),449-456.
  27. Embrechts, P.,Resnick, S.,Samorodnitsky, G.(1999).Extreme Value Theory as a Risk Management Tool.North American Actuarial Journal,3(2),30-41.
  28. Engel, J.,Gizycki, M.(1999).,Australian Prudential Regulation Authority.
  29. Engle, R. F.(2002).Dynamic Conditional Correlation: A Simple Class of Multivariate GARCH Models.Journal of Business and Economic Statistics,20(3),339-350.
  30. Engle, R. F.,Russell, J.(1998).Autoregressive Conditional Duration: A New Model for Irregularly Spaced Transaction Data.Econometrica,66(5),1127-1162.
  31. Fenn, G.,Kupiec, P.(1993).Prudential Margin Policy in a Future-style Settlement System.Journal of Futures Markets,13(4),389-408.
  32. Figlewski, S.(1984).Margin and Market Integrity: Margin Setting for Stock Index Futures and Options.The Journal of Future Markets,43(3),385-416.
  33. Gallant, A. R.,Hsu, C.-T.,Tauchen, G.(1999).Using Daily Range Data to Calibrate Volatility Diffusions and Extract the Forward Integrated Variance.Review of Economics and Statistics,81(4),617-631.
  34. Garman, M. B.,Klass, M. J.(1980).On the Estimation of Security Price Volatilities from Historical Data.Journal of Business,53(1),67-78.
  35. Gay, G. D.,Hunter, W. C.,Kolb, R. W.(1986).A Comparative Analysis of Futures Contract Margins.Journal of Futures Markets,6(2),307-324.
  36. Ghose, D.,Kroner, K. F.(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.
  37. Grammatikos, T.,Saunders, A.(1986).Futures Price Variability: A Test of Maturity and Volume Effects.Journal of Business,59(2),319-330.
  38. Guermat, C.,Harris, R.(2002).Robust Conditional Variance Estimation and Value-at-Risk.Journal of Risk,4(2),25-41.
  39. Hendricks, D.(1996).Evaluation of Value-at-Risk Models Using Historical Data.Federal Reserve Bank of New York Economic Policy Review,1996(April),39-69.
  40. Jenkinson, A. F.(1995).The Frequency Distribution of the Annual Maximum (or Minimum) Values of Meteorological Elements.Quarterly Journal of the Royal Meteorological Society,81(348),145-158.
  41. Kupiec, P. H.(1995).Techniques for Verifying the Accuracy of Risk Measurement Models.Journal of Derivatives,3(2),73-84.
  42. Lauridsen, S.(2000).Estimation of Value at Risk by Extreme Value Methods.Extremes,3(2),107-144.
  43. Leadbetter, M. R.,Lindgren, G.,Rootzen, H.(1983).Extremes and Related Properties of Random Sequences and Processes.New York, NY:Springer.
  44. Longin, F.(1999).Optimal Margin Levels in Futures Markets: Extreme Price Movements.Journal of Futures Markets,19(1),127-152.
  45. Loretan, M.,Phillips, P. C. B.(1994).Testing the Covariance Stationarity of Heavy-tailed Time Series.Journal of Empirical Finance,1(2),211-248.
  46. McNeil, A. J.(1997).Estimating the Tails of Loss Severity Distributions Using Extreme Value Theory.ASTIN Bulletin,27(1),117-137.
  47. McNeil, A. J.,Frey, R.(2000).Estimation of Tail-Related Risk Measures for Heteroscedastic Financial Time Series: An Extreme Value Approach.Journal of Empirical Finance,7(3-4),271-300.
  48. Morgan, I. G.,Trevor, R. G.(1999).Limit Moves in Futures Markets as Censored Observations in GARCH Processes.Journal of Business and Economic Statistics,17(4),397-408.
  49. Neftci, S. N.(2000).Value at Risk Calculations, Extremes Events, and Tail Estimation.Journal of Derivatives,7(3),23-37.
  50. Parkinson, M.(1980).The Extreme Value Method for Estimating the Variance of the Rate of Return.Journal of Business,53(1),61-65.
  51. Phillips, P. C. B.,Perron, P.(1988).Testing for a Unit Root in Time Series Regression.Biometrika,75(2),335-346.
  52. Sadorsky, P.(2005).Stochastic Volatility Forecasting and Risk Management.Applied Financial Economics,15(2),121-135.
  53. Shanker, L.,Balakrishnan, N.(2005).Price Limits and Capital Requirements of Futures Clearinghouses.European Journal of Operations Research,168(1),281-290.
  54. Yang, S. R.,Brorsen, B. W.(1993).Nonlinear Dynamics of Daily Futures Prices: Conditional Heteroscedasticity or Chaos?.Journal of Futures Markets,13(2),175-191.
  55. 周恆志、曹懋鍇(2004)。極端值理論於指數期貨保證金設定上之應用。亞太社會科技學報,4(1),69-94。
  56. 周恆志、陳勝源(2004)。期貨價格漲跌幅限制與極值理論於保證金設定之應用。風險管理學報,6(2),207-228。