ISSN: 2056-3736 (Online Version) | 2056-3728 (Print Version)

Hedging Effectiveness of Applying Constant and Time-Varying Hedge Ratios: Evidence from Taiwan Stock Index Spot and Futures

Dar-Hsin Chen, Leo Bin and Chun-Yi Tseng

Correspondence: Leo Bin, fbin1@uis.edu

Department of Business Administration, University of Illinois at Springfield, USA

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Abstract

This paper investigates the market-risk-hedging effectiveness of the Taiwan Futures Exchange (TAIFEX) stock index futures using daily settlement prices for the period from July 21, 1998 to December 31, 2010. The minimum variance hedge ratios (MVHRs) are estimated from the ordinary least squares regression model (OLS), the vector error correction model (VECM), the generalized autoregressive conditional heteroskedasticity model (GARCH), the threshold GARCH model (TGARCH), and the bivariate GARCH model (BGARCH), respectively. We employ a rolling sample method to generate the time-varying MVHRs for the out-of-sample period, associated with different hedge horizons, and compare across their hedging effectiveness and risk-return trade-off. In a one-day hedge horizon, the TGARCH model generates the greatest variance reduction, while the OLS model provides the highest rate of risk-adjusted return; in a longer hedge horizon, the OLS generates the largest variance reduction, while the BGARCH model provides the best risk-return trade-off. We find that the selection of appropriate models to measure the MVHRs depends on the degree of risk aversion and hedge horizon.

Keywords:

  Index Futures; Hedge Ratio; VECM model; GARCH model; Multivariate- GARCH model


References

Baillie, R.T. and Myers, R.J. (1991). Bivariate GARCH Estimation of the Optimal Commodity Futures Hedge. Journal of Applied Econometrics, 6, 109-124.Bollerslev, T. (1986).Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31, 307-327.Bollerslev, T., Engle, R.F. and Wooldridge, J.M. (1988).A Capital Asset Pricing Model with Time-Varying Covariances. Journal of Political Economy, 96, 116-131.Bera, A.K. and Roh, J.S. (1991).A Moment Test of the Consistency of the Correlation in the Bivariate GARCH Model. Working Paper, University of Illinois at Urbana-Champaign.Butterworth, D. and Holmes, P. (2001).The Hedging Effectiveness of Stock Index Futures: Evidence for The FTSE-100 and FTSE-mid250 Indexes Traded in The UK. Applied Financial Economics, 11, 57-68.Chou, W.L., Denis, K.F. and Lee, C.F. (1996).Hedging with the Nikkei Index Futures: The Conventional Model versus the Error Correction Model. Quarterly Review of Economics and Finance, 36, 495-505.DeJong, D.N. and Whiteman, C.H. (1991).The Case for Trend-Stationarityis Stronger than We Thought. Journal of Applied Econometrics, 6, 413-421.Dickey D.A. and Fuller, W.A. (1979).Distribution of The Estimators for Autoregressive Time Series with a Unit Root. Journal of the American Statistical Association, 74, 427-431.Enders, W. (1995).Applied Econometric Time Series. John Wiley and Sons, Inc.Engle, R.F. (1982). Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation. Econometrica, 50,987-1007.Engle, R.F. and Granger, C. (1987). Cointegration and Error Correction: Representation, Estimation and Testing. Econometrica, 55, 251-76.Figlewski, S. (1984).Hedging Performance and Basis Risk in Stock Index Futures. Journal of Finance, 39, 657-669.Ghosh, A. (1993a). Cointegration and Error Correction Models: Intertemporal Causality between Index and Futures Prices. Journal of Futures Markets, 13, 193-198.Ghosh, A. (1993b). Hedging with Stock Index Futures: Estimation and Forecasting with Error Correction Model.Journal of Futures Markets, 13, 743-752.Glosten, L.R., Jagannathan, R., and Runkle, D.E. (1993).On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks. Journal of Finance,48, 1779-1801.Herbst, A.F., Kare, D. and Marshall, J.F. (1993).A Time Varying, Convergence Adjusted, Minimum Risk Futures Hedge Ratio. Advances in Futures and Options Research, 6, 137-155.

Holmes, P. (1996). Stock Index Futures Hedging: Hedge Ratio Estimation, Duration Effects, Expiration Effects and Hedge Ratio Stability. Journal of Business Finance & Accounting, 23, 63-77.Johansen, S. and Juselius, K. (1990).Maximum Likelihood Estimation and Inference on Cointegration—with Applications to the Demand for Money. Oxford Bulletin of Economics and Statistics, 52, 169-210.Johnson, L.L. (1960). The Theory of Hedging and Speculation in Commodity Futures. Review of Economic Studies, 27, 139-151.Junkus, J.C. and Lee, C.F. (1985).Use of Three Stock Index Futures in Hedging Decisions. Journal of Futures Markets, 5, 201-222.Kenourgios, D., Samitas, A. and Drosos, P. (2008). Hedge Ratio Estimation and Hedging Effectiveness: The Case of the S&P 500 Stock Index Futures Contract. International Journal of Risk Assessment and Management, 9, 121-134.Kwiatkowski, D., Phillips, P.C.B., Schmidt, P. and Shin, Y. (1992).Testing the Alternative of Stationary against the Alternative of a Unit: How Sure Are We That Economic Time Series Have a Unit Root? Journal of Econometrics, 54, 159–178.Lien, D. (1996).The Effect of the Cointegration Relationship on Futures Hedging: a Note. Journal of Futures Markets, 16, 773-780.Lien, D., Lee, G., Yang, L. and Zhou, C. (2014).Evaluating the Effectiveness of Futures Hedging. Handbook of Financial Econometrics and Statistics, 1891-1908.Lien, D. and Luo, X. (1994). Multiperiod Hedging in the Presence of Conditional Heteroskedasticity. Journal of Futures Markets, 14, 927-955.Lien, D. and Tse, Y.K. (1999).Fractional Cointegration and Futures Hedging. Journal of Futures Markets, 19, 457-474.Lypny, G and Powalla, M. (1998).The Hedging Effectiveness of DAX Futures. European Journal of Finance, 4, 345-355.Mandelbrot, B. (1963). The Variation of Certain Speculative Prices. Journal of Business, 36, 394-419.Newey,W.K and West, K.D. (1987).A Simple, Positive Semi-definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix.Econometrica,55, 703–708.Pagan, A. (1996).The Econometrics of Financial Markets. Journal of Empirical Finance, 3, 15-102.Park, H.Y. and Bera, A.K. (1987).Interest-Rate Volatility, Basis Risk and Heteroscedasticity in Hedging Mortgages. Real Estate Economics, 15, 79-97.Park, T.H and Switzer, L.N. (1995).Time-Varying Distributions and the Optimal Hedge Ratios for Stock Index Futures. Applied Financial Economics, 5, 131-137.Pennings, J.M.E. and Meulenberg, M.T.G. (1997).Hedging Efficiency: A Futures Exchange Management Approach. Journal of Futures Markets, 17, 599-615.Schwert, G.W. (1987). Effects of Model Specification on Tests for Unit Roots in Macroeconomic Data. Journal of Monetary Economics, 20, 73-103.Yang, W. and Allen, D.E. (2005).Multivariate GARCH Hedge Ratios and Hedging Effectiveness in Australian Futures Markets. Accounting & Finance, 45, 301-321.