International Journal of Econometrics and Financial Management
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International Journal of Econometrics and Financial Management. 2014, 2(3), 82-94
DOI: 10.12691/ijefm-2-3-1
Open AccessEditorial

The Dynamic International Optimal Hedge Ratio

Xiaochun Liu1, and Brian Jacobsen2

1Department of Economics, Emory University, Atlanta, United States

2Chief Portfolio Strategist, Wells Fargo Funds Management, LLC, Milwaukee, United States

Pub. Date: June 09, 2014

Cite this paper:
Xiaochun Liu and Brian Jacobsen. The Dynamic International Optimal Hedge Ratio. International Journal of Econometrics and Financial Management. 2014; 2(3):82-94. doi: 10.12691/ijefm-2-3-1

Abstract

Instead of modeling asset price and currency risks separately, this paper derives the international hedge portfolio, hedging asset price and currency risk simultaneously for estimating the dynamic international optimal hedge ratio. The model estimation is specified in a multivariate GARCH setting with vector error correction terms and estimated for the commodity and stock markets of the U.S., the U.K., and Japan.

Keywords:
optima hedge ratio international hedging multivariate GARCH currency risk hedge effectiveness and efficiency spot and futures markets

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]  Alizadeh, A., and Nomikos, N., 2004. A markov regime switching approach for hedging stock indices. The Journal of Futures Markets, , pp. 649-674
 
[2]  Andersen, T., & Bollerslev, T., 1998, Answering the skeptics: Yes, standard volatility models do provide accurate forecasts. International Economic Review, Vol. 39, pp. 885-905.
 
[3]  Antell, J., Vaihekoski, M., 2007. International asset pricing models and currency risk Evidence from Finland 1970-2004. Journal of Banking and Finance 31 (9), 2571-2590
 
[4]  Bera, A. K., Garcia, P., and Roh, J. S., 1997, Estimation of Time-Varying Hedge Ratios for Corn and Soybean: Bivariate-GARCH and Random Coefficient Approaches. Agricultural Economics, Vol. 59, pp. 346-368.
 
[5]  Bohenstedt, G.W., and A.S. Goldberger, 1969. On the Exact Covariance of Products of Random Variables. American Statistical Association Journal, 64, pp. 1439-1442.
 
[6]  Bollerslev, T., 1986, Generalized Autoregressive Conditional Heteroscedasticity. Journal of Econometric, vol. 31, No. 3, pp. 307-327.
 
[7]  Bollerslev, T., 1990, Modeling the Coherence in Short-Run Nominal Exchange Rates a multivariate generalized ARCH model. Review of Economics and Statistics, Vol. 72, No. 3, pp. 498-505
 
[8]  Bollerslev, T., Engle, R. F. and J. M. Wooldridge, 1988, A Capital Asset Pricing Model with Time-Varying Covariances. , Vol. 96, No. 1, pp. 116-31.
 
[9]  Booth, G. G., P. Brockman and Y. Tse, 1998, The Relationship Between U.S. and Canadian Wheat Futures. Applied Financial Economics, Vol. , No. , pp. 73-80.
 
[10]  Brooks, C., Henry, O. T., and Persand, G., 2002, The Effect of Asymmetries on Optimal Hedge Ratios. Journal of Business, Vol. 75 (2002), No. 2, pp. 333-352.
 
[11]  Bugar, G., Maurer, R., 2002, International Equity Portfolios and Currency Hedging: The View Point of German and Hungarian Investors. Astin Bulletin, 32, No 1, pp. 171-197.
 
[12]  Byström, H. N. E., 2003, The Hedging Performance of Electricity Futures on the Nordic Power Exchange. Applied Economics, Vol. 35, No. 1, pp. 1-11
 
[13]  Chakraborty, Atreya, and Barkoulas, John T., 1999. Dynamic futures hedging in currency markets. , Taylor and Francis Journals, vol. 5(4), pp. 299-314.
 
[14]  Chan-Lau, Jorge A., 2006, Foreign exchange hedging in Chile. , Vol. 12, Number 3, pp. 250-267 (18).
 
[15]  Chen, S., Lee, CF., and Shrestha, K., 2004, An empirical analysis of the relationship between the hedge ratio and hedging horizon a simultaneous estimation of the short-and long-run hedge ratios. The Journal of Futures Markets, Vol. 24, No. 4, pp. 359-386.
 
[16]  Chou, R.Y., 1988. Volatility Persistence and Stock Valuations-Some Empirical Evidence Using GARCH. Journal of Applied Econometrics, 3, pp. 279-294.
 
[17]  Dark, J., 2007, Basis Covergence and Long Memory in Volatility when dynamic Hedging with Futures. , Vol. 42 Issue 4, pp. 1021-1040.
 
[18]  De Jong, A., De Room F. and Veld, C., 1997, Out-of-Sample hedging effectiveness of currency futures for alternative models and hedging strategies. Journal of Futures Markets, Vol. 17, pp. 817-837.
 
[19]  De Santis, G., Gérard, B., 1998. How big is the premium for currency risk? Journal of Financial Economics, Vol. 49, pp. 375-412.
 
[20]  Ding, Z., Engle, R. F., 2001, Large scale conditional covariance matrix modeling, estimation and testing. Academia Economic Papers, Vol. 29, pp. 157-184.
 
[21]  Engle, R. F., 1982, Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of U.K. Inflation. Econometrica, Vol. 50, No. 4 (Jul., 1982), pp. 987-1007.
 
[22]  Engle, R.F., Kroner, K., 1995. Multivariate simultaneous generalized ARCH. Econometric Theory, 11, pp. 122-150.
 
[23]  Fernandez, V., 2008, Multi-period hedge ratios for a multi-asset portfolio when accounting for returns co-movement. The Journal of Futures Markets, Vol. 28, No. 2, 182-207.
 
[24]  Floros, C., Vougas, D.V., 2007, Lead-Lag Relationship between Futures and Spot Markets in Greece 1999-2001. International Research Journal of Finance and Economics, ISSN1450-2887, No. 7
 
[25]  Gagnon, L., Lypny, G. J., and McCurdy, T. H., 1998, Hedging Foreign Currency Portfolios. Journal of Empirical Finance, , September 1998, Pp. 197-220.
 
[26]  Gardner, Grant W. and Stone, Douglas, 1995. Estimating Currency Hedge Ratios for International Portfolios. Financial Analysts Journal, Vol. 51, No. 6, pp. 58-64.
 
[27]  Ghosh, A., 1993, Cointegration and Error Correction Models Intertemporal Causality Between Index and Futures Prices. The Journal of Futures Markets, , Pp. 193-198
 
[28]  Grossman, S.J., and R.J. Shiller, 1981, The Determinants of the Variability of Stock Market Prices, American Economic Review, 71, pp. 222-227.
 
[29]  Hagelin, N., Bengt Pramborg, B., 2004, Hedging Foreign Exchange Exposure Risk Reduction from Transaction and Translation Hedging. Journal of International Financial Management and Accounting, 151.
 
[30]  Harris, R.D.F., Stoja, E., and Tucker, J, 2007, A simplified approach to modeling the co-movement of asset returns. The Journal of Futures Markets, Vol. 27, No. 6, pp. 575-598.
 
[31]  Henderson, C., 2002, Editorial Hedging emerging market currency risk. Derivatives Use, Trading & Regulation; 8, 1; ABI/INFORM Global pg. 5.
 
[32]  Hsu, Chih-Chiang, Tseng, Chih-Ping and Wang, Yaw-Huei, 2007, Dynamic Hedging with Futures A Copula-Based GARCH Model. Journal of Futures Markets, Forthcoming Available at SSRN
 
[33]  Jacobsen, Brian J., Liu, Xiaochun, 2008, China's segmented stock market: An application of the conditional international asset pricing model. Emerging Markets Review, Vol. 9, pp 153-173.
 
[34]  Jickling, Mark, 2006. Proposed Transaction Fee on Futures Contracts. CRS Report for Congress. Congressional Research Service, The Library of Congress. Available at
 
[35]  Kerkvliet, J., Moffett, M.H., 1991, The Hedging of an Uncertain Future Foreign Currency Cash Flow. The Journal of Financial and Quantitative Analysis, Vol. 26, No. 4, pp. 565-578.
 
[36]  Kooli, M., Amvella, S.P.; and Gueyie, J.P. 2005. Hedge Funds in a Portfolio Context: A Mean-Modified Value-at-Risk Framework. Derivatives Use, Trading & Regulation, 10, pp. 373-383
 
[37]  Korn, Olaf and Koziol, Philipp, 2008. The Term Structure of Currency Hedge Ratios. Available at SSRN:
 
[38]  Kroner, Kenneth F. and Sultan, Jahangir, 1993. Time-Varying Distributions and Dynamic Hedging with Foreign Currency Futures. Journal of Financial and Quantitative Analysis. Vol. 28, No 4, pp. 535-551.
 
[39]  Larsen, G. A., Resnick, B. G., 2000, The Optimal Construction of Internationally Diversified Equity Portfolio Hedged Against Exchange Rate Uncertainty. European Financial Management, 6, pp. 479-519.
 
[40]  Lee, H. T., Yoder, J. K., Mittelhammer, R. C., & McCluskey, J. J., 2006, A random coefficient autoregressive Markov regime switching model for dynamic futures hedging. The Journal of Futures Markets, Vol. 26, No. 2, 103-129.
 
[41]  Lee, HT., Yoder, JK., , A Bivariate Markov Regime Switching GARCH Approach To Estimate Time Varying Minimum Variance Hedge Ratios. , Vol. 39 (2007), No. 10, Pp. 1253-1265.
 
[42]  Lee, H.T., Yoder, J., 2007b, Optimal hedging with a regime-switching time-varying correlation GARCH model. The Journal of Futures Markets, Vol. 27, No. 5, 495-516.
 
[43]  Lee, Cheng-Few, Lee, Jang-Yi, Wang, Kehluh and Sheu, Yuan-Chung, 2008, "Estimating Future Hedge Ratio A Generalized Hyperbolic Distribution Approach", Conference on Quantitative Finance and Risk Management.
 
[44]  Leuthold, Raymond M. and Kim, Min-Kyoung, 2000, Hedging Short-term Corn Price Risks In Tokyo versus Chicago's Project A. OFOR Working Paper, No. 00-02. Available at SSRN
 
[45]  Levy, H., Lim, K. C., 1994, Forward Exchange Bias, Hedging and the Gains from International Diversification of Investment Portfolios. Journal of International Money and Finance, 13, pp. 159-170.
 
[46]  Lien, D.D., 2007, Optimal futures heading quadratic versus exponential utility functions. Journal of Futures Markets, Vol. 28, Number 2.
 
[47]  Lien, D. D., 1996, The Effect of the Cointegrating Relationship on Futures Hedging A Note. The Journal of Futures Markets, , Pp. 773-780.
 
[48]  Lien, D.D. and Yang, L. 2007, Asymmetric Effects of Basis on Dynamic Futures Hedging Empirical Evidence from Commodity Markets. Journal of Banking and Finance, forthcoming.
 
[49]  Lien, D.D., Luo, X., 1993, Estimating multiperiod hedge ratios in cointegrated markets. Journal of Futures Markets, , Pp. 909-920.
 
[50]  Lien, D.D. and Yang, Li. , "Hedging with Chinese Metal Futures". The Journal of Futures Markets, Vol. 26, No. 10, 1019-1038 (2006). Available at SSRN
 
[51]  Lien, D.D. and Yang, Li., 2006b, spot-futures spread, time-varying correlation and hedging with currency futures. Journal of Futures Markets, Vol. 26, No. 10, pp. 1019-1038 (2006).
 
[52]  Lien, D.D. and Yang, Li, 2008, "Asymmetric Effect of Basis on Dynamic Futures Hedging Empirical Evidence from Commodity Markets" (2007). , Vol. 32, No. 2, Pp. 187-198. Available at SSRN
 
[53]  Lien, D.D., and Tse, YK., 1998, Hedging time-varying downside risk. Journal of Futures Markets, Vol. 18 No. 6, Pp. 705-722.
 
[54]  Lien, D., and Tse, YK., 2000, Hedging downside risk with futures contracts. Applied Financial Economics, Vol. , No. April 2000, pp. 163-170.
 
[55]  Lien, D., and Tse, YK., 2001, Hedging downside risk futures vs. options. International Review of Economics and Finance, Vol. 10 (2001), No. 2, Pp. 159-169.
 
[56]  Lioui, A., Poncet, P., 2002, Optimal Currency Risk Hedging. Journal of International Money And Finance, 21, pp. 241-264.
 
[57]  Martinot, N., Lesourd, J. B., and Morard, B., 2000, On the information content of futures prices application to LME nonferrous metal futures. Working paper, University of Geneva, Switzerland.
 
[58]  McCurdy, T.H., and I. Morgan. 1988. Testing the Martingale Hypothesis in Deutsche Mark Futures with Models Specifying the Form of Heteroskedasticity. Journal of Applied Econometrics. 3, pp 187-202.
 
[59]  Moon, Gyu-Hyen, Yu, Wei-Choun, and Hong Chung-Hyo, 2009. Dynamic hedging performance with the evaluation of multivariate GARCH models: evidence from KOSTAR index futures. Applied Economics Letters, 16, pp. 913-919.
 
[60]  Park, T. H., and Switzer, L. N., 1995, Bivariate GARCH Estimation of the Optimal Hedge Ratios for Stock Index Futures A Note. The Journal of Futures Markets, , Pp. 61-67
 
[61]  Power, G.J., Vedenov, D.V., 2008, The Shape of the Optimal Hedge Ratio Modeling Joint Spot-Futures Prices using an Empirical Copula-GARCH Model. NCCC-134 Conference on Applied Commodity Price Analysis, Forecasting, and Market Risk Management. St. Louis, MO. [http//www.farmdoc.uiuc.edu/nccc134].
 
[62]  Poterba, J., and L. Summers, 1986. The Persistence of Volatility and Stock Market Fluctuations. American Economic Review, 76, pp. 1142-1151.
 
[63]  Shaffer, David and A. DeMaskey. 2005. Currency Hedging Using the Mean-Gini Framework. Review of Quantitative Finance and Accounting, 25, pp. 125-137.
 
[64]  Tong, W. H. S., 1996, An Examination of Dynamic Hedging. Journal of International Money and Finance, Vol. 15 (1996), No. 1 (February), Pp. 19-35.
 
[65]  Turvey, C.G., Nayak, G., 2003, The Semivariance-Minimizing Hedge Ratio. Journal of Agricultura1 and Resource Economics 28 (1) 100-1 15.
 
[66]  Vaihekoski, M., 2007. Global market and currency risk in Finnish stock market. Finnish Economic Papers 20 (1), 72-88.
 
[67]  Watkins, C. and McAleer, M., 2004, Econometric modeling of non-ferrous metal prices. Journal of Economic Surveys, Vol. 18, No. 5, pp. 651-701. Available at SSRN
 
[68]  Yang, W., 2001, "M-GARCH Hedge Ratios and Hedging Effectiveness in Australian Futures Markets. Available at SSRN