Time-Varying Risk Aversion: A Dynamic Application in Index Hedging

Authors

  • Aran Phringphred Securities and Exchange Commission

DOI:

https://doi.org/10.14456/tresp.2019.6

Keywords:

Degree of risk aversion, Hedging, GARCH-M, Multivariate GARCH-DCC, Risk management

Abstract

Degree of risk aversion has recently been claimed as important factor in determining hedge ratio level since the conventional minimum variance hedge ratio (MVHR) with risk minimization objective can lead to a suboptimal hedge level. By taking into account investors’ risk attitude through their degree of risk aversion and expected return, the risk aversion hedge ratio (RAHR) can help investors maximise their utility. A GARCH-M model was estimated to determine time varying risk aversion (TVRA) and classify short and long hedgers. Multivariate GARCH-DCC model was then applied, to estimate the expected return equation model and conditional variance and covariance models, and to determine the optimal hedge ratio of RAHR. The results revealed that the RAHR portfolio with lower hedge ratio outperformed MVHR portfolio for both short and long hedgers in terms of return, expected utility, risk adjusted returns and hedging cost. Additionally, the positive impact of estimated TVRA on systematic risk of the SET suggests that TVRA might be an alternative sentiment index of SET.

References

Alexander C. (2008). Market risk analysis. John Wiley & Sons, Chichester.

Arrow, K.J. (1974). Essays in the theory of risk-bearing. Amsterdam: North-Holland Pub. Co.

Boffelli S., Urga G. (2016). Financial econometrics using Stata. College Station, Texas.

Brandt M.W., & Wang K.Q. (2003). Time-varying risk aversion and unexpected inflation. Journal of Monetary Economics, 50, 1457-1498.

Brooks C., Černý A., & Miffre J. (2012). Optimal hedging with higher moments. Journal of Futures Markets, 32, 909-944.

Campbell J.Y. (2003). Consumption-based asset pricing. In Constantinides, G., Harris, M. & Stulz, R. (Eds.) Handbook of the Economics of Finance (pp.803-887).

Campbell, J., & Cochrane, J. (1999) By Force of Habit: A Consumption‐Based Explanation of Aggregate Stock Market Behaviour. Journal of Political Economy, 205.

Chang C.-L., McAleer M., & Tansuchat R. (2011). Crude oil hedging strategies using dynamic multivariate GARCH. Energy Economics, 33, 912-923.

Chen S.-S., Lee C.-f., & Shrestha K. (2003). Futures hedge ratios: a review. Quarterly Review of Economics and Finance, 43, 433-465.

Chen W. (2009). Three essays on, Hedging in China's oil futures market; Gold, oil and stock market price volatility links in the USA; and, Currency fluctuations in S.E. and Pacific Asia, University of Birmingham.

Chou R., Engle R.F., & Kane A. (1992). Measuring risk aversion from excess returns on a stock index. Journal of Econometrics, 201-204 Volume 52, Issue1-2.

Chuang W.J., Ouyang L.Y., & Lo W.C. (2010). The Impact of Investor Sentiment on Excess Returns: A Taiwan Stock Market Case, Tamkang University, Taiwan.

Chung-Chu Chuanga Y.-H.W., Tsai-Jung Yeha, & Chuang a.S.-L. (2015). Hedging effectiveness of the hedged portfolio: the expected utility maximization subject to the value-at-risk approach. Applied Economics, 47.

Cohn A., Engelmann J., Fehr E., & Maréchal M.A. (2015). Evidence for countercyclical risk aversion: an experiment with financial professionals. American Economic Review, 105, 860-885.

Conlon T., Cotter J., & Gençay R. (2016). Commodity futures hedging, risk aversion and the hedging horizon. European Journal of Finance, 22, 1534- 1560.

Cotter J., & Hanly J. (2010). Time-varying risk aversion: An application to energy hedging. Energy Economics, 32, 432-441.

Cotter J., & Hanly J. (2012). A utility based approach to energy hedging. Energy Economics, 34, 817-827.

Cotter J., & Hanly J. (2014) Performance of utility based hedges. Dublin.

De Goyet C.D.V., Dhaene G., & Sercu P. (2008). Testing the martingale hypothesis for futures prices: Implications for hedgers. Journal of Futures Markets 28:1040-1065.

Demirer R., Lien D., & Shaffer D.R. (2005). Comparisons of short and long hedge performance: the case of Taiwan. Journal of Multinational Financial Management, 15, 51-66.

Ederington L.H. (1979). The Hedging Performance of the New Futures Markets. Journal of Finance, 34, 157- 170.

Engle R.F. (2000). Dynamic conditional correlation: a simple class of multivariate GARCH models. La Jolla, Journal of Bussiness & Economic Statistics, 20 (3), 339-350.

Engle R.F., Lilien D.M., & Robins R.P. (1987). Estimating Time Varying Risk Premia in the Term Structure: The Arch-M Model, Econometrica. 55,(2).

Engle R.F., & Sheppard K.K. (2001). Theoretical and Empirical Properties of Dynamic Conditional Correlation Multivariate GARCH, Department of Economics, University of California at San Diego, Economics Working Paper Series.

Epstein L.G., & Zin S.E. (1991). Substitution, risk aversion, and the temporal behaviour of consumption and asset returns: an empirical analysis. Journal of Political Economy, 263.

Floros C., & Vougas D.V. (2006). Hedging Effectiveness in Greek Stock Index Futures Market, 1999-2001. International Research, Jornal of Finance and Economics, 5, 17-18.

Frankel J.A. (1982). In search of the exchange risk premium: a six-currency test assuming mean-variance optimization. Journal of International Money and Finance, 1, 255-274.

Frankel J.A. (1983). Estimation of portfolio-balance functions that are mean-variance optimizing. European Economic Review, 23, 315-327.

Frankel J.A. (1986). The Implications of Mean-Variance Optimization for Four Questions in International Macroeconomics. NBER Working Papers No.1617.

Frankel J.A. (1995). Do Asset-Demand Functions Optimize over the Mean and Variance of Real Returns? A SixCurrency Test, in: J. A. Frankel (Ed.), Financial Markets and Monetary Policy, Cambridge and London: MIT Press. pp. 49-58.

Giovannini A., Jorion P. (1989). The Time Variation of Risk and Return in the Foreign Exchange and Stock Markets. Journal of Finance, 44, 307-325.

Hou Y., & Li S. (2013). Hedging performance of Chinese stock index futures: An empirical analysis using wavelet analysis and flexible bivariate GARCH approaches. Pacific-Basin Finance Journal, 24, 109- 131.

Hsin C.-W., Kuo J., & Lee C.-F. (1994). A new measure to compare the hedging effectiveness of foreign currency futures versus options, John Wiley & Sons, Jornal of Futures Markets, 14(6), 685-707.

Kim K.H. (2014). Counter-cyclical risk aversion. Journal of Empirical Finance, 29, 384-401.

Kroner K.F., & Sultan J. (1993). Time-Varying Distributions and Dynamic Hedging with Foreign Currency Futures. Journal of Financial & Quantitative Analysis, 28, 535-551.

Kumar S., Pandey. (2008). Hedging Effectiveness of Constant and Time Varying Hedge Ratio in Indian Stock and Commodity Futures Markets, SSRN Electronic Journal

Lahiani A., & Guesmi K. (2014) Commodity Price Correlation and Time Varying Hedge Ratios. Journal of Applied Business Research, 30, 1053-1061.

Lau M.C.K., Su Y., Tan N., & Zhang Z. (2014). Hedging China's energy oil market risks. Eurasian Economic Review, 4, 99-112.

Markowitz, H. (1952). Portfolio Selection. The Journal of Finance, 7(1), 77-91.

Massimiliano C., & Michael M. (2013). Ten Things You Should Know about the Dynamic Conditional Correlation Representation. Econometrics, 1(1), 115- 126.

Mehra R.a.P., Edward (1985). The equity premium: a puzzle, Journal of Monetary Economics, 15(2), 145- 161.

Mishra, T. (2014). Dynamics of investors’ risk aversion in emerging stock markets: Evidence from Saudi Arabia. SAMA Working Paper.

Myers R.J., & Thompson S.R. (1989). Generalized Optimal Hedge Ratio Estimation, American Agricultural Economics Association.

Pratt J.W. (1964). Risk Aversion in the Small and in the Large, Econometrica, 32(1-2), 122-136.

Sharpe W.F. (2007) Expected Utility Asset Allocation. Financial Analysts Journal, 63,18-30.

Shrestha, K. (2009) Estimation of Market Risk Premium for Japan. Enterprise Risk Management,1(1).

Yang W. (2001). M-GARCH hedge ratios and hedging effectiveness in Australian futures markets Joondalup, Western Australia.

Yuan-Hung Hsu K., Ho-Chyuan C.,& Kuang-Hua C. (2007). On the application of the dynamic conditional correlation model in estimating optimal time-varying hedge ratios. Applied Economics Letters, 14, 503-509.

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Published

2019-12-30

How to Cite

Phringphred, A. (2019). Time-Varying Risk Aversion: A Dynamic Application in Index Hedging. Thammasat Review of Economic and Social Policy, 5(2), 62–102. https://doi.org/10.14456/tresp.2019.6

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Original Articles