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Nonlinear Mean Reversion and Arbitrage in the Gold Futures Market

Author

Listed:
  • Jeng-Bau Lin

    (Department of Business Administration, National Chung-Hsing University)

  • Jin-Ming Liang

    (Department of Information Management, Hsing Kuo University of Management)

  • Chin-Chia Liang

    (Department of Business Administration, National Chung-Hsing University)

Abstract

Previous literatures take transaction costs as being negligible when analyzing the futures basis behavior in linear dynamic framework. However, we argue that the relationship between the futures and spot prices with the conventional linear cointegration approach may not be appropriate after taking transaction costs into account. In this paper, an incorporation of transaction costs presented by Dumas (1992) and Michael (1997) into the exponential smooth transition autoregressive (ESTAR) model developed by Granger and Terasvita (1993) is motivated to examine the dynamic relationship between daily gold futures and spot prices and the nonlinear behavior of the gold futures basis. Transaction costs may lead to the existence of neutral band for futures market speculation within which profitable trading opportunities are impossible. Further, our results indicate that the ESTAR model provides higher forecasting power than the linear AR(1) model.

Suggested Citation

  • Jeng-Bau Lin & Jin-Ming Liang & Chin-Chia Liang, 2008. "Nonlinear Mean Reversion and Arbitrage in the Gold Futures Market," Economics Bulletin, AccessEcon, vol. 6(9), pages 1-11.
    • Handle: RePEc:ebl:ecbull:eb-07f30020
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    References listed on IDEAS

    as
    1. Terasvirta, T & Anderson, H M, 1992. "Characterizing Nonlinearities in Business Cycles Using Smooth Transition Autoregressive Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages 119-136, Suppl. De.
    2. Chen, Show-Lin & Wu, Jyh-Lin, 2000. "A Re-Examination of Purchasing Power Parity in Japan and Taiwan," Journal of Macroeconomics, Elsevier, vol. 22(2), pages 271-284, April.
    3. Garbade, Kenneth D & Silber, William L, 1983. "Price Movements and Price Discovery in Futures and Cash Markets," The Review of Economics and Statistics, MIT Press, vol. 65(2), pages 289-297, May.
    4. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-879, August.
    5. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    6. Kawaller, Ira G & Koch, Paul D & Koch, Timothy W, 1987. "The Temporal Price Relationship between S&P 500 Futures and the S and P 500 Index," Journal of Finance, American Finance Association, vol. 42(5), pages 1309-1329, December.
    7. Chan, Kalok, 1992. "A Further Analysis of the Lead-Lag Relationship between the Cash Market and Stock Index Futures Market," The Review of Financial Studies, Society for Financial Studies, vol. 5(1), pages 123-152.
    8. Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," The Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-180.
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    Cited by:

    1. Jin-Ray Lu & Chih-Ming Chan, 2014. "Optimal portfolio choice of gold assets in the differential market and differential game structures," Review of Quantitative Finance and Accounting, Springer, vol. 42(2), pages 309-325, February.

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