This study examines the inter-temporal causal nexus between Indian commodity futures and spot prices by using wavelet analysis. Wavelet analysis offers an effective alternative tool to examine the inter-temporal causal relationship in time as well as frequency domains, providing a deeper understanding of direction, strength and extent of such causal relationship; whereas traditional econometric causality analysis tools focus only on the time domain. The empirical results of wavelet analysis suggest that the Indian commodity futures market has a powerful price discovery function in all the selected commodities, which in turn indicates the efficiency of the Indian commodity futures market.
Garbade, K. and Silber, W.L. (1983) Price Movement and Price Discovery in Futures and Cash Markets. The Review of Economics and Statistics, 65, 289-297. http://dx.doi.org/10.2307/1924495
Oellermann, C.M., Brorsen, B.W. and Farris, P.L. (1989) Price Discovery for Feeder Cattle. The Journal of Futures Markets, 9, 113-121. http://dx.doi.org/10.1002/fut.3990090204
Schroeder, T.C. and Goodwin, B.K. (1991) Price Discovery and Cointegration for Live Hogs. The Journal of Futures Markets, 11, 685-696. http://dx.doi.org/10.1002/fut.3990110604
Koontz, S.R., Garcia, P. and Hudson, M.A. (1990) Dominant-Satellite Relationship between Live Cattle Cash and Futures Markets. Journal of Futures Markets, 10, 123-136. http://dx.doi.org/10.1002/fut.3990100204
Geweke, J. (1982) Measurement of Linear Dependence and Feedback between Multiple Time Series. Journal of the American Statistical Association, 77, 304-324. http://dx.doi.org/10.1080/01621459.1982.10477803
Iyer, V. and Pillai, A. (2010) Price Discovery and Convergence in the Indian Commodities Market. Indian Growth and Development Review, 3, 53-61. http://dx.doi.org/10.1108/17538251011035873
Granger, C.W.J. (1986) Developments in the Study of Cointegrated Economic Variables. Oxford Bulletin of Economics and Statistics, 48, 213-228. http://dx.doi.org/10.1111/j.1468-0084.1986.mp48003002.x
Engle, R.F. and Granger, C.W. (1987) Cointegration and Error Correction: Representation, Estimation and Testing. Econometrica, 55, 251-276. http://dx.doi.org/10.2307/1913236
Johansen, S. (1988) Statistical Analysis of Cointegration Vectors. Journal of Economic Dynamics and Control, 12, 231-254. http://dx.doi.org/10.1016/0165-1889(88)90041-3
Serletis, A. and Banack, D. (1990) Market Efficiency and Cointegration: An Application to Petroleum Market. Review of Futures Markets, 9, 372-385.
Crowder, W.J. and Hamed, A. (1993) A Cointegration Test for Oil Futures Market Efficiency. The Journal of Futures Markets, 13, 933-941. http://dx.doi.org/10.1002/fut.3990130810
Schwarz, T.V. and Szakmary, A.C. (1994) Price Discovery in Petroleum Markets: Arbitrage, Cointegration, and the Time Interval of Analysis. The Journal of Futures Markets, 14, 147-167. http://dx.doi.org/10.1002/fut.3990140204
Chowdhury, A.R. (1991) Futures Market Efficiency: Evidence from Cointegration Tests. The Journal of Futures Markets, 11, 577-589. http://dx.doi.org/10.1002/fut.3990110506
Beck, S. (1994) Cointegration and Market Efficiency in Commodities Futures Markets. Applied Economics, 26, 249-257. http://dx.doi.org/10.1080/00036849400000006
McKenzie, A.M. and Holt, M.T. (2002) Market Efficiency in Agricultural Futures Markets. Applied Economics, 34, 1519-1532. http://dx.doi.org/10.1080/00036840110102761
Savit, R. (1988) When Random Is Not Random: An Introduction to Chaos in Market Prices. The Journal of Futures Markets, 8, 271-290. http://dx.doi.org/10.1002/fut.3990080303
Savit, R. (1989) Nonlinearities and Chaotic Effects in Option Prices. The Journal of Futures Markets, 9, 507-518. http://dx.doi.org/10.1002/fut.3990090604
Abhyankar, A. (1996) Does the Stock Index Futures Market Tend to Lead the Cash? New Evidence from the FT-SE 100 Stock Index Futures Market. Working Paper No. 96-01, Department of Accounting and Finance, University of Stirling, Stirling.
Silvapulle, P. and Moosa, I.A. (1999) The Relationship between Spot and Futures Prices: Evidence from the Crude Oil Market. The Journal of Futures Markets, 19,175-193. http://dx.doi.org/10.1002/(SICI)1096-9934(199904)19:2 3.0.CO;2-H
Bekiros, S.D. and Diks, C.G. (2008) The Relationship between Crude Oil Spot and Futures Prices: Cointegration, Linear and Nonlinear Causality. Energy Economics, 30, 2673-2685. http://dx.doi.org/10.1016/j.eneco.2008.03.006
Mamatzakis, E. and Remoundos, P. (2011) Testing for Adjustment Costs and Regime Shifts in BRENT Crude Oil Futures Market. Economic Modelling, 28, 1000-1008. http://dx.doi.org/10.1016/j.econmod.2010.11.008
Percival, D.B. and Walden, A.T. (2000) Wavelet Methods for Time Series Analysis. Cambridge Press, Cambridge. http://dx.doi.org/10.1017/CBO9780511841040
Ramsay, J.B. (2002) Wavelets in Economics and Finance: Past and Future. Studies in Nonlinear Dynamics and Econometrics, 6, 514-539. http://dx.doi.org/10.2202/1558-3708.1090
Gencay, R., Selcuk, F. and Whitcher, B. (2002) An Introduction to Wavelets and Other Filtering Methods in Finance and Economics. Academic Press, Waltham.
Fan, Y. and Gencay, R. (2010) Unit Root Tests with Wavelets. Econometric Theory, 26, 1305-1331. http://dx.doi.org/10.1017/S0266466609990594
Dacorogna, M., Gencay, R., Muller, U., Olsen, R. and Pictet, V. (2001) An Introduction to High-Frequency Finance. Academic Press, San Diego.
Heil, C.E. and Walnut, D.F. (1989) Continuous and Discrete Wavelet Transforms. SIAM Review, 31, 628-666. http://dx.doi.org/10.1137/1031129
Labat, D. (2005) Recent Advances in Wavelet Analyses: A Review of Concepts. Journal of Hydrology, 314, 275-288. http://dx.doi.org/10.1016/j.jhydrol.2005.04.003
Torrence, C. and Compo, G.P. (1998) A Practical Guide to Wavelet Analysis. Bulletin of the American Meteorological Society, 79, 605-618. http://dx.doi.org/10.1175/1520-0477(1998)079 2.0.CO;2
Aguiar-Conraria, L. and Soares, M.J. (2011) Oil and the Macro Economy: Using Wavelets to Analyze Old Issues. Empirical Economics, 40, 645-655. http://dx.doi.org/10.1007/s00181-010-0371-x
Ng, E.K.W. and Chan, J.C.L. (2012) Geophysical Applications of Partial Wavelet Coherence and Multiple Wavelet Coherence. Journal of Atmospheric and Oceanic Technology, 29, 1845-1853. http://dx.doi.org/10.1175/JTECH-D-12-00056.1
Priestley, M.B. (1981) Spectral Analysis and Time Series. Academic Press, London.
Ripple, R.D. and Moosa, I.A. (2009) The Effect of Maturity, Trading Volume and Open Interest on Crude Oil Futures Price Range-Based Volatility. Global Finance Journal, 20, 209-219. http://dx.doi.org/10.1016/j.gfj.2009.06.001