Abstract
We constructed a procurement portfolio for the Indian power sector using two variants of the dynamic conditional correlation GARCH model to derive time-varying correlations between major coal indices. We used prices and qualities of observed cargos to adjust indices for quality gaps as well as for freight costs and power plant efficiency factors. Using the relative homogeneity of the energy content of imports from Australia, South Africa, and Indonesia, we found that the regional seaborne market is highly correlated during normal economic conditions, while suffering brief departures in correlation during demand and supply shocks. Our results show that the buying behavior of power producers is aligned with the mean-variance efficient portfolio of delivered prices using time-varying correlation estimates, but not free-on-board coal index prices. This study challenges the notion that thermal coal importers only source material with a freight price advantage and highlights the importance of coal quality gaps in power production.
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Notes
There are other conditional GARCH models that are used in conditional volatility and correlation estimates such as GJR GARCH, BEKK GARCH, MGARCH, SWARCH, TGARCH, etc. All these models are equally efficient and suffer similar drawbacks. We chose the DCC GARCH model for two reasons. Firstly, the DCC GARCH model is efficient in estimating time-varying correlations for random variables. Secondly, the DCC GARCH model has been extensively used in the estimate of conditional correlations for portfolio optimization, see, for example, Gupta and Donleavy (2009), Case et al. (2010), and Christoffersen et al. (2011).
The DCC model is estimated in a two-step process. The first step estimates univariate GARCH models for each residual series. In the second step, the residuals transformed by their standard deviations estimated in the first step are used to estimate the parameters of the time-varying correlations. See Engle and Sheppard (2001) for detailed assumptions of the model. As stressed earlier, there are other conditional GARCH models that have been used in the literature. We have used DCC GARCH because of its ease of use and it has been widely used in the context of portfolio constructions using time-varying correlations.
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Acknowledgments
The authors wish to acknowledge the helpful comments provided by John Carranza and an anonymous reviewer. The authors are grateful to BHP Billiton and Cargill for providing proprietary coal quality, coal price, and freight price data.
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Gupta, R., West, J.M. Efficient Generation Portfolio Construction Using Time-Varying Correlations. Nat Resour Res 23, 267–283 (2014). https://doi.org/10.1007/s11053-013-9220-x
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DOI: https://doi.org/10.1007/s11053-013-9220-x