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A capacitated commodity trading model with market power

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  • Martínez de Albeniz, Victor

    () (IESE Business School)

  • Vendrell, Josep M.

    (IESE Business School)

Abstract

In this paper we consider the problem of a trader who purchases a commodity in one market and resells it in another. The trader is capacitated: the trading volume is limited by operational constraints, e.g., logistics. The two markets quote different prices, but the spread is reduced when trading takes place. We are interested in finding the optimal trading policy across the markets so as to obtain the maximum profit in the long-term, taking into account that the trading activity influences the price processes, i.e., market power. As in the no-market-power case, we find that the optimal policy is determined by three regions, where 1) move as much as possible from one market to the other; 2) the same in the opposite direction; or 3) do nothing. Finally, we use the model to analyze kerosene price differences between New York and Los Angeles.

Suggested Citation

  • Martínez de Albeniz, Victor & Vendrell, Josep M., 2008. "A capacitated commodity trading model with market power," IESE Research Papers D/728, IESE Business School.
  • Handle: RePEc:ebg:iesewp:d-0728
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    References listed on IDEAS

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    1. Angus Deaton & Guy Laroque, 1992. "On the Behaviour of Commodity Prices," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 1-23.
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    3. Deaton, Angus & Laroque, Guy, 1996. "Competitive Storage and Commodity Price Dynamics," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 896-923, October.
    4. Wang, Yunzeng, 2001. "The optimality of myopic stocking policies for systems with decreasing purchasing prices," European Journal of Operational Research, Elsevier, vol. 133(1), pages 153-159, August.
    5. Williams,Jeffrey C. & Wright,Brian D., 2005. "Storage and Commodity Markets," Cambridge Books, Cambridge University Press, number 9780521023399, May.
    6. Eduardo Schwartz & James E. Smith, 2000. "Short-Term Variations and Long-Term Dynamics in Commodity Prices," Management Science, INFORMS, vol. 46(7), pages 893-911, July.
    7. Chambers, Marcus J & Bailey, Roy E, 1996. "A Theory of Commodity Price Fluctuations," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 924-957, October.
    8. Chester Spatt & Bryan Routledge & Duane Seppi, 1998. "The Spark Spread: An equilibrium model of the Cross-Commodity Price Relationships in Electricity," GSIA Working Papers 1999-15, Carnegie Mellon University, Tepper School of Business.
    9. Gibson, Rajna & Schwartz, Eduardo S, 1990. " Stochastic Convenience Yield and the Pricing of Oil Contingent Claims," Journal of Finance, American Finance Association, vol. 45(3), pages 959-976, July.
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    Keywords

    commodity trading; price processes; inventory management;

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