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Modelos Estocásticos para el Precio Spot y del Futuro de Commodities con Alta Volatilidad y Reversión a la Media

Author

Listed:
  • Víctor Manuel García de la Vega

    (FINALITICA, S.A. de C.V)

  • Antonio Ruiz Porras

    (Universidad de Guadalajara)

Abstract

The pricing of commodity derivatives requires that the underlying asset be modeled with mean reversion and high volatility. We develop closed form formulas to price the spot of a commodity, futures and call options on the spot and on commodity futures in the real world and under risk neutrality, by using a one factor model

Suggested Citation

  • Víctor Manuel García de la Vega & Antonio Ruiz Porras, 2009. "Modelos Estocásticos para el Precio Spot y del Futuro de Commodities con Alta Volatilidad y Reversión a la Media," Revista de Administración, Finanzas y Economía (Journal of Management, Finance and Economics), Tecnológico de Monterrey, Campus Ciudad de México, vol. 3(2), pages 1-24.
  • Handle: RePEc:ega:rafega:200907
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    References listed on IDEAS

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    1. Bessembinder, Hendrik, et al, 1995. "Mean Reversion in Equilibrium Asset Prices: Evidence from the Futures Term Structure," Journal of Finance, American Finance Association, vol. 50(1), pages 361-375, March.
    2. Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166.
    3. Schwartz, Eduardo S, 1997. "The Stochastic Behavior of Commodity Prices: Implications for Valuation and Hedging," Journal of Finance, American Finance Association, vol. 52(3), pages 923-973, July.
    4. 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.
    5. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    6. Patrick Jaillet & Ehud I. Ronn & Stathis Tompaidis, 2004. "Valuation of Commodity-Based Swing Options," Management Science, INFORMS, vol. 50(7), pages 909-921, July.
    7. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    8. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
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    More about this item

    Keywords

    Mundo real; Mundo Neutral al riesgo; Reversión a la Media;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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