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Commodity derivative valuation under a factor model with time-varying market prices of risk

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  • Andrés Mirantes
  • Javier Población
  • Gregorio Serna

Abstract

It is well known that market prices of risk play an important role in commodity derivative valuation. There is an extensive literature showing that market prices of risk vary through time. Based on these results, a factor model, with two long- and short-term factors, with market prices of risk depending on these underlying asset factors is proposed and estimated, using data from crude oil, heating oil, unleaded gasoline and natural gas futures prices traded at NYMEX. The valuation results obtained with an extensive sample of commodity American options traded at NYMEX show that this model with time-varying market prices of risk outperforms standard models with constant market prices of risk. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Andrés Mirantes & Javier Población & Gregorio Serna, 2015. "Commodity derivative valuation under a factor model with time-varying market prices of risk," Review of Derivatives Research, Springer, vol. 18(1), pages 75-93, April.
  • Handle: RePEc:kap:revdev:v:18:y:2015:i:1:p:75-93
    DOI: 10.1007/s11147-014-9104-1
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    1. Anders B. Trolle & Eduardo S. Schwartz, 2009. "Unspanned Stochastic Volatility and the Pricing of Commodity Derivatives," The Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4423-4461, November.
    2. 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.
    3. Fama, Eugene F & French, Kenneth R, 1988. "Permanent and Temporary Components of Stock Prices," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 246-273, April.
    4. Ramaprasad Bhar & Damien Lee, 2011. "Time‐varying market price of risk in the crude oil futures market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 31(8), pages 779-807, August.
    5. Hendrik Bessembinder & Michael L. Lemmon, 2002. "Equilibrium Pricing and Optimal Hedging in Electricity Forward Markets," Journal of Finance, American Finance Association, vol. 57(3), pages 1347-1382, June.
    6. 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.
    7. Eugene F. Fama & Kenneth R. French, 2015. "Commodity Futures Prices: Some Evidence on Forecast Power, Premiums, and the Theory of Storage," World Scientific Book Chapters, in: Anastasios G Malliaris & William T Ziemba (ed.), THE WORLD SCIENTIFIC HANDBOOK OF FUTURES MARKETS, chapter 4, pages 79-102, World Scientific Publishing Co. Pte. Ltd..
    8. Hipòlit Torró & Julio Lucia, 2008. "Short-term electricity futures prices: Evidence on the time-varying risk premium," Working Papers. Serie EC 2008-08, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    9. Jaime Casassus & Pierre Collin‐Dufresne, 2005. "Stochastic Convenience Yield Implied from Commodity Futures and Interest Rates," Journal of Finance, American Finance Association, vol. 60(5), pages 2283-2331, October.
    10. Gregory R. Duffee, 2002. "Term Premia and Interest Rate Forecasts in Affine Models," Journal of Finance, American Finance Association, vol. 57(1), pages 405-443, February.
    11. Kolos, Sergey P. & Ronn, Ehud I., 2008. "Estimating the commodity market price of risk for energy prices," Energy Economics, Elsevier, vol. 30(2), pages 621-641, March.
    12. Ahmad R. Jalali‐Naini & Maryam Kazemi Manesh, 2006. "Price volatility, hedging and variable risk premium in the crude oil market," OPEC Energy Review, Organization of the Petroleum Exporting Countries, vol. 30(2), pages 55-70, June.
    13. Jaime Casassus & Peng Liu & Ke Tang, 2013. "Economic Linkages, Relative Scarcity, and Commodity Futures Returns," The Review of Financial Studies, Society for Financial Studies, vol. 26(5), pages 1324-1362.
    14. Acharya, Viral V. & Lochstoer, Lars A. & Ramadorai, Tarun, 2013. "Limits to arbitrage and hedging: Evidence from commodity markets," Journal of Financial Economics, Elsevier, vol. 109(2), pages 441-465.
    15. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA.
    16. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," The Review of Financial Studies, Society for Financial Studies, vol. 14(1), pages 113-147.
    17. Moosa, Imad A. & Al-Loughani, Nabeel E., 1994. "Unbiasedness and time varying risk premia in the crude oil futures market," Energy Economics, Elsevier, vol. 16(2), pages 99-105, April.
    18. Fama, Eugene F., 1984. "Term premiums in bond returns," Journal of Financial Economics, Elsevier, vol. 13(4), pages 529-546, December.
    19. Hong, Harrison & Yogo, Motohiro, 2012. "What does futures market interest tell us about the macroeconomy and asset prices?," Journal of Financial Economics, Elsevier, vol. 105(3), pages 473-490.
    20. Andr�s Garc�a Mirantes & Javier Población & Gregorio Serna, 2012. "Analyzing the dynamics of the refining margin: implications for valuation and hedging," Quantitative Finance, Taylor & Francis Journals, vol. 12(12), pages 1839-1855, December.
    21. Carsten Sørensen, 2002. "Modeling seasonality in agricultural commodity futures," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 22(5), pages 393-426, May.
    22. Gurdip Bakshi & Liuren Wu, 2010. "The Behavior of Risk and Market Prices of Risk Over the Nasdaq Bubble Period," Management Science, INFORMS, vol. 56(12), pages 2251-2264, December.
    23. Basu, Devraj & Miffre, Joëlle, 2013. "Capturing the risk premium of commodity futures: The role of hedging pressure," Journal of Banking & Finance, Elsevier, vol. 37(7), pages 2652-2664.
    24. 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.
    25. Fama, Eugene F & Bliss, Robert R, 1987. "The Information in Long-Maturity Forward Rates," American Economic Review, American Economic Association, vol. 77(4), pages 680-692, September.
    26. Dai, Qiang & Singleton, Kenneth J., 2002. "Expectation puzzles, time-varying risk premia, and affine models of the term structure," Journal of Financial Economics, Elsevier, vol. 63(3), pages 415-441, March.
    27. Bessembinder, Hendrik, 1992. "Systematic Risk, Hedging Pressure, and Risk Premiums in Futures Markets," The Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 637-667.
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    Cited by:

    1. Moreno, Manuel & Novales, Alfonso & Platania, Federico, 2019. "Long-term swings and seasonality in energy markets," European Journal of Operational Research, Elsevier, vol. 279(3), pages 1011-1023.

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    More about this item

    Keywords

    Market price of risk; Commodity prices; Commodity derivatives; Stochastic processes; Kalman filter; C32; C51; C60; G13;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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