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Analogy Based Valuation of Commodity Options

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  • Siddiqi, Hammad
Abstract
Typically, three types of implied volatility smiles are seen in commodity options: the reverse skew, the smile, and the forward skew. I put forward an economic explanation for all three types of implied volatility smiles based on the idea that a commodity call option is valued in analogy with its underlying futures contract, where the underlying futures price follows geometric Brownian motion. Closed form solutions for commodity calls and puts exist in the presence of transaction costs. Analogy based jump diffusion model is also developed. The smiles are steeper with jump diffusion when compared with smiles with geometric Brownian motion.

Suggested Citation

  • Siddiqi, Hammad, 2015. "Analogy Based Valuation of Commodity Options," Risk and Sustainable Management Group Working Papers 197334, University of Queensland, School of Economics.
  • Handle: RePEc:ags:uqsers:197334
    DOI: 10.22004/ag.econ.197334
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    References listed on IDEAS

    as
    1. Siddiqi, Hammad, 2014. "Analogy Making and the Structure of Implied Volatility Skew," MPRA Paper 60921, University Library of Munich, Germany.
    2. Taehoon Kang & B. Wade Brorsen, 1995. "Conditional heteroskedasticity, asymmetry, and option pricing," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 15(8), pages 901-928, December.
    3. 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.
    4. Dasheng Ji & B. Wade Brorsen, 2009. "A relaxed lattice option pricing model: implied skewness and kurtosis," Agricultural Finance Review, Emerald Group Publishing Limited, vol. 69(3), pages 268-283, November.
    5. Bates, David S, 1991. "The Crash of '87: Was It Expected? The Evidence from Options Markets," Journal of Finance, American Finance Association, vol. 46(3), pages 1009-1044, July.
    6. Jehiel, Philippe, 2005. "Analogy-based expectation equilibrium," Journal of Economic Theory, Elsevier, vol. 123(2), pages 81-104, August.
    7. Jimmy E. Hilliard & Jorge A. Reis, 1999. "Jump Processes in Commodity Futures Prices and Options Pricing," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(2), pages 273-286.
    8. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    9. Siddiqi, Hammad, 2012. "The relevance of thinking-by-analogy for investors’ willingness-to-pay: An experimental study," Journal of Economic Psychology, Elsevier, vol. 33(1), pages 19-29.
    10. Gilboa,Itzhak & Schmeidler,David, 2001. "A Theory of Case-Based Decisions," Cambridge Books, Cambridge University Press, number 9780521802345, October.
    11. Sendhil Mullainathan & Joshua Schwartzstein & Andrei Shleifer, 2008. "Coarse Thinking and Persuasion," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(2), pages 577-619.
    12. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
    13. Rockenbach, Bettina, 2004. "The behavioral relevance of mental accounting for the pricing of financial options," Journal of Economic Behavior & Organization, Elsevier, vol. 53(4), pages 513-527, April.
    14. Hilliard, Jimmy E. & Reis, Jorge, 1998. "Valuation of Commodity Futures and Options under Stochastic Convenience Yields, Interest Rates, and Jump Diffusions in the Spot," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(1), pages 61-86, March.
    15. Bruce J. Sherrick & Philip Garcia & Viswanath Tirupattur, 1996. "Recovering probabilistic information from option markets: Tests of distributional assumptions," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 16(5), pages 545-560, August.
    16. Paul L. Fackler & Robert P. King, 1990. "Calibration of Option-Based Probability Assessments in Agricultural Commodity Markets," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(1), pages 73-83.
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    Cited by:

    1. Siddiqi, Hammad, 2015. "Analogy Based Valuation of Currency Options," MPRA Paper 62333, University Library of Munich, Germany.
    2. Siddiqi, Hammad, 2015. "Relative Risk Perception and the Puzzle of Covered Call writing," MPRA Paper 62763, University Library of Munich, Germany.

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