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Martingale Restrictions and the Implied Market Price of Risk

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  • Calum G. Turvey
  • Sridar Komar

Abstract

The market price of risk is conceptually one of the most critical artifacts of modern finance, since it provides the linkage between equilibrium and arbitrage models of derivatives pricing. In this paper, the market price of risk is derived for options on live cattle futures contracts. It provides a technique to extract the implied market price of risk (iMPR), which is conceptually similar to that used in extracting implied volatilities. It is shown that the iMPR is not linear across strike prices as theory suggests it should. Le prix de marché du risque est conceptuellement l'un des artéfacts les plus importants de la finance moderne puisqu'il établit le lien entre les modèles d'équilibre et les modèles d'évaluation par arbitrage de l'établissement des prix des dérivés. Dans le présent article, le prix de marché du risque est dérivé pour les options sur contrats à terme de bovins vivants. Il offre une technique pour extraire le prix de marché implicite du risque qui est conceptuellement similaire à celle utilisée pour extraire les volatilités implicites. Il est montré que le prix de marché implicite du risque n'est pas linéaire pour tous les prix de levée comme la théorie semble l'indiquer.

Suggested Citation

  • Calum G. Turvey & Sridar Komar, 2007. "Martingale Restrictions and the Implied Market Price of Risk," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 55(1), pages 138-158, March.
    • Handle: RePEc:bla:canjag:v:55:y:2007:i:1:p:138-158
    DOI: 10.1111/j.1744-7976.2007.00084_2.x
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    Cited by:

    1. Shee, Apurba & Turvey, Calum G., 2008. "Commodity Linked Credit: A Risk Management Instrument for the Agrarians in India," 2007 Agricultural and Rural Finance Markets in Transition, October 4-5, 2007, St. Louis, Missouri 48139, Regional Research Committee NC-1014: Agricultural and Rural Finance Markets in Transition.
    2. Nikolai Dokuchaev, 2018. "On the implied market price of risk under the stochastic numéraire," Annals of Finance, Springer, vol. 14(2), pages 223-251, May.
    3. Calum G. Turvey, 2010. "Biography," Agricultural Finance Review, Emerald Group Publishing Limited, vol. 70(1), pages 5-20, May.
    4. Ching-Ping Wang & Hung-Hsi Huang & Chien-Chia Hung, 2011. "Implied Index And Option Pricing Errors: Evidence From The Taiwan Option Market," The International Journal of Business and Finance Research, The Institute for Business and Finance Research, vol. 5(2), pages 115-125.

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