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Pricing commodity futures options in the Schwartz multi factor model with stochastic volatility: an asymptotic method
International Institute for Financial Studies and RCFMRP, Jiangxi University of Finance and Economics, Nanchang 330013, Jiangxi Province, China.
University of Glasgow, Adam Smith Business School, Department of Economics, Gilbert Scott Building, Glasgow G12 8QQ, United Kingdom.
2017 (English)In: International Review of Financial Analysis, ISSN 1057-5219, E-ISSN 1873-8079, Vol. 52, p. 144-151Article in journal (Refereed) Published
Abstract [en]

In this paper we investigate the applicability of the asymptotic approach developed in Fouque et al. (2000) for pricing commodity futures options in a Schwartz (1997) multi factor model, featuring both stochastic convenience yield and stochastic volatility. We show that the zero order term in the expansion coincides with the Schwartz (1997) two factor term, with expected long-term volatility replacing the constant volatility term, and provide an explicit expression for the first order correction term. Using empirical data from the natural gas futures market, we demonstrate that a significantly better calibration can be achieved by involving the correction term as compared to the standard Schwartz (1997) two factor expression. This improvement comes at virtually no extra effort.

Place, publisher, year, edition, pages
2017. Vol. 52, p. 144-151
Keywords [en]
Commodities, Derivatives, Stochastic volatility, Stochastic convenience yield
National Category
Economics
Identifiers
URN: urn:nbn:se:umu:diva-238876DOI: 10.1016/j.irfa.2017.05.002ISI: 000407408400013Scopus ID: 2-s2.0-85020009562OAI: oai:DiVA.org:umu-238876DiVA, id: diva2:1958784
Available from: 2025-05-16 Created: 2025-05-16 Last updated: 2025-05-20Bibliographically approved

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Ewald, Christian-Oliver

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