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Implied volatility surface reconstruction for energy markets: spot price modeling versus surface parametrization

Mikhail V. Deryabin

Journal of Energy Markets

Abstract: ABSTRACT We describe and compare two methodologies for calculating the implied volatility of commodity prices (given the market prices of options on futures or implied volatilities, and a forward curve). The first methodology involves fitting an exponential mean-reverting jump-diffusion model to the data, while the second uses a particular parametrization of the surface that ensures no-arbitrage conditions. We use NYMEX data on West Texas Intermediate European-type oil options on futures as an example.

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