Asymptotic expansion for pricing options for a mean‐reverting asset with multiscale stochastic volatility

Asymptotic expansion for pricing options for a mean‐reverting asset with multiscale stochastic volatility

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Article ID: iaor20117397
Volume: 39
Issue: 4
Start Page Number: 289
End Page Number: 295
Publication Date: Jul 2011
Journal: Operations Research Letters
Authors: , ,
Keywords: option pricing
Abstract:

The valuation of options for an asset which follows a mean‐reverting log‐normal process with a multiscale stochastic volatility. Asymptotic expansion for options and the corresponding implied volatility. A regression‐based calibration for effective stochastic volatility parameters under the proposed model. Numerical examples of the use of the model and showing the quality of the numerical scheme.

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