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• W1996207923 abstract "We calibrate the local volatility surface for European options across all strikes and maturities of the same underlying. There is no interpolation or extrapolation of either the option prices or the volatility surface. We do not make any assumption regarding the shape of the volatility surface except to assume that it is smooth. Due to the smoothness assumption, we apply a second-order Tikhonov regularization. We choose the Tikhonov regularization parameter as one of the singular values of the Jacobian matrix of the Dupire model. Finally we perform extensive numerical tests to assess and verify the aforementioned techniques for both volatility models with known analytical solutions of European option prices and real market option data." @default.
• W1996207923 created "2016-06-24" @default.
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• W1996207923 date "2013-09-11" @default.
• W1996207923 modified "2023-09-27" @default.
• W1996207923 title "Non-parametric calibration of the local volatility surface for European options using a second-order Tikhonov regularization" @default.
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• W1996207923 doi "https://doi.org/10.1080/14697688.2013.819988" @default.
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