Title :
Calibration of implied volatility surface using Tikhonov regularization
Author_Institution :
Dept. of Math. & Stat., American Univ. of Sharjah, Sharjah, United Arab Emirates
fDate :
March 30 2010-April 1 2010
Abstract :
We examine the empirical performance of a Tikhonov-regularized implied volatility surface for the purpose of pricing European-style options. Our findings indicate that the performance of the model is comparable to the best performing implied volatility surface-based model reported in current literature. Moreover, the calibration of the Tikhonov regularized model requires significantly less calibration time than the implied volatility fitted by minimizing the nonlinear least-squares objective.
Keywords :
regression analysis; share prices; Tikhonov regularized implied volatility surface; nonlinear least squares objective; pricing European style option; Calibration; Interpolation; Inverse problems; Least squares methods; Mathematics; Polynomials; Portfolios; Pricing; Risk management; Statistics; Empirical Performance; Index Option Pricing; Tikhonov Regularization;
Conference_Titel :
Engineering Systems Management and Its Applications (ICESMA), 2010 Second International Conference on
Conference_Location :
Sharjah
Print_ISBN :
978-1-4244-6520-0
Electronic_ISBN :
978-9948-427-14-8