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Arbitrage‐free call option surface construction using regression splines
Authors:Greg Orosi
Institution:Department of Mathematics and Statistics, American University of Sharjah, Sharjah, UAE
Abstract:In this work, we suggest a novel quadratic programming‐based algorithm to generate an arbitrage‐free call option surface. The empirical performance of the proposed method is evaluated using S&P 500 Index call options. Our results indicate that the proposed method provides a more precise fit to observed option prices than other alternative methodologies. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:nonparametric  index option pricing  implied volatility  arbitrage‐free  volatility smile  volatility surface  interpolation  splines
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