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Calibration of the SABR Model in Illiquid Markets 

Author: Graeme West a
Affiliation:   a Financial Modelling Agency, South Africa, and Programme in Advanced Mathematics of Finance, School of Computational & Applied Mathematics, University of the Witwatersrand, South Africa
DOI: 10.1080/13504860500148672
Publication Frequency: 6 issues per year
Published in: journal Applied Mathematical Finance, Volume 12, Issue 4 December 2005 , pages 371 - 385
Formats available: HTML (English) : PDF (English)
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Abstract

Recently the SABR model has been developed to manage the option smile which is observed in derivatives markets. Typically, calibration of such models is straightforward as there is adequate data available for robust extraction of the parameters required asinputs to the model. The paper considers calibration of the model in situations where input data is very sparse. Although this will require some creative decision making, the algorithms developed here are remarkably robust and can be used confidently for mark to market and hedging of option portfolios.
Keywords: SABR model; equity derivatives; volatility skew calibration; illiquid markets
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