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Local Volatility Pricing Models for Long-dated FX Derivatives

  • Griselda Deelstra
  • Gr\'egory Ray\'ee

We study the local volatility function in the Foreign Exchange market where both domestic and foreign interest rates are stochastic. This model is suitable to price long-dated FX derivatives. We derive the local volatility function and obtain several results that can be used for the calibration of this local volatility on the FX option's market. Then, we study an extension to obtain a more general volatility model and propose a calibration method for the local volatility associated to this model.

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File URL: http://arxiv.org/pdf/1204.0633
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Paper provided by arXiv.org in its series Papers with number 1204.0633.

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Date of creation: Apr 2012
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Handle: RePEc:arx:papers:1204.0633
Contact details of provider: Web page: http://arxiv.org/

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  1. Grzelak, Lech & Oosterlee, Kees, 2010. "On cross-currency models with stochastic volatility and correlated interest rates," MPRA Paper 23020, University Library of Munich, Germany.
  2. Rehez Ahlip, 2008. "Foreign Exchange Options Under Stochastic Volatility And Stochastic Interest Rates," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 11(03), pages 277-294.
  3. Frédéric Bossens & Grégory Rayée & Nikos S. Skantzos & Griselda Deelstra, 2010. "Vanna-Volga Methods Applied To Fx Derivatives: From Theory To Market Practice," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 13(08), pages 1293-1324.
  4. Alexander van Haastrecht & Antoon Pelsser, 2011. "Generic pricing of FX, inflation and stock options under stochastic interest rates and stochastic volatility," Quantitative Finance, Taylor & Francis Journals, vol. 11(5), pages 665-691.
  5. Hull, John & White, Alan, 1993. "One-Factor Interest-Rate Models and the Valuation of Interest-Rate Derivative Securities," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(02), pages 235-254, June.
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