Local Volatility Pricing Models for Long-Dated FX Derivatives

Griselda Deelstra, Gregory Rayee

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We study the local volatility function in the foreign exchange (FX) 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 with this model.
Original languageEnglish
Pages (from-to)380-402
Number of pages23
JournalApplied Mathematical Finance
Volume20
Publication statusPublished - 2013

Keywords

  • local volatility
  • stochastic volatility

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