 An Asymptotic Expansion Approach to Currency Options with a Market Model of Interest Rates under Stochastic Volatility Processes of Spot Exchange Rates (Revised in August 2007 and January 2009; subsequently published in "Asia-Pacific Financial Markets", vol.14, pp.69-121, 2007. )Akihiko Takahashi and
Kohta Takehara
No CARF-F-092, CARF F-Series from Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo Abstract: This paper proposes an asymptotic expansion scheme of currency options with a libor market model of interest rates and stochastic volatility models of spot exchange rates. In particular, we derive approximation formulas for the density functions of the underlying assets and for pricing currency options based on the third order asymptotic expansion scheme; we do not model a foreign exchange rate's variance such as in Heston[1993], but its volatility that follows a general time-inhomogenous Markovian process, and we allow the correlations among all the factors, that is domestic/foreign interest rates, a spot foreign exchange rate and its volatility. Finally, we we provide numerical examples to examine the accuracy of our method and apply the pricing formula to the calibration of volatility surfaces in the JPY/USD option market. Pages: 63 pages There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:cfi:fseres:cf092 Access Statistics for this paper More papers in CARF F-Series from Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo Contact information at EDIRC. |
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