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An approximation formula for normal implied volatility under general local stochastic volatility models

Yasaman Karami and Kenichiro Shiraya
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Yasaman Karami: Graduate School of Economics, University of Tokyo
Kenichiro Shiraya: Graduate School of Economics, University of Tokyo

No CARF-F-427, CARF F-Series from Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo

Abstract: We approximate normal implied volatilities by means of an asymptotic expansion method. The contribution of this paper is twofold: to our knowledge, this paper is the first to provide a unified approximation method for the normal implied volatility under general local stochastic volatility models. Second, we compared our method with the Monte-Carlo simulations by using the parameters calibrated to the actual market data and confirmed the accuracy.

Pages: 19 pages
Date: 2018-01
New Economics Papers: this item is included in nep-rmg
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Citations: View citations in EconPapers (3)

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