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Approximate pricing of European and Barrier claims in a local-stochastic volatility setting

Weston Barger () and Matthew Lorig ()
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Weston Barger: Department of Applied Mathematics, University of Washington, USA
Matthew Lorig: Department of Applied Mathematics, University of Washington, USA

International Journal of Financial Engineering (IJFE), 2017, vol. 04, issue 02n03, 1-31

Abstract: We derive asymptotic expansions for the prices of a variety of European and barrier-style claims in a general local-stochastic volatility setting. Our method combines Taylor series expansions of the diffusion coefficients with an expansion in the correlation parameter between the underlying asset and volatility process. Rigorous accuracy results are provided for European-style claims. For barrier-style claims, we include several numerical examples to illustrate the accuracy and versatility of our approximations.

Keywords: Barrier claim; local volatility; stochastic volatility; asymptotics (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S2424786317500189

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