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Uniform asymptotic expansions for pricing European options

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Publication:816972
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DOI10.1007/s00245-005-0833-2zbMath1087.60045OpenAlexW1991813615MaRDI QIDQ816972

G. George Yin, Rafail Z. Khasminskii

Publication date: 2 March 2006

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-005-0833-2


zbMATH Keywords

diffusionSingular perturbationEuropean optionTwo-time scale


Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Derivative securities (option pricing, hedging, etc.) (91G20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)


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A Stochastic Approximation Algorithm for American Lookback Put Options ⋮ Asymptotic expansions for solutions of parabolic systems associated with multi-scale switching diffusions ⋮ Asymptotic analysis for stochastic volatility: martingale expansion ⋮ A uniform asymptotic expansion for stochastic volatility model in pricing multi‐asset European options ⋮ Stochastic Optimization Methods for Buying-Low-and-Selling-High Strategies



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