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Titlebook: Large Deviations and Asymptotic Methods in Finance; Peter K. Friz,Jim Gatheral,Josef Teichmann Conference proceedings 2015 Springer Intern

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,Asymptotics for ,-Dimensional Lévy-Type Processes, in this paper extend the results from Corielli et al. (SIAM J Financ Math 1:833–867, 2010, [.]), Pagliarani and Pascucci (Int. J. Theor. Appl. Financ. 16(8):1–35, 2013, [.]) to Lorig et al. (Analytical expansions for parabolic equations, 2013, [.]) for Markov diffusions to Markov processes with jumps.
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Probability Distribution in the SABR Model of Stochastic Volatility,ndary conditions at zero forward on the volatility smile. Our analysis is based on a WKB type expansion for the heat kernel of a perturbed Laplace-Beltrami operator on a suitable hyperbolic Riemannian manifold.
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,The Gärtner-Ellis Theorem, Homogenization, and Affine Processes,enerating function in the case of a generic continuous affine process. We also compute the coefficients in the homogenization expansion for the Heston model that is one of the most popular stock price models with stochastic volatility.
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Second Order Expansion for Implied Volatility in Two Factor Local Stochastic Volatility Models and thematics and Statistics, vol. 110, 2015, [.]) and by Henry-Labordère (Springer Proceedings in Mathematics and Statistics, vol. 110, 2015, Geometry, and Modeling in Finance. Chapman & Hall/CRC Financial Mathematics Series, 2008, [., .]).
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On the Probability Density Function of Baskets, date. Explicit computations relate this to a phase transition from a unique to more than one “most-likely” paths (along which the diffusion, if suitably conditioned, concentrates in the afore-mentioned regimes). This also provides a (quantifiable) understanding of how precisely a presently out-of-money basket option may still end up in-the-money.
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