SMALL-TIME ASYMPTOTICS FOR FAST MEAN-REVERTING STOCHASTIC VOLATILITY MODELS
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[1] A. Dembo,et al. Large Deviation Techniques and Applications. , 1994 .
[2] Peter K. Friz,et al. Application of large deviation methods to the pricing of index options in finance , 2003 .
[3] J. D. Biggins,et al. Large Deviation Techniques, and Applications , 1994 .
[4] P. Hagan,et al. MANAGING SMILE RISK , 2002 .
[5] Henri Berestycki,et al. Asymptotics and calibration of local volatility models , 2002 .
[6] Jin Feng,et al. Short-Maturity Asymptotics for a Fast Mean-Reverting Heston Stochastic Volatility Model , 2010, SIAM J. Financial Math..
[7] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[8] P. Lions,et al. User’s guide to viscosity solutions of second order partial differential equations , 1992, math/9207212.
[9] G. Papanicolaou,et al. Derivatives in Financial Markets with Stochastic Volatility , 2000 .
[10] T. Kurtz,et al. Large Deviations for Stochastic Processes , 2006 .
[11] A. Jacquier,et al. SMALL-TIME ASYMPTOTICS FOR IMPLIED VOLATILITY UNDER THE HESTON MODEL , 2009 .
[12] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.
[13] K. Brown,et al. Graduate Texts in Mathematics , 1982 .
[14] B. LeBaron,et al. Stochastic volatility as a simple generator of apparent financial power laws and long memory , 2001 .
[15] D. Stroock. An Introduction to the Theory of Large Deviations , 1984 .
[16] Ioannis Karatzas,et al. Brownian Motion and Stochastic Calculus , 1987 .
[17] Ronnie Sircar,et al. Multiscale Stochastic Volatility Asymptotics , 2003, Multiscale Model. Simul..
[18] Martino Bardi,et al. Convergence by Viscosity Methods in Multiscale Financial Models with Stochastic Volatility , 2010, SIAM J. Financial Math..
[19] P. Donnelly. MARKOV PROCESSES Characterization and Convergence (Wiley Series in Probability and Mathematical Statistics) , 1987 .
[20] P. Henry-Labordère. Analysis, Geometry, and Modeling in Finance: Advanced Methods in Option Pricing , 2008 .
[21] Jean-Philippe Bouchaud,et al. Multiple Time Scales in Volatility and Leverage Correlations: An Stochastic Volatility Model , 2003, cond-mat/0302095.
[22] Tosio Kato. Perturbation theory for linear operators , 1966 .
[23] P. Priouret,et al. An introduction to the theory of large deviations , 1986 .
[24] W. Fleming,et al. Controlled Markov processes and viscosity solutions , 1992 .
[25] Marion Kee,et al. Analysis , 2004, Machine Translation.
[26] P. Henry-Labordère. A General Asymptotic Implied Volatility for Stochastic Volatility Models , 2005, cond-mat/0504317.
[27] S. Meyn,et al. Large Deviations Asymptotics and the Spectral Theory of Multiplicatively Regular Markov Processes , 2005, math/0509310.
[28] C. Houdr'e,et al. Third-order short-time expansions for close-to-the-money option prices under the CGMY model , 2013, 1305.4719.
[29] Jim Gatheral. The Volatility Surface: A Practitioner's Guide , 2006 .
[30] Jin Feng. Martingale problems for large deviations of Markov processes , 1999 .
[31] F. Knight. Essentials of Brownian Motion and Diffusion , 1981 .
[32] Konstantinos Spiliopoulos,et al. Maximum likelihood estimation for small noise multiscale diffusions , 2013, 1301.6413.
[33] S. Karlin,et al. A second course in stochastic processes , 1981 .
[34] J. Doob. Stochastic processes , 1953 .
[35] M. Forde. Tail asymptotics for diffusion processes, with applications to local volatility and CEV-Heston models , 2006, math/0608634.
[36] S. Ethier,et al. Markov Processes: Characterization and Convergence , 2005 .
[37] Alan L. Lewis. Option Valuation under Stochastic Volatility , 2000 .
[38] H. Berestycki,et al. Computing the implied volatility in stochastic volatility models , 2004 .