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Asymptotic Expansion for Small Diffusions Applied to Option Pricing
16 references·4 citing·24 second hop
Asymptotic Expansion for Small Diffusions Applied to Option Pricing (2004)Asymptotic Expansion for Small Diffusions…Introduction to Stochastic Calculus Applied to Finance (2011)Introduction to Stochastic Ca…The Malliavin Calculus and Related Topics (2006)The Malliavin Calculus and Re…Small-diffusion asymptotics for discretely sampled stochastic differential equations (2003)Small-diffusion asymptotics f…The Asymptotic Expansion Approach to the Valuation of Interest Rate Contingent Claims (2001)The Asymptotic Expansion Appr…An Asymptotic Expansion Approach to Pricing Financial Contingent Claims (1999)An Asymptotic Expansion Appro…Stochastic Analysis (1997)Stochastic AnalysisThe Malliavin Calculus and Related Topics (1995)The Malliavin Calculus and Re…Asymptotic expansions of maximum likelihood estimators for small diffusions via the theory of Malliavin-Watanabe (1992)Asymptotic expansions of maxi…Malliavin calculus for processes with jumps (1991)Malliavin calculus for proces…Options, Futures, and Other Derivative Securities. (1990)Options, Futures, and Other D…Maximnm contrast estimation for diffusion processes from discrete observations (1990)Maximnm contrast estimation f…Analysis of Wiener Functionals (Malliavin Calculus) and its Applications to Heat Kernels (1987)Analysis of Wiener Functional…Lectures on Stochastic Differential Equations and Malliavin Calculus (1984)Lectures on Stochastic Differ…Stochastic Differential Equations and Diffusion Processes (1983)Stochastic Differential Equat…Stochastic calculus of variations and hypoelliptic operators (1978)Stochastic calculus of variat…Stochastic calculus of variation and hypoelliptic operators (1978)Stochastic calculus of variat…Least squares estimators for stochastic differential equations driven by small Lévy noises (2016)Least squares estimators for …Least squares estimators for discretely observed stochastic processes driven by small Lévy noises (2013)Least squares estimators for …Parameter estimation for a class of stochastic differential equations driven by small stable noises from discrete observations (2010)Parameter estimation for a cl…Computation in an Asymptotic Expansion Method (2009)Computation in an Asymptotic …The Generalized Hyperbolic Model: Estimation, Financial Derivatives, and Risk Measures (1999)Primal-Dual Simulation Algorithm for Pricing Multidimensional American Options (2004)Fluctuations of Lévy Processes with Applications (2014)Applications of Malliavin calculus to Monte Carlo methods in finance (1999)Stochastic Calculus with Respect to Gaussian Processes (2001)Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations (2004)On the existence of smooth densities for jump processes (1996)White noise generalizations of the Clark-Haussmann-Ocone theorem with application to mathematical finance (2000)Discrete-time approximation of decoupled Forward–Backward SDE with jumps (2007)Itô’s stochastic calculus: Its surprising power for applications (2010)Functional Itô calculus and stochastic integral representation of martingales (2013)Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation (1992)Backward Stochastic Differential Equations in Finance (1997)Controlled Markov Processes and Viscosity Solutions (2005)5 Stochastic volatility (1996)Statistical aspects of ARCH and stochastic volatility (1996)Monte Carlo methods for security pricing (1997)Stein’s method on Wiener chaos (2008)Martingales, the Malliavin calculus and hypoellipticity under general H�rmander's conditions (1981)Stochastic calculus with anticipating integrands (1988)On bifractional Brownian motion (2005)Stochastic heat equation driven by fractional noise and local time (2008)Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes (2004)Central limit theorems for sequences of multiple stochastic integrals (2005)
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References

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116 cited
  • 2003Small-diffusion asymptotics for discretely sampled stochastic differential equations74 cited
  • Cited by

    • 2013Least squares estimators for discretely observed stochastic processes driven by small Lévy noises40 cited
    • 2016Least squares estimators for stochastic differential equations driven by small Lévy noises39 cited
    • 2009Computation in an Asymptotic Expansion Method36 cited
    • 2010Parameter estimation for a class of stochastic differential equations driven by small stable noises from discrete observations30 cited