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First time to exit of a continuous Itô process: General moment estimates and ${\mathrm{L}}_{1}$-convergence rate for discrete time approximations
16 references·0 citing·36 second hop
First time to exit of a continuous Itô process: General moment estimates and ${\mathrm{L}}_{1}$-convergence rate for discrete time approximations (2017)First time to exit of a continuous Itô pr…Numerical solution of stochastic differential equations (2016)Numerical solution of stochas…Mean Exit Times and the Multilevel Monte Carlo Method (2013)Mean Exit Times and the Multi…Discretization error of stochastic integrals (2011)Discretization error of stoch…Stopped diffusion processes: Boundary corrections and overshoot (2009)Stopped diffusion processes: …Multilevel Monte Carlo Path Simulation (2008)Multilevel Monte Carlo Path S…A Random Walk on Rectangles Algorithm (2006)A Random Walk on Rectangles A…Sequential Control Variates for Functionals of Markov Processes (2005)Sequential Control Variates f…Exact approximation rate of killed hypoelliptic diffusions using the discrete Euler scheme (2004)Exact approximation rate of k…Stochastic Integration with Jumps (2002)Stochastic Integration with J…Asymptotics of hitting probabilities for general one-dimensional pinned diffusions (2002)Asymptotics of hitting probab…Euler schemes and half-space approximation for the simulation of diffusion in a domain (2001)Euler schemes and half-space …Weak approximation of killed diffusion using Euler schemes (2000)Weak approximation of killed …Simulation of a space-time bounded diffusion (1999)Simulation of a space-time bo…Continuous Martingales and Brownian Motion (1999)Continuous Martingales and Br…Optimal Investment and Consumption with Transaction Costs (1994)Optimal Investment and Consum…Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation (1992)Bond Pricing and the Term Str…Optimum consumption and portfolio rules in a continuous-time model (1971)An Intertemporal Capital Asset Pricing Model (1973)Optimal Investment with Costly Reversibility (1996)Brownian Motion and Stochastic Calculus (2007)Parametric Portfolio Policies: Exploiting Characteristics in the Cross-Section of Equity Returns (2009)Optimal trading strategy and supply/demand dynamics (2012)A Continuity Correction for Discrete Barrier Options (1997)Simulating diffusion processes in discontinuous media: A numerical scheme with constant time steps (2012)Almost sure optimal hedging strategy (2014)On the transition densities for reflected diffusions (2005)Stochastic finite differences for elliptic diffusion equations in stratified domains (2015)Stochastic differential equations with reflecting boundary conditions (1984)The law of the Euler scheme for stochastic differential equations (1996)A symmetrized Euler scheme for an efficient approximation of reflected diffusions (2004)Advanced Monte Carlo Methods for Barrier and Related Exotic Options (2009)A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)Monte Carlo Methods in Financial Engineering (2003)Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients (2011)Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients (2012)Optimal Model Management for Multifidelity Monte Carlo Estimation (2016)Sensitivity Analysis Using Itô--Malliavin Calculus and Martingales, and Application to Stochastic Optimal Control (2005)Stochastic differential equations and applications (2008)Martingales and stochastic integrals in the theory of continuous trading (1981)Stochastic Differential Equations and Diffusion Processes (1983)A Theory of the Term Structure of Interest Rates (1985)A YIELD‐FACTOR MODEL OF INTEREST RATES (1996)Modeling Term Structures of Defaultable Bonds (1999)Valuing American Options by Simulation: A Simple Least-Squares Approach (2001)Reflected and doubly reflected BSDEs with jumps: A priori estimates and comparison (2008)Ornstein–Uhlenbeck Processes and Extensions (2009)Market viability via absence of arbitrage of the first kind (2012)Backward Stochastic Differential Equations in Finance (1997)The Variance Gamma Process and Option Pricing (1998)A General Version of the Fundamental Theorem of Asset Pricing (1994) (2006)Martingale Methods in Financial Modelling (1997)Alternative models for stock price dynamics (2003)
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References

  • 1999Continuous Martingales and Brownian Motion6,200 cited
  • 2016Numerical solution of stochastic differential equations5,095 cited
  • 1992Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation3,170 cited
  • 2008Multilevel Monte Carlo Path Simulation1,436 cited
  • 1994Optimal Investment and Consumption with Transaction Costs622 cited
  • 2002Stochastic Integration with Jumps200 cited
  • 2000Weak approximation of killed diffusion using Euler schemes188 cited
  • 2001Euler schemes and half-space approximation for the simulation of diffusion in a domain89 cited
  • 2009Stopped diffusion processes: Boundary corrections and overshoot70 cited
  • 2006A Random Walk on Rectangles Algorithm54 cited
  • 1999Simulation of a space-time bounded diffusion48 cited
  • 2013Mean Exit Times and the Multilevel Monte Carlo Method42 cited
  • 2002Asymptotics of hitting probabilities for general one-dimensional pinned diffusions38 cited
  • 2004Exact approximation rate of killed hypoelliptic diffusions using the discrete Euler scheme38 cited
  • 2011Discretization error of stochastic integrals32 cited

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  • 2005Sequential Control Variates for Functionals of Markov Processes32 cited
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