Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model

[1]  Desmond J. Higham,et al.  Analysing multi-level Monte Carlo for options with non-globally Lipschitz payoff , 2009, Finance Stochastics.

[2]  Michael B. Giles,et al.  Multilevel Monte Carlo Path Simulation , 2008, Oper. Res..

[3]  P. Kloeden,et al.  The Pathwise Convergence of Approximation Schemes for Stochastic Differential Equations , 2007, LMS J. Comput. Math..

[4]  X. Mao,et al.  Euler-Maruyama approximations in mean-reverting stochastic volatility model under regime-switching , 2006 .

[5]  Mireille Bossy,et al.  An efficient discretisation scheme for one dimensional SDEs with a diffusion coefficient function of the form |x|^a, a in [1/2,1) , 2006 .

[6]  Mireille Bossy,et al.  Euler scheme for SDEs with non-Lipschitz diffusion coefficient: strong convergence , 2006 .

[7]  Aurélien Alfonsi,et al.  On the discretization schemes for the CIR (and Bessel squared) processes , 2005, Monte Carlo Methods Appl..

[8]  D. Higham,et al.  Convergence of Monte Carlo Simulations involving the Mean-Reverting Square Root Process , 2005 .

[9]  Hengyan Li,et al.  Nonparametric Specification Testing for Continuous-Time Models with Applications to Term Structure of Interest Rates , 2005 .

[10]  Andrew M. Stuart,et al.  Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations , 2002, SIAM J. Numer. Anal..

[11]  Andrew Ang,et al.  Short Rate Nonlinearities and Regime Switches , 2000 .

[12]  Neil D. Pearson,et al.  Is the Short Rate Drift Actually Nonlinear , 2000 .

[13]  E. Platen,et al.  Balanced Implicit Methods for Stiff Stochastic Systems , 1998 .

[14]  X. Mao,et al.  Stochastic Differential Equations and Applications , 1998 .

[15]  Richard Stanton A Nonparametric Model of Term Structure Dynamics and the Market Price of Interest Rate Risk , 1997 .

[16]  Timothy G. Conley,et al.  Short-term interest rates as subordinated diffusions , 1997 .

[17]  A. Gallant,et al.  ESTIMATION OF CONTINUOUS-TIME MODELS FOR STOCK RETURNS AND INTEREST RATES , 1997, Macroeconomic Dynamics.

[18]  Yacine Ait-Sahalia Testing Continuous-Time Models of the Spot Interest Rate , 1995 .

[19]  Francis A. Longstaff,et al.  The Volatility of Short-Term Interest Rates: An Empirical Comparison of Alternative Models of the Term Structure of Interest Rates , 1992 .

[20]  Eberhard Zeidler,et al.  Nonlinear monotone operators , 1990 .

[21]  P. Kloeden,et al.  Numerical Solution of Stochastic Differential Equations , 1992 .

[22]  A. Friedman Stochastic Differential Equations and Applications , 1975 .