Advanced Monte Carlo Methods for Barrier and Related Exotic Options

[1]  Stéphane Menozzi.  Improved Simulation for the Killed Brownian Motion in a Cone , 2006, SIAM J. Numer. Anal..

[2]  The law of the Euler scheme for stochastic differential equations , 1996 .

[3]  Mark Broadie,et al.  Connecting discrete and continuous path-dependent options , 1999, Finance Stochastics.

[4]  D. Siegmund.  Corrected diffusion approximations in certain random walk problems , 1979, Advances in Applied Probability.

[5]  P. Ritchken.  On Pricing Barrier Options , 1995 .

[6]  Phelim P. Boyle,et al.  An explicit finite difference approach to the pricing of barrier options , 1998 .

[7]  P. Shevchenko.  Addressing the Bias in Monte Carlo Pricing of Multi-Asset Options with Multiple Barriers Through Discrete Sampling , 2002, 0904.1157.

[8]  E. Gobet.  Euler schemes and half-space approximation for the simulation of diffusion in a domain , 2001 .

[9]  P. Schönbucher,et al.  A Tree Implementation of a Credit Spread Model for Credit Derivatives , 1999 .

[10]  º Çççì.  ANALYSIS OF THE ZIGZAG CONVERGENCE FORBARRIER OPTIONS WITH BINOMIAL TREES , 2001 .

[11]  P. Glasserman,et al.  A Continuity Correction for Discrete Barrier Options , 1997 .

[12]  E. Gobet,et al.  Boundary Sensitivities for Diffusion Processes in Time Dependent Domains , 2006 .

[13]  M. Yor,et al.  Continuous martingales and Brownian motion , 1990 .

[14]  E. Gobet.  Weak approximation of killed diffusion using Euler schemes , 2000 .

[15]  T. Vorst,et al.  Complex Barrier Options , 1996 .

[16]  Emmanuel Gobet,et al.  Stopped diffusion processes: Overshoots and Boundary correction , 2007 .

[17]  Xiongzhi Chen.  Brownian Motion and Stochastic Calculus , 2008 .

[18]  E. Gobet.  Revisiting the Greeks for European and American Options , 2004 .

[19]  Phelim P. Boyle,et al.  Bumping Up Against the Barrier with the Binomial Method , 1994 .

[20]  Shigeyoshi Ogawa,et al.  Stochastic Processes and Applications to Mathematical Finance , 2007 .

[21]  Satishs Iyengar,et al.  Multivariate Models and Dependence Concepts , 1998 .

[22]  G. Allaire,et al.  Shape optimization by the homogenization method , 1997 .

[23]  A Gu,et al.  Breaking down barriers , 2018, Nature Astronomy.

[24]  Paolo Baldi,et al.  Exact asymptotics for the probability of exit from a domain and applications to simulation , 1995 .

[25]  Yuval Peres,et al.  Ladder heights, Gaussian random walks and the Riemann zeta function , 1997 .

[26]  J. Emanuel,et al.  Breaking down the barriers , 2002, Nature.

[27]  E. Derman,et al.  Enhanced Numerical Methods for Options with Barriers , 1995 .

[28]  E. Gobet,et al.  Exact approximation rate of killed hypoelliptic diffusions using the discrete Euler scheme , 2004 .

[29]  Emmanuel Gobet,et al.  Discrete Sampling of Functionals of Ito Processes , 2007 .

[30]  L. C. G. Rogers,et al.  Fast accurate binomial pricing , 1997, Finance Stochastics.

[31]  R. C. Merton,et al.  Theory of Rational Option Pricing , 2015, World Scientific Reference on Contingent Claims Analysis in Corporate Finance.