References
- P. Baldi, Exact asymptotics for the probability of exit from a domain and applications to simulation, Ann. Probab. 23 (1995), no. 4, 1644-1670 https://doi.org/10.1214/aop/1176987797
- F. Black and M. Sholes, The pricing of options and corporate liabilities, J. Political Economy 81 (1973), no. 3, 637-659 https://doi.org/10.1086/260062
- A. Dzougoutov, K.-S. Moon, E. von Schwerin, A. Szepessy, and R. Tempone, Adaptive Monte Carlo algorithms for stopped diffusion, in Multiscale methods in science and engineering, Lecture notes in computational science and engineering 44, 59-88, Springer, Berlin, 2005
- E. Gobet, Weak approximation of killed diffusion using Euler schemes, Stochastic Process. Appl. 87 (2000), no. 2, 167-197 https://doi.org/10.1016/S0304-4149(99)00109-X
- E. G. Haug The Complete Guide to Option Pricing Formulas, MaGraw-Hill, 1997
- J. C. Hull, Options, Futures and Others, Prentice Hall, 2003
- M. Ikeda and N. Kunitomo, Pricing options with curved boundaries, Mathematical Finance (1992), no. 2, 275-298 https://doi.org/10.1111/j.1467-9965.1992.tb00033.x
- K. M. Jansons and G. D. Lythe, Efficient numerical solution of stochastic differential equations using exponential timestepping, J. Stat. Phys. 100 (2000), 1097-1109 https://doi.org/10.1023/A:1018711024740
- I. Karatzas and S. E. Shreve, Brownian Motion and Stochastic Calculus, Springer-Verlag, 1991
- R. Mannella, Absorbing boundaries and optimal stopping in a stochastic differential equation, Physics Letters A 254 (1999), 257-262 https://doi.org/10.1016/S0375-9601(99)00117-6
- R. C. Merton, Theory of rational option pricing, Bell J. Econ. Manag. Sci. 4 (1973), no. 1, 141-183 https://doi.org/10.2307/3003143
- S. A. K. Metwally and A. F. Atiya, Using Brownian bridge for fast simulation of jumpdiffusion processes and barrier options, J. Derivatives Fall (2002), 43-54 https://doi.org/10.3905/jod.2002.319189
- E. Reiner and M. Rubinstein, Breaking down the barriers, Risk 4 (1991), no. 8, 28-35
- P. Wilmott, S. Howison, and J. Dewynne, The Mathematics of Financial Derivatives, Cambridge University Press, 1995
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