Kernel Estimation of the Greeks for Options with Discontinuous Payoffs
Published Online:7 Dec 2010https://doi.org/10.1287/opre.1100.0844
References
- Stochastic Simulation: Algorithms and Analysis (2007) (Springer, New York) Crossref, Google Scholar
- Monte Carlo evaluation of Greeks for multidimensional barrier and lookback options. Math. Finance (2003) 13(1):99–113Crossref, Google Scholar
- Nonparametric Statistics for Stochastic Processes (1998) 2nd ed.(Springer, New York) Crossref, Google Scholar
- Estimating security price derivatives using simulation. Management Sci. (1996) 42(2):269–285Link, Google Scholar
- Malliavin Greeks without Malliavin calculus. Stochastic Processes Their Appl. (2007) 117(11):1689–1723Crossref, Google Scholar
- Monte Carlo simulation in financial engineering. Proc. 2007 Winter Simulation Conf. (2007) 919–931Crossref, Google Scholar
- Sensitivity estimates for portfolio credit derivatives using Monte Carlo. Finance Stochastics (2008) 12(4):507–540Crossref, Google Scholar
- Probability: Theory and Examples (2005) 3rd ed.(Duxbury Press, Belmont, CA) Google Scholar
- Kernel estimation of Greek weights by parameter randomization. Anal. Appl. Probab. (2007) 14(4):1399–1423Crossref, Google Scholar
- , Henderson S. G., Nelson B. L. Gradient estimation. Simulation: Handbooks in Operations Research and Management Science (2006) (Elsevier, Amsterdam, The Netherlands) Crossref, Google Scholar
- Conditional Monte Carlo, Gradient Estimation and Optimization Applications (1997) (Kluwer Academic Publishers, Boston) Crossref, Google Scholar
- Monte Carlo Methods in Financial Engineering (2004) (Springer, New York) Crossref, Google Scholar
- Likelihood ratio gradient estimation: An overview. Proc. 1987 Winter Simulation Conf. (1987) 366–374Crossref, Google Scholar
- Smoothed (conditional) perturbation analysis of discrete dynamical systems. IEEE Trans. Automatic Control (1987) 32(10):858–866Crossref, Google Scholar
- Perturbation analysis and optimization of queueing networks. J. Optim. Theory Appl. (1983) 40(4):559–582Crossref, Google Scholar
- Estimating quantile sensitivities. Oper. Res. (2009) 57:118–130Link, Google Scholar
- Pathwise estimation of probability sensitivities through terminating or steady-state simulations. Oper. Res. (2010) 58(2):357–370Link, Google Scholar
- Options, Futures and Other Derivatives (2006) 6th ed.(Pearson/Prentice Hall, Englewood Cliffs, NJ) Google Scholar
- Valuation of a CDO and an nth default CDS without Monte Carlo simulation. J. Derivatives (2004) 12(2):8–23Crossref, Google Scholar
- An overview of derivative estimation. Proc. 1991 Winter Simulation Conf. (1991) 207–217Crossref, Google Scholar
- Elementary Classical Analysis (1993) 2nd ed.(Freeman, New York) Google Scholar
- Derivatives of Probability Measures—Concepts and Applications to the Optimization of Stochastic Systems (1988) (Springer, Berlin) Crossref, Google Scholar
- Probability gradient estimation by set-valued calculus and applications in network design. SIAM J. Optim. (2005) 15(3):898–914Crossref, Google Scholar

