A new approach to improving the estimate of Delta () under European option
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Abstract
Estimating option sensitivities is another quite important task in nancial mathematics. In this paper, we improve the estimate of value for a vanilla European option by a robust stochastic algorithm based on quasi Monte Carlo methods and the antithetic variance reduction technique. In comparison to existing the naive Monte Carlo methods, we can improve accurate signi cantly by implementing our proposed algorithm.
References
[1] P. Brandimarte, Numerical Methods in Finance and Economics, John Wiley & Sons, 2006.
[2] D. J. Duffy, Finite Difference Methods in Financial Engineering, John Wiley & Sons, 2006.
[3] C. Lemieux, Monte Carlo and Quasi-Monte Carlo Sampling, Springer, 2009.
[4] G. Levy, Computational Finance, Elsevier, 2004.
[5] H. Osnes, Variance reduction techniques for Monte Carlo simulation, SINTEF and University of Oslo, 1997.
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[6] R.Y. Rubinstein, Simulation and the Monte Carlo Method, John Wiley & Sons, 1981.