Skip to content
IJAMR International Journal of Applied Mathematical Research E-ISSN 2227-4324

A new approach to improving the estimate of Delta () under European option

Authors and Affiliations

About this article

Download PDF

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.

View more references (1)

[6] R.Y. Rubinstein, Simulation and the Monte Carlo Method, John Wiley & Sons, 1981.


How to Cite

Mehrdoust, F. (2012). A new approach to improving the estimate of Delta () under European option. International Journal of Applied Mathematical Research, 1(3), 282-287. https://doi.org/10.14419/ijamr.v1i3.121