Economy – Quantitative Finance – Computational Finance
Scientific paper
2011-11-25
Economy
Quantitative Finance
Computational Finance
23 pages, 4 Postscript figures
Scientific paper
Recent years have seen an increased level of interest in pricing equity options under a stochastic volatility model such as the Heston model. Often, simulating a Heston model is difficult, as a standard finite difference scheme may lead to significant bias in the simulation result. Reducing the bias to an acceptable level is not only challenging but computationally demanding. In this paper we address this issue by providing an alternative simulation strategy -- one that systematically decreases the bias in the simulation. Additionally, our methodology is adaptive and achieves the reduction in bias with "near" minimum computational effort. We illustrate this feature with a numerical example.
Iscoe Ian
Lakhany Asif
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