Conditional sampling for barrier option pricing under the LT method

Details Conditional sampling for barrier option pricing under the LT method Conditional sampling for barrier option pricing under the LT method

2011-11-21

arxiv.org/abs/1111.4808v1

Economy

Quantitative Finance

Computational Finance

Scientific paper

We develop a conditional sampling scheme for pricing knock-out barrier options under the Linear Transformations (LT) algorithm from Imai and Tan (2006). We compare our new method to an existing conditional Monte Carlo scheme from Glasserman and Staum (2001), and show that a substantial variance reduction is achieved. We extend the method to allow pricing knock-in barrier options and introduce a root-finding method to obtain a further variance reduction. The effectiveness of the new method is supported by numerical results.

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