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Calculating the Greeks by Cubature formulas

Josef Teichmann
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Abstract

We provide cubature formulas for the calculation of derivatives of expected values in the spririt of Terry Lyons and Nicolas Victoir. In financial mathematics derivatives of option prices with respect to initial values, so called Greeks, are of particular importance as hedging parameters. Cubature formulas allow to calculate these quantities very quickly. Simple examples are added to the theoretical exposition.

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Josef Teichmann. 2004-10-05. Calculating the Greeks by Cubature formulas. https://arxiv.org/abs/math/0410112

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