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Improved Frechet bounds and model-free pricing of multi-asset options (1004.4153v2)

Published 23 Apr 2010 in q-fin.PR, math.PR, and q-fin.CP

Abstract: Improved bounds on the copula of a bivariate random vector are computed when partial information is available, such as the values of the copula on a given subset of $[0,1]2$, or the value of a functional of the copula, monotone with respect to the concordance order. These results are then used to compute model-free bounds on the prices of two-asset options which make use of extra information about the dependence structure, such as the price of another two-asset option.

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