{ "id": "1004.4153", "version": "v2", "published": "2010-04-23T14:58:56.000Z", "updated": "2011-03-25T14:24:09.000Z", "title": "Improved Frechet bounds and model-free pricing of multi-asset options", "authors": [ "Peter Tankov" ], "comment": "Replaced with revised version", "categories": [ "q-fin.PR", "math.PR", "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.", "revisions": [ { "version": "v2", "updated": "2011-03-25T14:24:09.000Z" } ], "analyses": { "subjects": [ "60E15", "91G20" ], "keywords": [ "multi-asset options", "frechet bounds", "model-free pricing", "two-asset option", "bivariate random vector" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1004.4153T" } } }