{ "id": "0812.3027", "version": "v2", "published": "2008-12-16T10:48:06.000Z", "updated": "2009-02-24T10:35:18.000Z", "title": "Mathematical model for resistance and optimal strategy", "authors": [ "Blandine Berard Bergery", "Christophe Profeta", "Etienne Tanré" ], "categories": [ "math.PR" ], "abstract": "We propose a mathematical model for one pattern of charts studied in technical analysis: in a phase of consolidation, the price of a risky asset goes down $\\xi$ times after hitting a resistance level. We construct a mathematical strategy and we calculate the expectation of the wealth for the logaritmic utility function. Via simulations, we compare the strategy with the standard one.", "revisions": [ { "version": "v2", "updated": "2009-02-24T10:35:18.000Z" } ], "analyses": { "subjects": [ "60G35", "91B28", "91B70" ], "keywords": [ "mathematical model", "optimal strategy", "logaritmic utility function", "resistance level", "risky asset" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0812.3027B" } } }