{ "id": "1304.1420", "version": "v4", "published": "2013-04-04T16:27:25.000Z", "updated": "2015-02-18T21:33:25.000Z", "title": "Fluctuation Analysis for the Loss From Default", "authors": [ "Konstantinos Spiliopoulos", "Justin A. Sirignano", "Kay Giesecke" ], "journal": "Stochastic Processes and their Applications, Volume 124, Issue 7, 2014, pp. 2322-2362", "categories": [ "math.PR", "q-fin.PM", "q-fin.RM" ], "abstract": "We analyze the fluctuation of the loss from default around its large portfolio limit in a class of reduced-form models of correlated firm-by-firm default timing. We prove a weak convergence result for the fluctuation process and use it for developing a conditionally Gaussian approximation to the loss distribution. Numerical results illustrate the accuracy and computational efficiency of the approximation.", "revisions": [ { "version": "v3", "updated": "2013-10-25T16:07:37.000Z", "comment": null, "journal": null, "doi": null }, { "version": "v4", "updated": "2015-02-18T21:33:25.000Z" } ], "analyses": { "subjects": [ "60F05", "60F17", "60G55" ], "keywords": [ "fluctuation analysis", "large portfolio limit", "weak convergence result", "reduced-form models", "correlated firm-by-firm default" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1304.1420S" } } }