eprintid: 22950 rev_number: 14 eprint_status: archive userid: 3114 dir: disk0/00/02/29/50 datestamp: 2017-05-12 12:39:47 lastmod: 2017-09-05 17:07:01 status_changed: 2017-05-12 12:39:47 type: workingPaper metadata_visibility: show creators_name: Ziegel, Johanna F. creators_name: Krueger, Fabian creators_name: Jordan, Alexander creators_name: Fasciati, Fernando title: Murphy Diagrams: Forecast Evaluation of Expected Shortfall subjects: 330 divisions: 181000 abstract: Motivated by the Basel 3 regulations, recent studies have considered joint forecasts of Value-at-Risk and Expected Shortfall. A large family of scoring functions can be used to evaluate forecast performance in this context. However, little intuitive or empirical guidance is currently available, which renders the choice of scoring function awkward in practice. We therefore develop graphical checks (Murphy diagrams) of whether one forecast method dominates another under a relevant class of scoring functions, and propose an associated hypothesis test. We illustrate these tools with simulation examples and an empirical analysis of S&P 500 and DAX returns. date: 2017-05-12 id_scheme: DOI id_number: 10.11588/heidok.00022950 schriftenreihe_cluster_id: sr-3 schriftenreihe_order: 0632 ppn_swb: 890702705 own_urn: urn:nbn:de:bsz:16-heidok-229502 language: eng bibsort: ZIEGELJOHAMURPHYDIAG20170512 full_text_status: public series: Discussion Paper Series, University of Heidelberg, Department of Economics volume: 0632 citation: Ziegel, Johanna F. ; Krueger, Fabian ; Jordan, Alexander ; Fasciati, Fernando (2017) Murphy Diagrams: Forecast Evaluation of Expected Shortfall. [Working paper] document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/22950/1/__ad.uni-heidelberg.de_wiso_u.arnold_Desktop_Murphy%20Diagrams%20Forecast%20Evaluation%20of%20Expected%20Shortfall.pdf