Entropy Coherent and Entropy Convex Measures of Risk
AbstractWe introduce two subclasses of convex measures of risk, referred to as entropy coherent and entropy convex measures of risk. We prove that convex, entropy convex and entropy coherent measures of risk emerge as certainty equivalents under variational, homothetic and multiple priors preferences, respectively, upon requiring the certainty equivalents to be translation invariant. In addition, we study the properties of entropy coherent and entropy convex measures of risk, derive their dual conjugate function, and prove their distribution invariant representation. Some financial applications and examples of entropy coherent and entropy convex measures of risk are also investigated.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2011-031.
Date of creation: 2011
Date of revision:
Contact details of provider:
Web page: http://center.uvt.nl
Multiple priors; Variational and homothetic preferences; Robustness; Convex risk measures; Exponential utility; Relative entropy; Translation invariance; Convexity; Indifference valuation;
Find related papers by JEL classification:
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
- G20 - Financial Economics - - Financial Institutions and Services - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-04-09 (All new papers)
- NEP-BAN-2011-04-09 (Banking)
- NEP-RMG-2011-04-09 (Risk Management)
- NEP-UPT-2011-04-09 (Utility Models & Prospect Theory)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2008.
"Uncertainty Averse Preferences,"
Carlo Alberto Notebooks
77, Collegio Carlo Alberto.
- Kaluszka, M. & Laeven, R.J.A. & Okolewski, A., 2012. "A note on weighted premium calculation principles," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 379-381.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Richard Broekman).
If references are entirely missing, you can add them using this form.