Coherent and convex monetary risk measures for unbounded càdlàg processes
Author
Abstract
Suggested Citation
DOI: 10.1007/s00780-006-0017-1
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Frittelli, Marco & Rosazza Gianin, Emanuela, 2002. "Putting order in risk measures," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1473-1486, July.
- Epstein, Larry G. & Schneider, Martin, 2003.
"Recursive multiple-priors,"
Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
- Larry G. Epstein & Martin Schneider, 2001. "Recursive Multiple-Priors," RCER Working Papers 485, University of Rochester - Center for Economic Research (RCER).
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Ola Mahmoud, 2015. "The Temporal Dimension of Risk," Papers 1501.01573, arXiv.org, revised Jun 2016.
- Tomasz R. Bielecki & Igor Cialenco & Marcin Pitera, 2014. "A unified approach to time consistency of dynamic risk measures and dynamic performance measures in discrete time," Papers 1409.7028, arXiv.org, revised Sep 2017.
- Loisel, Stéphane & Trufin, Julien, 2014.
"Properties of a risk measure derived from the expected area in red,"
Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 191-199.
- Stéphane Loisel & Julien Trufin, 2014. "Properties of a risk measure derived from the expected area in red," Post-Print hal-00870224, HAL.
- Christopher W. Miller & Insoon Yang, 2015. "Optimal Control of Conditional Value-at-Risk in Continuous Time," Papers 1512.05015, arXiv.org, revised Jan 2017.
- E. Kromer & L. Overbeck & K. Zilch, 2019. "Dynamic systemic risk measures for bounded discrete time processes," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 90(1), pages 77-108, August.
- Christos E. Kountzakis & Damiano Rossello, 2022. "Monetary risk measures for stochastic processes via Orlicz duality," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 45(1), pages 35-56, June.
- Bion-Nadal, Jocelyne, 2009. "Bid-ask dynamic pricing in financial markets with transaction costs and liquidity risk," Journal of Mathematical Economics, Elsevier, vol. 45(11), pages 738-750, December.
- Damiano Rossello & Silvestro Lo Cascio, 2021. "A refined measure of conditional maximum drawdown," Risk Management, Palgrave Macmillan, vol. 23(4), pages 301-321, December.
- Pospisil, Libor & Vecer, Jan & Xu, Mingxin, 2007. "Tradable measure of risk," MPRA Paper 5059, University Library of Munich, Germany.
- Homem-de-Mello, Tito & Pagnoncelli, Bernardo K., 2016. "Risk aversion in multistage stochastic programming: A modeling and algorithmic perspective," European Journal of Operational Research, Elsevier, vol. 249(1), pages 188-199.
- Dan A. Iancu & Marek Petrik & Dharmashankar Subramanian, 2015. "Tight Approximations of Dynamic Risk Measures," Mathematics of Operations Research, INFORMS, vol. 40(3), pages 655-682, March.
- Volker Krätschmer & Marcel Ladkau & Roger J. A. Laeven & John G. M. Schoenmakers & Mitja Stadje, 2018. "Optimal Stopping Under Uncertainty in Drift and Jump Intensity," Mathematics of Operations Research, INFORMS, vol. 43(4), pages 1177-1209, November.
- Wang, Tianxiao & Yong, Jiongmin, 2015. "Comparison theorems for some backward stochastic Volterra integral equations," Stochastic Processes and their Applications, Elsevier, vol. 125(5), pages 1756-1798.
- Patrick Cheridito & Tianhui Li, 2009. "Risk Measures On Orlicz Hearts," Mathematical Finance, Wiley Blackwell, vol. 19(2), pages 189-214, April.
- Alexander S. Cherny, 2009. "Capital Allocation And Risk Contribution With Discrete‐Time Coherent Risk," Mathematical Finance, Wiley Blackwell, vol. 19(1), pages 13-40, January.
- Patrick Cheridito & Ulrich Horst & Michael Kupper & Traian A. Pirvu, 2016.
"Equilibrium Pricing in Incomplete Markets Under Translation Invariant Preferences,"
Mathematics of Operations Research, INFORMS, vol. 41(1), pages 174-195, February.
- Patrick Cheridito & Ulrich Horst & Michael Kupper & Traian A. Pirvu, 2011. "Equilibrium Pricing in Incomplete Markets under Translation Invariant Preferences," SFB 649 Discussion Papers SFB649DP2011-083, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Antoon Pelsser & Mitja Stadje, 2014.
"Time-Consistent And Market-Consistent Evaluations,"
Mathematical Finance, Wiley Blackwell, vol. 24(1), pages 25-65, January.
- Mitja Stadje & Antoon Pelsser, 2011. "Time-Consistent and Market-Consistent Evaluations," Papers 1109.1749, arXiv.org, revised Dec 2013.
- repec:hal:wpaper:hal-00870224 is not listed on IDEAS
- Jocelyne Bion-Nadal, 2007. "Bid-Ask Dynamic Pricing in Financial Markets with Transaction Costs and Liquidity Risk," Papers math/0703074, arXiv.org.
- Sabrina Mulinacci, 2011. "The efficient hedging problem for American options," Finance and Stochastics, Springer, vol. 15(2), pages 365-397, June.
- Masaaki Fukasawa & Mitja Stadje, 2017. "Perfect hedging under endogenous permanent market impacts," Papers 1702.01385, arXiv.org.
- Engsner, Hampus & Lindholm, Mathias & Lindskog, Filip, 2017. "Insurance valuation: A computable multi-period cost-of-capital approach," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 250-264.
- Riccardo Gatto & Benjamin Baumgartner, 2014. "Value at Ruin and Tail Value at Ruin of the Compound Poisson Process with Diffusion and Efficient Computational Methods," Methodology and Computing in Applied Probability, Springer, vol. 16(3), pages 561-582, September.
- Masaaki Fukasawa & Mitja Stadje, 2018. "Perfect hedging under endogenous permanent market impacts," Finance and Stochastics, Springer, vol. 22(2), pages 417-442, April.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Acciaio, Beatrice & Föllmer, Hans & Penner, Irina, 2012. "Risk assessment for uncertain cash flows: model ambiguity, discounting ambiguity, and the role of bubbles," LSE Research Online Documents on Economics 50118, London School of Economics and Political Science, LSE Library.
- repec:hum:wpaper:sfb649dp2005-051 is not listed on IDEAS
- Roger J. A. Laeven & Mitja Stadje, 2014. "Robust Portfolio Choice and Indifference Valuation," Mathematics of Operations Research, INFORMS, vol. 39(4), pages 1109-1141, November.
- Schied, Alexander, 2005. "Optimal investments for risk- and ambiguity-averse preferences: A duality approach," SFB 649 Discussion Papers 2005-051, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
- Bellini, Fabio & Laeven, Roger J.A. & Rosazza Gianin, Emanuela, 2021. "Dynamic robust Orlicz premia and Haezendonck–Goovaerts risk measures," European Journal of Operational Research, Elsevier, vol. 291(2), pages 438-446.
- Weber, Stefan, 2003. "Distribution-Invariant Dynamic Risk Measures," SFB 373 Discussion Papers 2003,53, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- A. Jobert & L. C. G. Rogers, 2008.
"Valuations And Dynamic Convex Risk Measures,"
Mathematical Finance, Wiley Blackwell, vol. 18(1), pages 1-22, January.
- A. Jobert & L. C. G. Rogers, 2007. "Valuations and dynamic convex risk measures," Papers 0709.0232, arXiv.org.
- Roorda, Berend & Schumacher, J.M., 2007. "Time consistency conditions for acceptability measures, with an application to Tail Value at Risk," Insurance: Mathematics and Economics, Elsevier, vol. 40(2), pages 209-230, March.
- Stadje, Mitja, 2010. "Extending dynamic convex risk measures from discrete time to continuous time: A convergence approach," Insurance: Mathematics and Economics, Elsevier, vol. 47(3), pages 391-404, December.
- Beatrice Acciaio & Hans Föllmer & Irina Penner, 2012. "Risk assessment for uncertain cash flows: model ambiguity, discounting ambiguity, and the role of bubbles," Finance and Stochastics, Springer, vol. 16(4), pages 669-709, October.
- Dräger, Lena & Lamla, Michael J. & Pfajfar, Damjan, 2020.
"The Hidden Heterogeneity of Inflation and Interest Rate Expectations: The Role of Preferences,"
Hannover Economic Papers (HEP)
dp-666, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät, revised Feb 2023.
- Lena Dräger & Michael J. Lamla & Damjan Pfajfar & Lena Dräger & Michael Lamla, 2022. "The Hidden Heterogeneity of Inflation and Interest Rate Expectations: The Role of Preferences," CESifo Working Paper Series 9637, CESifo.
- Lena Dräger & Michael J. Lamla & Damjan Pfajfar, 2021. "The Hidden Heterogeneity of Inflation and Interest Rate Expectations: The Role of Preferences," Working Paper Series in Economics 402, University of Lüneburg, Institute of Economics.
- Claudio Michelacci & Luigi Paciello, 2020.
"Ambiguous Policy Announcements,"
The Review of Economic Studies, Review of Economic Studies Ltd, vol. 87(5), pages 2356-2398.
- Claudio Michelacci & Luigi Paciello, 2017. "Ambiguous Policy Announcements," EIEF Working Papers Series 1701, Einaudi Institute for Economics and Finance (EIEF), revised Dec 2017.
- Paciello, Luigi & Michelacci, Claudio, 2017. "Ambiguous Policy Announcements," CEPR Discussion Papers 11754, C.E.P.R. Discussion Papers.
- Zachary Feinstein & Birgit Rudloff, 2018. "Scalar multivariate risk measures with a single eligible asset," Papers 1807.10694, arXiv.org, revised Feb 2021.
- Zimper, Alexander, 2012. "Asset pricing in a Lucas fruit-tree economy with the best and worst in mind," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 610-628.
- Schuhmacher, Frank & Eling, Martin, 2012. "A decision-theoretic foundation for reward-to-risk performance measures," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 2077-2082.
- Maximilian Blesch & Philipp Eisenhauer, 2021. "Robust decision-making under risk and ambiguity," Papers 2104.12573, arXiv.org, revised Oct 2021.
- Strzalecki, Tomasz & Werner, Jan, 2011.
"Efficient allocations under ambiguity,"
Journal of Economic Theory, Elsevier, vol. 146(3), pages 1173-1194, May.
- Tomasz Strzalecki & Jan Werner, "undated". "Efficient Allocations under Ambiguity," Working Paper 8325, Harvard University OpenScholar.
- Strzalecki, Tomasz & Werner, Jan, 2011. "Efficient Allocations under Ambiguity," Scholarly Articles 11352637, Harvard University Department of Economics.
- Wentao Hu & Cuixia Chen & Yufeng Shi & Ze Chen, 2022. "A Tail Measure With Variable Risk Tolerance: Application in Dynamic Portfolio Insurance Strategy," Methodology and Computing in Applied Probability, Springer, vol. 24(2), pages 831-874, June.
- Heyen, Daniel, 2018. "Ambiguity aversion under maximum-likelihood updating," LSE Research Online Documents on Economics 80342, London School of Economics and Political Science, LSE Library.
- Hansen, Lars Peter & Sargent, Thomas J., 2007.
"Recursive robust estimation and control without commitment,"
Journal of Economic Theory, Elsevier, vol. 136(1), pages 1-27, September.
- Hansen, Lars Peter & Sargent, Thomas J., 2005. "Recursive robust estimation and control without commitment," Discussion Paper Series 1: Economic Studies 2005,28, Deutsche Bundesbank.
More about this item
Keywords
Coherent risk measures; Convex monetary risk measures; Coherent utility functionals; Concave monetary utility functionals; Unbounded càdlàg processes; Extension of risk measures; 91B30; 91B16; 60G07; 52A07; 46A55; 46A20; D81; C60; G18;All these keywords.
JEL classification:
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
- G18 - Financial Economics - - General Financial Markets - - - Government Policy and Regulation
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:finsto:v:10:y:2006:i:3:p:427-448. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.