Equal Risk Pricing and Hedging of Financial Derivatives with Convex Risk Measures
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- Andrzej Ruszczyński & Alexander Shapiro, 2006.
"Conditional Risk Mappings,"
Mathematics of Operations Research, INFORMS, vol. 31(3), pages 544-561, August.
- Andrzej Ruszczynski & Alexander Shapiro, 2004. "Conditional Risk Mappings," Risk and Insurance 0404002, University Library of Munich, Germany, revised 08 Oct 2005.
- François, Pascal & Gauthier, Geneviève & Godin, Frédéric, 2014. "Optimal hedging when the underlying asset follows a regime-switching Markov process," European Journal of Operational Research, Elsevier, vol. 237(1), pages 312-322.
- Christian Gourieroux & Jean Paul Laurent & Huyên Pham, 1998.
"Mean‐Variance Hedging and Numéraire,"
Mathematical Finance, Wiley Blackwell, vol. 8(3), pages 179-200, July.
- Gourieroux, Christian & Laurent, Jean-Paul & Pham, Huyên, 1996. "Mean-variance hedging and numeraire," CEPREMAP Working Papers (Couverture Orange) 9611, CEPREMAP.
- repec:dau:papers:123456789/10794 is not listed on IDEAS
- Amin, Kaushik I, 1993. "Jump Diffusion Option Valuation in Discrete Time," Journal of Finance, American Finance Association, vol. 48(5), pages 1833-1863, December.
- Robert C. Merton, 2005.
"Theory of rational option pricing,"
World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288,
World Scientific Publishing Co. Pte. Ltd..
- Robert C. Merton, 1973. "Theory of Rational Option Pricing," Bell Journal of Economics, The RAND Corporation, vol. 4(1), pages 141-183, Spring.
- Bandi, Chaithanya & Bertsimas, Dimitris, 2014. "Robust option pricing," European Journal of Operational Research, Elsevier, vol. 239(3), pages 842-853.
- Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
- Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
- Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
- Brennan, M J, 1979. "The Pricing of Contingent Claims in Discrete Time Models," Journal of Finance, American Finance Association, vol. 34(1), pages 53-68, March.
- Guo, Ivan & Zhu, Song-Ping, 2017. "Equal risk pricing under convex trading constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 76(C), pages 136-151.
- Carr, Peter & Geman, Helyette & Madan, Dilip B., 2001. "Pricing and hedging in incomplete markets," Journal of Financial Economics, Elsevier, vol. 62(1), pages 131-167, October.
- Hull, John C & White, Alan D, 1987. "The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June.
- Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
- Schweizer, Martin, 1999. "A guided tour through quadratic hedging approaches," SFB 373 Discussion Papers 1999,96, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Dimitris Bertsimas & Leonid Kogan & Andrew W. Lo, 2001. "Hedging Derivative Securities and Incomplete Markets: An (epsilon)-Arbitrage Approach," Operations Research, INFORMS, vol. 49(3), pages 372-397, June.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Saeed Marzban & Erick Delage & Jonathan Yumeng Li, 2021. "Deep Reinforcement Learning for Equal Risk Pricing and Hedging under Dynamic Expectile Risk Measures," Papers 2109.04001, arXiv.org.
- Alexandre Carbonneau & Fr'ed'eric Godin, 2021. "Deep Equal Risk Pricing of Financial Derivatives with Multiple Hedging Instruments," Papers 2102.12694, arXiv.org.
- Alexandre Carbonneau & Fr'ed'eric Godin, 2021. "Deep equal risk pricing of financial derivatives with non-translation invariant risk measures," Papers 2107.11340, arXiv.org.
- Jay Cao & Jacky Chen & Soroush Farghadani & John Hull & Zissis Poulos & Zeyu Wang & Jun Yuan, 2022. "Gamma and Vega Hedging Using Deep Distributional Reinforcement Learning," Papers 2205.05614, arXiv.org, revised Jan 2023.
- Alexandre Carbonneau & Fr'ed'eric Godin, 2020. "Equal Risk Pricing of Derivatives with Deep Hedging," Papers 2002.08492, arXiv.org, revised Jun 2020.
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.- Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
- Mark Broadie & Jerome B. Detemple, 2004. "ANNIVERSARY ARTICLE: Option Pricing: Valuation Models and Applications," Management Science, INFORMS, vol. 50(9), pages 1145-1177, September.
- Alexandre Carbonneau & Fr'ed'eric Godin, 2021. "Deep equal risk pricing of financial derivatives with non-translation invariant risk measures," Papers 2107.11340, arXiv.org.
- Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
- Barr, Kanlaya Jintanakul, 2009. "The implied volatility bias and option smile: is there a simple explanation?," ISU General Staff Papers 200901010800002026, Iowa State University, Department of Economics.
- René Garcia & Eric Ghysels & Eric Renault, 2004. "The Econometrics of Option Pricing," CIRANO Working Papers 2004s-04, CIRANO.
- Ian Garrett & Adnan Gazi, 2024. "Early exercise, implied volatility spread and future stock return: Jumps bind them all," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 44(5), pages 720-743, May.
- René Garcia & Richard Luger & Eric Renault, 2000.
"Asymmetric Smiles, Leverage Effects and Structural Parameters,"
Working Papers
2000-57, Center for Research in Economics and Statistics.
- René Garcia & Richard Luger & Eric Renault, 2001. "Asymmetric Smiles, Leverage Effects and Structural Parameters," CIRANO Working Papers 2001s-01, CIRANO.
- GARCIA,René & LUGER, Richard & RENAULT, Éric, 2001. "Asymmetric Smiles, Leverage Effects and Structural Parameters," Cahiers de recherche 2001-09, Universite de Montreal, Departement de sciences economiques.
- Garcia, R. & Luger, R. & Renault, E., 2001. "Asymmetric Smiles, Leverage Effects and Structural Parameters," Cahiers de recherche 2001-09, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Virmani, Vineet, 2014. "Model Risk in Pricing Path-dependent Derivatives: An Illustration," IIMA Working Papers WP2014-03-22, Indian Institute of Management Ahmedabad, Research and Publication Department.
- Carr, Peter & Geman, Helyette & Madan, Dilip B., 2001. "Pricing and hedging in incomplete markets," Journal of Financial Economics, Elsevier, vol. 62(1), pages 131-167, October.
- Bakshi, Gurdip S. & Zhiwu, Chen, 1997.
"An alternative valuation model for contingent claims,"
Journal of Financial Economics, Elsevier, vol. 44(1), pages 123-165, April.
- Gurdip S. Bakshi & Zhiwu Chen, 1996. "An Alternative Valuation Model for Contingent Claims," Yale School of Management Working Papers ysm78, Yale School of Management.
- Lin, Zhongguo & Han, Liyan & Li, Wei, 2021. "Option replication with transaction cost under Knightian uncertainty," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
- Cosma, Antonio & Galluccio, Stefano & Scaillet, Olivier, 2012.
"Valuing American options using fast recursive projections,"
Working Papers
unige:41856, University of Geneva, Geneva School of Economics and Management.
- Cosma, Antonio & Galluccio, Stefano & Pederzoli, Paola & Scaillet, Olivier, 2016. "Valuing American options using fast recursive projections," Working Papers unige:82087, University of Geneva, Geneva School of Economics and Management.
- Antonio Cosma & Stefano Galluccio & Paola Pederzoli & Olivier Scaillet, 2015. "Valuing American options using fast recursive projections," DEM Discussion Paper Series 15-20, Department of Economics at the University of Luxembourg.
- Antonio Cosma & Stefano Galluccio & Paola Pederzoli & O. Scaillet, 2012. "Valuing American Options Using Fast Recursive Projections," Swiss Finance Institute Research Paper Series 12-26, Swiss Finance Institute.
- René Garcia & Richard Luger & Éric Renault, 2005.
"Viewpoint: Option prices, preferences, and state variables,"
Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 38(1), pages 1-27, February.
- René Garcia & Richard Luger & Éric Renault, 2005. "Viewpoint: Option prices, preferences, and state variables," Canadian Journal of Economics, Canadian Economics Association, vol. 38(1), pages 1-27, February.
- Bing-Huei Lin & Mao-Wei Hung & Jr-Yan Wang & Ping-Da Wu, 2013. "A lattice model for option pricing under GARCH-jump processes," Review of Derivatives Research, Springer, vol. 16(3), pages 295-329, October.
- Cheng Few Lee & Yibing Chen & John Lee, 2020.
"Alternative Methods to Derive Option Pricing Models: Review and Comparison,"
World Scientific Book Chapters, in: Cheng Few Lee & John C Lee (ed.), HANDBOOK OF FINANCIAL ECONOMETRICS, MATHEMATICS, STATISTICS, AND MACHINE LEARNING, chapter 102, pages 3573-3617,
World Scientific Publishing Co. Pte. Ltd..
- Cheng-Few Lee & Yibing Chen & John Lee, 2016. "Alternative methods to derive option pricing models: review and comparison," Review of Quantitative Finance and Accounting, Springer, vol. 47(2), pages 417-451, August.
- Donald Aingworth & Sanjiv Das & Rajeev Motwani, 2006. "A simple approach for pricing equity options with Markov switching state variables," Quantitative Finance, Taylor & Francis Journals, vol. 6(2), pages 95-105.
- Guidolin, Massimo & Timmermann, Allan, 2003.
"Option prices under Bayesian learning: implied volatility dynamics and predictive densities,"
Journal of Economic Dynamics and Control, Elsevier, vol. 27(5), pages 717-769, March.
- Allan Timmermann & Massimo Guidolin, 2001. "Option Prices under Bayesian Learning: Implied Volatility Dynamics and Predictive Densities," FMG Discussion Papers dp397, Financial Markets Group.
- Guidolin, Massimo & Timmermann, Allan, 2001. "Option prices under Bayesian learning: implied volatility dynamics and predictive densities," LSE Research Online Documents on Economics 119091, London School of Economics and Political Science, LSE Library.
- Timmermann, Allan & Guidolin, Massimo, 2001. "Option Prices under Bayesian Learning: Implied Volatility Dynamics and Predictive Densities," CEPR Discussion Papers 3005, C.E.P.R. Discussion Papers.
- Xun Li & Ping Lin & Xue-Cheng Tai & Jinghui Zhou, 2015. "Pricing Two-asset Options under Exponential L\'evy Model Using a Finite Element Method," Papers 1511.04950, arXiv.org.
- Chuang-Chang Chang & Jun-Biao Lin, 2010. "The valuation of multivariate contingent claims under transformed trinomial approaches," Review of Quantitative Finance and Accounting, Springer, vol. 34(1), pages 23-36, January.
More about this item
NEP fields
This paper has been announced in the following NEP Reports:- NEP-RMG-2020-02-24 (Risk Management)
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:arx:papers:2002.02876. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.