Monotone convex order for the McKean–Vlasov processes
Author
Abstract
Suggested Citation
DOI: 10.1016/j.spa.2022.06.003
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
- Carr, Peter & Ewald, Christian-Oliver & Xiao, Yajun, 2008.
"On the qualitative effect of volatility and duration on prices of Asian options,"
Finance Research Letters,
Elsevier, vol. 5(3), pages 162-171, September.
- Peter Carr & Christian-Oliver Ewald & Yajun Xiao, 2008. "On the Qualitative Effect of Volatility and Duration on Prices of Asian Options," CRIEFF Discussion Papers 0803, Centre for Research into Industry, Enterprise, Finance and the Firm.
- Jan Bergenthum & Ludger Rüschendorf, 2006. "Comparison of Option Prices in Semimartingale Models," Finance and Stochastics, Springer, vol. 10(2), pages 222-249, April.
- Christian†Oliver Ewald & Marc Yor, 2018. "On peacocks and lyrebirds: Australian options, Brownian bridges, and the average of submartingales," Mathematical Finance, Wiley Blackwell, vol. 28(2), pages 536-549, April.
- Benjamin Jourdain & Gilles Pagès, 2022. "Convex Order, Quantization and Monotone Approximations of ARCH Models," Journal of Theoretical Probability, Springer, vol. 35(4), pages 2480-2517, December.
- Ewald, Christian-Oliver & Yor, Marc, 2015. "On increasing risk, inequality and poverty measures: Peacocks, lyrebirds and exotic options," Journal of Economic Dynamics and Control, Elsevier, vol. 59(C), pages 22-36.
- Nicole El Karoui & Monique Jeanblanc‐Picquè & Steven E. Shreve, 1998. "Robustness of the Black and Scholes Formula," Mathematical Finance, Wiley Blackwell, vol. 8(2), pages 93-126, April.
- Jan Bergenthum & Ludger Rüschendorf, 2006. "Comparison of Option Prices in Semimartingale Models," Finance and Stochastics, Springer, vol. 10(2), pages 222-249, April.
- Aurélien Alfonsi & Jacopo Corbetta & Benjamin Jourdain, 2020. "Sampling of probability measures in the convex order by Wasserstein projection," Post-Print hal-01589581, HAL.
- Bogso, Antoine-Marie & Takam Soh, Patrice, 2017. "Weak decreasing stochastic order," Statistics & Probability Letters, Elsevier, vol. 126(C), pages 49-58. Full references (including those not matched with items on IDEAS)
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.- Jonas Al-Hadad & Zbigniew Palmowski, 2020. "Perpetual American options with asset-dependent discounting," Papers 2007.09419, arXiv.org, revised Jan 2021.
- Breton, Jean-Christophe & Privault, Nicolas, 2024. "Wasserstein distance estimates for jump-diffusion processes," Stochastic Processes and their Applications, Elsevier, vol. 172(C).
- Dan Pirjol & Lingjiong Zhu, 2023. "Sensitivities of Asian options in the Black-Scholes model," Papers 2301.06460, arXiv.org.
- Frank Bosserhoff & Mitja Stadje, 2019. "Robustness of Delta Hedging in a Jump-Diffusion Model," Papers 1910.08946, arXiv.org, revised Apr 2022.
- Bergenthum Jan & Rüschendorf Ludger, 2008. "Comparison results for path-dependent options," Statistics & Risk Modeling, De Gruyter, vol. 26(1), pages 53-72, March.
- Erik Ekström & Johan Tysk, 2008. "Convexity theory for the term structure equation," Finance and Stochastics, Springer, vol. 12(1), pages 117-147, January.
- Köpfer, Benedikt & Rüschendorf, Ludger, 2023. "Markov projection of semimartingales — Application to comparison results," Stochastic Processes and their Applications, Elsevier, vol. 162(C), pages 361-386.
- Fabio Bellini & Franco Pellerey & Carlo Sgarra & Salimeh Yasaei Sekeh, 2012. "Comparison results for Garch processes," Papers 1204.3786, arXiv.org.
- Pietro Siorpaes, 2015. "Optimal investment and price dependence in a semi-static market," Finance and Stochastics, Springer, vol. 19(1), pages 161-187, January.
- Chen An & Mahayni Antje B., 2008. "Endowment Assurance Products: Effectiveness of Risk-Minimizing Strategies under Model Risk," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 2(2), pages 1-29, March.
- 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.
- Wenting Chen & Kai Du & Xinzi Qiu, 2017. "Analytic properties of American option prices under a modified Black-Scholes equation with spatial fractional derivatives," Papers 1701.01515, arXiv.org.
- Thierry Roncalli, 2018. "Keep up the momentum," Journal of Asset Management, Palgrave Macmillan, vol. 19(5), pages 351-361, September.
- Gatfaoui Hayette, 2004.
"Idiosyncratic Risk, Systematic Risk and Stochastic Volatility: An Implementation of Merton’s Credit Risk Valuation,"
Finance
0404004, University Library of Munich, Germany.
- Hayette Gatfaoui, 2006. "Idiosyncratic Risk, Systematic Risk and Stochastic Volatility: An Implementation of Merton's Credit Risk Valuation," Post-Print hal-00589918, HAL.
- Hayette Gatfaoui, 2004. "Idiosyncratic Risk, Systematic Risk and Stochastic Volatility: An Implementation of Merton's Credit Risk Valuation," Research Paper Series 123, Quantitative Finance Research Centre, University of Technology, Sydney.
- Philippe Bertrand & Jean-Luc Prigent, 2015.
"On Path-Dependent Structured Funds: Complexity Does Not Always Pay (Asian versus Average Performance Funds),"
Finance, Presses universitaires de Grenoble, vol. 36(2), pages 67-105.
- Philippe Bertrand & Jean-luc Prigent, 2014. "On Path-Dependent Structured Funds: Complexity Does Not Always Pay (Asian versus Average Performance Funds)," Working Papers 2014-348, Department of Research, Ipag Business School.
- Philippe Bertrand & Jean-Luc Prigent, 2015. "On Path-Dependent Structured Funds: Complexity Does Not Always Pay (Asian versus Average Performance Funds)," Post-Print hal-01833074, HAL.
- Barrieu, Pauline & Bellamy, Nadine & Sinclair-Desgagné, Bernard, 2017.
"Assessing contaminated land cleanup costs and strategies,"
LSE Research Online Documents on Economics
68198, London School of Economics and Political Science, LSE Library.
- Pauline Barrieu & Nadine Bellamy & Bernard Sinclair-Desgagné, 2017. "Assessing contaminated land cleanup costs and strategies," Post-Print halshs-02292808, HAL.
- Hyong-Chol O & Ji-Sok Kim, 2013. "General Properties of Solutions to Inhomogeneous Black-Scholes Equations with Discontinuous Maturity Payoffs and Application," Papers 1309.6505, arXiv.org, revised Sep 2013.
- Benjamin Jourdain & Gudmund Pammer, 2023. "An extension of martingale transport and stability in robust finance," Papers 2304.09551, arXiv.org.
- Bogso, Antoine-Marie & Takam Soh, Patrice, 2017. "Weak decreasing stochastic order," Statistics & Probability Letters, Elsevier, vol. 126(C), pages 49-58.
- Jan Bergenthum & Ludger Rüschendorf, 2006. "Comparison of Option Prices in Semimartingale Models," Finance and Stochastics, Springer, vol. 10(2), pages 222-249, April.
More about this item
Keywords
Convex order; Monotone convex order; McKean–Vlasov process; Truncated Euler scheme;
All these keywords.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:eee:spapps:v:152:y:2022:i:c:p:312-338. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.