On weak notions of no-arbitrage in a 1D general diffusion market with interest rates
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- David Criens, 2018. "Deterministic Criteria For The Absence And Existence Of Arbitrage In Multi-Dimensional Diffusion Markets," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(01), pages 1-41, February.
- David Criens, 2018. "No Arbitrage in Continuous Financial Markets," Papers 1809.09588, arXiv.org, revised Feb 2020.
- Eva Strasser, 2005. "Characterization of arbitrage-free markets," Papers math/0503473, arXiv.org.
- Yuri Kabanov & Constantinos Kardaras & Shiqi Song, 2016.
"No arbitrage of the first kind and local martingale numéraires,"
Finance and Stochastics, Springer, vol. 20(4), pages 1097-1108, October.
- Kabanov, Yuri & Kardaras, Constantinos & Song, Shiqi, 2016. "No arbitrage of the first kind and local martingale numéraires," LSE Research Online Documents on Economics 68002, London School of Economics and Political Science, LSE Library.
- Alexander Melnikov & Hongxi Wan, 2021. "On modifications of the Bachelier model," Annals of Finance, Springer, vol. 17(2), pages 187-214, June.
- Ioannis Karatzas & Constantinos Kardaras, 2007. "The numéraire portfolio in semimartingale financial models," Finance and Stochastics, Springer, vol. 11(4), pages 447-493, October.
- Claudio Fontana, 2015. "Weak And Strong No-Arbitrage Conditions For Continuous Financial Markets," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 1-34.
- Touhami, Wajdi, 2021. "On skew sticky Brownian motion," Statistics & Probability Letters, Elsevier, vol. 173(C).
- Rossello, Damiano, 2012. "Arbitrage in skew Brownian motion models," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 50-56.
- Aleksandar Mijatović & Mikhail Urusov, 2012. "Deterministic criteria for the absence of arbitrage in one-dimensional diffusion models," Finance and Stochastics, Springer, vol. 16(2), pages 225-247, April.
- Dean Buckner & Kevin Dowd & Hardy Hulley, 2024. "Arbitrage problems with reflected geometric Brownian motion," Finance and Stochastics, Springer, vol. 28(1), pages 1-26, January.
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.- David Criens & Mikhail Urusov, 2023. "Criteria for the absence of arbitrage in general diffusion markets," Papers 2306.11470, arXiv.org, revised Sep 2024.
- Dean Buckner & Kevin Dowd & Hardy Hulley, 2024. "Arbitrage problems with reflected geometric Brownian motion," Finance and Stochastics, Springer, vol. 28(1), pages 1-26, January.
- Claudio Fontana, 2015. "Weak And Strong No-Arbitrage Conditions For Continuous Financial Markets," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 1-34.
- Eckhard Platen & Stefan Tappe, 2020. "The Fundamental Theorem of Asset Pricing for Self-Financing Portfolios," Research Paper Series 411, Quantitative Finance Research Centre, University of Technology, Sydney.
- Eckhard Platen & Stefan Tappe, 2020. "No arbitrage and multiplicative special semimartingales," Papers 2005.05575, arXiv.org, revised Sep 2022.
- Huy N. Chau & Andrea Cosso & Claudio Fontana, 2018. "The value of informational arbitrage," Papers 1804.00442, arXiv.org.
- Dániel Ágoston Bálint & Martin Schweizer, 2018. "Making No-Arbitrage Discounting-Invariant: A New FTAP Beyond NFLVR and NUPBR," Swiss Finance Institute Research Paper Series 18-23, Swiss Finance Institute, revised Mar 2018.
- Laurence Carassus & Emmanuel L'epinette, 2021. "Pricing without no-arbitrage condition in discrete time," Papers 2104.02688, arXiv.org.
- N. Azevedo & D. Pinheiro & S. Z. Xanthopoulos & A. N. Yannacopoulos, 2018. "Who would invest only in the risk-free asset?," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 1-14, September.
- Michael Monoyios, 2020. "Infinite horizon utility maximisation from inter-temporal wealth," Papers 2009.00972, arXiv.org, revised Oct 2020.
- Tahir Choulli & Sina Yansori, 2018. "Log-optimal portfolio without NFLVR: existence, complete characterization, and duality," Papers 1807.06449, arXiv.org.
- Salvador Cruz Rambaud, 2019. "Algebraic Properties of Arbitrage: An Application to Additivity of Discount Functions," Mathematics, MDPI, vol. 7(9), pages 1-25, September.
- Erhan Bayraktar & Donghan Kim & Abhishek Tilva, 2024.
"Arbitrage theory in a market of stochastic dimension,"
Mathematical Finance, Wiley Blackwell, vol. 34(3), pages 847-895, July.
- Erhan Bayraktar & Donghan Kim & Abhishek Tilva, 2022. "Arbitrage theory in a market of stochastic dimension," Papers 2212.04623, arXiv.org, revised Jun 2023.
- David Criens & Mikhail Urusov, 2022. "Separating Times for One-Dimensional General Diffusions," Papers 2211.06042, arXiv.org, revised Feb 2025.
- Simone Farinelli & Hideyuki Takada, 2022. "The Black–Scholes equation in the presence of arbitrage," Quantitative Finance, Taylor & Francis Journals, vol. 22(12), pages 2155-2170, December.
- Fontana, Claudio & Runggaldier, Wolfgang J., 2021. "Arbitrage concepts under trading restrictions in discrete-time financial markets," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 66-80.
- Claudio Fontana & Simone Pavarana & Wolfgang J. Runggaldier, 2023. "A stochastic control perspective on term structure models with roll-over risk," Finance and Stochastics, Springer, vol. 27(4), pages 903-932, October.
- Cuchiero, Christa, 2019. "Polynomial processes in stochastic portfolio theory," Stochastic Processes and their Applications, Elsevier, vol. 129(5), pages 1829-1872.
- Claudio Fontana & Markus Pelger & Eckhard Platen, 2017. "Sure Profits via Flash Strategies and the Impossibility of Predictable Jumps," Research Paper Series 385, Quantitative Finance Research Centre, University of Technology, Sydney.
- Claudio Fontana & Simone Pavarana & Wolfgang J. Runggaldier, 2023. "A stochastic control perspective on term structure models with roll-over risk," Papers 2304.04453, arXiv.org, revised Oct 2023.
Corrections
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:2503.14078. 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.