Endogenous stochastic arbitrage bubbles and the Black–Scholes model
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DOI: 10.1016/j.physa.2021.126323
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- Kirill Ilinski, 1999.
"How to account for virtual arbitrage in the standard derivative pricing,"
Papers
cond-mat/9902047, arXiv.org.
- Kirill Ilinski, 1999. "How to account for virtual arbitrage in the standard derivative pricing," Finance 9902002, University Library of Munich, Germany.
- Bustamante, M. & Contreras, M., 2016. "Multi-asset Black–Scholes model as a variable second class constrained dynamical system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 540-572.
- Contreras, Mauricio & Pellicer, Rely & Villena, Marcelo & Ruiz, Aaron, 2010. "A quantum model of option pricing: When Black–Scholes meets Schrödinger and its semi-classical limit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(23), pages 5447-5459.
- 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.
- Contreras, M. & Echeverría, J. & Peña, J.P. & Villena, M., 2020. "Resonance phenomena in option pricing with arbitrage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
- Kirill Ilinski & Alexander Stepanenko, 1999. "Derivative pricing with virtual arbitrage," Papers cond-mat/9902046, arXiv.org.
- 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.
- Fedotov, Sergei & Panayides, Stephanos, 2005. "Stochastic arbitrage return and its implication for option pricing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 207-217.
- 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.
- Contreras, Mauricio & Montalva, Rodrigo & Pellicer, Rely & Villena, Marcelo, 2010. "Dynamic option pricing with endogenous stochastic arbitrage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3552-3564.
- Panayides, Stephanos, 2006. "Arbitrage opportunities and their implications to derivative hedging," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 289-296.
- 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.
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- Ghysels, E. & Harvey, A. & Renault, E., 1996. "Stochastic Volatility," Cahiers de recherche 9613, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- GHYSELS, Eric & HARVEY, Andrew & RENAULT, Eric, 1995. "Stochastic Volatility," LIDAM Discussion Papers CORE 1995069, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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- Lars Stentoft, 2008. "Option Pricing using Realized Volatility," CREATES Research Papers 2008-13, Department of Economics and Business Economics, Aarhus University.
- F. Fornari & A. Mele, 1998.
"ARCH Models and Option Pricing : The Continuous Time Connection,"
THEMA Working Papers
98-30, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Antonio Mele & Fabio Fornari, 1999. "ARCH Models and Option Pricing: the Continuous-Time Connection," Computing in Economics and Finance 1999 113, Society for Computational Economics.
- Fornari, F. & Mele, A., 1998. "ARCH Models and Option Pricing: The Continuous Time Connection," Papers 9830, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
- Carey, Alexander, 2006. "Path-conditional forward volatility," MPRA Paper 4964, University Library of Munich, Germany.
- Chenxu Li, 2016. "Bessel Processes, Stochastic Volatility, And Timer Options," Mathematical Finance, Wiley Blackwell, vol. 26(1), pages 122-148, January.
- Bakshi, Gurdip S. & Zhiwu, Chen, 1997.
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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.
- Zhu, Ke & Ling, Shiqing, 2015.
"Model-based pricing for financial derivatives,"
Journal of Econometrics, Elsevier, vol. 187(2), pages 447-457.
- Zhu, Ke & Ling, Shiqing, 2014. "Model-based pricing for financial derivatives," MPRA Paper 56623, University Library of Munich, Germany.
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Keywords
Option pricing; Black–Scholes equation; Arbitrage bubbles; Stochastic equations;All these keywords.
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