A quantum model of option pricing: When Black–Scholes meets Schrödinger and its semi-classical limit
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DOI: 10.1016/j.physa.2010.08.018
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Cited by:
- Kartono, Agus & Solekha, Siti & Sumaryada, Tony & Irmansyah,, 2021. "Foreign currency exchange rate prediction using non-linear Schrödinger equations with economic fundamental parameters," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
- Will Hicks, 2020. "Pseudo-Hermiticity, Martingale Processes and Non-Arbitrage Pricing," Papers 2009.00360, arXiv.org, revised Apr 2021.
- Denis M. Filatov & Maksim A. Vanyarkho, 2014. "An Unconventional Attempt to Tame Mandelbrot's Grey Swans," Papers 1406.5718, arXiv.org.
- Axel A. Araneda & Marcelo J. Villena, 2018. "Computing the CEV option pricing formula using the semiclassical approximation of path integral," Papers 1803.10376, arXiv.org.
- Mauricio Contreras G, 2020. "An Application of Dirac's Interaction Picture to Option Pricing," Papers 2010.06747, arXiv.org.
- Chowdhury, Reaz & Mahdy, M.R.C. & Alam, Tanisha Nourin & Al Quaderi, Golam Dastegir & Arifur Rahman, M., 2020. "Predicting the stock price of frontier markets using machine learning and modified Black–Scholes Option pricing model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
- 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, 2017.
"Dynamic optimization and its relation to classical and quantum constrained systems,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 12-25.
- Mauricio Contreras & Rely Pellicer & Marcelo Villena, 2016. "Dynamic optimization and its relation to classical and quantum constrained systems," Papers 1607.01317, arXiv.org.
- G., Mauricio Contreras & Peña, Juan Pablo, 2019. "The quantum dark side of the optimal control theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 450-473.
- Mauricio Contreras G, 2020. "Endogenous Stochastic Arbitrage Bubbles and the Black--Scholes model," Papers 2009.09329, arXiv.org.
- Anantya Bhatnagar & Dimitri D. Vvedensky, 2022. "Quantum effects in an expanded Black–Scholes model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(8), pages 1-12, August.
- Mauricio Contreras & Rely Pellicer & Daniel Santiagos & Marcelo Villena, 2015. "Calibration and simulation of arbitrage effects in a non-equilibrium quantum Black-Scholes model by using semiclassical methods," Papers 1512.05377, arXiv.org.
- Contreras, Mauricio & Hojman, Sergio A., 2014. "Option pricing, stochastic volatility, singular dynamics and constrained path integrals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 391-403.
- 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).
- Reaz Chowdhury & M. R. C. Mahdy & Tanisha Nourin Alam & Golam Dastegir Al Quaderi, 2018. "Predicting the Stock Price of Frontier Markets Using Modified Black-Scholes Option Pricing Model and Machine Learning," Papers 1812.10619, arXiv.org.
- Contreras G., Mauricio, 2021. "Endogenous stochastic arbitrage bubbles and the Black–Scholes model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
- Jena, Rajarama Mohan & Chakraverty, Snehashish & Baleanu, Dumitru, 2020. "A novel analytical technique for the solution of time-fractional Ivancevic option pricing model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
- Rotundo, Giulia, 2014. "Black–Scholes–Schrödinger–Zipf–Mandelbrot model framework for improving a study of the coauthor core score," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 404(C), pages 296-301.
- Mauricio Contreras G. & Roberto Ortiz H, 2021. "Three little arbitrage theorems," Papers 2104.10187, arXiv.org.
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Keywords
Black–Scholes model; Arbitrage; Option pricing; Quantum mechanics; Semi-classical methods;All these keywords.
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