A weighted finite difference method for subdiffusive Black Scholes Model
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- repec:bla:jfinan:v:58:y:2003:i:2:p:753-778 is not listed on IDEAS
- Tomas Björk & Henrik Hult, 2005.
"A note on Wick products and the fractional Black-Scholes model,"
Finance and Stochastics, Springer, vol. 9(2), pages 197-209, April.
- Björk, Tomas & Hult, Henrik, 2005. "A Note on Wick Products and the Fractional Black-Scholes Model," SSE/EFI Working Paper Series in Economics and Finance 596, Stockholm School of Economics.
- Sebastian Orzel & Aleksander Weron, 2009. "Calibration of the subdiffusive Black–Scholes model," HSC Research Reports HSC/09/02, Hugo Steinhaus Center, Wroclaw University of Science and Technology.
- Wang, Xiao-Tian, 2010. "Scaling and long-range dependence in option pricing I: Pricing European option with transaction costs under the fractional Black–Scholes model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 438-444.
- Merton, Robert C, 1974.
"On the Pricing of Corporate Debt: The Risk Structure of Interest Rates,"
Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
- Merton, Robert C., 1973. "On the pricing of corporate debt: the risk structure of interest rates," Working papers 684-73., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Peter Carr & Liuren Wu, 2003.
"The Finite Moment Log Stable Process and Option Pricing,"
Journal of Finance, American Finance Association, vol. 58(2), pages 753-777, April.
- Peter Carr & Liuren Wu, 2002. "The Finite Moment Log Stable Process and Option Pricing," Finance 0207012, University Library of Munich, Germany.
- Merton, Robert C., 1976.
"Option pricing when underlying stock returns are discontinuous,"
Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
- Merton, Robert C., 1975. "Option pricing when underlying stock returns are discontinuous," Working papers 787-75., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- 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.
- Wang, Jun & Liang, Jin-Rong & Lv, Long-Jin & Qiu, Wei-Yuan & Ren, Fu-Yao, 2012. "Continuous time Black–Scholes equation with transaction costs in subdiffusive fractional Brownian motion regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 750-759.
- 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.
- Walter Schachermayer & Josef Teichmann, 2008. "How Close Are The Option Pricing Formulas Of Bachelier And Black–Merton–Scholes?," Mathematical Finance, Wiley Blackwell, vol. 18(1), pages 155-170, January.
- 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.
- Marcin Magdziarz & Janusz Gajda, 2012. "Anomalous dynamics of Black–Scholes model time-changed by inverse subordinators," HSC Research Reports HSC/12/04, Hugo Steinhaus Center, Wroclaw University of Science and Technology.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Grzegorz Krzy.zanowski & Andr'es Sosa, 2020. "Performance analysis of Zero Black-Derman-Toy interest rate model in catastrophic events: COVID-19 case study," Papers 2007.00705, arXiv.org, revised Jul 2020.
- Viktor Stojkoski & Trifce Sandev & Lasko Basnarkov & Ljupco Kocarev & Ralf Metzler, 2020. "Generalised geometric Brownian motion: Theory and applications to option pricing," Papers 2011.00312, arXiv.org.
- Grzegorz Krzy.zanowski & Marcin Magdziarz, 2020. "A computational weighted finite difference method for American and barrier options in subdiffusive Black-Scholes model," Papers 2003.05358, arXiv.org, revised Dec 2020.
- Ma, Pengcheng & Najafi, Alireza & Gomez-Aguilar, J.F., 2024. "Sub mixed fractional Brownian motion and its application to finance," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
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.- Sanjay K. Nawalkha & Xiaoyang Zhuo, 2022. "A Theory of Equivalent Expectation Measures for Contingent Claim Returns," Journal of Finance, American Finance Association, vol. 77(5), pages 2853-2906, October.
- M. Rezaei & A. R. Yazdanian & A. Ashrafi & S. M. Mahmoudi, 2022. "Numerically Pricing Nonlinear Time-Fractional Black–Scholes Equation with Time-Dependent Parameters Under Transaction Costs," Computational Economics, Springer;Society for Computational Economics, vol. 60(1), pages 243-280, June.
- Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742.
- 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.
- Lv, Longjin & Xiao, Jianbin & Fan, Liangzhong & Ren, Fuyao, 2016. "Correlated continuous time random walk and option pricing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 100-107.
- Gonçalo Faria & João Correia-da-Silva, 2014.
"A closed-form solution for options with ambiguity about stochastic volatility,"
Review of Derivatives Research, Springer, vol. 17(2), pages 125-159, July.
- Gonçalo Faria & João Correia-da-Silva, 2011. "A Closed-Form Solution for Options with Ambiguity about Stochastic Volatility," FEP Working Papers 414, Universidade do Porto, Faculdade de Economia do Porto.
- Hu, May & Park, Jason, 2019. "Valuation of collateralized debt obligations: An equilibrium model," Economic Modelling, Elsevier, vol. 82(C), pages 119-135.
- Chan, Tat Lung (Ron), 2019. "Efficient computation of european option prices and their sensitivities with the complex fourier series method," The North American Journal of Economics and Finance, Elsevier, vol. 50(C).
- Jinghai Shao & Sovan Mitra & Andreas Karathanasopoulos, 2022. "Optimal feedback control of stock prices under credit risk dynamics," Annals of Operations Research, Springer, vol. 313(2), pages 1285-1318, June.
- Mark Broadie & Jerome B. Detemple, 2004. "ANNIVERSARY ARTICLE: Option Pricing: Valuation Models and Applications," Management Science, INFORMS, vol. 50(9), pages 1145-1177, September.
- Y. Esmaeelzade Aghdam & H. Mesgarani & A. Adl & B. Farnam, 2023. "The Convergence Investigation of a Numerical Scheme for the Tempered Fractional Black-Scholes Model Arising European Double Barrier Option," Computational Economics, Springer;Society for Computational Economics, vol. 61(2), pages 513-528, February.
- 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.
- Carvalho, Augusto & Guimaraes, Bernardo, 2018.
"State-controlled companies and political risk: Evidence from the 2014 Brazilian election,"
Journal of Public Economics, Elsevier, vol. 159(C), pages 66-78.
- Carvalho, Augusto & Guimarães, Bernardo de Vasconcellos, 2016. "State-controlled companies and political risk: evidence from the 2014 Brazilian election," Textos para discussão 435, FGV EESP - Escola de Economia de São Paulo, Fundação Getulio Vargas (Brazil).
- Augusto Carvalho & Bernardo Guimaraes, 2016. "State-controlled companies and political risk: Evidence from the 2014 Brazilian election," Discussion Papers 1702, Centre for Macroeconomics (CFM).
- Carvalho, Augusto & Guimaraes, Bernardo, 2017. "State-controlled companies and political risk: evidence from the 2014 Brazilian election," LSE Research Online Documents on Economics 86172, London School of Economics and Political Science, LSE Library.
- Viktor Stojkoski & Trifce Sandev & Lasko Basnarkov & Ljupco Kocarev & Ralf Metzler, 2020. "Generalised geometric Brownian motion: Theory and applications to option pricing," Papers 2011.00312, arXiv.org.
- Zura Kakushadze, 2016. "Volatility Smile as Relativistic Effect," Papers 1610.02456, arXiv.org, revised Feb 2017.
- Henri Bertholon & Alain Monfort & Fulvio Pegoraro, 2006.
"Pricing and Inference with Mixtures of Conditionally Normal Processes,"
Working Papers
2006-28, Center for Research in Economics and Statistics.
- Bertholon, H. & Monfort, A. & Pegoraro, F., 2007. "Pricing and Inference with Mixtures of Conditionally Normal Processes," Working papers 188, Banque de France.
- Geman, Helyette, 2002. "Pure jump Levy processes for asset price modelling," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1297-1316, July.
- Boris Ter-Avanesov & Homayoon Beigi, 2024. "MLP, XGBoost, KAN, TDNN, and LSTM-GRU Hybrid RNN with Attention for SPX and NDX European Call Option Pricing," Papers 2409.06724, arXiv.org, revised Oct 2024.
- Wang, Xiao-Tian & Wu, Min & Zhou, Ze-Min & Jing, Wei-Shu, 2012. "Pricing European option with transaction costs under the fractional long memory stochastic volatility model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1469-1480.
- 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.
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:1907.00297. 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.