On the Class of Risk Neutral Densities under Heston’s Stochastic Volatility Model for Option Valuation
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- Stein, Elias M & Stein, Jeremy C, 1991. "Stock Price Distributions with Stochastic Volatility: An Analytic Approach," The Review of Financial Studies, Society for Financial Studies, vol. 4(4), pages 727-752.
- 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.
- Ai[diaeresis]t-Sahalia, Yacine & Kimmel, Robert, 2007. "Maximum likelihood estimation of stochastic volatility models," Journal of Financial Economics, Elsevier, vol. 83(2), pages 413-452, February.
- 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.
- Wiggins, James B., 1987. "Option values under stochastic volatility: Theory and empirical estimates," Journal of Financial Economics, Elsevier, vol. 19(2), pages 351-372, December.
- 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.
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.- Ghysels, E. & Harvey, A. & Renault, E., 1995.
"Stochastic Volatility,"
Papers
95.400, Toulouse - GREMAQ.
- 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).
- Ghysels, E. & Harvey, A. & Renault, E., 1996. "Stochastic Volatility," Cahiers de recherche 9613, Universite de Montreal, Departement de sciences economiques.
- Eric Ghysels & Andrew Harvey & Eric Renault, 1995. "Stochastic Volatility," CIRANO Working Papers 95s-49, CIRANO.
- Bakshi, Gurdip S. & Zhiwu, Chen, 1997.
"An alternative valuation model for contingent claims,"
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.
- Charles J. Corrado & Tie Su, 1996. "Skewness And Kurtosis In S&P 500 Index Returns Implied By Option Prices," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 19(2), pages 175-192, June.
- Robert Azencott & Yutheeka Gadhyan & Roland Glowinski, 2014. "Option Pricing Accuracy for Estimated Heston Models," Papers 1404.4014, arXiv.org, revised Jul 2015.
- Ben Boukai, 2021. "On the RND under Heston's stochastic volatility model," Papers 2101.03626, arXiv.org.
- Cheng Few Lee & Yibing Chen & John Lee, 2020.
"Alternative Methods to Derive Option Pricing Models: Review and Comparison,"
World Scientific Book Chapters, in: Cheng Few Lee & John C Lee (ed.), HANDBOOK OF FINANCIAL ECONOMETRICS, MATHEMATICS, STATISTICS, AND MACHINE LEARNING, chapter 102, pages 3573-3617,
World Scientific Publishing Co. Pte. Ltd..
- Cheng-Few Lee & Yibing Chen & John Lee, 2016. "Alternative methods to derive option pricing models: review and comparison," Review of Quantitative Finance and Accounting, Springer, vol. 47(2), pages 417-451, August.
- Kanniainen, Juho & Piché, Robert, 2013. "Stock price dynamics and option valuations under volatility feedback effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 722-740.
- Ben Boukai, 2021. "The Generalized Gamma distribution as a useful RND under Heston's stochastic volatility model," Papers 2108.07937, arXiv.org, revised Aug 2021.
- Stentoft, Lars, 2011.
"American option pricing with discrete and continuous time models: An empirical comparison,"
Journal of Empirical Finance, Elsevier, vol. 18(5), pages 880-902.
- Lars Stentoft, 2011. "American Option Pricing with Discrete and Continuous Time Models: An Empirical Comparison," CREATES Research Papers 2011-34, Department of Economics and Business Economics, Aarhus University.
- Rombouts, Jeroen V.K. & Stentoft, Lars, 2015.
"Option pricing with asymmetric heteroskedastic normal mixture models,"
International Journal of Forecasting, Elsevier, vol. 31(3), pages 635-650.
- Jeroen Rombouts & Lars Stentoft, 2010. "Option Pricing with Asymmetric Heteroskedastic Normal Mixture Models," CIRANO Working Papers 2010s-38, CIRANO.
- ROMBOUTS, Jeroen V. K. & STENTOFT, Lars, 2010. "Option pricing with asymmetric heteroskedastic normal mixture models," LIDAM Discussion Papers CORE 2010049, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Jeroen V.K. Rombouts & Lars Stentoft, 2010. "Option Pricing with Asymmetric Heteroskedastic Normal Mixture Models," CREATES Research Papers 2010-44, Department of Economics and Business Economics, Aarhus University.
- Liu, Chang & Chang, Chuo, 2021. "Combination of transition probability distribution and stable Lorentz distribution in stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
- 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.
- Damien Ackerer & Damir Filipović, 2020. "Option pricing with orthogonal polynomial expansions," Mathematical Finance, Wiley Blackwell, vol. 30(1), pages 47-84, January.
- Chen, An-Sing & Leung, Mark T., 2005. "Modeling time series information into option prices: An empirical evaluation of statistical projection and GARCH option pricing model," Journal of Banking & Finance, Elsevier, vol. 29(12), pages 2947-2969, December.
- Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 2000.
"Pricing and hedging long-term options,"
Journal of Econometrics, Elsevier, vol. 94(1-2), pages 277-318.
- Charles Quanwei Cao & Gurdip S. Bakshi & Zhiwu Chen, 1998. "Pricing and Hedging Long-Term Options," Yale School of Management Working Papers ysm90, Yale School of Management.
- Hu, May & Park, Jason, 2019. "Valuation of collateralized debt obligations: An equilibrium model," Economic Modelling, Elsevier, vol. 82(C), pages 119-135.
- Chang, Carolyn W. & S.K. Chang, Jack & Lim, Kian-Guan, 1998. "Information-time option pricing: theory and empirical evidence," Journal of Financial Economics, Elsevier, vol. 48(2), pages 211-242, May.
- Alexander Lipton & Artur Sepp, 2022. "Toward an efficient hybrid method for pricing barrier options on assets with stochastic volatility," Papers 2202.07849, arXiv.org.
- Huang, Yu Chuan & Chen, Shing Chun, 2002. "Warrants pricing: Stochastic volatility vs. Black-Scholes," Pacific-Basin Finance Journal, Elsevier, vol. 10(4), pages 393-409, September.
- Mondher Bellalah, 2009. "Derivatives, Risk Management & Value," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7175, August.
More about this item
Keywords
Heston’s model; option pricing; risk neutral valuation; calibration; negatively skewed distribution;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:gam:jmathe:v:11:y:2023:i:9:p:2124-:d:1137256. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.