Symmetries in Jump-Diffusion Models with Applications in Option Pricing and Credit Risk
Author
Abstract
Suggested Citation
Note: Type of Document - PDF; prepared on Linux; to print on Postscript; pages: 34 ; figures: none
Download full text from publisher
References listed on IDEAS
- Dilip B. Madan & Peter P. Carr & Eric C. Chang, 1998. "The Variance Gamma Process and Option Pricing," Review of Finance, European Finance Association, vol. 2(1), pages 79-105.
- Robert Jarrow & Dilip Madan, 1995. "Option Pricing Using The Term Structure Of Interest Rates To Hedge Systematic Discontinuities In Asset Returns1," Mathematical Finance, Wiley Blackwell, vol. 5(4), pages 311-336, October.
- Robert A. Jarrow & Stuart M. Turnbull, 2008.
"Pricing Derivatives on Financial Securities Subject to Credit Risk,"
World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409,
World Scientific Publishing Co. Pte. Ltd..
- Jarrow, Robert A & Turnbull, Stuart M, 1995. "Pricing Derivatives on Financial Securities Subject to Credit Risk," Journal of Finance, American Finance Association, vol. 50(1), pages 53-85, March.
- Jiri Hoogland & Dimitri Neumann, 2001. "Tradable Schemes," Finance 0105003, 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.
- Andrew Matacz, 2000. "Financial Modeling And Option Theory With The Truncated Levy Process," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 3(01), pages 143-160.
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.- Lasko Basnarkov & Viktor Stojkoski & Zoran Utkovski & Ljupco Kocarev, 2019.
"Option Pricing With Heavy-Tailed Distributions Of Logarithmic Returns,"
International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(07), pages 1-35, November.
- Lasko Basnarkov & Viktor Stojkoski & Zoran Utkovski & Ljupco Kocarev, 2018. "Option Pricing with Heavy-Tailed Distributions of Logarithmic Returns," Papers 1807.01756, arXiv.org, revised Apr 2019.
- Jovanovic, Franck & Schinckus, Christophe, 2017. "Econophysics and Financial Economics: An Emerging Dialogue," OUP Catalogue, Oxford University Press, number 9780190205034.
- Jarrow, Robert A. & Turnbull, Stuart M., 2000. "The intersection of market and credit risk," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 271-299, January.
- Duffy, Ken & Lobunets, Olena & Suhov, Yuri, 2007. "Loss aversion, large deviation preferences and optimal portfolio weights for some classes of return processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 408-422.
- Jos'e E. Figueroa-L'opez & Ruoting Gong & Christian Houdr'e, 2012. "High-order short-time expansions for ATM option prices of exponential L\'evy models," Papers 1208.5520, arXiv.org, revised Apr 2014.
- Liu, Sheen & Shi, Jian & Wang, Junbo & Wu, Chunchi, 2009. "The determinants of corporate bond yields," The Quarterly Review of Economics and Finance, Elsevier, vol. 49(1), pages 85-109, February.
- Philipp N. Baecker, 2007. "Real Options and Intellectual Property," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-48264-2, July.
- Jos'e E. Figueroa-L'opez & Ruoting Gong & Christian Houdr'e, 2011. "High-order short-time expansions for ATM option prices under the CGMY model," Papers 1112.3111, arXiv.org, revised Aug 2012.
- 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.
- Yeap, Claudia & Kwok, Simon S. & Choy, S. T. Boris, 2016. "A Flexible Generalised Hyperbolic Option Pricing Model and its Special Cases," Working Papers 2016-14, University of Sydney, School of Economics.
- Karl Friedrich Mina & Gerald H. L. Cheang & Carl Chiarella, 2015.
"Approximate Hedging Of Options Under Jump-Diffusion Processes,"
International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1-26.
- Karl Mina & Gerald Cheang & Carl Chiarella, 2013. "Approximate Hedging of Options under Jump-Diffusion Processes," Research Paper Series 340, Quantitative Finance Research Centre, University of Technology, Sydney.
- Jose Cruz & Daniel Sevcovic, 2020. "On solutions of a partial integro-differential equation in Bessel potential spaces with applications in option pricing models," Papers 2003.03851, arXiv.org.
- Yongxin Yang & Yu Zheng & Timothy M. Hospedales, 2016. "Gated Neural Networks for Option Pricing: Rationality by Design," Papers 1609.07472, arXiv.org, revised Mar 2020.
- Das, Sanjiv Ranjan, 1998. "A direct discrete-time approach to Poisson-Gaussian bond option pricing in the Heath-Jarrow-Morton model," Journal of Economic Dynamics and Control, Elsevier, vol. 23(3), pages 333-369, November.
- Nan Chen & S. G. Kou, 2009. "Credit Spreads, Optimal Capital Structure, And Implied Volatility With Endogenous Default And Jump Risk," Mathematical Finance, Wiley Blackwell, vol. 19(3), pages 343-378, July.
- Lam, K. & Chang, E. & Lee, M. C., 2002. "An empirical test of the variance gamma option pricing model," Pacific-Basin Finance Journal, Elsevier, vol. 10(3), pages 267-285, June.
- Paul Glasserman & S. G. Kou, 2003. "The Term Structure of Simple Forward Rates with Jump Risk," Mathematical Finance, Wiley Blackwell, vol. 13(3), pages 383-410, July.
- Zura Kakushadze, 2016. "Volatility Smile as Relativistic Effect," Papers 1610.02456, arXiv.org, revised Feb 2017.
- Yacine Aït‐Sahalia, 2002.
"Telling from Discrete Data Whether the Underlying Continuous‐Time Model Is a Diffusion,"
Journal of Finance, American Finance Association, vol. 57(5), pages 2075-2112, October.
- Yacine Ait-Sahalia, 2001. "Telling from Discrete Data Whether the Underlying Continuous-Time Model is a Diffusion," NBER Working Papers 8504, National Bureau of Economic Research, Inc.
- 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.
More about this item
Keywords
option pricing; jump diffusion; local scale invariance; homogeneity; partial differential difference equations;All these keywords.
JEL classification:
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
NEP fields
This paper has been announced in the following NEP Reports:- NEP-FIN-2002-06-13 (Finance)
- NEP-FMK-2002-06-13 (Financial Markets)
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:wpa:wuwpfi:0203001. 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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.