Markov-modulated jump-diffusion models for the short rate: Pricing of zero coupon bonds and convexity adjustment
Author
Abstract
Suggested Citation
DOI: 10.1016/j.amc.2020.125854
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Das, Sanjiv R., 2002. "The surprise element: jumps in interest rates," Journal of Econometrics, Elsevier, vol. 106(1), pages 27-65, January.
- Nikita Ratanov, 2007.
"A jump telegraph model for option pricing,"
Quantitative Finance, Taylor & Francis Journals, vol. 7(5), pages 575-583.
- Nikita Ratanov, 2004. "A Jump Telegraph Model for Option Pricing," Borradores de Investigación 1919, Universidad del Rosario.
- Nikita Ratanov, 2016. "Option Pricing Under Jump-Diffusion Processes with Regime Switching," Methodology and Computing in Applied Probability, Springer, vol. 18(3), pages 829-845, September.
- 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.
- Wu, Shu & Zeng, Yong, 2006.
"The term structure of interest rates under regime shifts and jumps,"
Economics Letters, Elsevier, vol. 93(2), pages 215-221, November.
- Shu Wu & Yong Zeng, 2005. "The Term Structure of Interest Rates under Regime Shifts and Jumps," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200520, University of Kansas, Department of Economics, revised Oct 2005.
- Monika Piazzesi, 2005. "Bond Yields and the Federal Reserve," Journal of Political Economy, University of Chicago Press, vol. 113(2), pages 311-344, April.
- repec:bla:jfinan:v:59:y:2004:i:1:p:227-260 is not listed on IDEAS
- Tomas Björk & Yuri Kabanov & Wolfgang Runggaldier, 1997. "Bond Market Structure in the Presence of Marked Point Processes," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 211-239, April.
- Dothan, L. Uri, 1978. "On the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 6(1), pages 59-69, March.
- Tak Kuen Siu, 2010. "A Markov Regime-Switching Marked Point Process for Short-Rate Analysis with Credit Risk," International Journal of Stochastic Analysis, Hindawi, vol. 2010, pages 1-18, December.
- A. Pelsser, 2003. "Mathematical foundation of convexity correction," Quantitative Finance, Taylor & Francis Journals, vol. 3(1), pages 59-65.
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.- Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742.
- Hinnerich, Mia, 2008. "Inflation-indexed swaps and swaptions," Journal of Banking & Finance, Elsevier, vol. 32(11), pages 2293-2306, November.
- Carl Chiarella & Thuy-Duong Tô, 2006. "The Multifactor Nature of the Volatility of Futures Markets," Computational Economics, Springer;Society for Computational Economics, vol. 27(2), pages 163-183, May.
- Mr. Vadim Khramov, 2013. "Estimating Parameters of Short-Term Real Interest Rate Models," IMF Working Papers 2013/212, International Monetary Fund.
- Robert Jarrow & Haitao Li & Feng Zhao, 2007. "Interest Rate Caps “Smile” Too! But Can the LIBOR Market Models Capture the Smile?," Journal of Finance, American Finance Association, vol. 62(1), pages 345-382, February.
- Takami, Marcelo Yoshio & Tabak, Benjamin Miranda, 2008. "Interest rate option pricing and volatility forecasting: An application to Brazil," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 755-763.
- Carl Chiarella & Thuy-Duong To, 2005. "The Multifactor Nature of the Volatility of the Eurodollar Futures Market," Research Paper Series 150, Quantitative Finance Research Centre, University of Technology, Sydney.
- Beliaeva, Natalia & Nawalkha, Sanjay, 2012. "Pricing American interest rate options under the jump-extended constant-elasticity-of-variance short rate models," Journal of Banking & Finance, Elsevier, vol. 36(1), pages 151-163.
- Sorwar, Ghulam & Barone-Adesi, Giovanni & Allegretto, Walter, 2007. "Valuation of derivatives based on single-factor interest rate models," Global Finance Journal, Elsevier, vol. 18(2), pages 251-269.
- Björn Lutz, 2010. "Pricing of Derivatives on Mean-Reverting Assets," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-642-02909-7, February.
- Richards, Timothy J. & Manfredo, Mark R., 2003. "Infrequent Shocks and Rating Revenue Insurance: A Contingent Claims Approach," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 28(2), pages 1-19, August.
- repec:uts:finphd:40 is not listed on IDEAS
- Hiraki, Takato & Takezawa, Nobuya, 1997. "How sensitive is short-term Japanese interest rate volatility to the level of the interest rate?," Economics Letters, Elsevier, vol. 56(3), pages 325-332, November.
- Kim, Dong H. & Stock, Duane, 2014. "The effect of interest rate volatility and equity volatility on corporate bond yield spreads: A comparison of noncallables and callables," Journal of Corporate Finance, Elsevier, vol. 26(C), pages 20-35.
- Samuel Chege Maina, 2011. "Credit Risk Modelling in Markovian HJM Term Structure Class of Models with Stochastic Volatility," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2011, January-A.
- Lin, Shih-Kuei & Wang, Shin-Yun & Chen, Carl R. & Xu, Lian-Wen, 2017. "Pricing Range Accrual Interest Rate Swap employing LIBOR market models with jump risks," The North American Journal of Economics and Finance, Elsevier, vol. 42(C), pages 359-373.
- Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742, Elsevier.
- Boero, G. & Torricelli, C., 1996. "A comparative evaluation of alternative models of the term structure of interest rates," European Journal of Operational Research, Elsevier, vol. 93(1), pages 205-223, August.
- Ram Bhar & Carl Chiarella, 1996. "Bootstrap Results From the State Space From Representation of the Heath-Jarrow-Morton Model," Working Paper Series 66, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
- Bakshi, Gurdip & Panayotov, George, 2010. "First-passage probability, jump models, and intra-horizon risk," Journal of Financial Economics, Elsevier, vol. 95(1), pages 20-40, January.
- Dungey, Mardi & McKenzie, Michael & Smith, L. Vanessa, 2009.
"Empirical evidence on jumps in the term structure of the US Treasury Market,"
Journal of Empirical Finance, Elsevier, vol. 16(3), pages 430-445, June.
- Mardi Dungey & Michael McKenzie & Vanessa Smith, 2007. "Empirical Evidence On Jumps In The Term Structure Of The Us Treasury Market," CAMA Working Papers 2007-25, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
More about this item
Keywords
Markov-modulated jump-diffusion model; Short rate model; Jump-telegraph process; Unbiased expectation hypothesis; Convexity adjustment; Bond valuation;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:eee:apmaco:v:395:y:2021:i:c:s0096300320308079. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.