Bond pricing in a hidden Markov model of the short rate
AbstractWe consider a diffusion type model for the short rate, where the drift and diffusion parameters are modulated by an underlying Markov process. The underlying Markov process is assumed to have a stochastic differential driven by Wiener processes and a marked point process. The model for the short rate thus falls within the category of hidden Markov models. For this model we look at the bond pricing problem. In order to obtain more concrete results we introduce the notion of a semi-affine term structure and give sufficient conditions for the existence of such a term structure. For a special case, when the underlying process is a Markov chain with only two states, we obtain a closed form expression for bond prices. Furthermore we consider the pricing problem when the modulating process can not be directly observed. It turns out that pricing in this context may be viewed as a filtering problem.
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Bibliographic InfoArticle provided by Springer in its journal Finance and Stochastics.
Volume (Year): 4 (2000)
Issue (Month): 4 ()
Note: received: November 1998; final version received: June 1999
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Web page: http://www.springerlink.com/content/101164/
Find related papers by JEL classification:
- E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
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- Robert J. Elliott & Katsumasa Nishide, 2013. "Pricing of Discount Bonds with a Markov Switching Regime," KIER Working Papers 859, Kyoto University, Institute of Economic Research.
- Eckhard Platen & Wolfgang Runggaldier, 2002.
"A Benchmark Approach to Filtering in Finance,"
Research Paper Series
77, Quantitative Finance Research Centre, University of Technology, Sydney.
- Dai, Qiang & Singleton, Kenneth J., 2003. "Fixed-income pricing," 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 20, pages 1207-1246 Elsevier.
- Ang, Andrew & Bekaert, Geert, 2004.
"The Term Structure of Real Rates and Expected Inflation,"
CEPR Discussion Papers
4518, C.E.P.R. Discussion Papers.
- Andrew Ang & Geert Bekaert, 2004. "The term structure of real rates and expected inflation," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
- Andrew Ang & Geert Bekaert & Min Wei, 2008. "The Term Structure of Real Rates and Expected Inflation," Journal of Finance, American Finance Association, vol. 63(2), pages 797-849, 04.
- Andrew Ang & Geert Bekaert & Min Wei, 2007. "The Term Structure of Real Rates and Expected Inflation," NBER Working Papers 12930, National Bureau of Economic Research, Inc.
- Eckhard Platen & Wolfgang Runggaldier, 2007.
"A Benchmark Approach to Portfolio Optimization under Partial Information,"
Research Paper Series
191, Quantitative Finance Research Centre, University of Technology, Sydney.
- Eckhard Platen & Wolfgang Runggaldier, 2007. "A Benchmark Approach to Portfolio Optimization under Partial Information," Asia-Pacific Financial Markets, Springer, vol. 14(1), pages 25-43, March.
- Gombani, Andrea & Jaschke, Stefan R. & Runggaldier, Wolfgang J., 2005. "A filtered no arbitrage model for term structures from noisy data," Stochastic Processes and their Applications, Elsevier, vol. 115(3), pages 381-400, March.
- John Driffill & Turalay Kenc & Martin Sola & Fabio Spagnolo, 2008.
"On Model Selection and Markov-Switching: An Empirical Examination of Term Structure Models with Regime Shifts,"
Department of Economics Working Papers
2008-04, Universidad Torcuato Di Tella.
- Driffill, John & Kenc, Turalay & Sola, Martin & Spagnolo, Fabio, 2004. "On Model Selection and Markov Switching: A Empirical Examination of Term Structure Models with Regime Shifts," CEPR Discussion Papers 4165, C.E.P.R. Discussion Papers.
- 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.
- 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.
- Hainaut, Donatien, 2013. "A fractal version of the Hull–White interest rate model," Economic Modelling, Elsevier, vol. 31(C), pages 323-334.
- Hoi Wong & Tsz Wong, 2007. "Reduced-form Models with Regime Switching: An Empirical Analysis for Corporate Bonds," Asia-Pacific Financial Markets, Springer, vol. 14(3), pages 229-253, September.
- Hidenori Futami, 2009. "Multi-factor Affine Term Structure Model with Single Regime Shift: Real Term Structure under Zero Interest Rate," Asia-Pacific Financial Markets, Springer, vol. 16(4), pages 347-369, December.
- Qiang Dai & Kenneth J. Singleton & Wei Yang, 2004. "Regime shifts in a dynamic term structure model of U.S. Treasury bond yields," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
- Mikael Elhouar, 2008. "Finite-dimensional Realizations of Regime-switching HJM Models," Applied Mathematical Finance, Taylor & Francis Journals, vol. 15(4), pages 331-354.
- Fabio Antonelli & Alessandro Ramponi & Sergio Scarlatti, 2013. "Option-based risk management of a bond portfolio under regime switching interest rates," Decisions in Economics and Finance, Springer, vol. 36(1), pages 47-70, May.
- Hunt, Julien & Devolder, Pierre, 2011. "Semi-Markov regime switching interest rate models and minimal entropy measure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3767-3781.
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