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On Filtering in Markovian Term Structure Models (An Approximation Approach) Author info | Abstract | Publisher info | Download info | Related research | Statistics Carl Chiarella () (School of Finance and Economics, University of Technology, Sydney )
Sara Pasquali
Wolfgang Runggaldier
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We study a nonlinear filtering problem to estimate, on the basis of noisy observations of forward rates, the market price of interest rate risk as well as the parameters in a particular term structure model within the Heath-Jarrow-Morton family. An approximation approach is described for the actual computation of the filter.
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Paper provided by Quantitative Finance Research Centre, University of Technology, Sydney in its series Research Paper Series with number
65.
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Date of creation: 01 Dec 2001Date of revision:
Handle: RePEc:uts:rpaper:65Contact details of provider: Postal: PO Box 123, Broadway, NSW 2007, Australia Phone: +61 2 9514 7777 Fax: +61 2 9514 7711 Web page: http://www.business.uts.edu.au/qfrc/index.html More information through EDIRC
For technical questions regarding this item, or to correct its listing, contact: (Duncan Ford).
Keywords: filter approximations ; Heath-Jarrow-Morton model ; market price interest rate risk ; markovian representations ; measure transformation ; nonlinear filtering ; term structure of interest rates ; Other versions of this item:
References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.: Heath, David & Jarrow, Robert & Morton, Andrew, 1992.
"Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation ,"
Econometrica ,
Econometric Society, vol. 60(1), pages 77-105, January.
[Downloadable!] (restricted)
Ram Bhar & Carl Chiarella & Nadima El-Hassan & Xiaosu Zheng, 2000.
"The Reduction of Forward Rate Dependent Volatility HJM Models to Markovian Form: Pricing European Bond Option ,"
Research Paper Series
36, Quantitative Finance Research Centre, University of Technology, Sydney.
[Downloadable!]
Carl Chiarella & Oh-Kang Kwon, 1999.
"Classes of Interest Rate Models Under the HJM Framework ,"
Research Paper Series
13, Quantitative Finance Research Centre, University of Technology, Sydney.
[Downloadable!]
Ram Bhar & Carl Chiarella & Wolfgang Runggaldier, 2001.
"Estimation in Models of the Instantaneous Short Term Interest Rate By Use of a Dynamic Bayesian Algorithm ,"
Research Paper Series
68, Quantitative Finance Research Centre, University of Technology, Sydney.
[Downloadable!]
Carl Chiarella & Oh Kang Kwon, 2001.
"Forward rate dependent Markovian transformations of the Heath-Jarrow-Morton term structure model ,"
Finance and Stochastics ,
Springer, vol. 5(2), pages 237-257.
[Downloadable!] (restricted)
Other versions: Björk, Tomas, 2000.
"A Geometric View of Interest Rate Theory ,"
Working Paper Series in Economics and Finance
419, Stockholm School of Economics, revised 21 Dec 2000.
[Downloadable!]
Björk, Tomas & Svensson, Lars, 1999.
"On the Existence of Finite Dimensional Realizations for Nonlinear Forward Rate Models ,"
Working Paper Series in Economics and Finance
338, Stockholm School of Economics.
[Downloadable!]
Chapman, David A & Long, John B, Jr & Pearson, Neil D, 1999.
"Using Proxies for the Short Rate: When Are Three Months Like an Instant? ,"
Review of Financial Studies ,
Oxford University Press for Society for Financial Studies, vol. 12(4), pages 763-806.
Other versions: Ho, Thomas S Y & Lee, Sang-bin, 1986.
" Term Structure Movements and Pricing Interest Rate Contingent Claims ,"
Journal of Finance ,
American Finance Association, vol. 41(5), pages 1011-29, December.
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Full
references Cited by : (explanations , Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.)
Eckhard Platen & Wolfgang Runggaldier, 2002.
"A Benchmark Approach to Filtering in Finance ,"
Research Paper Series
77, Quantitative Finance Research Centre, University of Technology, Sydney.
[Downloadable!]
Other versions: Ram Bhar & Carl Chiarella & Wolfgang Runggaldier, 2001.
"Estimation in Models of the Instantaneous Short Term Interest Rate By Use of a Dynamic Bayesian Algorithm ,"
Research Paper Series
68, Quantitative Finance Research Centre, University of Technology, Sydney.
[Downloadable!]
Ram Bhar & Carl Chiarella & Hing Hung & Wolfgang Runggaldier, 2004.
"The Volatility of the Instantaneous Spot Interest Rate Implied by Arbitrage Pricing - A Dynamic Bayesian Approach ,"
Finance
0409002, EconWPA.
[Downloadable!]
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This page was last updated on 2009-12-2.
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