Minimal realizations of interest rate models
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Note: received: July 1997; final version received: December 1998
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Cited by:
- Haitao Li & Xiaoxia Ye, 2013. "A Type of HJM Based Affine Model: Theory and Empirical Evidence," Working Papers 2013-10-14, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
- Björk, Tomas, 2003. "On the Geometry of Interest Rate Models," SSE/EFI Working Paper Series in Economics and Finance 545, Stockholm School of Economics.
- Eckhard Platen & Stefan Tappe, 2011. "Affine Realizations for Levy Driven Interest Rate Models with Real-World Forward Rate Dynamics," Research Paper Series 289, Quantitative Finance Research Centre, University of Technology, Sydney.
- Li, Haitao & Ye, Xiaoxia & Yu, Fan, 2020. "Unifying Gaussian dynamic term structure models from a Heath–Jarrow–Morton perspective," European Journal of Operational Research, Elsevier, vol. 286(3), pages 1153-1167.
- Björk, Tomas, 2000. "A Geometric View of Interest Rate Theory," SSE/EFI Working Paper Series in Economics and Finance 419, Stockholm School of Economics, revised 21 Dec 2000.
- Likuan Qin & Vadim Linetsky, 2018. "Long-term factorization in Heath–Jarrow–Morton models," Finance and Stochastics, Springer, vol. 22(3), pages 621-641, July.
- Raquel M. Gaspar & Mariana Khapko, 2023. "In memoriam: Tomas Björk (1947–2021)," Finance and Stochastics, Springer, vol. 27(4), pages 867-885, October.
- Stefan Tappe, 2019. "An alternative approach on the existence of affine realizations for HJM term structure models," Papers 1907.03256, arXiv.org.
- Camilla Landén & Tomas Björk, 2002.
"On the construction of finite dimensional realizations for nonlinear forward rate models,"
Finance and Stochastics, Springer, vol. 6(3), pages 303-331.
- Björk, Tomas & Landen, Camilla, 2000. "On the construction of finite dimensional realizations for nonlinear forward rate models," SSE/EFI Working Paper Series in Economics and Finance 420, Stockholm School of Economics.
- 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.
- Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742.
- Fred Espen Benth & Paul Kruhner, 2014. "Representation of infinite dimensional forward price models in commodity markets," Papers 1403.4111, arXiv.org.
- Björk, Tomas & Landén, Camilla & Svensson, Lars, 2002. "Finite dimensional Markovian realizations for stochastic volatility forward rate models," SSE/EFI Working Paper Series in Economics and Finance 498, Stockholm School of Economics, revised 07 May 2002.
- Stefan Tappe, 2019. "Existence of affine realizations for L\'evy term structure models," Papers 1907.02363, arXiv.org.
- Leitner, Johannes, 2000. "Convergence of Arbitrage-free Discrete Time Markovian Market Models," CoFE Discussion Papers 00/07, University of Konstanz, Center of Finance and Econometrics (CoFE).
- Fred Benth & Jukka Lempa, 2014.
"Optimal portfolios in commodity futures markets,"
Finance and Stochastics, Springer, vol. 18(2), pages 407-430, April.
- Fred Espen Benth & Jukka Lempa, 2012. "Optimal portfolios in commodity futures markets," Papers 1204.2667, arXiv.org.
- 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.
- Carl Chiarella & Oh-Kang Kwon, 1999. "Forward Rate Dependent Markovian Transformations of the Heath-Jarrow-Morton Term Structure Model," Research Paper Series 5, Quantitative Finance Research Centre, University of Technology, Sydney.
- C. D. D. Neumann, 2007. "On the structure of Gaussian pricing models and Gaussian Markov functional models," Quantitative Finance, Taylor & Francis Journals, vol. 7(5), pages 487-496.
- Andrea Gombani & Wolfgang J. Runggaldier, 2001. "A Filtering Approach To Pricing In Multifactor Term Structure Models," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 4(02), pages 303-320.
- Claudio Fontana & Giacomo Lanaro & Agatha Murgoci, 2024. "The geometry of multi-curve interest rate models," Papers 2401.11619, arXiv.org, revised Jun 2024.
- 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.
- Carl Chiarella & Oh-Kang Kwon, 2001. "State Variables and the Affine Nature of Markovian HJM Term Structure Models," Research Paper Series 52, Quantitative Finance Research Centre, University of Technology, Sydney.
More about this item
Keywords
Interest rates; realization theory; factor models;All these keywords.
JEL classification:
- E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
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