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Markov-Switching and Stochastic Volatility Diffusion Models of Short-Term Interest Rates

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  • Smith, Daniel R

Abstract

This article empirically compares the Markov-switching and stochastic volatility diffusion models of the short rate. The evidence supports the Markov-switching diffusion model. Estimates of the elasticity of volatility parameter for single-regime models unanimously indicate an explosive volatility process, whereas the Markov-switching models estimates are reasonable. It is found that either Markov switching or stochastic volatility, but not both, is needed to adequately fit the data. A robust conclusion is that volatility depends on the level of the short rate. Finally, the Markov-switching model is the best for forecasting. A technical contribution of this article is a presentation of quasi-maximum likelihood estimation techniques for the Markov-switching stochastic-volatility model.

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Bibliographic Info

Article provided by American Statistical Association in its journal Journal of Business and Economic Statistics.

Volume (Year): 20 (2002)
Issue (Month): 2 (April)
Pages: 183-97

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Handle: RePEc:bes:jnlbes:v:20:y:2002:i:2:p:183-97

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Cited by:
  1. Beyaert, Arielle & Garcia-Solanes, Jose & Perez-Castejon, Juan J., 2007. "Uncovered interest parity with switching regimes," Economic Modelling, Elsevier, vol. 24(2), pages 189-202, March.
  2. Łukasz Kwiatkowski, 2010. "Markov Switching In-Mean Effect. Bayesian Analysis in Stochastic Volatility Framework," Central European Journal of Economic Modelling and Econometrics, CEJEME, vol. 2(1), pages 59-94, January.
  3. Daniel R. Smith & Christophe Parignon, 2004. "Modeling Yield-Factor Volatility," Econometric Society 2004 Australasian Meetings 307, Econometric Society.
  4. Vo, Minh T., 2009. "Regime-switching stochastic volatility: Evidence from the crude oil market," Energy Economics, Elsevier, vol. 31(5), pages 779-788, September.
  5. Soosung Hwang & Steve E. Satchell & Pedro L. Valls Pereira, 2004. "How Persistent is Volatility? An Answer with Stochastic Volatility Models with Markov Regime Switching State Equations," Econometric Society 2004 Latin American Meetings 198, Econometric Society.
  6. Ramaprasad Bhar, 2010. "Stochastic Filtering With Applications In Finance:," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7736.
  7. Anastasios G. Malliaris & Ramaprasad Bhar, 2011. "Dividends, Momentum, and Macroeconomic Variables as Determinants of the US Equity Premium Across Economic Regimes," Review of Behavioral Finance, Emerald Group Publishing, vol. 3(1), pages 27-53, September.
  8. Christiansen, Charlotte, 2005. "Level-ARCH Short Rate Models with Regime Switching: Bivariate Modeling of US and European Short Rates," Finance Research Group Working Papers F-2005-03, University of Aarhus, Aarhus School of Business, Department of Business Studies.
  9. 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.
  10. Chew Lian Chua & Sandy Suardi & Sarantis Tsiaplias, 2011. "Predicting Short-Term Interest Rates: Does Bayesian Model Averaging Provide Forecast Improvement?," Melbourne Institute Working Paper Series wp2011n01, Melbourne Institute of Applied Economic and Social Research, The University of Melbourne.
  11. Dahl, Christian M. & Iglesias, Emma M., 2009. "Volatility spill-overs in commodity spot prices: New empirical results," Economic Modelling, Elsevier, vol. 26(3), pages 601-607, May.
  12. Perignon, Christophe & Smith, Daniel R., 2007. "Yield-factor volatility models," Journal of Banking & Finance, Elsevier, vol. 31(10), pages 3125-3144, October.
  13. Kalimipalli, Madhu & Susmel, Raul, 2004. "Regime-switching stochastic volatility and short-term interest rates," Journal of Empirical Finance, Elsevier, vol. 11(3), pages 309-329, June.
  14. Sun, Licheng, 2005. "Regime shifts in interest rate volatility," Journal of Empirical Finance, Elsevier, vol. 12(3), pages 418-434, June.
  15. Hainaut, Donatien, 2013. "A fractal version of the Hull–White interest rate model," Economic Modelling, Elsevier, vol. 31(C), pages 323-334.

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