Extracting Information from Spot Interest Rates and Credit Ratings using Double Higher-Order Hidden Markov Models
Estimating and forecasting the unobservable states of an economy are important and practically relevant topics in economics. Central bankers and regulators can use information about the market expectations on the hidden states of the economy as a reference for decision and policy makings, for instance, deciding monetary policies. Spot interest rates and credit ratings of bonds contain important information about the hidden sequence of the states of the economy. In this paper, we develop double higher-order hidden Markov chain models (DHHMMs) for extracting information about the hidden sequence of the states of an economy from the spot interest rates and credit ratings of bonds. We consider a discrete-state model described by DHHMMs and focus on the qualitative aspect of the unobservable states of the economy. The observable spot interest rates and credit ratings of bonds depend on the hidden states of the economy which are modelled by DHHMMs. The DHHMMs can incorporate the persistent phenomena of the time series of spot interest rates and the credit ratings. We employ the maximum likelihood method and the EM algorithm, namely Viterbi's algorithm, to uncover the optimal hidden sequence of the states of the economy which can be interpreted the “best” estimate of the sequence of the underlying economic states generating the spot interest rates and credit ratings of the bonds. Then, we develop an efficient maximum likelihood estimation method to estimate the unknown parameters in our model. Numerical experiment will be conducted to illustrate the implementation of the model. Copyright Springer Science+Business Media, Inc. 2005
Volume (Year): 26 (2005)
Issue (Month): 3 (November)
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- Gerlach, Stefan, 2002.
"Interpreting the Term Structure of Interbank Rates in Hong Kong,"
CEPR Discussion Papers
3187, C.E.P.R. Discussion Papers.
- Gerlach, Stefan, 2003. "Interpreting the term structure of interbank rates in Hong Kong," Pacific-Basin Finance Journal, Elsevier, vol. 11(5), pages 593-609, November.
- Stefan Gerlach, 2001. "Interpreting the Term Structure of Interbank Rates in Hong Kong," Working Papers 142001, Hong Kong Institute for Monetary Research.
- Thomas J. Sargent, 1971.
"Interest rates and prices in the long run: a study of the Gibson paradox,"
75, Federal Reserve Bank of Minneapolis.
- Sargent, Thomas J, 1973. "Interest Rates and Prices in the Long Run: A Study of the Gibson Paradox," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 5(1), pages 385-449, Part II F.
- Stefan Gerlach & Matthew S. Yiu, 2004. "A Dynamic Factor Model for Current-Quarter Estimates of Economic Activity in Hong Kong," Working Papers 162004, Hong Kong Institute for Monetary Research.
- Bangia, Anil & Diebold, Francis X. & Kronimus, Andre & Schagen, Christian & Schuermann, Til, 2002.
"Ratings migration and the business cycle, with application to credit portfolio stress testing,"
Journal of Banking & Finance,
Elsevier, vol. 26(2-3), pages 445-474, March.
- Anil Bangia & Francis X. Diebold & Til Schuermann, 2000. "Ratings Migration and the Business Cycle, With Application to Credit Portfolio Stress Testing," Center for Financial Institutions Working Papers 00-26, Wharton School Center for Financial Institutions, University of Pennsylvania.
- Fukuda, Shin-ichi & Hoshi, Takeo & Ito, Takatoshi & Rose, Andrew, 2006. "International Finance," Journal of the Japanese and International Economies, Elsevier, vol. 20(4), pages 455-458, December.
- James H. Stock & Mark W. Watson, 1989.
"New Indexes of Coincident and Leading Economic Indicators,"
in: NBER Macroeconomics Annual 1989, Volume 4, pages 351-409
National Bureau of Economic Research, Inc.
- Stock, J.H. & Watson, M.W., 1989. "New Indexes Of Coincident And Leading Economic Indicators," Papers 178d, Harvard - J.F. Kennedy School of Government.
- Andrew Ang & Geert Bekaert, 1998.
"Regime Switches in Interest Rates,"
NBER Working Papers
6508, National Bureau of Economic Research, Inc.
- Duan, Jin-Chuan & Jacobs, Kris, 1996. "A simple long-memory equilibrium interest rate model," Economics Letters, Elsevier, vol. 53(3), pages 317-321, December.
- Jarrow, Robert A & Lando, David & Turnbull, Stuart M, 1997. "A Markov Model for the Term Structure of Credit Risk Spreads," Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 481-523.
- Nickell, Pamela & Perraudin, William & Varotto, Simone, 2000.
"Stability of rating transitions,"
Journal of Banking & Finance,
Elsevier, vol. 24(1-2), pages 203-227, January.
- Tatiana Kirsanova, 2002. "Credibility of the Russian Stabilisation Programme in 1995-98," NIESR Discussion Papers 193, National Institute of Economic and Social Research.
- James H. Stock & Mark W. Watson, 1998.
"Business Cycle Fluctuations in U.S. Macroeconomic Time Series,"
NBER Working Papers
6528, National Bureau of Economic Research, Inc.
- Stock, James H. & Watson, Mark W., 1999. "Business cycle fluctuations in us macroeconomic time series," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 1, pages 3-64 Elsevier.
- Thomas, Lyn C. & Allen, David E. & Morkel-Kingsbury, Nigel, 2002. "A hidden Markov chain model for the term structure of bond credit risk spreads," International Review of Financial Analysis, Elsevier, vol. 11(3), pages 311-329.
- Christian B. Mulder & Brieuc Monfort, 2000. "Using Credit Ratings for Capital Requirementson Lending to Emerging Market Economies; Possible Impact of a New Basel Accord," IMF Working Papers 00/69, International Monetary Fund.
- Detemple, Jerome B, 1986. " Asset Pricing in a Production Economy with Incomplete Information," Journal of Finance, American Finance Association, vol. 41(2), pages 383-91, June.
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