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A Test of the Cox, Ingersoll, and Ross Model of the Term Structure

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Author Info
Gibbons, Michael R
Ramaswamy, Krishna
Abstract

We test the theory of the term structure of indexed-bond prices due to Cox, Ingersoll, and Ross (CIR). The econometric method uses Hansen's generalized method of moments and exploits the probability distribution of the single-state variable in CIR's model, thus avoiding the use of aggregate consumption data. It enables us to estimate a continuous-time model based on discretely sampled data. The tests indicate that CIR's model for index bonds performs reasonably well when confronted with short-term Treasury-bill returns. The estimates indicate that term premiums are positive and that yield curves can take several shapes. However, the fitted model does poorly in explaining the serial correlation in real Treasury-bill returns. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.

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Article provided by Oxford University Press for Society for Financial Studies in its journal Review of Financial Studies.

Volume (Year): 6 (1993)
Issue (Month): 3 ()
Pages: 619-58
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Handle: RePEc:oup:rfinst:v:6:y:1993:i:3:p:619-58

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  1. Yacine Ait-Sahalia, 1995. "Testing Continuous-Time Models of the Spot Interest Rate," NBER Working Papers 5346, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  2. Chi-Young Choi & Nelson C. Mark & Donggyu Sul, 2004. "Bias Reduction by Recursive Mean Adjustment in Dynamic Panel Data Models," Econometrics 0409005, EconWPA. [Downloadable!]
  3. Hao Zhou, 2001. "Jump-diffusion term structure and Ito conditional moment generator," Finance and Economics Discussion Series 2001-28, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  4. David Backus & Silverio Foresi & Chris Telmer, 1998. "Discrete-Time Models of Bond Pricing," NBER Working Papers 6736, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  5. Frank F. Gong & Eli M. Remolona, 1996. "Two factors along the yield curve," Research Paper 9613, Federal Reserve Bank of New York. [Downloadable!]
  6. Nikolaos Panigirtzoglou & James Proudman & John Spicer, . "Persistence and volatility in short-term interest rates," Bank of England working papers 116, Bank of England. [Downloadable!]
  7. Ait-Sahalia, Yacine & Kimmel, Robert L., 2008. "Estimating Affine Multifactor Term Structure Models Using Closed-Form Likelihood Expansions," Working Paper Series 2008-19, Ohio State University, Charles A. Dice Center for Research in Financial Economics. [Downloadable!]
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  8. John Y. Campbell & Luis M. Viceira, 1998. "Who Should Buy Long-Term Bonds?," NBER Working Papers 6801, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  9. Scheffel, Eric, 2008. "A Credit-Banking Explanation of the Equity Premium, Term Premium, and Risk-Free Rate Puzzles," Cardiff Economics Working Papers E2008/30, Cardiff University, Cardiff Business School, Economics Section. [Downloadable!]
  10. Isaac Kleshchelski & Nicolas Vincent, 2007. "Robust Equilibrium Yield Curves," Cahiers de recherche 08-02, HEC Montréal, Institut d'économie appliquée. [Downloadable!]
  11. Hao Zhou, 2000. "A study of the finite sample properties of EMM, GMM, QMLE, and MLE for a square-root interest rate diffusion model," Finance and Economics Discussion Series 2000-45, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  12. David K. Backus & Stanley E. Zin, 1994. "Reverse Engineering the Yield Curve," NBER Working Papers 4676, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  13. Yacine Ait-Sahalia, 1995. "Nonparametric Pricing of Interest Rate Derivative Securities," NBER Working Papers 5345, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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