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Arbitrage Opportunities in Arbitrage-Free Models of Bond Pricing

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Author Info
Backus, David
Foresi, Silverio
Zin, Stanley

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Abstract

Mathematical models of bond pricing are used by both academics and Wall Street practitioners, with practitioners introducing time-dependent parameters to fit 'arbitrage-free' models to selected asset prices. The authors show, in a simple one-factor setting, that the ability of such models to reproduce a subset of security prices need not extend to state-contingent claims more generally. They argue that the additional parameters of arbitrage-free models should be complemented by close attention to fundamentals, which might include mean reversion, multiple factors, stochastic volatility, and/or nonnormal interest-rate distributions.

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

Volume (Year): 16 (1998)
Issue (Month): 1 (January)
Pages: 13-26
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Handle: RePEc:bes:jnlbes:v:16:y:1998:i:1:p:13-26

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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.:
  1. Stambaugh, Robert F., 1988. "The information in forward rates : Implications for models of the term structure," Journal of Financial Economics, Elsevier, vol. 21(1), pages 41-70, May. [Downloadable!] (restricted)
  2. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November. [Downloadable!] (restricted)
  3. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June. [Downloadable!] (restricted)
  4. Mark Rubinstein, 1976. "The Valuation of Uncertain Income Streams and the Pricing of Options," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 407-425, Autumn. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 3(4), pages 573-92. [Downloadable!] (restricted)
  7. Cooley, T.F. & LeRoy, S.F., 1991. "Pricing Interest-Sensitive Claims when Interest Rates Have Stationary Components," Papers 91-02, Rochester, Business - General.
  8. Brennan, Michael J. & Schwartz, Eduardo S., 1979. "A continuous time approach to the pricing of bonds," Journal of Banking & Finance, Elsevier, vol. 3(2), pages 133-155, July. [Downloadable!] (restricted)
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.)

  1. 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)
    Other versions:
  2. Eli M. Remolona & Joseph Dziwura & Irene Pedraza, 1995. "The short end of the forward convergence curve and asymmetric cat's tail convergence," Research Paper 9523, Federal Reserve Bank of New York. [Downloadable!]
  3. Orazio Di Miscia, 2005. "Estimation of continuous-time interest rate models: a nonparametric approach," Finance 0504015, EconWPA. [Downloadable!]
  4. Xibin Zhang & Robert D. Brooks & Maxwell L. King, 2007. "A Bayesian approach to bandwidth selection for multivariate kernel regression with an application to state-price density estimation," Monash Econometrics and Business Statistics Working Papers 11/07, Monash University, Department of Econometrics and Business Statistics. [Downloadable!]
  5. Jin-Chuan Duan & Kris Jacobs, 2001. "Short and Long Memory in Equilibrium Interest Rate Dynamics," CIRANO Working Papers 2001s-22, CIRANO. [Downloadable!]
  6. Michael W. Brandt & Amir Yaron, 2003. "Time-Consistent No-Arbitrage Models of the Term Structure," NBER Working Papers 9458, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  7. Jonathan Berk & Richard C. Green & Vasant Naik, 1998. "Optimal Investment, Growth Options, and Security Returns," NBER Working Papers 6627, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  8. Teresa Corzo Santamaría & Javier Gómez Biscarri, 2004. "Nonparametric Estimation of Convergence of Interest Rates: Effects on Bond Pricing," Faculty Working Papers 03/04, School of Economics and Business Administration, University of Navarra. [Downloadable!]
    Other versions:
  9. Leo Krippner, 2005. "An Intertemporally-Consistent and Arbitrage-Free Version of the Nelson and Siegel Class of Yield Curve Models," Working Papers in Economics 05/01, University of Waikato, Department of Economics. [Downloadable!]
  10. Orazio Di Miscia, 2005. "Term structure of interest models: concept and estimation problem in a continuous-time setting," Finance 0504017, EconWPA. [Downloadable!]
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