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Linear Factor Models and the Term Structure of Interest Rates

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  • Emmanuelle Clément
  • Christian Gourieroux
  • Alain Monfort

Abstract

The aim of this paper is the determination of the term structure of interest rates from observations of the prices of fixed-income bonds. We first introduce factor models to describe the evolution of prices of zero-coupon bonds, and we derive the constraints induced by the arbitrage free condition. The second part of the paper is concerned with the statistical problems: identification, parameter estimation, test of the arbitrage free hypothesis, valuation of various financial assets.

Suggested Citation

  • Emmanuelle Clément & Christian Gourieroux & Alain Monfort, 1995. "Linear Factor Models and the Term Structure of Interest Rates," Annals of Economics and Statistics, GENES, issue 40, pages 37-65.
  • Handle: RePEc:adr:anecst:y:1995:i:40:p:37-65
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    File URL: http://www.jstor.org/stable/20076015
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    1. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    2. Richard, Scott F., 1978. "An arbitrage model of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 6(1), pages 33-57, March.
    3. Szroeter, Jerzy, 1983. "Generalized Wald Methods for Testing Nonlinear Implicit and Overidentifying Restrictions," Econometrica, Econometric Society, vol. 51(2), pages 335-353, March.
    4. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    5. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    6. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    7. Carleton, Willard T & Cooper, Ian A, 1976. "Estimation and Uses of the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 31(4), pages 1067-1083, September.
    8. Brennan, Michael J. & Schwartz, Eduardo S., 1982. "An Equilibrium Model of Bond Pricing and a Test of Market Efficiency," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 17(3), pages 301-329, September.
    9. Burton G. Malkiel, 1962. "Expectations, Bond Prices, and the Term Structure of Interest Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 76(2), pages 197-218.
    10. Gordon Pye, 1966. "A Markov Model of the Term Structure," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 80(1), pages 60-72.
    11. Shiller, Robert J, 1979. "The Volatility of Long-Term Interest Rates and Expectations Models of the Term Structure," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1190-1219, December.
    12. Shea, Gary S, 1985. "Interest Rate Term Structure Estimation with Exponential Splines: A Note," Journal of Finance, American Finance Association, vol. 40(1), pages 319-325, March.
    13. Long, John Jr., 1974. "Stock prices, inflation, and the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 1(2), pages 131-170, July.
    14. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    15. Chambers, Donald R. & Carleton, Willard T. & Waldman, Donald W., 1984. "A New Approach to Estimation of the Term Structure of Interest Rates," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 19(3), pages 233-252, September.
    16. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1981. "A Re-examination of Traditional Hypotheses about the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 36(4), pages 769-799, September.
    17. J. M. Culbertson, 1957. "The Term Structure of Interest Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 71(4), pages 485-517.
    18. Modigliani, Franco & Shiller, Robert J, 1973. "Inflation, Rational Expectations and the Term Structure of Interest Rates," Economica, London School of Economics and Political Science, vol. 40(157), pages 12-43, February.
    19. Vasicek, Oldrich A & Fong, H Gifford, 1982. "Term Structure Modeling Using Exponential Splines," Journal of Finance, American Finance Association, vol. 37(2), pages 339-348, May.
    20. Brennan, Michael J & Schwartz, Eduardo S, 1980. "Conditional Predictions of Bond Prices and Returns," Journal of Finance, American Finance Association, vol. 35(2), pages 405-417, May.
    21. Chen, Ren-Raw & Scott, Louis O, 1992. "Pricing Interest Rate Options in a Two-Factor Cox-Ingersoll-Ross Model of the Term Structure," Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 613-636.
    22. Langetieg, Terence C, 1980. "A Multivariate Model of the Term Structure," Journal of Finance, American Finance Association, vol. 35(1), pages 71-97, March.
    23. James Van Horne, 1965. "Liquidity Preference, Interest‐Rate Risk, And The Term Structure Of Interest Rates," Journal of Finance, American Finance Association, vol. 20(3), pages 515-516, September.
    24. 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.
    25. McCulloch, J Huston, 1971. "Measuring the Term Structure of Interest Rates," The Journal of Business, University of Chicago Press, vol. 44(1), pages 19-31, January.
    26. James Van Horne, 1965. "Interest-Rate Risk and the Term Structure of Interest Rates," Journal of Political Economy, University of Chicago Press, vol. 73, pages 344-344.
    27. Heath, David & Jarrow, Robert & Morton, Andrew, 1990. "Bond Pricing and the Term Structure of Interest Rates: A Discrete Time Approximation," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(4), pages 419-440, December.
    28. Brennan, Michael J. & Schwartz, Eduardo S., 1977. "Savings bonds, retractable bonds and callable bonds," Journal of Financial Economics, Elsevier, vol. 5(1), pages 67-88, August.
    29. Jamshidian, Farshid, 1989. " An Exact Bond Option Formula," Journal of Finance, American Finance Association, vol. 44(1), pages 205-209, March.
    30. Michael J. Brennan and Eduardo S. Schwartz., 1979. "A Continuous-Time Approach to the Pricing of Bonds," Research Program in Finance Working Papers 85, University of California at Berkeley.
    31. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    32. Longstaff, Francis A & Schwartz, Eduardo S, 1992. "Interest Rate Volatility and the Term Structure: A Two-Factor General Equilibrium Model," Journal of Finance, American Finance Association, vol. 47(4), pages 1259-1282, September.
    33. Gourieroux, C. & Monfort, A., 1989. "A General Framework for Testing a Null Hypothesis in a “Mixed” Form," Econometric Theory, Cambridge University Press, vol. 5(1), pages 63-82, April.
    34. Dothan, L. Uri, 1978. "On the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 6(1), pages 59-69, March.
    35. Gouriéroux, Christian & Scaillet, O., 1994. "Estimation of the term structure from bond data," CEPREMAP Working Papers (Couverture Orange) 9415, CEPREMAP.
    36. Dobson, Steven W & Sutch, Richard C & Vanderford, David E, 1976. "An Evaluation of Alternative Empirical Models of the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 31(4), pages 1035-1065, September.
    37. 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 1011-1029, December.
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