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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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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Gouriéroux, Christian & Scaillet, O., 1994. "Estimation of the term structure from bond data," CEPREMAP Working Papers (Couverture Orange) 9415, CEPREMAP.
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