The Journal of Finance

The Journal of Finance publishes leading research across all the major fields of finance. It is one of the most widely cited journals in academic finance, and in all of economics. Each of the six issues per year reaches over 8,000 academics, finance professionals, libraries, and government and financial institutions around the world. The journal is the official publication of The American Finance Association, the premier academic organization devoted to the study and promotion of knowledge about financial economics.

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Exploiting the Conditional Density in Estimating the Term Structure: An Application to the Cox, Ingersoll, and Ross Model

Published: 09/01/1994   |   DOI: 10.1111/j.1540-6261.1994.tb02454.x

NEIL D. PEARSON, TONG‐SHENG SUN

We propose an empirical method that utilizes the conditional density of the state variables to estimate and test a term structure model with known price formulae, using data on both discount and coupon bonds. The method is applied to an extension of a two‐factor model due to Cox, Ingersoll, and Ross (1985; CIR). Our results show that estimates based on only bills imply unreasonably large price errors for longer maturities. We reject the original CIR model using a likelihood ratio test, and conclude that the extended CIR model also fails to provide a good description of the Treasury market.