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Paris-Princeton Lectures on Mathematical Finance 2004
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In Rememberance: World Trade Center (WTC)

Modeling Country Risk Ratings Using Partial Orders

by Peter L. Hammer of Rutgers University,
Alexandr Kogan of Rutgers University, and
Miguel A. Lejeune of Carnegie Mellon University

July 2004

Abstract: In order to evaluate the creditworthiness of various countries, a learning model is induced from the 1998 S&P country risk ratings, using the 1998 values of nine economic and three political indicators. This learning model allows the construction of a partially ordered set describing the relative superiority of countries on the basis of their creditworthiness, and it is shown that the Condorcet linear extensions of this poset match closely the S&P ratings. Moreover, the ratings derived from the model correlate highly with those of other rating agencies. The model is shown to provide excellent ratings even when applied to the following years' data or to the ratings of previously unrated countries. Rating changes implemented by S&P in subsequent years resolved most of the (few) discrepancies between the constructed poset and S&P's initial ratings.

Published in: European Journal of Operational Research, Vol. 175, No. 2, (December 2006), pp. 836-859.

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