This paper extends previous studies on bond ratings by modeling as a system of equations the determinants of a municipality's decision to obtain a bond rating and the determinants of the municipality's rating for the two major rating agencies. Our model provides a framework to examine formally the differences between the two agencies in the determinants of the ratings. We estimate the four-equation system by smooth simulated maximum likelihood estimation and then construct minimum x 2 tests on cross-equation restrictions based on optimal minimum distance estimation. Self-selection is found to be important in Moody's ratings while not in those of S&P. Split ratings appear to reflect differences in both the weight attached to specific determinants of the ratings and differences in the way the bonds are classified.
52C.-G. MOON AND J. G . STOTSKY ratings. These studies have primarily employed cross-section analysis with several different statistical techniques. Although early research used ordinary least squares and multiple discriminant analysis techniques to investigate the determinants of bond ratings, some recent research has used univariate ordered probit and logit analysis. These techniques are appropriate in analyzing this issue because, unlike ordinary least squares, the dependent variable-the rating-is not constrained to lie along a linear scale but only along an ordinal scale, and the spacing of the categories is determined by the data.Several studies have used ordered categorical variable techniques to examine the determinants of municipal bond ratings. Farnham (1984, 1985) consider the determinants of Moody's and Standard & Poor's (S&P's) ratings using univariate ordered probit estimation and Wescott (1984) analyzes the determinants of Moody's ratings using cluster and probit analysis. Several studies have also applied ordered categorical variable techniques to the analysis of corporate debt ratings.The first econometric extension in this analysis is to account for self-selection. A selectivity problem may arise in this analysis from the practice of considering only observations in a sampIe for which a bond rating has been obtained rather than from considering all observations with outstanding debt in the sample. The selectivity problem arises in analyzing these ratings in that the rating is observed only for those municipalities that have chosen to get rated. Considering the sample of municipalities that issue general obligation debt, it is inappropriate to estimate the determinants of the ratings with only the municipalities that have a rating if there is some systematic reason that the municipalities that do not have a rating have chosen not to obtain one. In this case, the expectation of the error term of the regression equation explaining the determinants of the rating, conditional on that municipality having a bond rating, is not equal to zero. [See Heckman (1979).] The bias that results from neglecting the self-selection problem is indeterminate, as it depends on the nature of the relationship b...