Cukierman, Webb, and Neyapti (1992) significantly broadened and deepened the empirical study of the link between central bank independence and inflation per- formance. They considered evidence for a group of countries much bigger than any examined previously, most of the additions being developing countries, and they-constructed a range of new indicators of independence based on central bank law, the results of a questionnaire, and the turnover rate of central bank gover- nors. In interpreting their findings, however, they appeared to add a further, new dimension to this subject but without examining the dimension's wider implica- tions. Almost as an afterthought, Cukierman, Webb, and Neyapti suggested that a country's choice of exchange rate regime might have some bearing on their results. Here I extend the analysis to show that a systematic examination of exchange rate-fixing arrangements can play a role in both accounting for the pattern of inflation rates across their sample of developing countries and sharpening the as- sociation between central bank independence and inflation performance.