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The literature on the Fisher effect has ignored the potential relationship between inflation and long-term interest rates. Using an expectations model of the term structure of interest rates, the authors establish the conditions under which innovations in short-term inflation will be transmitted to long-term as well as short-term interest rates. Cointegration tests find support for both the Fisher effect and the expectations theory of the term structure.
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Wallace et al. (1993) studied this question.
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