Abstract
Within a New Keynesian framework, interest rate rules that respond to public expectations lead to determinate and expectationally stable solutions for any level of commitment, as shown by Waters (Macroecon Dyn 13(4):421–449, 2009). That paper also demonstrates gains to commitment, under least square learning, though over-commitment can lead to some very poor outcomes for some parameter values. This paper shows an identical outcome under rational expectations. The optimal level of commitment is unchanged if there are observation errors in the policymaker’s knowledge of public expectations, which is not the case under learning. However, if there is sufficient policymaker uncertainty about the parameter values, partial commitment is best.
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Notes
See Evans and Honkapohja (2001) for definitions and mathematical exposition of these concepts.
If the policymaker has a biased estimate of λ, the change in policy would be equivalent to the change caused by varying the policymaker preference parameter α.
For all reported results, the loss for each run is calculated over 200 periods after 600 periods for initialization. Since losses are computed with discounting, longer runs do not provide much extra information.
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Waters, G.A. Dangers of commitment under rational expectations. J Econ Finan 35, 371–381 (2011). https://doi.org/10.1007/s12197-010-9127-x
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DOI: https://doi.org/10.1007/s12197-010-9127-x