Predicting the Effects of Federal Reserve Policy in a Sticky-Price Model: An Analytical Approach*

In this paper, I characterize equilibria for a sticky-price model in which Federal Reserve policy is an interest-rate rule similar to that described in Taylor (1993). For standard preferences and technologies used in the literature, the model predicts that the nominal interest rate is negatively serially correlated, and that shocks to interest rates imply a potentially large but short-lived response in output. Shocks to government spending and technology lead to persistent changes in output but the percentage change in output is predicted to be smaller than the percentage changes in spending or technology. I compare the model’s predictions to data using innovations backed out from estimated processes for interest rates, government spending, and technology shocks. These comparisons confirm the theoretical findings. In response to observed changes in government spending and technology, the model predicts a path for output that is much smoother than the data and much smoother than that predicted by non-sticky price models. *McGrattan, Federal Reserve Bank of Minneapolis. The views expressed herein are those of the author and not necessarily those of the Federal Reserve Bank of Minneapolis or the Federal Reserve System. 1 2 3 $ ' ) & ' ! 4 ' -$ ) / ' 5 ) 2 ' ' 6 4 7 8 -9 ' ) ' ) ! * +,$ ) 9 ! * +, ) / ) ) ! ( $ 9 $ 5 # $ # % & ' ( ) ( ( ' ! * +, # $ # % $ 9 $ $ -$ # / & (  ! "# $ % % & ' # # ( ) *+ , ) *, * + , % 2 , ) ( ) * $ % * % ' # 0 & $ -$ : # ' ) ) # ' ( $ ' ! $ 0 $ # 2 ( ' ' ) ! # ) ) / 2 ' ! / /0 ' -! 2 0 $ ) $ $ 2 & ' ' 9 # $ ' ' ' * $ 0 $ " $ ' $ * ;, , % & ' ' ) ( ' $ $ ' ' # $