Does the NAIRU Have the Right Dynamics?
The “NAIRU ” view of the relationship between inflation and the unemployment rate is that there is a value of the unemployment rate (the NAIRU) below which the price level forever accelerates and above which the price level forever decelerates. 1 This view imposes two important restrictions on the dynamics of the price process. This can be seen by examining a simple version of the NAIRU equation: πt − πt−1 = β(ut − u ∗ ) + γst +ɛt, β < 0, γ> 0, (1) where t is the time period, πt is the rate of inflation, ut is the unemployment rate, st is a cost shock variable, ɛt is an error term, and u ∗ is the NAIRU. If ut equals u ∗ for all t, the rate of inflation will not change over time aside from the short-run effects of st and ɛt (assuming st and ɛt have zero means). Otherwise, the rate of inflation will increase over time (the price level will accelerate) if ut is less than u ∗ for all t and will decrease over time (the price level will decelerate) if ut is greater than u ∗ for all t.