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Frequency Dependence in a Real-Time Monetary Policy Rule
We estimate a monetary policy rule for the US allowing for possible frequency dependence?i.e., allowing the central bank to respond differently to more persistent innovations than to more transitory innovations, in both the unemployment rate and the inflation rate. Our estimation method uses real-time data in these rates?as did the FOMC?and requires no a priori assumptions on the pattern of frequency dependence or on the nature of the processes generating either the data or the natural rate of unemployment. Unlike other approaches, our estimation method allows for possible feedback in the relationship. Our results convincingly reject linearity in the monetary policy rule, in the sense that we find strong evidence for frequency dependence in the key coefficients of the central bank's policy rule: i.e., the central bank's federal funds rate response to a fluctuation in either the unemployment or the inflation rate depended strongly on the persistence of this fluctuation in the recently observed (real-time) data. These results also provide useful insights into how the central bank's monetary policy rule has varied between the Martin-Burns-Miller and the Volcker-Greenspan time periods.
AUTHORS: Verbrugge, Randal; Tsang, Kwok Ping; Ashley, Richard
All Fluctuations Are Not Created Equal: The Differential Roles of Transitory versus Persistent Changes in Driving Historical Monetary Policy
The historical analysis of FOMC behavior using estimated simple policy rules requires the specification of either an estimated natural rate of unemployment or an output gap. But in the 1970s, neither output gap nor natural rate estimates appear to guide FOMC deliberations. This paper uses the data to identify the particular implicit unemployment rate gap (if any) that is consistent with FOMC behavior. While its ability appears to have improved over time, our results indicate that, both before the Volcker period and through the Bernanke period, the FOMC distinguished persistent movements in the unemployment rate from other movements; implicitly such movements were treated as an intermediate target, one that departs substantially from conventional estimates of the natural rate. We further investigate historical FOMC responses to inflation fluctuations. In this regard, FOMC behavior changed in the Volcker-Greenspan-Bernanke period: its response to the inflation rate became much stronger, and it focused more intensely on very persistent movements in this variable. Our results shed light on the ?Great Inflation? experience of the 1970s, and are consistent with the view that political pressures effectively limited the FOMC response to the buildup of inflation. They also suggest new directions for DSGE modeling.
AUTHORS: Verbrugge, Randal; Ashley, Richard; Tsang, Kwok Ping
Persistence Dependence in Empirical Relations: The Velocity of Money
Standard theory predicts persistence dependence in numerous economic relationships. (For example, persistence dependence is precisely the kind of nonlinear relationship posited in the Permanent Income Hypothesis; persistence dependence is the inverse of ?frequency dependence? in a relationship.) Until recently, however, it was challenging to achieve credible inference about persistence dependence in an economic relationship using available methods. However, recently developed econometric tools (Ashley and Verbrugge, 2009a) allow one to elegantly quantify the variation in a time-series relationship across persistence levels, even when the data must be first-differenced because they are I(1), or nearly so. We apply these tools to study the velocity of money. Standard theory predicts that velocity should be positively correlated with the nominal interest rate: A high nominal interest rate raises the opportunity cost of holding wealth in liquid form, prompting agents to economize on money holdings. But as Cochrane (2012) pointed out, the velocity-interest rate linkage appears to be weak upon first-differencing. We argue that the root cause of this phenomenon is a particularly intuitive form of nonlinear dependence in the relationship: The strength of the relationship depends on the persistence level of a particular interest rate fluctuation. In particular, this relationship is substantially (and statistically significantly) stronger at low frequencies?i.e., at high interest rate fluctuation persistence levels. Because we allow for persistence dependence in the estimated relationship, this strong association is apparent despite the first-difference transformation applied to these data.
AUTHORS: Ashley, Richard; Verbrugge, Randal
A New Look at Historical Monetary Policy and the Great Inflation through the Lens of a Persistence-Dependent Policy Rule
The origins of the Great Inflation, a central 20th century U.S. macroeconomic event, remain contested. Prominent explanations are poor forecasts or deficient activity gap estimates. An alternative view: the FOMC was unwilling to fight inflation, perhaps due to political pressures. Our findings, based on a novel approach, support the latter view. New econometric tools allow us to credibly identify the particular activity gap, if any, in use. Persistence-dependent unemployment (gap) responses in the 1970s were essentially the same pre- and post-Volcker. Conversely, FOMC behavior vis--vis inflation?also persistence-dependent?changed markedly starting with Volcker, consistent with (though not proving) the political pressures view.
AUTHORS: Tsang, Kwok Ping; Ashley, Richard; Verbrugge, Randal
Variation in the Phillips Curve Relation across Three Phases of the Business Cycle
We use recently developed econometric tools to demonstrate that the Phillips curve unemployment rate?inflation rate relationship varies in an economically meaningful way across three phases of the business cycle. The first (?bust phase?) relationship is the one highlighted by Stock and Watson (2010): A sharp reduction in inflation occurs as the unemployment rate is rising rapidly. The second (?recovery phase?) relationship occurs as the unemployment rate subsequently begins to fall; during this phase, inflation is unrelated to any conventional unemployment gap. The final (?overheating phase?) relationship begins once the unemployment rate drops below its natural rate. We validate our findings in a forecasting exercise and find statistically significant episodic forecast improvement. Our analysis allows us to provide a unified explanation of many prominent findings in the literature.
AUTHORS: Verbrugge, Randal; Ashley, Richard