Abstract

This paper introduces a model that addresses the key worldwide features of modern monetary policy making: the discreteness of policy interest rates both in magnitude and in timing, the preponderance of status quo decisions, monetary policy inertia and policy regime switching. We capture them by developing a new dynamic ordered-choice model with switching among three latent policy regimes (easing, neutral and tightening). The simulations and an application to the federal funds rate target demonstrate that ignoring these features leads to biased estimates, worse in- and out-of-sample predictions, and a qualitatively different inference. Using all Federal Open Market Committee’s (FOMC) decisions made both at scheduled and unscheduled meetings as sample observations, we model the Federal Reserve’s response to real-time data available right before each meeting. The new model, fitted for the Greenspan’s tenure, detects oscillating switches among latent regimes, identifies three types of status quo decisions, correctly predicts out of sample 90% of the next 111 FOMC decisions on the target rate, and clearly outperforms the linear models (including the Taylor rule), the conventional ordered probit and other discrete-choice models from the literature.

Highlights

  • We develop a dynamic model of discrete ordered choice with lagged latent dependent variables among regressors and with time-varying transition probabilities of switching among three latent regimes interpreted in the interest-rate-setting context as easing, neutral and tight monetary policy stances

  • We develop a new dynamic discrete-choice model for monetary policy interest rates

  • Central banks typically adjust policy rates by discrete increments and often leave them unchanged in different economic circumstances; if central banks make a change, it is usually followed by further changes in the same direction

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Summary

Introduction

We develop a dynamic model of discrete ordered choice with lagged latent dependent variables among regressors and with time-varying transition probabilities of switching among three latent regimes interpreted in the interest-rate-setting context as easing, neutral and tight monetary policy stances. The observed discrete change yt is conditional on a latent discrete variable st∗ (coded as −1, 0, or 1 if the central bank policy regime is easing, neutral or tight, respectively) Both yt and st∗ are determined in an ordered probit fashion as yt |(st∗ = −1) = j yt |(st∗ = 0) = 0, yt |(st∗ = 1) = j if if c−j−1 < rt−∗ ≤ c−j for j ≤ 0,. The technical problems with the computation of the equilibria, caused by the discreteness and nonlinearity of the policy rule, would become exacerbated by the unobserved switching among three latent regimes

Estimation and inference
Update for the latent variables
Update for the slope parameters
Update for the cutpoint parameters
Grouped move step
Finite sample performance
Empirical application
Data and model specifications
Estimation results
In- and out-of-sample comparison of competing models
Findings
Concluding remarks

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