Can central banks’ monetary policy be described by a linear (augmented) Taylor rule or by a nonlinear rule?

The original Taylor rule establishes a simple linear relation between the interest rate, inflation and the output gap. An important extension to this rule is the assumption of a forward-looking behaviour of central banks. Now they are assumed to target expected inflation and output gap instead of current values of these variables. Using a forward-looking monetary policy reaction function, this paper analyses whether central banks’ monetary policy can indeed be described by a linear Taylor rule or, instead, by a nonlinear rule. It also analyses whether that rule can be augmented with a financial conditions index containing information from some asset prices and financial variables. The results indicate that the monetary behaviour of the European Central Bank and Bank of England is best described by a nonlinear rule, but the behaviour of the Federal Reserve of the United States can be well described by a linear Taylor rule. Our evidence also suggests that only the European Central Bank is reacting to financial conditions.     

Monetary Policy Estimation in Real Time: Forward‐Looking Taylor Rules without Forward‐Looking Data

I propose a methodology for estimating forward‐looking Taylor rules in real time when forward‐looking real‐time central bank data are unavailable. The methodology consists of choosing appropriate models to closely replicate U.S. Greenbook forecasts and then applying these models to Canada, Germany, and the U.K. The results show that German and U.S. Taylor rules are characterized by inflation coefficients increasing with the forecast horizon and a positive output gap response. The U.K. and Canada interest rate reaction functions achieve maximum inflation response at middle‐term horizons of about 1/2 years and the output gap coefficient is insignificant.     

Has U.S. monetary policy tracked the efficient interest rate?

Interest rate decisions by central banks are universally discussed in terms of Taylor rules, which describe policy rates as responding to inflation and some measure of the output gap. We show that an alternative specification of monetary policy, in which the interest rate tracks the Wicksellian efficient rate of return as the primary indicator of real activity, fits the U.S. data better than otherwise identical Taylor rules. This result holds for a variety of specifications of the other ingredients of the policy rule, including the output gap, and of private agents׳ behavior.     

The Central Banker as a Risk Manager: Estimating the Federal Reserve's Preferences under Greenspan

We derive a natural generalization of the Taylor rule that links changes in the interest rate to the balance of the risks implied by the dual objective of sustainable economic growth and price stability. This monetary policy rule reconciles economic models of expected utility maximization with the risk management approach to central banking. Within this framework, we formally test and reject the standard assumption of quadratic and symmetric preferences in inflation and output that underlies the derivation of the Taylor rule. Our results suggest that Fed policy decisions under Greenspan were better described in terms of the Fed weighing upside and downside risks to their objectives rather than simply responding to the conditional mean of inflation and of the output gap.     

One Size Fits All? Monetary Policy and Asymmetric Household Debt Cycles in U.S. States

I investigate the nonlinear effects of monetary policy through differences in household debt across U.S. states. After constructing a novel indicator of inflation for the states, I compute state‐specific monetary policy stances as deviations from an aggregate Taylor rule. I find that the effectiveness of monetary policy is curtailed during periods of large household debt imbalances. Moreover, a common U.S. monetary policy does not fit all; it may have asymmetric effects on the economic performance across states, particularly at times of high dispersion in the household debt imbalances, as it may have been the case around the Great Recession.     

The New Keynesian Phillips Curve: From Sticky Inflation to Sticky Prices

The New Keynesian Phillips Curve (NKPC) model of inflation dynamics based on forward-looking expectations is of great theoretical significance in monetary policy analysis. Empirical studies, however, often find that backward-looking inflation inertia dominates the dynamics of the short-run aggregate supply curve. This inconsistency is examined by investigating multiple structural changes in the NKPC for the U.S. between 1960 and 2005, employing both inflation expectations survey data and a rational expectations approximation. We find that forward-looking behavior plays a smaller role during the high and volatile inflation regime to 1981 than in the subsequent period of moderate inflation, providing empirical support for sticky price models over the last two decades. A break in the intercept of the NKPC is also identified around 2001 and this may be associated with U.S. monetary policy in that period.     

Inflation,Employment, and Monetary Policy: Objectives and Outcomes in the UK and U.S. Compared

This paper explores how sensitive is monetary policy to the precise preferences of the central bank over inflation and economic activity. It does so in order to address a puzzle—which is that the U.S. Fed and the Bank of England appear to have quite different objectives and yet have adopted strikingly similar policies in recent years. I use a calibrated model to assess how policy might be sensitive to attaching different weights to inflation, output, and the output gap in central bank objectives. I find that a wide range of weights can give rise to rather similar monetary policies.     

Optimal monetary policy with the cost channel

In the standard new Keynesian framework, an optimizing policy maker does not face a trade-off between stabilizing the inflation rate and stabilizing the gap between actual output and output under flexible prices. An ad hoc, exogenous cost-push shock is typically added to the inflation equation to generate a meaningful policy problem. In this paper, we show that a cost-push shock arises endogenously when a cost channel for monetary policy is introduced into the new Keynesian model. A cost channel is present when firms’ marginal cost depends directly on the nominal rate of interest. Besides providing empirical evidence for a cost channel, we explore its implications for optimal monetary policy. We show that its presence alters the optimal policy problem in important ways. For example, both the output gap and inflation are allowed to fluctuate in response to productivity and demand shocks under optimal monetary policy.     

Notes on the Underground: Monetary Policy in Resource‐Rich Economies

The central bank of a commodity‐exporting small open economy faces the traditional trade‐off between domestic inflation and output gap. The commodity sector introduces a terms‐of‐trade inefficiency that gives rise to an endogenous cost‐push shock, changes the target level for output, reduces the slope of the Phillips curve, and increases the importance of stabilizing the output gap. Optimal monetary policy calls for a reduction of the interest rate following a drop in the oil price. In contrast, a central bank with a mandate to stabilize consumer price inflation raises interest rates to limit the inflationary impact of an exchange rate depreciation.     

Identifying the Stance of Monetary Policy at the Zero Lower Bound: A Markov‐Switching Estimation Exploiting Monetary‐Fiscal Policy Interdependence

In this paper, I propose an econometric technique to estimate a Markov‐switching Taylor rule subject to the zero lower bound of interest rates. I show that linking the switching of the Taylor rule coefficients to the switching of the coefficients of an auxiliary uncensored Markov‐switching regression improves the identification of an otherwise unidentifiable prevalent monetary regime because of the presence of the zero lower bound. Using a Markov‐switching fiscal policy rule as the auxiliary regression, I apply the estimation technique to U.S. data. Results show evidence of monetary and fiscal policy comovements, with monetary policy reacting weakly to inflation when fiscal policy is focused on real activity as opposed to debt stabilization, and vice versa.     

U.S. Monetary Regimes and Optimal Monetary Policy in the Euro Area

Monetary policy in the United States has been documented to have switched from reacting weakly to inflation fluctuations during the 1970s, to fighting inflation aggressively from the early 1980s onward. In this paper, I analyze the impact of the U.S. monetary policy regime switches on the Eurozone. I construct a New Keynesian two‐country model where foreign (U.S.) monetary policy switches regimes over time. I estimate the model for the U.S. and the Euro Area using quarterly data and find that the United States has switched between those two regimes, in line with existing evidence. I show that foreign regime switches affect home (Eurozone) inflation and output volatility and their responses to shocks, substantially, as long as the home central bank commits to a time‐invariant interest rate rule reacting to domestic conditions only. Optimal policy in the home country instead requires that the home central bank reacts strongly to domestic producer‐price inflation and to international variables, such as imported goods relative prices. In fact, I show that currency misalignments and relative prices play a crucial role in the transmission of foreign monetary policy regime switches internationally. Interestingly, I show that only marginal gains arise for the Euro Area when the European Central Bank (ECB) adjusts its policy according to the monetary regime in the United States. Thus, a simple time‐invariant monetary policy rule with a strong reaction to Producer Price Index (PPI) inflation and relative prices is enough to counteract the effects of monetary policy switches in the United States.     

Discretionary monetary policy and the zero lower bound on nominal interest rates

Ignoring the existence of the zero lower bound on nominal interest rates one considerably understates the value of monetary commitment in New Keynesian models. A stochastic forward-looking model with an occasionally binding lower bound, calibrated to the U.S. economy, suggests that low values for the natural rate of interest lead to sizeable output losses and deflation under discretionary monetary policy. The fall in output and deflation are much larger than in the case with policy commitment and do not show up at all if the model abstracts from the existence of the lower bound. The welfare losses of discretionary policy increase even further when inflation is partly determined by lagged inflation in the Phillips curve. These results emerge because private sector expectations and the discretionary policy response to these expectations reinforce each other and cause the lower bound to be reached much earlier than under commitment.     

Monetary policy and the twin crises

After presenting a brief overview of the recent financial crisis and the European debt crisis that followed in its wake, this paper goes on discuss monetary policy in the United States, the United Kingdom and the Euro bloc prior to and during the course of the two crises. The paper presents historical evidence for the three areas on the relationships linking the volatilities of output, inflation and monetary growth. In all three these relations are strongly positive. There is, therefore, no tradeoff between inflation and output volatility; the two move up and down together. Both, moreover, move up and down with the volatility of monetary growth. Viewed from this perspective, the increased volatilities of money supplies and the monetary base in the United States, the United Kingdom and the Euro bloc over the last half decade pose problems.     

Nominal GDP Targeting and the Taylor Rule on an Even Playing Field

Some economists advocate nominal GDP targeting as an alternative to the Taylor Rule. These arguments are largely based on the idea that nominal GDP targeting would require less knowledge on the part of policymakers than a traditional Taylor Rule. In particular, a nominal GDP targeting rule would not require real-time knowledge of the output gap. We examine the importance of this claim by amending a standard New Keynesian model to assume that the central bank has imperfect information about the output gap and therefore must forecast the output gap based on previous information. Forecast errors by the central bank can then potentially induce unanticipated changes in the short-term nominal interest rate, distinct from a standard monetary policy shock. We show that forecast errors of the output gap by the Federal Reserve can account for up to 13% of the fluctuations in the output gap. In addition, our simulations imply that a nominal GDP targeting rule would produce lower volatility in both inflation and the output gap in comparison with the Taylor Rule under imperfect information.     

Endogenous nominal rigidities and monetary policy

Recent empirical research finds that the degree of nominal rigidities varies over monetary policy regimes. This implies that monetary policy analysis with exogenously given nominal rigidities is subject to the Lucas critique. We allow firms to choose the probability of price adjustment in a Calvo-style sticky price model, and analyze how this probability changes according to an inflation coefficient of the Taylor rule. The model shows that a more aggressive monetary policy response to inflation makes firms less likely to reset prices and gives the resulting New Keynesian Phillips curve a flatter slope and a smaller disturbance, as observed during the Volcker-Greenspan era. Also, such a policy response can stabilize both inflation and the output gap by exploiting the feedback effects of this policy response on firms’ price-setting. These results offer theoretical support for the good policy hypothesis about the Great Moderation.     

中国货币政策反应函数检验

本文利用历史数据对中国货币当局的政策反应函数进行了实证检验。结果发现,中国货币当局除了按照泰勒(Taylor)规则对通胀偏倚和产出偏倚作出反应之外,还对美国货币政策变量作出反应。这表明,中国货币当局在制定货币政策时已经在某种程度上考虑了国际博弈因素。     

Monetary Policy and Inflation in the 70s

An influential paper by Clarida, Galí, and Gertler (2000) has attributed the great inflation of the 1970s to the violation of the Taylor principle in the conduct of U.S. monetary policy (weak, indeterminacy inducing response to expected inflation). We evaluate this thesis in the context of a standard New Keynesian model against a version of the model that incorporates incomplete information learning about the true state of the economy. The likelihood‐based estimation of the model overwhelmingly favors the specification with indeterminacy over the alternatives with determinacy, independent of the presence and size of misperceptions.     

Stock liquidity and the Taylor rule

This paper examines how stock market liquidity and commonality in liquidity are impacted by real-time output gap and inflation, as these macroeconomic variables have been shown to be the main drivers of monetary policy according to the Taylor rule. We show that an increase in the output gap and inflation lowers stock liquidity and increases commonality in liquidity, since it points to a contractionary monetary policy and is likely to lead to a decline in the liquidity providers' funding liquidity. This effect is larger for stocks with low market capitalization and low liquidity.     

Why Don’t Oil Shocks Cause Inflation? Evidence from Disaggregate Inflation Data

This paper uses disaggregate U.S. inflation data to evaluate explanations for the breakdown of the relationship between oil price shocks and consumer price inflation. A data set with measures of inflation, energy intensity, labor intensity, and sensitivity to monetary policy is constructed for 97 sectors that make up core CPI inflation. A comparison of the 1973–85 and 1986–2006 time periods reveals that substitution away from energy use in production and monetary policy were both important, with approximately two‐thirds of the change in response of inflation to oil shocks being due to reduced energy usage, and one‐third to monetary policy. We find no evidence that other factors, such as changes in wage rigidities or changes in the persistence of oil shocks, played a role.     

The Structural Dynamics of U.S. Output and Inflation: What Explains the Changes?

We examine the dynamics of U.S. output and inflation using a structural time-varying coefficients vector autoregression. There are changes in the volatility of both variables and in the persistence of inflation, but variations are statistically insignificant. Technology shocks explain changes in output volatility; real demand disturbances variations in the persistence and volatility of inflation. We detect important time variations in the transmission of technology shocks to output and demand shocks to inflation and significant changes in the variance of technology and of monetary policy shocks.