Using a long-term interest rate as the monetary policy instrument

Using a short-term interest rate as the monetary policy instrument can be problematic near its zero bound constraint. An alternative strategy is to use a long-term interest rate as the policy instrument. We find when Taylor-type policy rules are used by the central bank to set the long rate in a standard New Keynesian model, indeterminacy—that is, multiple rational expectations equilibria—may often result. However, a policy rule with a long-rate policy instrument that responds in a “forward-looking” fashion to inflation expectations can avoid the problem of indeterminacy.     

Adaptive learning, forecast-based instrument rules and monetary policy

This paper argues that recently popular forecast-based instrument rules for monetary policy may fail to stabilize economic fluctuations. In a New Keynesian model of output gap and inflation determination in which private agents face multi-period decision problems, but have non-rational expectations and learn over time, if the monetary authority adopts a forecast-based instrument rule and responds to observed private forecasts then this class of policies frequently induce divergent learning dynamics. A central bank that correctly understands private behavior can mitigate such instability by responding to the determinants of private forecasts. This suggests gathering information on the determinants of expectations to be useful.     

Adaptive expectations, underparameterization and the Lucas critique

A striking implication of the replacement of adaptive expectations by rational expectations was the “Lucas critique,” which showed that expectation parameters, and endogenous variable dynamics, depend on policy parameters. We consider this issue from the vantage point of bounded rationality, where for transparency we model bounded rationality by means of simple adaptive expectations. We show that for a range of processes, monetary policy remains subject to the Lucas critique. However, there are also regimes in which the expectation parameter is locally invariant and the Lucas critique does not apply.     

Instability of sunspot equilibria in real business cycle models under adaptive learning

We provide conditions under which a general, reduced-form class of real business cycle (RBC) models has rational expectations equilibria that are both indeterminate and stable under adaptive learning. Indeterminacy of equilibrium allows for the possibility that non-fundamental “sunspot” variable realizations can be used to drive the model, and several researchers have offered calibrated structural models where sunspot shocks play such a role. However, we show that the structural restrictions researchers have adopted lead to reduced-form systems that are always unstable under adaptive learning dynamics, thus calling into question the plausibility of these sunspot-driven RBC models.     

Learnability and monetary policy: A global perspective

The recent literature on monetary policy design has emphasized the importance of equilibrium determinacy and learnability in the choice of policy rules. This paper contains an analysis of the learnability of the equilibrium in a class of simple, micro-founded models in which the policy authority uses a Taylor-type monetary policy rule. Unlike previous analyses, the model economy is not linearized about a steady state—instead, a global perspective is adopted. Globally, the nonlinear model economy can possess rational expectations equilibria other than the steady state consistent with the inflation target of the monetary authorities. These include a second, low inflation ‘liquidity trap’ steady state, periodic equilibria, and sunspot equilibria. The main results in the paper characterize the conditions under which these alternative equilibria maybe stable under adaptive learning, even when the policy rule obeys the Taylor principle. The stability of multiple equilibria is associated with policy rules which are forecast-based. An important finding is that backward-looking Taylor-type policy rules can guarantee that the unique learnable equilibrium is the steady state associated with the inflation target of the monetary authority.     

Unstable Inflation Targets

This paper studies long‐run inflation targets and stability in an imperfect information environment. When central banks set an inflation target that is not fully communicated, agents draw inferences about inflation from recent data and remain alert to structural change by forming expectations from a forecasting model that is estimated via discounted least squares. Inflation targets can lead agents' beliefs to depart from rational expectations through two channels. First, implementing a higher inflation target can lead to overshooting. Second, there can be nearly self‐fulfilling inflation, disinflation, or deflation that arises as an endogenous response to shocks. Policy implications for implementing a higher target without deanchoring expectations are discussed.     

Interest‐Rate Pegs in New Keynesian Models

The conventional policy perspective is that lowering the interest rate increases output and inflation in the short run, while maintaining inflation at a higher level requires a higher interest rate in the long run. In contrast, it has been argued that a Neo‐Fisherian policy of setting an interest‐rate peg at a fixed higher level will increase the inflation rate. We show that adaptive learning argues against the Neo‐Fisherian approach. Pegging the interest rate at a higher level will induce instability and most likely lead to falling inflation and output over time. Eventually, this would precipitate a change of policy.     

Learning and the Yield Curve

Two central implications of Expectations Hypothesis under rational expectations are inconsistent with yield curve data: (i) future expected long yields fall, instead of rising, when yield spread rises; (ii) long yields are excessively volatile relative to short yields. I propose an optimization framework in which boundedly rational agents use adaptive learning to form expectations. The belief structure rationalizes pattern of yields observed in the data so that the first puzzle does not arise with subjective expectations: intertemporal income and substitution effects are amplified relative to rational expectations. The second puzzle is partly accounted for by extra volatility due to parameter uncertainty.     

Optimal monetary policy with durable consumption goods

We document that the durable goods sector is much more interest-sensitive than the nondurables sector, and then investigate the implications of these sectoral differences for monetary policy. We formulate a two-sector general equilibrium model that is calibrated both to match the sectoral responses to a monetary shock derived from our empirical VAR and to imply an empirically realistic degree of sectoral output volatility and comovement. While the social welfare function involves sector-specific output gaps and inflation rates, the performance of the optimal policy rule can be closely approximated by a simple rule that targets a weighted average of aggregate wage and price inflation. In contrast, a rule that stabilizes a more narrow measure of final goods price inflation performs poorly in terms of social welfare.     

Forecast rationality and monetary policy frameworks: Evidence from UK interest rate forecasts

We find evidence of heterogeneity and irrationality among professional forecasts for three-month inter-bank rates and ten-year gilt yields at both short and long forecast horizons over the period 1989-2006. The majority of biased forecasts overestimate the future spot rate, consistent with slow adjustment to the declining trend in inflation and interest rates. Furthermore, we produce evidence indicating that both monetary policy actions and elements of communication policy have information content regarding the rationality of forecasts. Changes in official bank rates and disagreement among the Monetary Policy Committee influence the rationality of forecasts. The publication of inflation reports has no effect.     

Are non-fundamental equilibria learnable in models of monetary policy?

Recent models of monetary policy can have indeterminacy of equilibria, which is often viewed as a difficulty of these models. We consider the significance of indeterminacy using the learning approach to expectations formation. We employ expectational stability as a selection criterion for different equilibria and derive the expectational stability and instability conditions for forward-looking multivariate models, both without and with lags. The results are applied to several monetary policies.     

The learning cost of interest rate reversals

Many central banks in many time periods have sought to avoid interest rate reversals, but at present there is no good explanation of this phenomenon. Our analysis identifies a new learning cost associated with reversing the interest rate. In a standard monetary model with forward-looking expectations, data uncertainty and parameter uncertainty, a policy that frequently reverses the interest rate makes learning the key parameters of the model more difficult. Optimal monetary policy internalises this learning cost and therefore has a lower number of interest rate reversals.     

The Value of Interest Rate Stabilization Policies When Agents Are Learning

We examine the expectational stability (E-stability) of rational expectations equilibrium in the "New Keynesian" model where monetary policy is optimally derived and interest rate stabilization is added to the central bank's traditional objectives of inflation and output stabilization. We consider both the case where the central bank lacks a commitment technology and the case of full commitment. We show that for both cases, optimal policy rules yield rational expectations equilibria that are E-stable for a wide range of empirically plausible parameter values. These findings stand in contrast to Evans and Honkapohja's findings for optimal monetary policy rules in environments where interest rate stabilization is not a central bank objective.     

Learning asymmetries in real business cycles

When a boom ends, the downturn is generally sharp and short. When growth resumes, the boom is more gradual. Our explanation rests on learning about productivity. When agents believe productivity is high, they work, invest, and produce more. More production generates higher precision information. When the boom ends, precise estimates of the slowdown prompt decisive reactions: investment and labor fall sharply. When growth resumes, low production yields noisy estimates of recovery. Noise impedes learning, slows recovery, and makes booms more gradual than downturns. A calibrated model generates growth rate asymmetry similar to macroeconomic aggregates. Fluctuations in agents’ forecast precision match observed countercyclical errors of forecasters.“There is, however, another characteristic of what we call the trade cycle that our explanation must cover; namely, the phenomenon of the crisis—the fact that the substitution of a downward for an upward tendency often takes place suddenly and violently, whereas there is, as a rule, no such sharp turning point when an upward is substituted for a downward tendency.” J.M. Keynes (1936)     

Optimal Fiscal Policy Rules in a Monetary Union

This paper investigates the importance of fiscal policy in providing macroeconomic stabilization in a monetary union. We use a microfounded New Keynesian model of a monetary union, which incorporates persistence in inflation and non-Ricardian consumers, and derive optimal simple rules for fiscal authorities. We find that fiscal policy can play an important role in reacting to inflation, output, and the terms of trade, but that not much is lost if national fiscal policy is restricted to react, on the one hand, to national differences in inflation and, on the other hand, to either national differences in output or changes in the terms of trade. However, welfare is reduced if national fiscal policy responds only to output, ignoring inflation.     

Financial Expectations,Consumption and Saving: A Microeconomic Analysis*

We explore the determinants of individuals' financial expectations using data from the British Household Panel Survey, 1991–2003. Our findings suggest that individuals' financial predictions are influenced by both the life cycle and the business cycle. We also investigate the extent to which the accuracy of past financial expectations affects current financial expectations. Regardless of the accuracy of the prediction, past financial optimism has a positive effect on current expectations formation whilst past financial pessimism has a negative effect. We also explore the relationship between financial realisations and expectations and we find that expectations tend to fall short of financial realisations. Finally, we investigate how financial expectations influence saving and consumption. Our findings suggest that financial optimism is inversely associated with saving and that current financial expectations serve to predict future consumption.     

Inflation targeting makes the difference: Novel evidence on inflation stabilization

Though 28 and 29 provides theoretical evidence that the introduction of inflation targeting is consistent with an inflation stabilizing monetary policy, empirical evidence that the introduction of inflation targeting actually changes central bank’s behavior is still missing. This paper aims to close this gap and estimates forward-looking monetary policy rules for 20 inflation targeting countries. To this end, we use a data set which is available to the central bank in real-time, published on a frequently basis, comparable among all countries, and which includes the periods before and after the introduction of inflation targeting. We find that the introduction of inflation targeting significantly shifts the central bank’s reaction function toward inflation stabilizing. We also provide evidence of time-varying effects and find that central banks stabilize inflation once inflation targeting is introduced. We take our results as strong evidence that the introduction of inflation targeting makes the difference for monetary policy strategies.     

Monetary Policy with Heterogeneous and Misspecified Expectations

In the recent literature on monetary policy and learning, it has been suggested that private sector's expectations should play a role in the policy rule implemented by the central bank, as they could improve the ability of the policymaker to stabilize the economy. Private sector's expectations, in these studies, are often taken to be homogeneous and rational, at least in the limit of a learning process. In this paper, instead, we consider the case in which private agents are heterogeneous in their expectations formation mechanisms and hold heterogeneous expectations in equilibrium. We investigate the impact of this heterogeneity in expectations on central bank's policy implementation and on the ensuing economic outcomes, and the general result that emerges is that the central bank should disregard inaccurate private sector expectations and solely base its policy on the accurate ones.     

Escaping Volatile Inflation

Why has inflation been so stable in developed economies since the early 1990s? In this paper, we answer that the United States and other countries may have escaped from a volatile inflation equilibrium. Our argument builds on the story proposed by Tom Sargent in The Conquest of American Inflation, where the fall in inflation in the 1980s was attributed to changing government beliefs. To explain the escape in inflation volatility, we unwind one of Sargent's simplifications and allow the government to react to some of the shocks in the economy. In this case, when government beliefs turned against the Phillips curve in the 1980s they not only led to an escape from high inflation, but also stopped government using changes in inflation to offset shocks. Inflation and inflation volatility therefore escaped in tandem. Our analysis also sheds some light on why the escape in inflation occurred at the time it did.     

Heterogeneous Expectations,Optimal Monetary Policy,and the Merit of Policy Inertia

The design and analysis of optimal monetary policy is usually guided by the paradigm of homogeneous rational expectations. Instead, we examine the dynamic consequences of design and implementation strategies, when the actual economy features expectational heterogeneity. Agents have either rational or adaptive expectations. Consequently, the central bank's ability to achieve price stability under heterogeneous expectations depends on its objective and implementation strategy. An expectations‐based reaction function, which appropriately conditions on private sector expectations, performs exceptionally well. However, once the objective introduces policy inertia, popular strategies have similar determinacy properties, but they are less operational. This finding calls for new implementation strategies under interest rate stabilization.