The optimal choice of monetary policy instruments in a small open economy

Abstract.  This paper studies how the nature of shocks affects the optimal choice of monetary policy instruments in a small open economy. Three classic rules, fixed exchange rates, monetary targeting, and inflation targeting are studied and ranked by comparing with the optimal monetary policy under commitment. We find that the ranking of the simple rules can be mapped to the terms-of-trade variability that the rule allows relative to what a particular shock optimally calls for. It turns out that inflation targeting dominates the other two rules under productivity or velocity shocks, whereas monetary targeting is the best performer under fiscal shocks.     

Asymmetric monetary policy rules for the euro area and the US

We analyse the implications of asymmetric monetary policy rules by estimating Markov-switching DSGE models for the euro area (EA) and the US. The estimations show that until mid-2014 the ECB’s response to inflation was more forceful when inflation was above than below the central bank’s aim. Since then, the ECB’s policy can be characterised as symmetric, and we quantify the macroeconomic implications of this policy change. We uncover asymmetries also in the Fed’s policy, which has responded more strongly in times of crisis. We compute optimal simple rules for the EA and the US in an environment with the effective lower bound and a low neutral real rate, and find that it prescribes a stronger response to inflation and the output gap when inflation is below target compared to when it is above target. We document its stabilisation properties had this optimal rule been implemented over the last two decades.     

Output gap uncertainty: Does it matter for the Taylor rule?

This paper analyses the effect of measurement error in the output gap on efficient monetary policy rules in a simple estimated model of the US economy. While it is a well-known result that such additive uncertainty does not affect the optimal feedback rule in a linear-quadratic framework, it is shown that output gap uncertainty can have a significant effect on the efficient response coefficients in restricted instrument rules such as the popular Taylor rule. Output gap uncertainty reduces the response to the current estimated output gap relative to current inflation and may partly explain why the parameters in estimated Taylor rules are often much less than what optimal control exercises which assume the state of the economy is known suggest. First version received: September 2000/Final version received: February 2001     

Optimal Monetary Policy with Price and Wage Rigidities

In this paper, I search for an optimal configuration of parameters for variants of the Taylor rule by using an accurate second‐order welfare‐based method within a fully microfounded dynamic stochastic model, with price and wage rigidities, without capital accumulation. A version of the model with distortionary taxation is also explicitly tested. The model is solved up to second‐order solution. Optimal rules are obtained by maximizing a conditional welfare measure, differently from what has been done in the current literature. Optimal monetary policy functions turn out to be characterized by inflation targeting parameter lower than in empirical studies. In general, the optimal values for monetary policy parameters depend on the degree of nominal rigidities and on the role of fiscal policy. When nominal rigidities are higher, optimal monetary policy becomes more aggressive to inflation. With a tighter fiscal policy, optimal monetary policy turns out to be less aggressive to inflation. Impulse‐response functions based on second‐order model solution show a non‐affine pattern when the economy is hit by shocks of different magnitude .     

A comparison of optimal policy rules prior to and during inflation targeting: empirical evidence from Bank of Canada

We examine policy rules that are consistent with inflation targeting (IT) framework in a small macroeconomic model of the Canadian economy. We set up an optimal linear regulator problem and derive policy rules to compare the dynamics of pre-IT and IT eras. We find that while the optimal monetary policy rule in the pre-IT period is best described with a loss function that attaches equal weight to price stability, financial stability and output stability; the IT era is dominated by the price stability objective followed by the financial stability and output stability, consecutively. Moreover, we do not find an explicit role for exchange rate stability in the objective function of the Bank of Canada for both monetary policy eras. We, then, compare the properties of the derived optimal rules with those of an ad hoc Taylor rule for the IT period. In response to inflationary shocks, Taylor rule brings down inflation rates more quickly compared to the derived policy rules, but at the cost of a higher sacrifice ratio and more volatile interest rates.     

Monetary Policy with Parameter Uncertainty in Small-Open Economy

This paper computes optimal robust monetary policy in a new Keynesian small-open economy model with Knightian uncertainty about the degree of price stickiness and the elasticity of substitution between domestic and foreign goods. Due to the simple model structure used in the paper, I can derive analytical results for the min–max solution under discretion and assess how a robust optimal Taylor rule must be set in small-open economy. I find that, in an optimal robust discretionary equilibrium, the central bank should assume that the degree of price stickiness and the elasticity of substitution between domestic and foreign goods take on their highest numerical values. In terms of interest rate setting, if the optimal discretionary robust equilibrium is implemented with a Taylor rule, the policy rate should react to inflation in a less aggressive way than in the case of complete information.     

Optimal monetary policy for a small open economy

This paper focuses on the design of monetary policy rules for a small open economy. The model features optimizing behavior, general equilibrium and price stickiness. The real exchange rate is shown to affect the firm's real marginal cost, aggregate supply and aggregate demand. The welfare objective depends on the openness of the economy, and the optimal policy rule differs from that which obtains in a closed economy. The inflation versus output gap stabilization trade-off is caused by the real exchange rate. The implied optimal monetary policy regime is domestic inflation target coupled with controlled floating of the real exchange rate.     

Taylor rules and the Great Inflation

Can US monetary policy in the 1970s be described by a stabilizing Taylor rule when policy is evaluated with real-time inflation and output gap data? Using economic research on the full employment level of unemployment and the natural rate of unemployment published between 1970 and 1977 to construct real-time output gap measures for periods of peak unemployment, we find that the Federal Reserve did not follow a Taylor rule if appropriate measures are used. We estimate Taylor rules and find no evidence that monetary policy stabilized inflation, even allowing for changes in the inflation target. While monetary policy was stabilizing with respect to inflation forecasts, the forecasts systematically under-predicted inflation following the 1970s recessions and this does not constitute evidence of stabilizing policy. We also find that the Federal Reserve responded too strongly to negative output gaps.     

The optimal neglect of inflation: An alternative interpretation of UK monetary policy during the “Great Moderation”

This paper argues that UK monetary policymakers did not respond to the inflation rate during most of the “Great Moderation” that ran from the early 1990s to the mid-2000s. We derive a generalisation of the New Keynesian Phillips curve in which inflation is a non-linear function of the output gap and show that the optimal response of the policy rule to inflation depends on the slope of the Phillips curve; if this is flat, manipulation of aggregate demand through monetary policy does not affect inflation and so policymakers cannot affect inflation. We estimate the monetary policy rules implied by a variety of alternative Phillips curves; our preferred model is based on a Phillips curve that is flat when output is close to equilibrium. We find that policy rates do not respond to inflation when the output gap is small, a situation that characterised most of the “Great Moderation” period.     

Monetary Policy and Exchange Rate Volatility in a Small Open Economy

We lay out a small open economy version of the Calvo sticky price model, and show how the equilibrium dynamics can be reduced to a simple representation in domestic inflation and the output gap. We use the resulting framework to analyse the macroeconomic implications of three alternative rule-based policy regimes for the small open economy: domestic inflation and CPI-based Taylor rules, and an exchange rate peg. We show that a key difference among these regimes lies in the relative amount of exchange rate volatility that they entail. We also discuss a special case for which domestic inflation targeting constitutes the optimal policy, and where a simple second order approximation to the utility of the representative consumer can be derived and used to evaluate the welfare losses associated with the suboptimal rules.     

Inflation, Price Level and Hybrid Rules under Inflation Uncertainty

The performance and robustness of optimised interest rate rules are analysed in a New Keynesian model estimated for the euro area economy. In particular, we examine the properties of rules responding to inflation, the price level, or a combination of the two (a hybrid rule). All the rules also respond to the output gap. The optimal hybrid rule is only marginally superior when there is no model uncertainty. When there is uncertainty about the degree of inflation persistence, the inflation rule is the most robust rule and the performance of the other two rules deteriorates. However, all the rules perform well if the true degree of inflation persistence turns out to be less than policymakers’ estimate.     

Monetary policy reactions and the exchange rate: a regime-switching structural VAR for Canada

The objective of this study is to identify monetary policy reactions in a nonlinear, structural vector autoregression (VAR) framework, with regime-switching contemporaneous policy responses in a small open economy. The key finding is that monetary policy in Canada responds contemporaneously to disturbances in the real exchange rate, as well as the output gap and inflation. The Bank of Canada is found to have much larger responses to exchange rate fluctuations during volatile periods than more stable periods. However, the Bank is found statistically to have a relatively linear reaction function with symmetric responses to output and inflation shocks across interest rate regimes. The estimates for the contemporaneous responses to the output gap in both regimes are found to be virtually identical to the 0.5 weights in the original Taylor rule for the United States, while the responses to inflation surprises are slightly smaller. Overall, the Bank of Canada is found to have operated within the range of optimal responses suggested by small-scale structural models in the normative literature on monetary policy rules.     

Output gaps and monetary policy in the EMU area

Several considerations suggest that the ECB may respond to EMU-wide output gaps in setting policy: estimated reaction functions indicate that central banks respond to output gaps; a Taylor rule in which the central bank responds to inflation and the gap accounts for recent movements in interest rates in the EMU-area; and optimal control exercises conducted in estimated econometric models suggest that reacting to the gap may be optimal, even if the central bank cares solely about inflation. In this paper, we obtain point estimates with associated confidence bands of the EMU-wide output gap using UC models.     

Rule-of-thumb behaviour and monetary policy

We investigate the implications of rule-of-thumb behaviour by consumers or price setters for optimal monetary policy and simple interest rate rules. This behaviour leads to endogenous persistence in output and inflation and alters the policymaker's welfare objective. Our main finding is that highly inertial policy is optimal regardless of what fraction of agents occasionally follow a rule of thumb. We also find that a first-difference version of Taylor's (Carnegie-Rochester Conf. Ser. Public Policy 39 (1993) 195-214) rule generally has desirable properties. By contrast, the coefficients in other optimised simple rules tend to be extremely sensitive with respect to the fraction of rule-of-thumb behaviour.     

Uncertainty shocks,precautionary pricing,and optimal monetary policy

Existing studies show that, in standard New Keynesian models, uncertainty shocks manifest as cost-push shocks due to the precautionary pricing channel. We study optimal monetary policy in response to uncertainty shocks when the precautionary pricing channel is operative. We show that, in the absence of real imperfections, the optimal monetary policy fully stabilizes the output gap and inflation, implying no policy trade-offs. Our result suggests that precautionary pricing matters only insofar as expected inflation is volatile. Thus, a simple Taylor rule that places high weight on inflation leads to a stabilized output gap, thereby attaining the “divine coincidence”.     

Inflation targeting in a learning economy: An ABM perspective

This paper investigates the performances of an inflation targeting regime in a learning economy framed as an Agent-Based Model (ABM). We keep our ABM as close as possible to the original New Keynesian (NK) model, but we model the individual behaviour of the agents under procedural rationality à la Simon. Accordingly, we assume that their behaviour is guided by simple rules of thumb – or heuristics – while a continuous learning process governs the evolution of those rules. Under these assumptions that also allow the emergence of agents heterogeneity, we analyze the dynamics of the economy without assuming rational expectations, and study the role that a central bank, implementing an inflation targeting regime via a monetary policy rule, can play in the orientation of these dynamics. Consequently, our main goal is to analyse the interplay between the learning mechanisms operating at the individual level and the features and performances of the inflation targeting regime. Our results point to the prime importance of the credibility of central bank's inflation target regarding macroeconomic stabilisation, as well as the beneficial role played by that target as an anchoring device for private inflation expectations. We also establish the potential welfare cost of imperfect public information and contribute to the current debate on optimal monetary policy rules under imperfect common knowledge and uncertainty.     

Real wage rigidities and optimal monetary policy in a small open economy

The main objective of the study is to provide a theoretical analysis of optimal monetary policy in a small open economy where households set real wage in a staggered fashion. The introduction of real wage rigidities plays a important role to resolve main shortcomings of the standard new Keynesian small open economy model. The main findings regarding the issue of monetary policy design can be summarized as three fold. First, the optimal policy is to seek to minimize variance of domestic price inflation, real wage inflation, and the output gap if both domestic price and real wage are sticky. Second, controlling CPI inflation directly or indirectly induces relatively large volatility in output gap and other inflations. Therefore, both CPI inflation-based Taylor rule and nominal wage-inflation based Taylor rule are suboptimal. Last, a policy that responds to a real wage inflation is most desirable.     

MISPERCEPTIONS AND MONETARY POLICY IN A NEW-KEYNESIAN MODEL

This paper studies the consequences for the monetary policy design of information shortages on the part of the private sector. We model these shortages as exogenous shocks to expected income, which through an IS curve, disturb aggregate demand. We constrain policymakers to follow Taylor‐like rules but allow them to optimise coefficients: we find that the presence of misperceptions makes the optimised Taylor rule respond more aggressively to inflation and the output gap. We also find that if the policymaker is uncertain about misperceptions, then it is less costly to assume they are pervasive when they are not than the reverse. In other words, setting policy on the basis that the private sector is subject to misperceptions is a ‘robust’ policy.     

Jointly optimal monetary and fiscal policy rules under liquidity constraints

We study the welfare properties of an economy where both monetary and fiscal policies follow simple rules, and where a subset of agents is liquidity constrained. The welfare benefits of optimizing the fiscal rule are far larger than those of optimizing the monetary rule. The optimized fiscal rule implements strong automatic stabilizers that primarily stabilize the income of liquidity-constrained agents, rather than output. Transfers targeted to liquidity-constrained agents are the preferred fiscal instrument. The optimized monetary rule exhibits super-inertia and a weak inflation response. Optimized simple rules perform as well as the optimal policy under the timeless perspective.