Interest rate rules, inflation and the Taylor principle: an analytical exploration

Summary. The purpose of this article is to characterize optimal interest rate rules in the framework of a dynamic stochastic general equilibrium model, and notably to scrutinize the “Taylor principle”, according to which the nominal interest rate should respond more than one for one to inflation. This model yields explicit solutions for the optimal rule. We find that the elasticity of response depends on numerous factors, such as the degree of price rigidity, the autocorrelation of the underlying shocks, or which measure of inflation is used. In general the optimal elasticity of the interest rate with respect to inflation needs not be greater than one.Received: 6 November 2003, Revised: 17 August 2004 JEL Classification Numbers: E5, E52, E58.J.-P. Bénassy: I wish to thank Daniel Laskar and an anonymous referee for their perceptive comments on earlier drafts of this paper. Of course all remaining deficiencies are mine.     

Inflationary expectations and monetary policy: evidence from Bangladesh

This article first estimates inflationary expectations using a Blanchard–Quah VAR model by decomposing the nominal interest rate into expected inflation and the ex ante real interest rate. Then I utilize this expected inflation along with other macroeconomic variables as inputs to the monetary policy function in a recursive VAR model to identify exogenous policy shocks. To calculate inflationary expectations, I assume that ex ante real interest rate shocks do not have a long-run effect on the nominal interest rate. This article finds that the public expects lower inflation for the future during periods of high inflation. Estimated results from the recursive VAR suggest that a contractionary policy shock increases the real interest rate, appreciates domestic currency, and lowers inflationary expectations and industrial output. However, I find a lagged policy response from Bangladesh Bank to higher inflationary expectations.     

Endogenous Money Supply and the Business Cycle

This paper documents changes in the cyclical behavior of nominal data series that appear after 1979:Q3 when the Federal Reserve implemented a policy to lower the inflation rate. Such changes were not apparent in real variables. A business cycle model with impulses to technology and a role for money is used to show how alternative money supply rules are expected to affect observed business cycle facts. In this model, changes in the money supply rules have almost no effect on the cyclical behavior of real variables, yet have a significant impact on the cyclical nature of nominal variables.Journal of Economic LiteratureClassification Numbers: E32, E42, E50.     

Fractionalization and long-run economic growth: webs and direction of association between the economic and the social -- South Africa as a time series case study

In this paper it is considered that the relationship between nominal exchange rate and prices depends on the nature of the shocks impacting the economy. In order to identify the sources of nominal exchange rate and relative price fluctuations we impose long-run restrictions on the dynamics of these variables through a 2-variable and 3-variable SVAR, respectively. This methodology is applied to data on the Spanish economy and find that supply and real demand shocks move nominal exchange rates and relative prices in opposite directions. Nominal shocks, however, move both variables in the same direction. Thus, in this case, only under nominal shocks may exchange rate depreciations fuel inflation.     

Idiosyncratic and international transmission of shocks in the G7: Does EMU matter?

This paper analyzes the transmission of shocks across the Group of Seven industrialized countries (G7) before and after the introduction of the euro. We estimate global vector autoregressive (VAR) models for different periods to investigate changes in the domestic and international adjustment of macroeconomic variables following supply, demand, and nominal shocks. The shocks are identified with robust sign restrictions, which we derive from a small open economy dynamic stochastic general equilibrium (DSGE) model. Specifically, we analyze the adjustment of output, inflation, and the real effective exchange rate following those shocks. Our results indicate that changes in the adjustment are due to global convergence rather than to regional‐specific convergence.     

The inflationary bias of real uncertainty and the harmonic Fisher equation

Summary. We argue that real uncertainty itself causes long-run nominal inflation. Consider an infinite horizon cash-in-advance economy with a representative agent and real uncertainty, modeled by independent, identically distributed endowments. Suppose the central bank fixes the nominal rate of interest. We show that the equilibrium long-run rate of inflation is strictly higher, on almost every path of endowment realizations, than it would be if the endowments were constant.Indeed, we present an explicit formula for the long-run rate of inflation, based on the famous Fisher equation. The Fisher equation says the short-run rate of inflation should equal the nominal rate of interest less the real rate of interest. The long-run Fisher equation for our stochastic economy is similar, but with the rate of inflation replaced by the harmonic mean of the growth rate of money.Received: 25 February 2005, Revised: 26 May 2005, JEL Classification Numbers: C7, C73, D81, E41, E58.An earlier version of this paper “Inflationary Bias in a Simple Stochastic Economy,” as a 2001 Cowles Foundation Discussion Paper No. 1333.     

Estimating inflation compensation for Turkey using yield curves

Inflation compensation derived from nominal and real bond yields contains market based, real time information regarding the inflation expectations and the pricing of inflation risks. In this study, we calculate inflation compensation for Turkey by using nominal and real yield curves. The findings of event study analysis on inflation compensation indicate that changes in the term structure of inflation compensation contain information regarding the credibility of monetary authority. Moreover, we find that, at daily frequency, liquidity conditions have no significant effect on inflation compensation and hence the effects of events such as monetary policy decisions and inflation surprises on inflation compensation can be attributed mainly to changes in inflation expectations and pricing of inflation uncertainty.     

Endogenous monetary policy and the liquidity effect

We compare the transmission mechanism of exogenous and endogenous monetary policies in a calibrated small open economy model with nominal and real rigidities. Under an exogenous monetary policy rule it takes implausible values of the intertemporal elasticity of substitution and the price adjustment costs to generate the liquidity and overshooting effects. Endogenous rules with strong feedback to inflation and output help to reproduce the response of the nominal interest and exchange rates to unanticipated monetary policy shocks that characterize the transmission mechanism of standard sticky price models. The liquidty and overshooting effects are always obtained when the model is augmented with a Taylor interest rate rule.JEL Classification: E32, E43Javier Andrés acknowledges support of CICYT grant SEC2002-0026. We thank the comments of two anonymous referees and the editor, Jordi Caballé, to an earlier version of the paper. The views expressed here are those of the authors and do not represent the view of the Banco de España.     

IDENTIFYING THE EFFECTS OF SIMULTANEOUS MONETARY POLICY SHOCKS

Many central banks, particularly in the developing world, aim for exchange rate stability as a macroeconomic goal. However, most are reluctant to relinquish monetary policy autonomy, so they end up operating through both interest rate and foreign exchange interventions. But the use of multiple policy instruments does not necessarily equip monetary authorities with better tools to achieve their targets. On the contrary, their effects can potentially offset each other. Using daily data from the Central Bank of Colombia during the period of 1999–2012, I study the effects of simultaneous policies by first deriving new measures of monetary shocks and then determining their impact on economic activity. The main findings indicate that (a) while interest rate interventions have a significant impact on real and nominal variables, foreign exchange interventions tend to have limited effects; and (b) empirical anomalies, such as the positive relationship between output growth, inflation, and the policy rate are eliminated when properly accounting for the systematic responses of policy. (JEL E43, E52, E58, F31)     

Optimal fiscal and monetary policy with sticky wages and sticky prices

We determine the optimal degree of price inflation volatility when nominal wages are sticky and the government uses state-contingent inflation to finance government spending. We address this question in a well-understood Ramsey model of fiscal and monetary policy, in which the benevolent planner has access to labor income taxes, nominally risk-free debt, and money creation. Our main result is that sticky wages alone make price stability optimal in the face of shocks to the government budget, to a degree quantitatively similar as sticky prices alone. Key for our results is an equilibrium restriction between nominal price inflation and nominal wage inflation that holds trivially in a Ramsey model featuring only sticky prices. Our results thus show that when nominal wages are sticky, setting real wages as close as possible to their efficient path is a more important goal of optimal monetary policy than is financing innovations in the government budget via state-contingent inflation. A second important result is that the nominal interest rate can be used to indirectly tax the rents of monopolistic labor suppliers. Taken together, our results uncover features of Ramsey fiscal and monetary policy in the presence of a type of labor market imperfection that is widely-believed to be important.     

Time‐Varying Dynamics of the Norwegian Economy

We use time‐varying parameter vector autoregressive models to investigate possible changes in the time‐series properties of key Norwegian macroeconomic variables since the 1980s. Notably, we find that inflation persistence falls during the inflation targeting period, while the volatility of inflation and nominal exchange rates increases. The observed time‐variation in the correlations between the interest rates and the macro variables largely reflects the prevailing monetary policy regimes. An increase in the correlations between oil prices and other macro variables over time is also documented. Using a counterfactual analysis, we discuss the observed time‐varying dynamics of the Norwegian economy in the light of monetary policy and oil price shocks.     

Mortgage contracts in a general equilibrium model when there are inflation shocks

This paper examines the general equilibrium effects of anticipated and unanticipated inflation shocks when an asset such as housing is financed by long-term contracts. Unlike other analyses of housing and mortgage finance, this model specifies that financial markets are fully integrated. Within a simple three-period overlapping generations model, agents obtain a mortgage in the first period and maximize utility under the constraint that no borrowing for consumption is allowed. Following inflation shocks, transition paths of endogenous interest rates, house prices, and welfare can be traced in simulations of the economy under the assumption of rational expectations. When nominal contracts prevail, an unexpected increase in the inflation rate causes a decline in the real rate of interest, owing to adjustments in the loanable funds market. Thus, real effects emerge even in the absence of tax distortions or explicit modelling of uncertainty. I contrast these real effects, given loans in the form of adjustable rate mortgages, with the absence of such effects when loans are price-level-adjusted mortgages.     

Asymmetric monetary policy and the effective lower bound

We use the canonical New Keynesian model to study optimal discretionary policy when the nominal interest rate is constrained by the effective lower bound (ELB). We show that policymakers who seek to minimize a (symmetric) quadratic loss function involving deviations of inflation and output from targets will achieve an average inflation rate below target due to the contractionary effects associated with hitting the ELB. We also characterize optimal discretionary policy for policymakers who view output losses as asymmetric: they place weight on the output gap when output is below potential but place little or no weight on the gap when output is above potential. In comparison to optimal policy using the symmetric loss function, the average inflation rate is higher and closer to the central banks target. Moreover, in response to contractionary demand shocks that push the nominal interest rate to the effective lower bound, policymakers with an asymmetric loss function adopt a policy rate path that remains at the ELB longer but eventually rises more quickly than the path adopted by a policymaker with a symmetric loss function.     

The changing nature of the real exchange rate: The role of central bank preferences

We investigate the sources of real exchange rate fluctuations. We do so, first, in the context of a DSGE model that explicitly considers the central bank's preferences. Then we estimate SVAR models, where shocks are identified by sign restrictions derived from the DSGE model. We perform this exercise for twelve countries, nine of which have adopted inflation targeting during the period analyzed. In sharp contrast to the previous evidence in the literature, we find that exchange rate (country risk premium) shocks have become the main drivers of real exchange rate dynamics, while real shocks play a less important role. Evidence from the DSGE model reveals that, as the central bank becomes more averse to inflation movements, and cares less about nominal exchange rate fluctuations, the impact of nominal shocks on the real exchange rate tends to increase, while the impact of real shocks decreases. Our results suggest that the adoption of inflation targeting, along with a floating exchange rate, contributes to a shift in the relative importance of demand and country risk premium shocks in determining the RER.     

Monetary policy with sticky prices and segmented markets

Summary. We consider a sticky-price model with segmented asset markets, and examine its implications for monetary policy. Our finding is, first, that the response of the money supply growth rate to a money demand shock required to stabilize inflation is not affected by the existence of a liquidity effect, but the response of the nominal interest rate is. Second, when the monetary authority adopts a Taylor rule, whether or not it should be active to obtain local determinacy of equilibria depends on the existence of a liquidity effect. Our results suggest that the monetary authority should be careful about the existence and the degree of a liquidity effect particularly when the nominal interest rate is used as the policy instrument.Received: 11 February 2004, Revised: 1 November 2004 JEL Classification Numbers: E3, E4, E5.     

零利率下限、货币政策与金融稳定?

文章通过构建包含零利率下限约束的D SGE 模型,系统探讨了存在零利率下限时外生不利冲击对经济的影响。研究结果表明：(1)当名义利率触及零利率下限时,宏观经济和金融体系的不稳定性和脆弱性会显著增加,外生不利冲击对产出、通胀、信贷等经济变量的影响也会明显放大。(2)当存在零利率下限时,传统泰勒规则已无法有效稳定经济,最优的货币政策规则不仅应盯住产出缺口和通胀缺口,还应对资产价格和信贷给予重点关注并做出适度反应。(3)货币政策更适于保持产出缺口和通胀缺口的稳定,但难以有效减缓房价和信贷的波动。只有将逆周期监管的宏观审慎政策和货币政策有效搭配,才能保证经济系统和金融系统的全面稳定。为了应对不利冲击,我国应进一步完善宏观审慎监管框架,并将其与货币政策有效搭配以保持宏观经济的全面稳定。     

MONETARY POLICY UNCERTAINTY AND ECONOMIC FLUCTUATIONS

We investigate the relationship between uncertainty about monetary policy and its transmission mechanism, and economic fluctuations. We propose a new term structure model where the second moments of macroeconomic variables and yields can have a first‐order effect on their dynamics. The data favor a model with two unspanned volatility factors that capture uncertainty about monetary policy and the term premium. Uncertainty contributes negatively to economic activity. Two dimensions of uncertainty react in opposite directions to a shock to the real economy, and the response of inflation to uncertainty shocks varies across different historical episodes.     

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.     

On the sources of macroeconomic stability in the euro area

In the mid-1990s the euro area experienced a change in macroeconomic volatility. Around the same time, at business cycle frequencies the correlation between inflation and money growth changed markedly, turning from positive to negative. Distinguishing the periods pre- and post-1994, we estimate a dynamic stochastic general equilibrium model with money for the euro area. The model accounts for the salient facts. We then perform several counterfactual exercises to assess the drivers of these phenomena. The moderation of real variables was essentially due to relatively smaller shocks to investment, wage markups and preferences. The apparent lack of evidence for the quantity theory of money in the short run and the changes in the volatility of nominal variables resulted primarily from a more anti-inflationary and gradual monetary policy.     

Monetary transmission mechanisms in a small open economy: a Bayesian structural VAR approach

Abstract This paper develops a Bayesian structural VAR model for Canada in order to estimate the effects of monetary policy shocks, using the overnight rate target as the policy instrument. I allow the policy variable and other home and foreign variables to interact with each other contemporaneously. The key finding is that monetary policy affects the real economy through both the market interest rate and the exchange rate. I also find that the Bank of Canada responds to any home and foreign variables that embodies information about future inflation and that external shocks are an important source of output fluctuations.