The natural rate of interest and the output gap in the euro area: a joint estimation

The notion of a natural real rate of interest, due to Wicksell (Interest and prices. Macmillan, London Translation of 1898 edition, 1936), is widely used in current central bank research. The idea is that there exists a level at which the real interest rate would be compatible with output at its potential level and stationary inflation. Such a concept is of primary concern for monetary policy because it provides a benchmark for the monetary policy stance. This paper applies the method suggested by Laubach and Williams (Rev Econ Stat 85(4):1063–1070, 2003) to jointly estimate the natural real interest rate and the output gap in the euro area using data from 1960 onwards. Our results suggest that the natural real rate of interest has declined gradually over the past 40 years. They also indicate that monetary policy in the euro area was on average stimulative during the 1960s and the 1970s, while it contributed to dampen the output gap and inflation in the 1980s and 1990s. The views expressed in this paper are those of the authors and do not necessarily reflect the opinions of the institutions to which they are affiliated. We are grateful to Siem Jan Koopman for very helpful suggestions and comments. We also thank P. Cour-Thimann, V. Curdia, F. Drudi, S. McCaw, D. Rodriguez-Palenzuela, R. Pilegaard, H. Pill, L. Stracca, T. Laubach, J. C. Williams and the participants of an ECB workshop on natural interest rates.     

Is the monetary policy rule responsive to exchange rate changes? The case of Indonesia,Malaysia, the Philippines,and Thailand

Extending Obstfeld and Rogoff (J Econ Perspect 9:73–96, 1995), Ball (Monetary policy rules, University of Chicago Press, pp. 127–144, 1999), Svensson (J Int Econ 50: 155–183, 2000), Taylor (Am Econ Rev 91: 263–267, 2001), Gali and Gertler (J Econ Perspect 21:25–46, 2007), and others, this paper finds that central banks in the Philippines and Thailand respond negatively to the current real exchange rate and positively to the lagged real exchange rate whereas central banks in Indonesia and Malaysia do not react to the current or lagged real exchange rate. For the Philippines and Thailand, the null hypothesis that the sum of the coefficients of the current and lagged real exchange rates is zero cannot be rejected at the 5% level. Central banks in these four countries respond positively to the inflation rate and the output gap, suggesting that the concept of a simple or an extended Taylor rule would apply to these countries. Monetary policy reaction functions for Indonesia and Thailand are steeper than those for Malaysia and the Philippines and would be more responsive to a change in the inflation rate.      

Inflation and output in the long and short run in Turkey

This paper firstly discusses the impact of inflation on real output in different theoretical models and then investigates this impact empirically in an economy facing persistent high inflation. We find some evidence of Sidrauski’s (Am Econ Rev 57:534–544, 1967) superneutrality of money for Turkey in the long run. However, it seems that inflation affects real output negatively in the short run. These results are more compatible with a class of utility functions in which real money balances and consumption are perfect complements as Asako (Econometrica 51(5):1593–1596, 1983) elucidates.     

Output gap measurement and the New Keynesian Phillips curve for China

The New Keynesian Phillips curve implies that the output gap, the deviation of the actual output from its natural level due to nominal rigidities, drives the dynamics of inflation relative to expected inflation and lagged inflation. This paper exploits the empirical success of the New Keynesian Phillips curve in explaining China's inflation dynamics with a new measure of the output gap. We estimate the output gap using the Bayesian multivariate Beveridge–Nelson decomposition method, based on a multivariate dynamic model featuring distinct interactions among inflation, money, and real output in China. The empirical results using quarterly data spanning 1979–2010 show that the new measure of the output gap outperforms the traditional measures in fitting the New Keynesian Phillips curve. This result provides useful insights for inflation dynamics and monetary policy analysis in China.     

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.     

A classroom experiment in monetary policy

The authors propose a classroom experiment implementing a simple version of a New Keynesian model suitable for courses in intermediate macroeconomics and money and banking. Students play as either the central bank or members of the private sector. The central banker sets interest rates to meet twin objectives for inflation and the output gap or to meet only an inflation target. In both settings, private sector agents are concerned with correctly forecasting the inflation rate. The authors show that an experiment implementing this setup is feasible and yields results that enhance understanding of the New Keynesian model of monetary policy. They propose alternative versions where the central bank is replaced by a policy rule and provide suggestions for discussing the experimental results with students.     

On locally optimal programs in the Robinson–Solow–Srinivasan model

In the context of a model due to Robinson, Solow and Srinivasan (the RSS model), we report results on the existence and characterization of locally optimal programs, a concept taken from theoretical physics. In particular, we propose a (new) transversality condition under which all locally optimal programs are good. An extended introduction places our theorems in the context of previous work on the existence question, including that on agreeable programs. It appears that there is no completely rational way to attack [the] problem without considering development programmes over an infinite horizon (Gale in Rev Econ Stud 34:1–8, 1967). The analysis of simple models is essential if we are to understand the corresponding situation for more complex models of the economy (Mirrlees and Stern in J Econ Theory 4:268–288, 1972). The technical convenience, for clear and quantitative results, of using an infinite time horizon is rather great (Hammond and Mirrlees in Models of economic growth, Wiley, New York, pp 283–299, 1973).     

A small New Keynesian state space model of the Australian economy

Using a small New Keynesian state space macroeconomic model, we apply maximum likelihood estimation and the Kalman filter to obtain joint estimates of the unobservable medium-run paths of potential output and its normal rate of growth, the NAIRU, the neutral real interest rate and the subjective discount factor for Australia from 1984Q1 to 2006Q4. Using the estimated model we obtain dynamic forecasts for output, unemployment, and inflation to compare with the actual data from 2007Q1 to 2008Q4. Combining the estimated model with a monetary policy rule, we examine impulse responses of inflation and the output and unemployment gaps to shocks associated with the global financial crisis of 2008.     

Does monetary policy affect the long-run expectations of non-stationary real interest rates?

In this article, we analyse whether the monetary policy affects the long-run expectation of the non-stationary real interest rate. The analysis is conducted through Beveridge–Nelson trend decomposition within a cointegrated vector autoregressive model based on the New Keynesian framework. We suggest an augmented test of the conventional co-integration test on the non-stationarity of the real interest rate, which checks whether the co-integration coefficient of inflation is one and the output gap affects the co-integration equilibrium of the nominal interest rate. We further suggest decomposing the long-run expectation of the non-stationary real interest rate into three trends: the interest rate shock (including the monetary shock), inflation shock and output gap shock. According to empirical analyses using monthly US data after the Korean War, the long-run expectation of the non-stationary real interest rate contains an interest rate shock trend and the impulse of the federal fund target rate induces a significant response of the interest rate shock trend. However, the interest rate shock trend has a very small portion of the long-run expectation of the non-stationary real interest rate, which may explain why the monetary policy was not particularly effective in the economic recovery after the global financial crisis.     

Does the term spread play a role in the fed funds rate reaction function? An empirical investigation

Using US data for the period 1967:5-2002:4 this paper empirically investigates the performance of a Fed funds rate reaction function (from now on, FRF) that (i) allows for the presence of switching regimes; (ii) considers the long–short term spread in addition to the typical variables; and (iii) uses an alternative monthly indicator of general economic activity suggested by Stock and Watson (J Monet Econ 44:293–335, 1999). The estimation results show the existence of three switching regimes, two characterized by low volatility and the third by high volatility. Moreover, the scale of the responses of the Federal funds rate to movements in the rate of inflation and the economic activity index depends on the regime. The estimation results also show robust empirical evidence that the importance of the term spread in the FRF has increased over the sample period and the FRF was more stable during the term of office of Chairman Greenspan than in the pre-Greenspan period.      

基于新凯恩斯混合菲利普斯曲线的中国货币状况指数构建及其应用

实证研究表明,我国的菲利普斯曲线是一条兼顾前瞻性和后顾性的新凯恩斯混合型菲利普斯曲线。有鉴于此,本文通过构建一个新凯恩混合斯菲利普斯曲线方程来估计中国MCI的权重。对这一新凯恩斯菲利普斯曲线方程的GMM估计结果表明,中国MCI三个要素（利率、汇率和货币供应量）的权重比例为1：9.8：35.1。分析显示我们构建的MCI指数走势很好地对应了中国通货膨胀的反向运动。进一步的计量和统计分析表明,我们构建的MCI指数不但可以作为中国货币政策的信息指示器,还是一个潜在的货币政策操作目标变量,但还不足以用作诸如BT型和Ball型等形式的货币政策规则。     

International Environmental Agreements as Evolutionary Games

This paper applies evolutionary game theory to international environmental agreements (IEAs). Contrary to stage game models (Barrett in J Theor Politics 11:519–541, 1999, Eur Econ Rev 45:1835–1850, 2001), in an evolutionary equilibrium (EE) no signatory prefers to be outside the IEA and the EE is robust to trembles. With two populations, there is a unique interior EE when there is decreasing returns to abatement and small asymmetry in the externality differences across populations. At the interior EE, transfers from the poor to the rich can increase payoffs for all nations, but come at the expense of greater payoff inequality. Transfers can also eliminate the basin of attraction for the payoff inferior EE with decreasing returns to abatement and large asymmetry. Thus IEAs, such as the Kyoto Treaty, predicated on the polluter-pays and ability-to-pay principles may result in Pareto inferior outcomes.     

Risk aversion in the Eurozone

We propose a New Keynesian Dynamic Stochastic General Equilibrium (DSGE) model where a risk aversion shock enters a separable utility function. We analyze five periods from 1971 through 2011, each lasting for 20 years, to follow over time the dynamics of several parameters such as the risk aversion parameter; the Taylor rule coefficients; and the role of the risk aversion shock in output, inflation, interest rate, and real money balances in the Eurozone. Our analysis suggests that risk aversion was a more important component of output and real money balance dynamics between 2006 and 2011 than it was between 1971 and 2006, at least in the short run.     

Unemployment durations and the pattern of duration dependence over the business cycle of British males

This paper examines the relationship between the business cycle and individuals’ duration in unemployment. I use multi-spell unemployment duration data of British males and monthly series of regional vacancies over unemployment, referred to as labour market tightness, to control for the business cycle. In line with most previous studies I find that the observed negative duration dependence on an aggregate level is explained by both sorting and strong negative individual duration dependence, and that the individual hazard of leaving unemployment increases with labour market tightness. The new empirical findings emerge from the interactions between individual duration dependence and the business cycle. Individual heterogeneity, and in particular the variation over the business cycle in the composition of the newly unemployed, explains most of the systematic variation over the business cycle in duration dependence on an aggregate level. Individual duration dependence does not vary over the business cycle in a way that would lend support to the predictions concerning this of the matching model of Lockwood (Rev Econ Stud 58:733–753, 1991) or the ranking model of Blanchard and Diamond (Rev Econ Stud 61:417–434, 1994).     

What do Latin American inflation targeters care about? A comparative Bayesian estimation of central bank preferences

This paper employs Bayesian estimation to uncover the central bank preferences of the five Latin American inflation targeting countries with floating exchange rates: Brazil, Chile, Colombia, Mexico, and Peru. The target weights of each country’s central bank loss function are estimated using a medium-scale small open economy New Keynesian model with imperfect exchange-rate pass-through under either complete or incomplete international asset markets. Bayesian model comparison selects: (i) unambiguously the complete markets model version; (ii) the model specification with explicit concern for real exchange rate stabilization, with the exception of Peru. Our results suggest that the central banks of Mexico and Peru are closest to following a strict inflation targeting regime, whereas Brazil, Chile, and Colombia also assign a sizeable weight to output gap and real exchange rate stabilization. Finally, the estimated preference weights for each central bank are shown to credibly reflect their legal mandates.     

Inflation targets and endogenous wage markups in a New Keynesian model

Empirical contributions show that wage re-negotiations take place while expiring contracts are still in place. This is captured by assuming that nominal wages are pre-determined. As a consequence, wage setters act as Stackelberg leaders, whereas in the typical New Keynesian model the wage-setting rule implies that they play a Nash game. We present a DSGE New Keynesian model with pre-determined wages and money entering the representative household’s utility function and show how these assumptions are sufficient to identify an inverse relationship between the inflation target and the wage markup (and thus employment) both in the short and the long run. This is due to the complementary effects that wage claims and the inflation target have on money holdings. Model estimates suggest that a moderate long-run inflation rate generates non-negligible output gains.     

Optimal pricing of a two-sided monopoly platform with a one-sided congestion effect

This paper studies the optimal pricing of a two-sided monopoly platform when one side is affected by congestion. We show that the divide-and-conquer pricing strategy (or skewed pricing) depends not only on the relative magnitude of the sides’ price elasticities of demand but it also depends on the marginal congestion cost that an agent imposes on the others. Compared with the no-congestion case, this pricing strategy gives rise to some interesting features that violate the results of Rochet and Tirole (J Eur Econ Assoc 1:990–1029 in 2003, Rand J Econ 37:645–667 in 2006). In the case of equal price elasticities of demand, the no-congested side is charged the highest price. On the other hand, in the case of different price elasticities, the platform congestion pricing depends on a certain threshold of the marginal congestion cost. We show, under some conditions, that the divide-and-conquer pricing strategy is reversed. In the social context, the Rochet and Tirole’s (J Eur Econ Assoc 1:990–1029 in 2003) cost allocation condition is modified by the congestion cost. We show that the congestion does not only affect the buyers’ contribution to the sellers’ surplus, but it also affects the sellers’ contribution to the buyers’.     

Monetary policy strategies in the New Normal: A model-based analysis for the euro area

A calibrated New Keynesian model of the euro area is used to evaluate the stabilization properties of alternative monetary policy strategies when the natural rate of interest is low (“new normal”) and the probability of reaching the effective lower bound (ELB) is non-negligible. Price level targeting is the most effective strategy in terms of stabilizing inflation and output and reducing the duration and frequency of ELB episodes. Temporary price level targeting is also effective in mitigating the ELB constraint, although its stabilization properties are inferior to those of price level targeting. Backward-looking average inflation targeting performs well and is preferable to inflation targeting. The effectiveness of these alternative strategies hinges upon the commitment of a central bank to keeping the policy rate “lower for longer” and is influenced by agents’ expectation formation mechanism.     

Fiscal shocks, output dynamics and macroeconomic stability: an empirical assessment for Austria (1983–2002)

We investigate the dynamic effects of discretionary fiscal policy in Austria over the period 1983:1 to 2002:4. A structural vector autoregressive (VAR) analysis, using the identification strategy suggested by Blanchard and Perotti (2002, Q J Econ 117(4):1329–1368), suggests that tax shocks have a negative effect on output, consumption, and investment. Spending shocks have a positive effect but are crowded out to a large extent after a few years. We then estimate ARCH models for output growth and inflation with the fiscal shocks included as explanatory variable in the variance equation. In line with recent cross-country studies there is evidence for a destabilizing role of discretionary fiscal policy.     

The Bank Lending Channel and Monetary Policy Rules: Evidence from European Banks

There exist two main channels of the monetary transmission mechanism: the interest rate and the bank lending channel. This paper focuses on the latter, which is based on the central bank’s actions that affect loan supply and real spending. The supply of loans depends on the monetary policy indicator, which, in most studies, is the real short-term interest rate. The question investigated in this paper is how the operation of the bank lending channel changes when this short-term indicator is allowed to be endogenously determined by the target rate the central bank sets through a monetary rule. We examine the effect that a rule has on the bank lending channel in European banking institutions spanning the period 1999–2009. The expectations concerning inflation and output affect the decision of the central bank for the target rate, which, in turn, affect private sector’s expectations —commercial banks— by altering their loan supply.