Inflation surprises and inflation expectations in the Euro area

In the second half of 2012, euro area inflation started declining and reached historical lows at the end of 2014. Market-based measures of inflation expectations also declined to unprecedented levels. During this disinflationary period, inflation releases have often surprised analysts on the downside. We provide evidence that inflation ‘surprises’ have significant effects on inflation expectations. The sensitivity of inflation expectations to the surprises, which has varied over time, disappeared after the introduction of the Asset Purchase Programme by the European Central Bank.     

The information content of market-based measures for the long-term inflation expectations of professionals: evidence from a midas analysis

Long-term inflation expectations taken from the Survey of Professional Forecasters are a major source of information for monetary policy. Unfortunately, they are published only on a quarterly basis. This article investigates the daily information content of market-based measures, such as inflation-linked swaps and breakeven inflation rates, for the next survey outcome. Using a mixed data sampling approach, we find that professionals account for the daily dynamics of market-based measures when they submit their long-term inflation expectations. We propose a daily indicator of professionals’ inflation expectations that outperforms alternative indicators that ignore the high-frequency dynamics of market-based measures. To illustrate the usefulness of the new indicator, we provide new evidence on the (re-)anchoring of U.S. inflation expectations.     

Bayesian–Walrasian equilibria: beyond the rational expectations equilibrium

In general rational expectations equilibrium (REE), as introduced in Radner (Econometrica 47:655–678, 1978) in an Arrow–Debreu–McKenzie setting with uncertainty, does not exist. Moreover, it fails to be fully Pareto optimal and incentive compatible and is also not implementable as a perfect Bayesian equilibrium of an extensive form game (Glycopantis et al. in Econ Theory 26:765–791, 2005). The lack of all the above properties is mainly due to the fact that the agents are supposed to predict the equilibrium market clearing price (as agent’s expected maximized utility is conditioned on the information that equilibrium prices reveal), which leads inevitably to the presumption that agents know all the primitives in the economy, i.e., random initial endowments, random utility functions and private information sets. To get around this problematic equilibrium notion, we introduce a new concept called Bayesian–Walrasian equilibrium (BWE) which has Bayesian features. In particular, agents try to predict the market-clearing prices using Bayesian updating and evaluate their consumption in terms of Bayesian price estimates, which are different for each individual. In this framework agents maximize expected utility conditioned on their own private information about the state of nature, subject to a Bayesian estimated budget constraint. Market clearing is not an intrinsic part of the definition of BWE. However, both in the case of perfect foresight and in the case of symmetric information BWE leads to a statewise market clearing; it then becomes an ex post Walrasian equilibrium allocation. This new BWE exists under standard assumptions, in contrast to the REE. In particular, we show that our new BWE exists in the well-known example in Kreps (J Econ Theory 14:32–43, 1977), where REE fails to exist. This work was done in the Spring of 2005, when EJB was a visiting professor at the University of Illinois.     

Rational expectations and fixed-event forecasts: An application to UK inflation

This paper tests a version of the rational expectations hypothesis using ‘fixed-event’ inflation forecasts for the UK. Fixed-event forecasts consist of a panel of forecasts for a set of outturns of a series at varying horizons prior to each outturn. The forecasts are the prediction of fund managers surveyed by Merrill Lynch. Fixed-event forecasts allow tests for whether expectations are unbiased in a similar fashion to the rest of the literature. But they also permit the conduct of particular tests of forecast efficiency - whether the forecasts make best use of available information - that are not possible with rolling-event data. We find evidence of a positive bias in inflation expectations. Evidence for inefficiency is much less clear cut.First version received: June 2002/ Final version received: November 2003We would like two anonymous referees and an editor for comments that have significantly improved the paper. The views expressed in this paper are those of the authors and do not necessarily reflect those of the Bank of England.     

Linear and nonlinear Granger-causality between short-term and long-term interest rates during business cycles

This paper is about the causal relationship between short-term and long-term interest rates in the US and Canada. To that end, we apply a linear Granger causality test introduced by Toda and Yamamoto (1995 Toda, H. Y., and T. Yamamoto. 1995. “Statistical Inference in Vector Autoregressions with Possibly Integrated Processes.” Journal of Econometrics 66 (1–2): 225–250. doi:10.1016/0304-4076(94)01616-8.[Crossref], [Web of Science ®] , [Google Scholar]) and the nonlinear Granger causality test of Diks and Panchenko (2006 Diks, C., and V. Panchenko. 2006. “A New Statistic and Practical Guidelines for Nonparametric Granger Causality Testing.” Journal of Economic Dynamics and Control 30 (9–10): 1647–1669. doi:10.1016/j.jedc.2005.08.008.[Crossref], [Web of Science ®] , [Google Scholar]). By combining linear causality effects with the nonlinear ones, it is seen that the most common Granger causality direction between short-term and long-term interest rates is a bidirectional one. We also find that nonlinear Granger causality can be found where no linear causality had been uncovered. Moreover, our findings show that during recent business cycles, the federal funds rate (in the US) and the overnight rate (in Canada) still Granger-cause long-term interest rates significantly.     

Nominal rigidities, skewness and inflation regimes

The menu-costs model developed by Ball and Mankiw (BM) [Ball, L., Mankiw, N.G., 1994. Asymmetric price adjustment and economic fluctuations. Economic Journal 104 (423), 247–261; Ball, L., Mankiw, N.G., 1995. Relative-Price Changes as Aggregate supply shocks. Quarterly Journal of Economics 110 (1), 161–193] predicts that inflation is positively related to the skewness of price changes distribution. We test this prediction in different inflationary contexts: Spain (1975–2002) and Argentina (1960–1989). We find a positive inflation–skewness relationship in both countries at low inflation, even though the mean annual inflation rates were very different: 2.2% for Spain and 23% for Argentina. Therefore, the threshold of low inflation under which the menu-costs model is suitable is determined endogenously, and it depends on the inflationary experience of each economy. In the higher inflation periods skewness is not significant. Finally, our results suggest that the menu-costs model is not suitable beyond certain threshold of inflation.     

中国通货膨胀预期:理性还是适应性

在介绍我国通胀预期测量与估计方法的基础上,分析差额法、正态分布概率法、均匀分布概率法和Logistic分布概率法下通胀预期的形成机制。研究表明,通胀预期的理性或适应性的判断取决于我国居民对未来物价预期所服从的分布,均匀分布下的通胀预期具有较强的特殊性,并且这种分布直接影响着政策制定部门抑制通胀的侧重方向。     

Information at equilibrium

Summary. In a game with rational expectations, individuals simultaneously refine their information with the information revealed by the strategies of other individuals. At a Nash equilibrium of a game with rational expectations, the information of individuals is essentially symmetric: the same profile of strategies is also an equilibrium of a game with symmetric information; and strategies are common knowledge. If each player has a veto act, which yields a minimum payoff that no other profile of strategies attains, then the veto profile is the only Nash equilibrium, and it is is an equilibrium with rational expectations and essentially symmetric information; which accounts for the impossibility of speculation. Received: June 20, 2001; revised version: January 9, 2002 RID="*" ID="*" We wish to thank Pierpaolo Battigalli, Fran?oise Forges, Franco Donzelli, Leonidas Koutsougeras, Aldo Rustichini, Rajiv Vohra and Nicholas Yannelis for their comments. Correspondence to: H. Polemarchakis     

The Liverpool macroeconomic model of the United Kingdom

The paper describes the Liverpool Model, a rational expectations model of the UK economy used for forecasting since March 1980. The model is of the ‘new classical’ type, in that all markets clear; in the labour market, there is a union sector with one-year nominal wage contracts but the non-union sector clears excess demands. Equilibrium (or ‘natural rate’) values of output, employment, real wages, etc are endogenously determined. In- and out-of-sample errors, a full set of simulations, and a complete listing are included. The interim experience of the model as a test bed for rational expectations methods is ‘far from discouraging’.     

Convergence for difference equations with vanishing time-dependence, with applications to adaptive learning

Summary. We provide conditions for local stability and instability of an equilibrium point in certain systems of nonautonomous nonstochastic difference equations. In the systems under study the influence of time is present through a positive scalar “gain” parameter which converges in the limit to zero. These systems have recently been used to study the dynamics of adaptive learning in economic models, and we provide two economic illustrations of the formal results. Received: October 7, 1997; revised version: February 8, 1999     

Global convergence of adaptive learning in models of pure exchange

Summary. This paper develops an adaptive learning scheme for a standard version of the OLG model with pure exchange. Perfect forecasting rules which generate perfect foresight orbits are approximated by cubic spline functions. These approximations are successively constructed using historical data only. Trajectories generated by this scheme converge to perfect foresight orbits globally for all initial conditions. This result holds for all parameterizations guaranteeing the existence of a monetary steady state and hence is independent of consumers' savings behavior. It generalizes to all one-dimensional models of the Cobweb type. Received: October 5, 2000; revised version: February 15, 2001     

When did inflation expectations in the Euro area de-anchor?

Long-term inflation expectations in the Euro area (EA) remained well anchored during the global financial crisis. Less is known about the following period. By investigating whether inflation expectations have become sensitive to the arrival of economic news, this article empirically analyzes the behavior of inflation expectations in the EA during the most recent period. It finds evidence that the de-anchoring of expectations started in December 2011 and never reversed. This is in line with the more aggressive stance held by the European Central Bank (ECB) in the following months as well as with the pattern of ECB Professional Forecasters’ expectations.     

Econometric policy evaluation and expectations

Recently large-scale econometric models have been criticized as inappropriate tools for policy evaluation. One critical point often mentioned is the way expectations are formed. This paper shows that the way the process of expectations formation is considered does not play a crucial role. Instead, the ability to model agents' reactions to changes in policy is the essence of the critique. As long as government behaviour is sufficiently accessible in the model, applied econometrics may still use large-scale systems for which rational expectations solutions would be troublesome if not impossible to reach.     

Inflation expectations of Brazilian consumers: an analysis based on the FGV survey

ABSTRACT

An accurate assessment of inflation expectations is crucial for the management of monetary policies. However, expectations are not directly observed and are hence normally inferred either from the interest rate structure or from surveys of professional forecasters. Alternatively, a direct measure may be obtained from consumer surveys. The aim of this paper is to study the formation of inflation expectations in Brazil, using a novel dataset based on the FGV/IBRE consumer survey. Basing our model on the rational inattention hypothesis, we find that individual heterogeneity plays a very significant role in shaping individual expectations; also, Brazilians adjust expectations to current inflation and to a fixed reference value, while professional forecasts do not play a very relevant role.     

Economic planning for market economies : The optimality of planning in an economy with uncertainty and asymmetrical information

The paper is based on a disequilibrium model which is Keynesian in the ‘short run’, ie with given expectations, but which admits of a continuum of equilibria when expectations are rational. Expectations are adaptive (so that they are rational only in the long run) but can be influenced by an indicative plan. The government and the private sector have differing information sets, each knowing some things the other sector does not (spontaneously) know. It is shown that in this world, an optimal plan dominates a self-fulfilling plan, which in turn dominates a no-planning equilibrium.