multiple solution indeterminacies in monetary policy analysis abstract a sizeable fraction of recent research on monetary policy has been concerned with issues relating to analytical indeterminacies i e multiple solutions in rational expectations re models most of the literature features sophisticated re analysis conducted within dynamic models that reflect optimizing behavior by individual agents and incorporate taylor style policy rules a few papers have suggested that some of the particular indeterminacy arguments are misleading or irrelevant for the most part however there has been little dissent from the position that these indeterminacies present a genuine problem for monetary policy makers the purpose of the present paper by contrast is to argue that conclusions based on multiple solution indeterminacy findings are of dubious merit rather generally

learnability and equilibrium selection under indeterminacy abstract this paper presents an equilibrium selection procedure for linear rational expectations models under equilibrium indeterminacy in the procedure a specific equilibrium is chosen such that the perceived law of motion for agents with adaptive learning rules converges to the particular solution the procedure is applicable only under empirically implausible parameter settings if the agents perceive fundamental shock processes completely however if they misperceive the fundamental shocks in some degree the procedure works under plausible parameters it is also demonstrated that the selected particular solution exhibits different dynamics from that under the assumption often made in the literature

ppp exchange rate rules macroeconomic in stability and learning in order to maintain competitiveness governments in developing economies seem to have pursued purchasing power parity ppp exchange rate rules by adjusting the nominal devaluation rate in response to real exchange rate deviations from an intermediate target this article shows that these rules are likely to induce macroeconomic instability as they generate sunspot driven fluctuations that are in fact learnable by agents in the expectational stability sense it finds that the existence of these learnable sunspots depends among others on open economy features including the degree of openness and the degree of exchange rate pass through to consumer s import prices

dynamic predictor selection in a new keynesian model with heterogeneous expectations abstract this paper introduces dynamic predictor selection into a new keynesian model with heterogeneous expectations and examines its implications for monetary policy we extend branch and mcgough 2009 by incorporating endogenous time varying predictor proportions along the lines of brock and hommes 1997 we find that periodic orbits and complex dynamics may arise even if the model under rational expectations has a unique stationary solution the qualitative nature of the non linear dynamics turns on the interaction between hawkishness of the government s policy and the extrapolative behavior of non rational agents

optimal constrained interest rate rules we show that if policymakers compute the optimal unconstrained interest rate rule within a taylor type class they may be led to rules that generate indeterminacy and or instability under learning this problem is compounded by uncertainty about structural parameters since an optimal rule that is determinate and stable under learning for one calibration may be indeterminate or unstable under learning under a different calibration we advocate a procedure in which policymakers restrict attention to rules constrained to lie in the determinate learnable region for all plausible calibrations and that minimize the expected loss computed using structural parameter priors subject to this constraint

chaotic interest rate rules a growing empirical and theoretical literature argues in favor of specifying monetary policy in the form of taylor type interest rate feedback rules that is rules whereby the nominal interest rate is set as an increasing function of inflation with a slope greater than one around an intended inflation target this paper shows that such rules can easily lead to chaotic dynamics the result is obtained for feedback rules that depend on contemporaneous or expected future inflation the existence of chaotic dynamics is established analytically and numerically in the context of calibrated economies the battery of fiscal policies that has recently been advocated for avoiding global indeterminacy induced by taylor type interest rate rules such as liquidity traps are shown to be unlikely to provide a remedy for the complex dynamics characterized in this paper

performance of monetary policy with internal central bank forecasting abstract recent models of monetary policy have analyzed the desirability of different optimal and ad hoc interest rules under the restrictive assumption that forecasts of the private sector and the central bank are homogeneous this paper studies the implications of heterogeneity in forecasting by the central bank and private agents for the performance of interest rules in a framework of econometric learning

learning convergence and stability with multiple rational expectations equilibria abstract for a linear model with multiple rational expectations equilibria ree we discuss the set of possible ree solutions include i locally unique minimal state variable solutions taking an ar 1 form and ii continua of solutions which may depend on sunspots we analyze the convergence of econometric learning to the different ree there exist cases with more than one stable ar 1 solution it is also possible for a continuum of solutions to be stable but this property is not robust to overparametrization an application is developed and it is suggested that the exhibited phenomena may arise in applied macroeconomic models

economy wide estimates of energy rebound effect evidence from china s provinces abstract the ongoing debate on the magnitude of china s economy wide energy rebound effect re entails further investigations not only with more details but also with more credible methods in this study a modified two stage approach which could avoid methodological issues regarding re estimation is applied to estimate macroeconomic re with a data panel of 30 provinces in china during the period 1997 2015 in particular in order to comprehensively measure energy efficiency we construct a dynamic energy efficiency indicator which considers not only the static efficiency of energy use but also the technical change regarding energy usage using dynamic panel data models we estimate the elasticity of energy consumption with respect to energy efficiency which directly links to the measurement of re the short run and long run estimates of re are reported and the 95 confidence interval was computed for each sample based on the nonparametric bootstrap method to further analyze the macroeconomic re of different regions results indicate that the average re of all provinces is 88 55 in the short run and the average long run re is 77 50 the re in the developed eastern region continuously decreased while re in the western region increased to be the largest during the research period

the energy rebound effect in china s light industry a translog cost function approach abstract china is in its industrialization and urbanization development stage which requires strong energy support with the largest population in the world the energy endowment of china is relatively small therefore energy conservation is one of the key tools for china s sustainable development and energy security when making policies for conservation the chinese government needs to deal with rebound effect carefully in 2012 china s light industry consumed 316 million tons of coal equivalents accounting for 9 percent of the country s total energy consumption which is about the total amount of energy consumed by south korea based on the translog cost function the magnitude of rebound effect in china s light industry is estimated for the first time using the dynamic ordinary least squares and seemingly unrelated regression methods considering the asymmetric effects of energy prices on energy consumption the rebound effect is approximately 37 7 and all the inputs are substitutes except for labor and energy the different magnitude of rebound effect between light and heavy industry is discussed and some policy implications are provided for more effective energy conservation allowing for the rebound effect

the fragility of sunspots and bubbles abstract expectational stability e stability is used to examine the multiplicity of solutions in a range of rational expectations models of interest including muth s inventory model and an overlapping generations model in these model it is found that sunspot and other rational bubble solutions are either e unstable or weakly but not strongly e stable

expectations and the stability problem for optimal monetary policies eine auf den fundamentaldaten beruhende regelbindung der geldpolitik ohne selbstverpflichtung die bei vollkommen rationalen erwartungen der privaten akteure optimal ware ist instabil wenn diese akteure de facto den ublichen regeln des adaptiven lernens folgen dieses problem lasst sich dadurch beheben dass die erwartungen privater akteure berucksichtigt und in geeigneter weise in die optimale geldpolitik einbezogen werden diese eindeutige schlusfolgerung gilt auch dann wenn sich der geldpolitische entscheidungstrager und die privaten akteure in einem simultanen lernprozess befinden unsere ergebnisse zeigen wie wichtig es ist die geldpolitik angemessen zu gestalten und dabei nicht nur die fundamentaldaten sondern auch direkt die beobachteten erwartungen privater haushalte und unternehmen zu berucksichtigen

monetary policy and learning from the central bank s forecast abstract we examine the expectational stability e stability of rational expectations equilibrium ree in a standard new keynesian model in which private agents refer to the central bank s forecast in the process of adaptive learning to satisfy the e stability condition in this environment the central bank must respond more strongly to the expected inflation rate than the extent to which the taylor principle suggests however the central bank s strong reaction to the expected inflation rate raises the possibility of indeterminacy of the ree in considering these problems a robust policy requires responding to the current inflation rate to a certain degree

investment interest rate policy and equilibrium stability abstract carlstrom and fuerst 2005 investment and interest rate policy a discrete time analysis journal of economic theory 123 4 20 show that in the presence of investment activity and price stickiness indeterminacy of equilibrium is induced by forward looking monetary policy that sets the interest rate in response only to future inflation in a stochastic version of their model we find that this indeterminacy problem is due to a cost channel of monetary policy whereby inflation expectations become self fulfilling and the problem can be overcome once the forward looking policy responds also to current output or contains sufficiently strong interest rate smoothing since this prevents the self fulfilling expectations we also show that when e stability is adopted as the selection criterion from multiple equilibria even the forward looking policy generates a locally unique non explosive e stable fundamental rational expectations equilibrium as long as the policy response to expected future inflation is sufficiently strong

inflation targeting as a monetary policy rule the purpose of the paper is to survey and discuss in ation targeting in the context of monetary policy rules the paper provides a general conceptual discussion of monetary policy rules attempts to clarify the essential characteristics of in ation targeting compares in ation targeting to other monetary policy rules and draws some conclusions for the monetary policy of the european system of central banks jel classi cation e42 e52

the value of interest rate stabilization policies when agents are learning we examine the expectational stability e stability of rational expectations equilibrium under optimal interest rate rules in the context of the standard new keynesian model of the monetary transmission mechanism we focus on the case where the monetary authority adds interest rate stabilization to its other objectives of inflation and output stabilization we consider both the case where the monetary authority lacks a commitment technology and as well as the case of full commitment we show that for both cases optimal interest rate rules yield rational expectations equilibria that are e stable for a wide range of empirically plausible parameter values this finding stands in contrast to the findings of evans and honkapohja 2002 2003ab for optimal monetary policy rules in environments where interest rate stabilization is not part of the central bank s objective function

performance of inflation targeting based on constant interest rate projections monetary policy is sometimes formulated in terms of a target level of inflation a fixed time horizon and a constant interest rate that is anticipated to achieve the target at the specified horizon these requirements lead to constant interest rate cir instrument rules using the standard new keynesian model it is shown that some forms of cir policy lead to both indeterminacy of equilibria and instability under adaptive learning however some other forms of cir policy perform better we also examine the properties of the different policy rules in the presence of inertial demand and price behaviour

worldwide macroeconomic stability and monetary policy rules we study the interaction of multiple large economies in dynamic stochastic general equilibrium each economy has a monetary policymaker that attempts to control the economy through the use of a linear nominal interest rate feedback rule we show how the determinacy of worldwide equilibrium depends on the joint behavior of policymakers worldwide we also show how indeterminacy exposes all economies to endogenous volatility even ones where monetary policy may be judged appropriate from a closed economy perspective we construct and discuss two quantitative cases in the 1970s worldwide equilibrium was characterized by a two dimensional indeterminacy despite u s adherence to a version of the taylor principle in the last 15 years worldwide equilibrium was still characterized by a one dimensional indeterminacy leaving all economies exposed to endogenous volatility our analysis provides a rationale for a type of international policy coordination and the gains to coordination in the sense of avoiding indeterminacy may be large

the quest for prosperity without inflation abstract in recent years activist monetary policy rules responding to inflation and the level of economic activity have been advanced as a means of achieving effective output stabilization without inflation advocates of such policies suggest that their flexibility may yield substantial stabilization benefits while avoiding the excesses of overzealous discretionary fine tuning such as is thought to characterize the experience of the 1960s and 1970s in this study i present evidence suggesting that these conclusions are misguided using an estimated model i show that when informational limitations are properly accounted for activist policies would not have averted the great inflation but instead would have resulted in worse macroeconomic performance than the actual historical experience the problem can be attributed in large part to the counterproductive reliance of these policies on the output gap the analysis suggests that the dismal economic outcomes of the great inflation may have resulted from an unfortunate pursuit of activist policies in the face of bad measurement specifically overoptimistic assessments of the output gap associated with the productivity slowdown of the late 1960s and early 1970s

adjustment costs learning and indeterminacy abstract i compare the adjustment cost and learning approaches to resolving indeterminacy of perfect foresight equilibrium in a continuous time model with local indeterminacy rapid learning tends to select different perfect foresight equilibria of the original model than does the inclusion of vanishing adjustment costs this difference has implications for the dynamic response of the economy to unanticipated shocks

learning about monetary policy rules abstract we study macroeconomic systems with forward looking private sector agents and a monetary authority that is trying to control the economy through the use of a linear policy feedback rule we use stability under recursive learning a la evans and honkapohja learning and expectations in macroeconomics princeton university press princeton new jersey 2001 as a criterion for evaluating monetary policy rules in this context we find that considering learning can alter the evaluation of alternative policy rules

learning about monetary policy rules when labor market search and matching frictions matter abstract this paper examines the implications of labor market search and matching frictions for determinacy and e stability of rational expectations equilibrium ree in a sticky price model with interest rate policy when labor adjustment takes place solely at the extensive margin forecast based policy that meets the taylor principle is likely to induce indeterminacy and e instability regardless of whether it is strictly or flexibly inflation targeting when labor adjustment takes place at both the extensive and intensive margins the strictly inflation forecast targeting policy remains likely to induce indeterminacy but it generates a unique e stable fundamental ree as long as the taylor principle is satisfied therefore the presence of search and matching frictions changes the determinacy properties of a strictly inflation forecast targeting policy and alters its e stability properties when only an extensive margin is present but not when labor adjustment takes place at both margins

inflation forecasts and monetary policy proposals for inflation targeting as a strategy for monetary policy leave open the important operational question of how to determine whether current policies are consistent with the long run inflation target an interesting possibility is that the central bank might target current private sector forecasts of inflation either those made explicitly by professional forecasters or those implicit in asset prices we address the issue of existence and uniqueness of rational expectations equilibria when the central bank uses private sector forecasts as a guide to policy actions in a dynamic model which incorporates both sluggish price adjustment and shocks to aggregate demand and aggregate supply we show that strict targeting of inflation forecasts is typically inconsistent with the existence of rational expectations equilibrium and that policies approximating strict inflation forecast targeting are likely to have undesirable properties we also show that economies with more general forecast based policy rules are particularly susceptible to indeterminacy of rational expectations equilibria we conclude that although private sector forecasts may contain information useful to the central bank ultimately the monetary authorities must rely on an explicit structural model of the economy to guide their policy decisions this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item

inflation determination with taylor rules is new keynesian analysis critically flawed abstract cochrane 2007 has strongly questioned the basic economic logic of current monetary policy analysis arguing that new keynesian nk models imply rational expectations paths with explosive inflation that do not imply explosions in real variables relevant for transversality conditions consequently the usual logic does not rule out solutions with explosive inflation that result does not however justify negative conclusions about nk analysis for a different criterion is logically satisfactory it is that to be plausible a re solution must satisfy the property of least squares learnability adoption of this criterion serves to justify in principle the bulk of current mainstream analysis

measuring energy rebound effect in the chinese economy an economic accounting approach estimating the magnitude of china s economy wide rebound effect has attracted much attention in recent years most existing studies measure the rebound effect through the additional energy consumption from technological progress however in general technological progress is not equivalent to energy efficiency improvement consequently their estimation may be misleading to overcome the limitation this paper develops an alternative approach for estimating energy rebound effect based on the proposed approach china s economy wide energy rebound effect is revisited the empirical result shows that during the period 1981 2011 the rebound effects in china are between 30 and 40 with an average value of 34 3

learning in a misspecified multivariate self referential linear stochastic model this paper introduces a general method to study stability under learning of equilibria resulting from agents with misspeci ed perceptions of the law of motion of the economy this is done by transforming the actual and perceived laws of motion into the form of seemingly unrelated regressions and then linearly projecting the actual law of motion into the same class as the perceived law of motion i study the new keynesian is lm model with inertia under all possible classes of restricted perceptions it turns out that the results found in bullard and mitra 2002 2003 are robust under misspeci ed expectations

adaptive learning forecast based instrument rules and monetary policy abstract 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

desirability of nominal gdp targeting under adaptive learning nominal gdp targeting has been advocated by a number of authors since it produces relative stability of inflation and output however all of the papers assume rational expectations on the part of private agents in this paper i provide an analysis of this assumption i use stability under recursive learning as a criterion for evaluating nominal gdp targeting in the context of a model with explicit micro foundations which is currently the workhorse for the analysis of monetary policy

trend inflation sticky prices and expectational stability abstract micro evidence indicates that each period a fraction of prices is kept unchanged under a positive trend inflation rate in a sticky price model based on this evidence recent research shows that high trend inflation is a serious cause for indeterminacy of rational expectations equilibrium under the taylor rule this paper examines implications of trend inflation for expectational stability of the equilibrium an empirically plausible calibration of the model demonstrates that a fundamental rational expectations equilibrium is likely to be expectationally stable even in cases of indeterminacy induced by high trend inflation

a new keynesian model with heterogeneous expectations abstract within a new keynesian model we incorporate bounded rationality at the individual agent level and we determine restrictions on expectations operators sufficient to imply aggregate is and as relations of the same functional form as those under rationality this result provides dual implications the strong nature of the restrictions required to achieve aggregation serve as a caution to researchers imposing heterogeneous expectations at an aggregate level may be ill advised on the other hand accepting the necessary restrictions provides for tractable analysis of expectations heterogeneity as an example we consider a case where a fraction of agents are rational and the remainder are adaptive and find specifications that are determinate under rationality may possess multiple equilibria in case of expectations heterogeneity

monetary policy and stable indeterminacy with inertia abstract we examine existence and stability under learning of sunspot equilibria in a new keynesian model incorporating inertia indeterminacy remains prevalent stable sunspots abound and inertia in is and aggregate supply as relations do not significantly impact the policy region containing stable sunspots

learning about monetary policy rules when the housing market matters abstract in this paper we study a general equilibrium model with a housing market and use stability under adaptive learning as a criterion to evaluate monetary policy rules an important feature of the model is that there exist credit constrained borrowers who use their housing assets as collateral to finance purchases we evaluate both conventional taylor rules and rules that incorporate other targets such as housing prices we find that the effect of responding to housing prices in addition to output and inflation depends critically on the assumed information structure of the economy

fundamentalists vs chartists learning and predictor choice dynamics abstract in a simple forward looking univariate model of price determination we investigate the evolution of expectations dynamics in the presence of two types of agents fundamentalists and chartists in particular we combine evolutionary selection among heterogeneous classes of models through predictor choice dynamics based on a logit model with adaptive learning in the form of parameters updating within each class of rules we find that for different parameterizations it can happen that fundamentalists drive chartists completely out of the market or vice versa and also that heterogeneous equilibria in which fundamentalists and chartists coexist are possible interestingly though only equilibria in which fundamentalists outperform chartists turn out to be adaptively learnable by agents

monetary policy indeterminacy and learning abstract forward looking monetary models with taylor type interest rate rules are known to generate indeterminacies with a potential dependence on extraneous sunspots for some structural and policy parameters we investigate the stability of these solutions under adaptive learning focusing on common factor or resonance frequency representations in which the observed sunspot has a suitable time series structure we consider specifications incorporating both lagged and expected inflation in the phillips curve and both expected and inertial elements in the policy rule we find that some policy rules can indeed lead to learnable sunspot solutions and we investigate the conditions under which this phenomenon arises

multiple equilibria in dynamic rational expectations models a critical review abstract multiple equilibria are a ubiquitous feature of dynamic rational expectations models researchers have been divided on the implications of this phenomenon some have viewed this as a reflection of reality and a possible explanation of a wide range of economic phenomena others have suggested various selection criteria for choosing one among the many equilibria this paper reviews the major selection criteria that have been proposed and through application to three well known models shows under what circumstances one might expect them to choose the same or different equilibria in addition this paper proposes a new criteria based on the limit of finite horizon equilibria and investigates its relation to the other criteria

learning and the central bank abstract it is well known that sunspot equilibria may arise under an interest rate operating procedure in which the central bank varies the nominal rate with movements in future inflation a forward looking taylor rule this paper demonstrates that these sunspot equilibria may be learnable in the sense of e stability

the speed of euro adoption this paper estimates the speed and determinants of euro adoption across italian provinces by exploiting the natural experiment in early 2002 when euro and lira dually circulated as legal tender a unique data set with daily observations on the net flows of euro banknotes from the branches of the bank of italy province by province is used the speed of euro adoption differs according to the availability of transaction technology and demographic characteristics lessons for countries adopting a new currency are obtained

social learning and monetary policy rules we analyse the effects of social learning in a monetary policy context social learning might be viewed as more descriptive of actual learning behaviour in complex market economies in our model taylor principle governs uniqueness and expectational stability of rational expectations equilibrium ree under homogeneous recursive algorithms we find that the taylor principle is not necessary for convergence to ree minimum state variable msv equilibrium under social learning sunspot equilibria exist in the indeterminate region our agents cannot co ordinate on a sunspot equilibrium in general form specification however they can co ordinate on common factor specification we contribute to the use of genetic algorithm learning in stochastic environments

are sunspots learnable an experimental investigation in a simple macroeconomic model abstract we conduct experiments with human subjects in a model with a positive production externality in which productivity is a nondecreasing function of the average level of employment of other firms the model has three steady states and a sunspot equilibrium that fluctuates between the high and low steady states steady states are payoff ranked low values give lower profits than higher values we investigate whether subjects can learn a sunspot equilibrium we observe coordination on the extrinsic announcements in our experimental economies cases of apparent convergence to the low and high steady states are also observed

are non fundamental equilibria learnable in models of monetary policy abstract 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

learnability of an equilibrium with private information abstract this paper investigates the learnability of an equilibrium with private information agents of each type have their own private information about an exogenous variable and conduct adaptive learning with a heterogeneously misspecified perceived laws of motion plm that includes only this variable the paper shows that the existence of private information has a nonnegative impact on the learnability of the equilibrium that is the condition for learnability is unaffected or relaxed by heterogeneity and or misspecification in plms caused by private information in a new keynesian model with private information about fundamental shocks the learnability of the equilibrium is ensured by the taylor principle of monetary policy the paper also confirms that these results hold true not only in the presence of private information but also in a variety of informational structures

investment and monetary policy learning and determinacy of equilibrium we explore determinacy and expectational stability learnability of rational expectations equilibrium ree in new keynesian nk models that include capital using a consistent calibration across three different models labor only firm specific capital or an economy wide rental market for capital we provide a clear picture of when ree is determinate and learnable and when it is not under a variety of monetary policy rules our findings make a case for greater optimism concerning the use of such rules in nk models with capital while bullard and mitra s 2002 2007 findings for the labor only nk model do not always extend to models with capital we show that determinate and learnable ree can be achieved in nk models with capital if there is i plausible capital adjustment costs ii some weight given to output in the policy rule and or iii a policy of interest rate smoothing

monetary policy expectations and commitment commitment in monetary policy leads to equilibria that are superior to those from optimal discretionary policies a number of interest rate reaction functions and instrument rules have been proposed to implement or approximate commitment policy we assess these rules in terms of whether they lead to a rational expectations equilibrium that is both locally determinate and stable under adaptive learning by private agents a reaction function that appropriately depends explicitly on private sector expectations performs particularly well on both counts