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

eductive stability in real business cycle models we reexamine issues of coordination in the standard rbc model is the unique rational expectations equilibrium attainable by rational agents who contemplate the possibility of small deviations from equilibrium surprisingly we nd that coordination cannot be expected even with strong common knowledge assumptions rational agents anticipating small but persistent deviations are led to take actions that eventually contradict the common knowledge assumption this impossibility theorem for eductive learning is not fully overcome when adaptive learning is incorporated into the framework

monetary policy and fiscal limits with no default abstract this paper discusses monetary and fiscal policy interactions that stabilize government debt two distortions prevail in the model economy income taxes and liquidity constraints possible obstructions to fiscal policy include a ceiling on the equilibrium debt to gdp ratio zero or negative elasticity of tax revenues and a political intolerance of raising tax rates at the fiscal limit two mechanisms restore solvency fiscal inflation which reduces the real value of nominal debt and open market operations which diminish the size of government debt held by the private sector three regimes achieve this goal in all regimes monetary policy is passive in all regimes a muted tax response to government debt is consistent with equilibrium the propensity of a fiscal authority to smooth output is found to determine what is an acceptable response in the form of tax rate changes to the level of government debt while monetary policy determines the timing and magnitude of fiscal inflation impulse responses show that the inflation and tax hikes needed to offset a permanent shock to transfers are lowest under nominal interest rate pegs in this regime most of the reduction in the real value of government debt comes from open market purchases

monetary and fiscal policy design at the zero lower bound evidence from the lab the global economic crisis of 2007 8 pushed many advanced economies into a liquidity trap a macroeconomic scenario characterised by nomial rates at the zero lower bound zlb low inflation and output below trend we design an experiment to generate empirical evidence on the effectiveness of policies aimed at managing expectations against liquidity traps in a controlled laboratory environment where expectations are elicied directly from human subjects our results suggest that monetary policy alone is not sufficient to insulate the economy form the risk of falling into a liquidity trap even if it preventively cuts the policy augmented with a fiscal switching rule succeeds in avoiding and escapiing liquidity trap episodes we also measure larger than unity fiscal mulipliers when monetary policy is constrained by the zlb experimental results in different treatments are well explained by adaptive learning

raise rates to raise inflation neo fisherianism in the new keynesian model increasing the inflation target in a new keynesian nk model may require increasing rather than decreasing the nominal interest rate in the short run we refer to this positive short run comovement between the nominal rates and inflation conditional on a nominal shock as neo fisherianism we show that the nk model is more likely to be neo fisherian the more persistent is the change in the inflation target and the more flexible are prices neo fisherianism is driven by the forward looking nature of the model modifications that make the framework less forward looking make it less likely for the model to exhibit neo fisherianism

stable near rational sunspot equilibria abstract we introduce a new class of solutions to nonlinear forward looking models called near rational sunspot equilibria nrse nrse are natural nonlinear extensions of the usual sunspot equilibria associated with the linearized version of the economy and are near rational in that agents use the optimal linear forecasting model when forming expectations generic results for existence and stability under learning are established nrse in indeterminate nonlinear models are found to be stable under learning provided that the corresponding linearized model s minimal state variable solution is e stable nrse are readily computable and our results make it possible to use the standard linear tools to search for stable nrse we illustrate our results using a canonical nonlinear new keynesian model

equilibrium indeterminacy and asset price fluctuation in japan a bayesian investigation this paper investigates sources of asset price fluctuation in japan using an estimated financial accelerator model for explicit treatment of expectational beliefs characterized by sunspots the model is analyzed over the parameter space where the equilibrium can be indeterminate we show that indeterminacy arises if the financial accelerator effect is sufficiently large according to our bayesian estimation results japan s economy was affected by sunspot shocks however the contribution of the sunspots to asset price volatility was low rather net worth and cost shocks drove the asset price fluctuation we find however that the sunspots substantially affected capital investment

when does a central bank s balance sheet require fiscal support abstract using a simple general equilibrium model we argue that it would be appropriate for a central bank with a large balance sheet composed of long duration nominal assets to have access to and be willing to ask for support for its balance sheet by the fiscal authority otherwise its ability to control inflation may be at risk this need for balance sheet support a within government transaction is distinct from the need for fiscal backing of inflation policy that arises even in models where the central bank s balance sheet is merged with that of the rest of the government

nominal price rigidity money supply endogeneity and business cycles abstract this paper investigates the ability of nominal price rigidity to explain the co movement of inflation with the cyclical component of output observed in the post war u s data a dynamic general equilibrium model is constructed with the introduction of monopolistic competition and nominal price rigidity in a standard real business cycle model allowing for an endogenous money supply rule it is then demonstrated that sticky price models can explain the observed associations between movements in inflation and output much better than flexible price models this result depends little on whether money supply is assumed to be endogenous or not

real balance effects timing and equilibrium determination this paper examines whether the existence and the timing of real balance effects contribute to the determination of the absolute price level as suggested by patinkin 1949 1965 and if they afiect conditions for local equilibrium uniqueness and stability i show that there exists a unique price level sequence that is consistent with an equilibrium under interest rate policy only if beginning ofperiod money yields transaction services predetermined real money balances can then serve as a state variable implying that interest rate setting must be passive a violation of the taylor principle for unique stable and non oscillatory equilibrium sequences on the contrary when the end of period money stock facilitates transactions the equilibrium displays nominal indeterminacy and equilibrium uniqueness requires an interest rate setting consistent with the taylor principle

enhancing efficiency or crying over spilled milk the benefits of reform we analyze the welfare gains from the reform of existinggovernment induced distortions our results provide support forpolicies aimed at eliminating monopoly and other types of economicdistortion welfare gains over the status quo exist wheneverderegulation occurs the threat of deregulation can induce amonopoly or cartel to modify its behavior so a reform policy canprove beneficial even if reform does not actually occur optimalpolicy with commitment in fact allows a monopoly to deterderegulation the possibility of reregulation does not reverse ourresults the per period welfare gain from reform remainsundiminished

learning heterogeneity and complexity in the new keynesian model abstract we present a new keynesian model in which a fraction n of agents are fully rational and a fraction 1 n of agents are bounded rational after deriving a simple reduced form we demonstrate that the taylor condition is sufficient for determinacy and stability both when the proportion of fully rational agents is held fixed and when it is allowed to vary according to reinforcement learning however this result relies on the absence of persistence in the monetary policy rule and we demonstrate that the taylor condition is not sufficient for determinacy and stability in the presence of interest rate smoothing for monetary policy rules that imply indeterminacy we demonstrate the existence of limit cycles via hopf bifurcation and explore a rational route to randomness numerically our results support the broader literature on behavioural new keynesian models in which the taylor condition is known to be a useful guide to monetary policy despite not always being sufficient for determinacy and or stability

short and long interest rate targets can both short and long term interest rates be targeted independently can the target of the term structure help solve the problem of multiplicity of equilibria that occurs when only the short rate is targeted both questions are addressed and the answer is yes to both

the design of monetary and fiscal policy a global perspective abstract we study the emergence of multiple equilibria in models with capital and bonds under various monetary and fiscal policies we show that the presence of capital is indeed another independent source of local and global multiplicities even under active policies that yield local determinacy we also show how a very similar mechanism generates multiplicities in models with bonds and distortionary taxation we then explore the design of monetary policies that avoid multiple equilibria we show that interest rate policies that respond to the output gap while potentially a source of significant inefficiencies may be effective in preventing multiple equilibria and costly oscillatory equilibrium dynamics

self fulfilling recessions at the zero lower bound abstract we highlight an overlooked source of equilibrium multiplicity in monetary economies subject to a zero bound on nominal interest rates in environments with sufficient endogenous propagation depressed contemporary economic conditions must directly lower expectations of future output and inflation a current recession followed by gradual convergence back to steady state may then be an equilibrium outcome without any exogenous impulse we present this mechanism heuristically in partial equilibrium and in two computed examples of new keynesian economies expansionary fiscal policy makes the recessionary equilibrium more severe at the margin but commitment to a sufficiently large expansion can rule out multiplicity

the new keynesian liquidity trap abstract many new keynesian models produce a deep recession with deflation at the zero bound these models also make unusual policy predictions useless government spending technical regress capital destruction and forward guidance can raise output moreover these predictions are larger as prices become less sticky and as changes are expected further in the future i show that these predictions are strongly affected by equilibrium selection for the same interest rate path equilibria that bound initial jumps predict mild inflation small output variation negative multipliers small effects of far off expectations and a smooth frictionless limit fiscal policy considerations suggest the latter equilibria

interest rate targeting abstract the paper develops a model in which the monetary authority successfully targets the nominal interest rate while also holding down the forecast variance of the price level the latter objective pins down the extent of monetary accommodation to shifts in the demand for money and other shocks and thereby makes determinate the levels of money and prices at each date empirical evidence for the united states suggests that the model s predictions accord reasonably well with observed behavior for nominal interest rates growth rates of the monetary base and rates of inflation

inflation and output in new keynesian models with a transient interest rate peg a familiar result in the canonical dynamic new keynesian dnk model is that policymakers constrained by the zero bound can improve outcomes by promising to keep rates low after the zero bound is not binding we examine a general class of interest rate pegs in a variety of dnk models standard versions of the model produce counterintuitive reversals where the effect of the interest rate peg can switch from highly expansionary to highly contractionary for modest changes in the length of the interest rate peg this unusual behavior does not arise in sticky information models of the phillips curve

forward guidance and the role of central bank credibility under heterogeneous beliefs abstract this paper studies the macroeconomic effects of central bank forward guidance when central bank credibility is endogenous we take a stylized new keynesian model with an occasionally binding effective lower bound constraint on nominal interest rates and heterogeneous and boundedly rational households central bank forecasts follow a bivariate var not taking into account the time variation in the distribution of aggregate expectations in this framework we extend the central bank s toolkit to allow for the publication of its own forecasts delphic guidance and the commitment to a future path of the nominal interest rate odyssean guidance we find that both delphic and odyssean forward guidance increase the likelihood of recovery from a liquidity trap even though odyssean guidance alone appears more powerful in inducing recovery we find it to increase ex post macroeconomic volatility and thus reduce welfare

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

the formation of consumer inflation expectations new evidence from japan s deflation experience using a new data set we investigate the relationship between the inflation experience and expectations of households in japan focusing on the post 1995 deflationary era our first finding is that inflation expectations increase with age second we find that measured inflation rates also increase with age although age and inflation expectations continue to exhibit a positive correlation even after controlling for the household level inflation rate analysis suggests that the correlation between age and inflation expectations is driven largely by the correlation between cohort and inflation expectations which we interpret to represent the effect of historical inflation experience on inflation expectations

regional trade agreements versus global trade liberalisation implications for a small island developing state this study undertakes an empirical investigation of the macroeconomic and sectoral impacts of two forms of regional trade agreements vis a vis global trade liberalisation on a small island country using fiji as a case study in order to capture the feedback effects of such a complex set of policies we employ a dynamic computable general equilibrium model of the fijian economy to investigate i the impact of the pacific island countries trade agreement picta ii the impact of picta the pacific agreement for closer economic relations pacer and the economic partnership agreements epas iii the impact of full tariff liberalisation i e tariff removal only and iv the impact of full trade liberalisation with removal of both tariff and non tariff barriers while picta consistently provides the least benefits across a range of macroeconomic indicators including real output welfare trade volumes and employment full trade liberalisation involving the removal of tariff and non tariff barriers provides the greatest benefits compared to the other scenarios in terms of real output however the latter scenario is outperformed by picta pacer the epas and full tariff liberalisation in terms of welfare effects trade volumes and employment the policy implications hold important lessons for developing countries considering trade liberalisation

the perils of taylor rules abstract since john taylor s 1993 carnegie rochester conf ser publ policy39 195 214 seminal paper a large literature has argued that active interest rate feedback rules that is rules that respond to increases in inflation with a more than one for one increase in the nominal interest rate are stabilizing in this paper we argue that once the zero bound on nominal interest rates is taken into account active interest rate feedback rules can easily lead to unexpected consequences specifically we show that even if the steady state at which monetary policy is active is locally the unique equilibrium typically there exist an infinite number of equilibrium trajectories originating arbitrarily close to that steady state that converge to a liquidity trap that is a steady state in which the nominal interest rate is near zero and inflation is possibly negative journal of economic literature classification numbers e52 e31 e63

asymmetric monetary policy and the yield curve we discuss the taylor rule near low inflation and interest rates using an additional option like term in the federal reserve s loss function i e the deflation put we extend the classic taylor rule to one with an asymmetric response that is more accommodative when the inflation rate is very low once calibrated this payoff profile gives an exact and easily communicable prescription for federal reserve policy under regimes of low inflation simple models of central bank behavior can produce highly complex yield curve shapes using the usual taylor rule and our proposed extension as building blocks we construct a robust framework for generating realistic yield curves and the evolution of the economy our main focus is the impact on the yield curve and the economy of the deflation put we find that for economies like the u s the deflation put reduces yields for all maturities we also find that in highly leveraged economies such as japan the consequence of an asymmetric deflation fighting policy may result in improved economic conditions but also raises the possibility of higher longterm yields as a consequence

money and interest in a cash in advance economy the authors analyze an aggregative general equilibrium model in which the use of money is motivated by a cash in advance constraint applied to purchases of a subset of consumption goods the system is subject to both real and monetary shocks which are economy wide and observed by all they develop methods for verifying the existence of characterizing and explicitly calculating equilibria copyright 1987 by the econometric society

deleveraging and monetary policy japan since the 1990s and the united states since 2007 japan s deleveraging became serious because the negative feedback loop was japan s deleveraging became serious because the negative feedback loop was not contained in its early stage of development the japanese government did not not contained in its early stage of development the japanese government did not act promptly to recapitalize banks that were suffering from the erosion of their act promptly to recapitalize banks that were suffering from the erosion of their capital buffer due to their large holdings of stocks as a result japan s banks only capital buffer due to their large holdings of stocks as a result japan s banks only slowly recognized bad loans while stopping lending to promising new projects slow slowly recognized bad loans while stopping lending to promising new projects slow but protracted asset sales resulted in a long period of asset price declines nonfi nanbut protracted asset sales resulted in a long period of asset price declines nonfi nancial companies perceived the deterioration of their balance sheets as permanent cial companies perceived the deterioration of their balance sheets as permanent and cut spending drastically as japan s economy stagnated the total amount of bad and cut spending drastically as japan s economy stagnated the total amount of bad loans turned out to be much larger than initially estimated loans turned out to be much larger than initially estimated

the robustness and efficiency of monetary policy rules as guidelines for interest rate setting by the european central bank abstract this paper examines the implications of recent research on monetary policy rules for practical monetary policy making with special emphasis on strategies for setting interest rates by the european central bank ecb the paper draws on recent research and new simulations of a large open economy model to assess the efficiency of a simple benchmark rule in comparison with other proposed rules further it stresses new results on the robustness of monetary policy rules in which each rule that is optimal or good according to one model or researcher is tested for robustness by other researchers using different models because of the large increase in the number of economists focussing on econometric evaluation of monetary policy rules for the interest rate instrument and because of the parallel increase in the variety of models being developed for this purpose much more evidence is becoming available on the robustness of simple monetary policy rules for the interest rate than ever before

eliminating a deflationary trap through superinertial interest rate rules abstract this paper demonstrates that even in the presence of a zero lower bound on nominal interest rates central banks can eliminate a deflationary trap by the conduct of interest rate rules that have superinertia

self fulfilling deflations abstract what types of monetary and fiscal policy rules produce self fulfilling deflationary paths that are monotonic and empirically relevant this paper presents simple theoretical conditions that guarantee the existence of these paths in a general equilibrium model with sticky prices these sufficient conditions are weak enough to be satisfied by most monetary and fiscal policy rules a quantification of the model which combines a real shock a la hayashi and prescott 2002 with a simultaneous sunspot that deanchors inflation expectations matches the main empirical features of the japanese deflationary process during the lost decade the results also highlight the key role of the assumption about the anchoring of inflation expectations for the size of fiscal multipliers and in general for any policy analysis

the perils of nominal targets a monetary authority can be committed to pursuing an inflation price level or nominal gdp target yet systematically fail to achieve the prescribed goal constrained by the zero lower bound on the policy rate the monetary authority is unable to implement its objectives when private sector expectations stray far enough from the target low inflation expectations become self fulfilling resulting in an additional markov equilibrium in which the monetary authority falls short of the nominal target average output is below its efficient level and the policy rate is typically low introducing a stabilization goal for long term nominal rates can implement a unique markov equilibrium without fully compromising stabilization policy

optimal monetary policy and determinacy under active passive regimes abstract should one expect inflation to be stable when monetary policy is passive according to the workhorse model for monetary policy analysis the answer should be no if the passive spell is too long in this paper i develop a new keynesian model in which monetary policy is optimal subject to a loose commitment constraint i show that there is a threshold degree of commitment such that the equilibrium is locally unique when monetary policy switches between active and passive stances regardless of the length of the passive spell this result also holds for a version of the model where the passive spell is endogenous and due to a demand shock driving the economy to the zero lower bound

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

interest rate rules and transitional dynamics in an endogenously growing open economy abstract this paper sets up an endogenous growth model of an open economy in which the monetary authority implements a gradualist interest rate rule with targets for both inflation and economic growth we show that under a passive rule a monetary equilibrium exists and is unique moreover the equilibrium is locally determinate by contrast an active rule implies either two equilibria one high growth and one low growth or none in the case of two equilibria the high growth equilibrium is locally determinate while the low growth equilibrium is a source besides the stabilization and growth effects of alternative target policies are also explored in this study moreover in departing from the existing literature we turn to focus on the analysis of transition with a particular emphasis on the case of imperfect credibility

nominal income targeting versus money growth targeting in an endogenously growing economy abstract we find that local indeterminacy more easily emerges under a regime of nominal income targeting both targeting regimes are equally effective in influencing economic growth and inflation the results thus favor money growth over nominal income as a nominal anchor

step away from the zero lower bound small open economies in a world of secular stagnation abstract we study how small open economies can escape from deflation and unemployment in a situation where the world economy is permanently depressed building on the framework of eggertsson et al 2016 we show that the transition to full employment and at target inflation requires real and nominal depreciation of the exchange rate however because of adverse income and valuation effects from real depreciation the escape has a beggar thy self effect that may end up lowering welfare while eliminating underemployment we show that as long as the economy remains financially open domestic asset supply policies or reducing the effective lower bound on policy rates may be ineffective or even counterproductive however closing domestic capital markets does not necessarily enhance the monetary authorities ability to rescue the economy from stagnation

does trade openness matter for aggregate instability abstract this paper presents a cash in advance model of a small open economy and shows that whether an inflation targeting interest rate rule introduces aggregate instability depends in general on the degree of openness to international trade this result emerges regardless of whether prices are sticky or flexible in a closed economy as the monetary authority responds to movements in inflation the resulting changes in interest rates affect aggregate consumption through an intertemporal substitution effect and an inflation tax effect in a small open economy this policy also induces changes in the terms of trade which depending on the degree of openness can generate counteracting effects on consumption as a consequence the implications of interest rate rules on macroeconomic stability in an open economy differ from those in a closed economy

have we underestimated the likelihood and severity of zero lower bound events prior to the financial crisis most economists probably did not view the zero lower bound zlb as a major problem for central banks using a range of structural and statistical models we find that previous research understated the zlb threat by ignoring uncertainty about model parameters and latent variables focusing too much on the great moderation experience and relying on structural models whose dynamics cannot generate sustained zlb episodes our analysis also suggests that the federal reserve s asset purchases while materially improving macroeconomic conditions did not prevent the zlb constraint from having first order adverse effects on real activity and inflation

does it matter for equilibrium determinacy what price index the central bank targets what inflation rate should the central bank target we address determinacy issues related to this question in a two sector model in which prices can differ in equilibrium we assume that the degree of nominal price stickiness can vary across the sectors and that labor is immobile the contribution of this paper is to demonstrate that a modified taylor principle holds in this environment if the central bank elects to target sector one and if it responds with a coefficient greater than unity to price movements in this sector then this policy rule will ensure determinacy across all sectors the results of this paper have at least two implications first the equilibrium determinacy criterion does not imply a preference to any particular measure of inflation second since the taylor principle applies at the sectoral level there is no need for a taylor principle at the aggregate level

persistence and volatility of beveridge cycles this paper aims to explain the magnitude and cyclical behavior of the fluctuations in unemployment and vacancies adding demand externalities to an otherwise standard search and matching model reduces the need for exogenous shocks in explaining these fluctuations under plausible parameter values the equilibrium dynamics include a stable limit cycle that resembles the empirically observed counterclockwise cycles around the beveridge curve quantitatively these endogenous beveridge cycles can explain half of the volatility and almost all persistence of unemployment without any exogenous forces avoiding the amplification and propagation problems of the standard model