Introduction to monetary and macro economics

This introduces the symposium on monetary and macro economics.     

Endogenous monetary commitment

We develop an asynchronous framework in which each player can optimally select the frequency of his moves based on cost-benefit considerations. To demonstrate how such ability to commit can alleviate coordination problems, we apply the framework to monetary policy.     

Saddlepath learning

Saddlepath learning occurs when agents learn adaptively using a perceived law of motion that has the same form as the saddlepath relationship in rational expectations equilibrium. Under saddlepath learning, we obtain a completely general relationship between determinacy and e-stability, and generalise minimum state variable results previously derived only under full information. When the system is determinate, we show that a learning process based on the saddlepath is always e-stable. When the system is indeterminate, we find there is a unique MSV solution that is iteratively e-stable. However, in this case there is a sunspot solution that is learnable as well. We conclude by demonstrating that our results hold for any information set.     

Expectations and optimal monetary policy: A stability problem revisited

A landmark result in the optimal monetary policy design literature is that fundamental-based interest rate rules invariably lead to rational expectations equilibria (REE) that are not stable under adaptive learning. In this paper, we make a novel information assumption that private agents cannot observe aggregate fundamental shocks, and use simple linear forecasting rules for learning. We find that with fundamental-based rules, there exist limited information equilibria that are stable under learning. Moreover, there are multiple equilibria. Learning can be used as a selection tool to identify a unique equilibrium.     

News and monetary shocks at a high frequency: A simple approach

We develop a simple approach to identify economic news and monetary shocks at a high frequency. The approach is used to examine financial market developments in the United States following the Federal Reserve’s May 22, 2013 taper talk suggesting that it would begin winding down its quantitative easing program. Our findings show that the sharp rise in 10-year Treasury bond yields immediately after the taper talk was largely due to monetary shocks, with positive economic news becoming increasingly important in subsequent months.     

Introduction to special issue: Macroeconomics with frictions

This is an introduction and overview of the special issue on “Macroeconomics with frictions”.     

Stationary monetary equilibria with strictly increasing value functions and non-discrete money holdings distributions: An indeterminacy result

In this paper, we present a search model with divisible money in which there exists a continuum of monetary equilibria with strictly increasing continuous value functions and with non-discrete money holdings distributions.     

Competition among banks and the pass-through of monetary policy

This paper introduces monopolistically competitive financial intermediaries into the New Keynesian DSGE setting. Modelling bank market power explicitly contributes to understanding two empirical facts: (i) The short-run transmission of changes in money market rates to bank retail rates is far from complete and heterogeneous. (ii) Stiffer competition among commercial banks implies that loan rates correlate more tightly with the policy rate. In my model, the degree of monopolistic competition in the banking sector has a sizeable impact on the pass-through of changes in the policy rate. In particular, a more competitive market for bank credit amplifies the efficiency of monetary policy.     

QUEST III: An estimated open-economy DSGE model of the euro area with fiscal and monetary policy

This paper develops a DSGE model for an open economy and estimates it on euro area data using Bayesian estimation techniques. The model features nominal and real frictions, as well as financial frictions in the form of liquidity-constrained households. The model incorporates active monetary and fiscal policy rules (for government consumption, investment, transfers and wage taxes) and can be used to analyse the effectiveness of stabilisation policies. To capture the unit root character of macroeconomic time series we allow for a stochastic trend in TFP, but instead of filtering data prior to estimation, we estimate the model in growth rates and stationary nominal ratios.     

Currency equivalent monetary aggregates as leading indicators of inflation

This study examines whether the Currency Equivalent (CE) Monetary Aggregates proposed by [Hutt, 1963] and [Rotemberg et al., 1995] can perform better in predicting inflation as compared to their simple sum counterparts. The components of four official measures of monetary constructs - M1, M2, M3 and L1 - are used to construct monthly CE monetary aggregates for the period from April 1993 to June 2009. The empirical evidence indicates that the growth rate of CE aggregates has an edge over their sum counterparts in predicting inflation. Moreover, the predictive power of the growth rates of CE aggregates improves as the level of aggregation increases. These evidences suggest that observing the movements in the growth rates of weighted monetary aggregates can be a better option within the “multiple indicator approach” which is being currently practiced by the Reserve Bank of India.     

Viewpoint: A microfoundation of monetary economics

Abstract .  In this lecture, I explain what the microfoundations of money are about and why they are necessary for monetary economics. Then, I review recent developments of a particular microfoundation of money, commonly known as the search theory of money. Finally, I outline some unresolved issues.     

Policy analysis in real time using IMF's monetary model

We investigate to what extent estimated relationships of the IMF's monetary model and their policy implications are sample dependent. We observe that estimates of the model's key parameters and model-based measures of macroeconomic disequilibria are highly dependent on the data vintage employed. Changes in parameter estimates solely due to data revisions are found to be much smaller than those owing to parameter instability, possibly reflecting model misspecification. Moreover, instability in parameter estimates contributes to more uncertainty in assessments of macroeconomic disequilibria than data revisions. Analyses based on a version of the model in difference form are also found to be quite sensitive to the data vintage employed, although to a lesser extent than those based on the standard version of the model with variables in levels.     

A qualitative approach to Markovian equilibrium in infinite horizon economies with capital

Using lattice programming and order theoretic fixpoint theory, we develop a new class of monotone iterative methods that provide a qualitative theory of Markovian equilibrium decision processes for a large class of infinite horizon economies with capital. The class of economies includes models with public policy, valued fiat money, monopolistic competition, production externalities, and various other nonconvexities in the production sets. The results can be adapted to construct symmetric Markov equilibrium in models with many agents and market incompleteness. As the methods are constructive, they provide the foundations for a rigorous analysis of numerical approximation schemes that study extremal Markovian equilibrium. Equilibrium comparative statics results relative to the space of economies are available. Of independent interest, we provide new conditions for preserving complementarity under maximization, and new generalized envelope theorems for nonconcave dynamic programming problems. Our fixed point algorithms are sharp, and are able to distinguish sufficient conditions under which Markovian equilibrium form a complete lattice of Lipschitz continuous, uniformly continuous and semicontinuous monotone functions as well as unique continuously differentiable equilibrium.     

The role of labor markets for euro area monetary policy

In this paper, we explore the role of labor markets for monetary policy in the euro area in a New Keynesian model in which labor markets are characterized by search and matching frictions. We first investigate to which extent a more flexible labor market would alter the business cycle behavior and the transmission of monetary policy. We find that while a lower degree of wage rigidity makes monetary policy more effective, i.e. a monetary policy shock transmits faster onto inflation, the importance of other labor market rigidities for the transmission of shocks is rather limited. Second, having estimated the model by Bayesian techniques we analyze to which extent labor market shocks, such as disturbances in the vacancy posting process, shocks to the separation rate and variations in bargaining power are important determinants of business cycle fluctuations. Our results point primarily towards disturbances in the bargaining process as a significant contributor to inflation and output fluctuations. In sum, the paper supports current central bank practice which appears to put considerable effort into monitoring euro area wage dynamics and which appears to treat some of the other labor market information as less important for monetary policy.     

Time consistent monetary policy with endogenous price rigidity

I characterize time consistent equilibrium in an economy with price rigidity and an optimizing monetary authority operating under discretion. Firms have the option to increase their frequency of price change, at a cost, in response to higher inflation. Previous studies, which assume a constant degree of price rigidity across inflation regimes, find two time consistent equilibria—one with low inflation, the other with high inflation. In contrast, when price rigidity is endogenous, the high inflation equilibrium ceases to exist. Hence, time consistent equilibrium is unique. This result depends on two features of the analysis: (1) a plausible quantitative specification of the fixed cost of price change, and (2) the presence of an arbitrarily small cost of inflation that is independent of price rigidity.     

An OLS approach to computing Ramsey equilibria in medium-scale macroeconomic models

This note describes a general procedure for solving for the steady state and the dynamics implied by the Ramsey equilibrium of medium-scale macroeconomic models. The procedure yields an exact numerical solution for the steady state and second-order accurate dynamics. It introduces a novel projection-based approach to calculating exact solutions to the steady state of Ramsey equilibria.     

A method for finding the maximal set in excess demand

We present a polynomial time method for identifying the maximal set in excess demand at a given payoff vector. This set can be used in “large” partnership formation problems to identify the minimum element in the set of individually rational payoff vectors at which there is no overdemanded set of agents. This minimum element corresponds to the minimum Walrasian equilibrium price vector in a special case of the partnership formation problem.     

A two-pillar DSGE monetary policy model for the euro area

The current financial crisis has revived the interest for monitoring both monetary and credit developments. Over the past two decades, consistent with the adoption of inflation targeting strategies by a growing number of central banks and the development of New Keynesian models for which monetary aggregates are largely irrelevant, money and credit have been progressively neglected in the conduct of monetary policy. A striking exception has been the Eurosystem, which has implemented a strategy known as the “two-pillar monetary policy strategy” giving a prominent role for money. In this paper, we develop a small optimizing model based on Ireland (2004), estimated on euro area data and featuring this two-pillar strategy. We evaluate an ECB-style cross-checking policy rule in a DSGE model with real balance effects of money. We find some evidence that indeed money plays a non-trivial role in explaining the euro area business cycle. This provides a rationale for the central bank to factor in monetary developments but also raises some issues regarding the reliability of M3 as an appropriate monetary indicator. We find some evidence that the ECB has systematically reacted to a filtered measure of money growth but weak evidence it has reacted more aggressively during excess money growth periods.