Ramsey monetary policy with labor market frictions

Traditional New Keynesian models prescribe that optimal monetary policy should aim at price stability. In the absence of a labor market frictions, the monetary authority faces no unemployment/inflation trade-off. The design of optimal monetary policy is analyzed here for a framework with sticky prices and matching frictions in the labor market. Optimal policy features deviations from price stability in response to both productivity and government expenditure shocks. When the Hosios [1990. On the efficiency of matching and related models of search and unemployment. Review of Economic Studies 57 (2), 279-298] condition is not met, search externalities make the flexible price allocation unfeasible. Optimal deviations from price stability increase with workers’ bargaining power, as firms incentives to post vacancies fall and unemployment fluctuates above the Pareto efficient one.     

Optimal Monetary Policy Rules and House Prices: The Role of Financial Frictions

We probe the scope for reacting to house prices in simple and implementable monetary policy rules, using a New Keynesian model with a housing sector and financial frictions on the household side. We show that the social‐welfare‐maximizing monetary policy rule features a reaction to house price variations, when the latter are generated by housing demand or financial shocks. The sign and size of the reaction crucially depend on the degree of financial frictions in the economy. When the share of constrained agents is relatively small, the optimal reaction is negative, implying that the central bank must move the policy rate in the opposite direction with respect to house prices. However, when the economy is characterized by a sufficiently high average loan‐to‐value ratio, then it becomes optimal to counter house price increases by raising the policy rate.     

Monetary Policy,Trend Inflation,and Unemployment Volatility

The literature has long agreed that the DMP model (after Diamond 1982, Mortensen 1982, Pissarides 1985) with search and matching frictions in the labor market can deliver large volatilities in labor market quantities, consistent with empirical data, only if there is at least some wage stickiness. I show, however, that the model can deliver nontrivial volatilities without wage stickiness, as long as it has price dispersion and nonzero long‐run inflation rates. I find that by keeping inflation at a positive rate, monetary policy may be accountable for the large standard deviations observed on labor market variables. In addition, the Shimer (2005) puzzle disappears under monetary policy shocks.     

Credit Spreads and Monetary Policy

We consider the desirability of modifying a standard Taylor rule for interest rate policy to incorporate adjustments for measures of financial conditions. We consider the consequences of such adjustments for the way policy would respond to a variety of disturbances, using the dynamic stochastic general equilibrium model with credit frictions developed in Cúrdia and Woodford (2009a) . According to our model, an adjustment for variations in credit spreads can improve upon the standard Taylor rule, but the optimal size of adjustment depends on the source of the variation in credit spreads. A response to the quantity of credit is less likely to be helpful.     

Emerging Market Business Cycles: The Role of Labor Market Frictions

Emerging economies are characterized by higher variability of consumption and real wages relative to output and a strongly countercyclical current account. A small open economy model with search‐matching frictions and countercyclical interest rate shocks can account for these regularities. Search‐matching frictions affect permanent income, and increase future employment uncertainty, heightening workers' incentives to save and generating a greater response of consumption and the current account. The greater consumption response feeds into larger fluctuations in workers' willingness to work, while interest rate shocks lead to variations in firms' willingness to hire; both of these outcomes contribute to highly variable wages.     

Optimal Monetary Policy with an Uncertain Cost Channel

The cost channel of monetary transmission describes a supply-side effect of interest rates on firms' costs. Previous research has found this effect to vary, both over time and across countries. Moreover, the cyclical nature of financial frictions is likely to amplify the cost channel. This paper derives optimal monetary policy in the presence of uncertainty about the true size of the cost channel. In a min–max approach, the central bank derives an optimal policy plan to be implemented by a Taylor rule. It is shown that uncertainty about the cost channel leads to an attenuated interest rate setting behavior. In this respect, the Brainard (1967) principle of cautious policy in the face of uncertainty continues to hold in both a Bayesian and a min–max framework.     

Fixed‐ and Variable‐Rate Mortgages,Business Cycles,and Monetary Policy

This paper studies how the proportion of fixed‐ and variable‐rate mortgages affects business cycles and welfare. I develop and solve a New Keynesian dynamic stochastic general equilibrium model with a housing market and a group of constrained individuals who need housing collateral to obtain loans. The model predicts that with mostly variable‐rate mortgages, an exogenous interest rate shock has larger effects on borrowers than in a fixed‐rate economy. For plausible parameterizations, aggregate differences are muted by wealth effects on labor supply and by the presence of savers. For given monetary policy, a high proportion of fixed‐rate mortgages is welfare enhancing.     

Banking Competition,Collateral Constraints,and Optimal Monetary Policy

We analyze optimal monetary policy in a model with two distinct financial frictions: monopolistically competitive banks that charge endogenous lending spreads, and collateral constraints. We show that welfare maximization is equivalent to stabilization of four goals: inflation, output gap, the “consumption gap” between borrowers and savers, and a “housing gap” that measures the distortion in the distribution of the collateralizable asset between both groups. Collateral constraints create a trade‐off between stabilization goals. Following both productivity and financial shocks, and relative to strict inflation targeting, the optimal policy implies sharper movements in the policy rate, aimed primarily at reducing fluctuations in asset prices and hence in borrowers' net worth. The policy trade‐offs become amplified as banking competition increases, due to the fall in lending spreads and the resulting increase in borrowers' leverage.     

Learning about the Term Structure and Optimal Rules for Inflation Targeting

In this paper, we incorporate the term structure of interest rates in the New Keynesian model and analyze optimal policy under uncertainty about private sector expectations and the degree of inflation persistence. The novel result of our paper is that for large deviations of inflation from its target, the active learning policy is less activist—in the sense of responding less aggressively to the state of the economy—than a myopic policy, which ignores the learning channel. Moreover, for most initial beliefs, the incentive for active learning increases as monetary policy’s leverage over the long‐term interest rate increases.     

Optimal fiscal policy under multiple equilibria

We study optimal fiscal policy in an economy where (i) search frictions create a coordination problem and generate multiple, Pareto-ranked equilibria and (ii) the government finances the provision of a public good by taxing market activity. The government must choose the tax rate before it knows which equilibrium will obtain, and therefore an important part of the problem is determining how the policy will affect the equilibrium selection process. We show that when the equilibrium selection rule is based on the concept of risk dominance, higher tax rates make coordination on the Pareto-superior outcome less likely. As a result, taking equilibrium-selection effects into account leads to a lower optimal tax rate.     

Interest‐Rate Pegs in New Keynesian Models

The conventional policy perspective is that lowering the interest rate increases output and inflation in the short run, while maintaining inflation at a higher level requires a higher interest rate in the long run. In contrast, it has been argued that a Neo‐Fisherian policy of setting an interest‐rate peg at a fixed higher level will increase the inflation rate. We show that adaptive learning argues against the Neo‐Fisherian approach. Pegging the interest rate at a higher level will induce instability and most likely lead to falling inflation and output over time. Eventually, this would precipitate a change of policy.     

Optimal Monetary and Fiscal Policy with a Zero Bound on Nominal Interest Rates

I characterize optimal monetary and fiscal policy in a stochastic New Keynesian model when nominal interest rates may occasionally hit the zero lower bound. The benevolent policymaker controls the short‐term nominal interest rate and the level of government spending. Under discretionary policy, accounting for fiscal stabilization policy eliminates to a large extent the welfare losses associated with the presence of the zero bound. Under commitment, the gains associated with the use of the fiscal policy tool remain modest, even though fiscal stabilization policy is part of the optimal policy mix.     

Liquidity in Frictional Asset Markets

On November 14–15, 2008, the Federal Reserve Bank of Cleveland hosted a conference on “Liquidity in frictional asset markets.” In this paper, we review the literature on asset markets with trading frictions in both finance and monetary theory using a simple search‐theoretic model, and we discuss the papers presented at the conference in the context of this literature. We will show the diversity of topics covered in this literature, for example, the dynamics of housing and credit markets, the functioning of payment systems, optimal monetary policy and the cost of inflation, the role of banks, the effect of informational frictions on asset trading.     

Distance,Language, Religion,and the Law of One Price: Evidence from Canada and Nigeria

We examine the impact of physical distance, language, and religion on Law of One Price (LOP) deviations across interwar Canadian and modern Nigerian cities. The data comprise monthly average retail prices for narrowly defined goods collected by national statistical agencies. We find that differences in the fraction of the city population sharing a common language and religion have a significant impact on LOP deviations. The impact of language differences is consistent with a recently developed theory in which both trade costs and differences in signal–noise ratios contribute to LOP deviations.     

The Value of Interest Rate Stabilization Policies When Agents Are Learning

We examine the expectational stability (E-stability) of rational expectations equilibrium in the "New Keynesian" model where monetary policy is optimally derived and interest rate stabilization is added to the central bank's traditional objectives of inflation and output stabilization. We consider both the case where the central bank lacks a commitment technology and the case of full commitment. We show that for both cases, optimal policy rules yield rational expectations equilibria that are E-stable for a wide range of empirically plausible parameter values. These findings stand in contrast to Evans and Honkapohja's findings for optimal monetary policy rules in environments where interest rate stabilization is not a central bank objective.     

The equilibrium pricing of exchange rates and assets when trade takes time

When trade takes time, there are systematic deviations of the exchange rate from its Law of One Price value; these depend on the real interest rate in terms of the importable good. There is no systematic tendency for the spot rate to attain its LOP value in the long run. This means that agents in different countries price the same cash flows by using different risk premia, with agents in the ‘foreign’ country pricing the asset by adding a risk premium related to foreign exchange risk.     

Understanding Post‐Euro Law‐of‐One‐Price Deviations

We put together a unique panel of thousands of good‐level prices before and after the euro to compare the determinants and understand the evolution of goods price dispersion across Europe over time. We find that tradeability and nontraded inputs play a significantly smaller role for cross‐country price dispersion after the adoption of the euro, and for Eurozone economies as compared to European Union ones. We then compare the distributions of law‐of‐one‐price (LOP) deviations over time to understand how the degree of integration across European economies changed after the euro. Our tests reveal that the distributions after the euro are typically significantly different from those before, consistent with a greater degree of integration. Utilizing our unique panel data set to trace the location of individual goods in the distribution of LOP deviations, we ask how the price advantage or disadvantage evident in these price distributions evolves over time, and whether goods characteristics play a role for the persistence of these LOP deviations. LOP deviations for these goods are highly correlated over 5‐ or 10‐ year horizons, and correlations remain significantly high over longer horizons. These correlations are greater for homogeneous as compared to differentiated goods and vary across countries. Finally, for most of these European economies and goods, price advantage is typically revealed to be more persistent than price disadvantage.     

Spending Reversals and Fiscal Multipliers under an Interest Rate Peg

This paper examines whether fiscal stimuli are more effective when the monetary policy is less responsive to inflation. First, we provide empirical evidence suggesting that, in the period of U.S. passive monetary policy, a positive government spending shock was followed over time by a spending cut. Second, our theoretical analysis reveals that the pegged nominal interest rate is not a sufficient condition to generate a large fiscal multiplier. An increase in government spending could increase the long‐run real interest rate, if it is associated with a government spending reversal and a less responsive monetary policy. Consequently, the response of private consumption can be negative and the government spending multiplier is not necessarily greater than 1.     

Labor market search, the Taylor principle, and indeterminacy

In a sticky-price model with labor market search and matching frictions, forecast-based interest rate policy almost always induces indeterminacy when it is strictly inflation targeting and satisfies the Taylor principle. Indeterminacy is due to a vacancy channel of monetary policy that makes inflation expectations self-fulfilling. The effect of this channel strengthens as the sluggishness of the adjustment of employment relative to that of consumption increases. When this relative sluggishness is high, the Taylor principle fails to ensure determinacy, regardless of whether the policy is forecast-based or outcome-based, whether it is strictly or flexibly inflation targeting, or contains policy rate smoothing.