Uncertainty,Inflation, and Welfare

This paper studies the welfare costs and the redistributive effects of inflation in the presence of idiosyncratic liquidity risk, in a microfounded search‐theoretical monetary model. We calibrate the model to match the empirical aggregate money demand and the distribution of money holdings across households and study the effects of inflation under the implied degree of market incompleteness. We show that in the presence of imperfect insurance the estimated long‐run welfare costs of inflation are on average 40% to 55% smaller compared to a complete markets, representative agent economy, and that inflation induces important redistributive effects across households.     

Inflation targeting: What inflation rate to target?

In an economy with nominal rigidities in both an intermediate good sector and a finished good sector, and thus with a natural distinction between CPI and PPI inflation rates, a benevolent central bank faces a tradeoff between stabilizing the two measures of inflation, a final output gap and, unique to our model, a real marginal cost gap in the intermediate sector, so that optimal monetary policy is second-best. We discuss how to implement the optimal policy with minimal information requirement and evaluate the robustness of these simple rules when the central bank may not know the exact sources of shocks or nominal rigidities. A main finding is that a simple hybrid rule under which the short-term interest rate responds to CPI inflation and PPI inflation results in a welfare level close to the optimum, whereas policy rules that ignore PPI inflation or PPI sector shocks can result in significant welfare losses.     

Inflation and Welfare in Long‐Run Equilibrium with Firm Dynamics

We analyze the welfare cost of inflation in a model with a cash‐in‐advance constraint and an endogenous distribution of establishments' productivities. Inflation distorts aggregate productivity through firm entry dynamics. The model is calibrated to the U.S. economy and the long‐run equilibrium properties are compared at low and high inflation. When the period over which the cash‐in‐advance constraint is binding is one quarter, an annual inflation rate of 10% leads to a decrease in average productivity of roughly 0.5% compared to the optimum. This decrease is not innocuous: it leads to a doubling of the welfare cost of inflation.     

Bargaining and the value of money

Search models of monetary exchange have typically relied on Nash [1950. The bargaining problem. Econometrica 18, 155-162] bargaining, or strategic games that yield an equivalent outcome, to determine the terms of trade. By considering alternative axiomatic bargaining solutions in a search model with divisible money, we show that the properties of the bargaining solutions do matter both qualitatively and quantitatively for questions of first-degree importance in monetary economics such as: (i) the efficiency of monetary equilibrium; (ii) the optimality of the Friedman rule and (iii) the welfare cost of inflation.     

Optimal monetary policy with durable consumption goods

We document that the durable goods sector is much more interest-sensitive than the nondurables sector, and then investigate the implications of these sectoral differences for monetary policy. We formulate a two-sector general equilibrium model that is calibrated both to match the sectoral responses to a monetary shock derived from our empirical VAR and to imply an empirically realistic degree of sectoral output volatility and comovement. While the social welfare function involves sector-specific output gaps and inflation rates, the performance of the optimal policy rule can be closely approximated by a simple rule that targets a weighted average of aggregate wage and price inflation. In contrast, a rule that stabilizes a more narrow measure of final goods price inflation performs poorly in terms of social welfare.     

On the Instability of Long‐Run Money Demand and the Welfare Cost of Inflation in the United States

We evaluate the policy implications of measuring the welfare cost of inflation accounting for instabilities in the long‐run money demand for the United States over the period 1900–2013. We extend the analysis and reassess the results reported in Lucas (2000) and Ireland (2009), also considering the recent theoretical contributions of Lucas and Nicolini (2015) and Berentsen, Huber, and Marchesiani (2015). Breaks in the long‐run money demand give rise to regime‐dependent welfare cost estimates. We find that the welfare cost is about 0.1% of annual income over 1976–2013, as compared to 0.8% over 1945–75. Overall, these values are substantially lower than those reported in the literature.     

A Tale of Two Growth Engines: Interactive Effects of Monetary Policy and Intellectual Property Rights

How do intellectual property rights that determine the market power of firms influence the growth and welfare effects of monetary policy? To analyze this question, we develop a monetary hybrid endogenous growth model in which R&D and capital accumulation are both engines of long‐run economic growth. We find that monetary expansion hurts economic growth and social welfare by reducing R&D and capital accumulation. Furthermore, a larger market power of firms strengthens these growth and welfare effects of monetary policy through the R&D channel but weakens these effects through the capital‐accumulation channel. Therefore, whether the market power of firms amplifies or mitigates the welfare cost of inflation depends on the relative importance of the two growth engines. Finally, we calibrate the model using data in the United States and the Euro Area to quantitatively evaluate and compare the welfare cost of inflation in these two economies and find that the R&D channel dominates in both economies.     

The welfare costs of expected and unexpected inflation

The monetary search model by Lagos and Wright (2005) is extended with imperfect information about nominal shocks as in Lucas (1972). An analytical solution exists with logarithmic preferences. In general, individuals hold precautionary balances. Calibrated to United States postwar data, the welfare cost of the monetary cycle is calculated to be small (below 0.0003% of GDP) compared to the welfare cost of the inflation tax (around 0.25% of GDP). The main reason for the minute welfare cost of the monetary cycle is its low amplitude in 1947-2007. But, monetary crashes, such as those experienced during the Great Depression, can generate important welfare costs.     

Optimal monetary policy under low trend inflation

In the monetary policy literature it is common to assume that trend inflation is zero, despite overwhelming evidence that zero inflation is neither empirically relevant nor a practical objective for central bank policy. We therefore extend the standard New Keynesian model to allow for positive trend inflation, showing that even low trend inflation has strong effects on optimal monetary policy and the dynamics of inflation, output and interest rates. Under discretion, the efficient policy deteriorates and there is no guarantee of determinacy. Even with commitment, targeting non-zero trend inflation leads to substantial welfare losses. Our results serve as a warning against indiscriminate use of models assuming zero trend inflation.     

Optimal monetary policy in a small open economy with staggered wage and price contracts

We study optimal monetary policy for a small open economy in a model where both domestic prices and wages are sticky due to staggered contracts. The simultaneous presence of the two forms of nominal rigidities introduces an additional trade-off between domestic inflation and the output gap. We derive a second-order approximation to the average welfare losses that can be expressed in terms of the unconditional variances of the output gap, domestic price inflation, and wage inflation. As a consequence, the optimal policy seeks to minimize a weighted average of these variances. We analyze welfare implications of several alternative simple policy rules, and find that domestic price inflation targeting generates relatively large welfare losses, whereas CPI inflation targeting performs nearly as well as the optimal rule.     

Monetary Policy,Asset Prices,and Liquidity in Over‐the‐Counter Markets

We develop a model where agents can allocate their wealth between a liquid asset, which can be used to purchase consumption goods, and an illiquid asset, which represents a better store of value. Should a consumption opportunity arise, agents may visit a frictional “over‐the‐counter” secondary asset market where they can exchange illiquid for liquid assets. We characterize how monetary policy affects both the issue price and the secondary market price of the asset. We also show that, in contrast to conventional wisdom, search and bargaining frictions in the secondary asset market can improve welfare if inflation is low.     

Trend inflation, wage and price rigidities, and productivity growth

What are the steady-state implications of inflation in a general-equilibrium model with real per capita output growth and staggered nominal price and wage contracts? Surprisingly, a benchmark calibration implies an optimal inflation rate of -1.9 percent. The analysis also shows that trend inflation has important effects on the economy when combined with nominal contracts and real output growth. Steady-state output and welfare losses are quantitatively important even for low values of trend inflation. Further, nominal wage contracting is found to be quantitatively more important than nominal price contracting in generating the results. This conclusion does not arise from price dispersion per se, but from an effect of nominal output growth on the optimal markup of monopolistically competitive labour suppliers. Finally, accounting for productivity growth is found to be important for calculating the welfare costs of inflation. Indeed, the presence of 2 percent productivity growth increases the welfare costs of inflation in the benchmark specification by a factor of four relative to the no-growth case.     

Optimal Fiscal Policy Rules in a Monetary Union

This paper investigates the importance of fiscal policy in providing macroeconomic stabilization in a monetary union. We use a microfounded New Keynesian model of a monetary union, which incorporates persistence in inflation and non-Ricardian consumers, and derive optimal simple rules for fiscal authorities. We find that fiscal policy can play an important role in reacting to inflation, output, and the terms of trade, but that not much is lost if national fiscal policy is restricted to react, on the one hand, to national differences in inflation and, on the other hand, to either national differences in output or changes in the terms of trade. However, welfare is reduced if national fiscal policy responds only to output, ignoring inflation.     

Monetary Policy Inclinations

We examine whether central banks should complement their inflation forecasts with interest rate projections. Introducing a central bank loss function that accounts for deviations from announcements, we incorporate the publication of policy inclinations into a dynamic monetary model. We show that in the presence of cost‐push shocks, the publication of interest rate forecasts tends to improve welfare.     

The Role of Inflation Target Adjustment in Stabilization Policy

How and under what circumstances can adjusting the inflation target serve as a stabilization-policy tool and contribute to welfare improvement? We answer these questions quantitatively with a standard New Keynesian model that includes cost-push-type shocks. Our proposed inflation target rule calls for the target to be adjusted in a persistent manner and in the opposite direction to the realization of a cost-push shock, which is essentially a makeup strategy. The inflation target rule, combined with a Taylor-type rule, significantly reduces inflation fluctuations originating from cost-push shocks and mitigates the stabilization trade-off, resulting in a similar level of welfare to that associated with the Ramsey optimal policy.     

Inflation dynamics: A cross-country investigation

We document that “persistent and lagged” inflation (with respect to output) is a world-wide phenomenon in that these short-run inflation dynamics are highly synchronized across countries. In particular, the average cross-country correlation of inflation is significantly and systematically stronger than that of output, while the cross-country correlation of money growth is essentially zero. We investigate whether standard monetary models driven by monetary shocks are consistent with the empirical facts. We find that neither the new Keynesian sticky-price model nor the sticky-information model can fully explain the data. An independent contribution of the paper is to provide a simple solution technique for solving general equilibrium models with sticky information.     

Liquidity, redistribution, and the welfare cost of inflation

The long-run welfare costs of inflation are studied in a micro-founded model with trading frictions and costly liquidity management. By modelling the liquidity management decision, the model endogenizes the responses of velocity, output, the degree of market segmentation, and the distribution of money. Compared to the traditional estimates based on a representative agent model, the welfare costs of inflation are significantly smaller due to distributional effects of inflation. The welfare cost of increasing inflation from 0% to 10% is 0.62% of consumption for the US economy. Furthermore, the welfare cost is generally non-linear in the inflation rate.     

Financial Innovations,Money Demand,and the Welfare Cost of Inflation

In the 1990s, the empirical relationship between money demand and interest rates began to fall apart. We analyze to what extent financial innovations can explain this breakdown. For this purpose, we construct a microfounded monetary model with a money market that provides insurance against liquidity shocks by offering short‐term loans and by paying interest on money market deposits. We calibrate the model to U.S. data and find that the introduction of the sweep technology at the beginning of the 1990s, which improved access to money markets, can explain the behavior of money demand very well. Furthermore, by allowing a more efficient allocation of money, the welfare cost of inflation decreased substantially.     

The case for inflation stability

We evaluate the case for inflation stabilization in a New Keynesian (NNS) model that includes various frictions, capital accumulation and a variety of shocks. In such a model, price rigidity may provide the monetary authorities with an opportunity to improve upon the inefficient flexible price equilibrium via the suitable cyclical manipulation of real marginal costs. We find that such an opportunity is of limited value and that a strong case for perfect inflation stabilization remains. Policies that tolerate a small amount of inflation variability may outperform perfect inflation targeting when capital adjustment costs are low and the monetary distortion is substantial but only if prices are very flexible.