Federal reserve policy viewed through a money supply lens

Federal Reserve nonborrowed reserve supply systematically responded to changes in inflation and in the output gap over the period 1969-2000. While the feedback from output gap is always negative, the response of money supply to changes in inflation varies considerably across time. Nonborrowed reserves decreased with inflation in the post-1979 period and increased in the pre-1979 period. Applying a standard macro-model, the estimated reaction functions are shown to ensure equilibrium determinacy. Viewed through the money supply lens, Federal Reserve policy substantially changed over time, but has never allowed for endogenous fluctuations, which contrasts conclusions drawn from federal funds rate analyses.     

Equilibrium Dynamics in an Endogenous Growth Model of Money and Banking

We construct an analytically tractable endogenous growth model of money and banking where money provides "liquidity services" to facilitate transactions and banks convert non-reserve deposits into productive capital. We examine both the long- and short-run effects of changes in the money growth rate or the reserve requirement ratio. In response to a change in the required reserve ratio, the inflation rate and the growth rates of capital, real balances, and consumption need not adjust monotonically along the transition path. While the balanced growth equilibrium may be either a saddle or a source locally, the global dynamical system exhibits flip bifurcation.     

The Phillips curve under state-dependent pricing

We derive a Phillips curve equation from the dynamic stochastic general equilibrium (DSGE) model with state-dependent pricing developed by Dotsey et al. [1999. State-dependent pricing and the general equilibrium dynamics of money and output. Quarterly Journal of Economics 114, 655-690]. This state-dependent Phillips curve encompasses the new Keynesian Phillips curve (NKPC) based on Calvo-type price setting as a special case. We analyze the effect of the state-dependent terms (that is, the variations in the distributions of price vintages) on inflation persistence, and we examine whether the hybrid NKPC (that is, the NKPC extended by a lagged inflation term) can adequately describe inflation dynamics generated in a calibrated state-dependent pricing economy.     

Implications of state-dependent pricing for dynamic macroeconomic models

State-dependent pricing (SDP) models treat the timing of price changes as a profit-maximizing choice, symmetrically with other decisions of firms. Using quantitative general equilibrium models which incorporate a “generalized (S,s) approach,” we investigate the implications of SDP for topics in two major areas of macroeconomic research, the early 1990s SDP literature and more recent work on persistence mechanisms. First, we show that state-dependent pricing leads to unusual macroeconomic dynamics, which occur because of the timing of price adjustments chosen by firms as in the earlier literature. In particular, we display an example in which output responses peak at about a year, while inflation responses peak at about 2 years after the shock. Second, we examine whether the persistence-enhancing effects of two New Keynesian model features, namely specific factor markets and variable elasticity demand curves, depend importantly on whether pricing is state dependent. In an SDP setting, we provide examples in which specific factor markets perversely work to lower persistence, while variable elasticity demand raises it.     

Wealth Distribution, Inflation Tax, and Societal Benefits of Illiquid Bonds

Illiquid nominal government bonds are shown to have two opposing effects on welfare. First, the relatively poor choose to top-up money balances for future consumption by purchasing nominal bonds at a discount. The wealth distribution becomes more centered with a smaller consumption deviation from the first best. Second, the higher inflation tax on monetary wealth to finance interest payments makes money less valuable, so that the quantity of output produced in exchange for money decreases. The trade-off between the welfare-enhancing effect on wealth distribution and the distortionary effect on output implies the socially optimal discount rate and liquidity.     

Dynamic pricing and imperfect common knowledge

Introducing private information into the dynamic pricing decision of firms by adding an idiosyncratic component to marginal cost can help explain two stylised facts about price changes: Aggregate inflation responds gradually and with inertia to shocks at the same time as individual price changes can be large. The inertial behaviour of inflation is driven by privately informed firms strategically ‘herding’ on the public information contained in the observations of lagged aggregate variables. The model also matches the average duration between price changes found in the data and it nests the standard New-Keynesian Phillips Curve as a special case. To solve the model, the paper derives an algorithm for solving a class of dynamic models with higher order expectations.     

The Macroeconomic Effects of Nonzero Trend Inflation

We study the macroeconomic effects of nonzero trend inflation in a simple dynamic stochastic general equilibrium model under three common time-dependent pricing schemes: Calvo, truncated-Calvo, and Taylor. We show that, regardless of the pricing mechanism, trend inflation leads to a reduction in the stochastic means of output, consumption and employment, and an increase in the stochastic mean of inflation beyond its deterministic steady-state level. The variability of most aggregates also increases. These effects are quantitatively much stronger with Calvo pricing.     

Money and the Welfare Cost of Inflation in an R&D Growth Model

This study analyzes the effects of inflation on R&D and innovation‐driven growth. In the theoretical section, we incorporate money demand into a quality‐ladder model with elastic labor supply and derive the following result. If the elasticity of substitution between consumption and the real money balance is less (greater) than unity, then R&D and the growth rate of output would be decreasing (increasing) in the growth rate of money supply. Quantitatively, decreasing inflation in the U.S. to achieve price stability improves social welfare, and the welfare gain is equivalent to at least 0.5% of annual consumption. In the empirical section, we use cross‐country data to establish a negative and statistically significant relationship between inflation and R&D.     

Endogenous nominal rigidities and monetary policy

Recent empirical research finds that the degree of nominal rigidities varies over monetary policy regimes. This implies that monetary policy analysis with exogenously given nominal rigidities is subject to the Lucas critique. We allow firms to choose the probability of price adjustment in a Calvo-style sticky price model, and analyze how this probability changes according to an inflation coefficient of the Taylor rule. The model shows that a more aggressive monetary policy response to inflation makes firms less likely to reset prices and gives the resulting New Keynesian Phillips curve a flatter slope and a smaller disturbance, as observed during the Volcker-Greenspan era. Also, such a policy response can stabilize both inflation and the output gap by exploiting the feedback effects of this policy response on firms’ price-setting. These results offer theoretical support for the good policy hypothesis about the Great Moderation.     

Why Money Growth Determines Inflation in the Long Run: Answering the Woodford Critique

Woodford argues that it is not appropriate to regard inflation in the steady state of New Keynesian models as determined by steady‐state money growth. Woodford instead argues that the intercept term in the monetary authority's interest rate policy rule determines steady‐state inflation. In this paper, I offer an alternative interpretation of steady‐state behavior, according to which it is appropriate to regard steady‐state inflation as determined by steady‐state money growth. The argument relies on traditional interpretations of the central bank's power in the long run and appeals to model properties that are common to textbook and New Keynesian analysis. According to this argument, the only way the central bank can control interest rates in the long run is via affecting inflation, and its only means available for determining inflation is by determining the money growth rate.     

Does Money Matter in Shaping Domestic Business Cycles? An International Investigation

We study the contribution of money to business‐cycle fluctuations in the United States, the United Kingdom, Japan, and the euro area using a small‐scale structural monetary business cycle model. Constrained likelihood‐based estimates of the parameters are provided and time instabilities analyzed. Real balances are statistically important for output and inflation fluctuations. Their contribution changes over time. Models giving money no role provide a distorted representation of the sources of cyclical fluctuations, of the transmission of shocks, and of the events of the last 40 years.     

Time Aggregation and the Relationship between Inflation and Money Growth

Using panel data for 99 countries, we confirm that the measured elasticity of prices with respect to money is higher, and closer to unity, the higher is money growth and the longer the time horizon over which the data are averaged. We propose two explanations. In one, the true model of inflation involves a lagged response to money growth. In the other, there is negative correlation between shocks to inflation and money growth. Our empirical results can be explained if high–money‐growth countries have (i) shorter lags or (ii) less negative correlation, when compared to countries with low money growth.     

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.     

Flexible inflation targeting and financial stability: Is it enough to stabilize inflation and output?

We investigate empirically whether a central bank can promote financial stability by stabilizing inflation and output, and whether additional stabilization of asset prices and credit growth would enhance financial stability in particular. We employ an econometric model of the Norwegian economy to investigate the performance of simple interest rate rules that allow a response to asset prices and credit growth, in addition to inflation and output. We find that output stabilization tends to improve financial stability. Additional stabilization of house prices, equity prices and/or credit growth enhances stability in both inflation and output, but has mixed effects on financial stability. In general, financial stability as measured by e.g., asset price volatility improves, while financial stability measured by indicators that depend directly on interest rates deteriorates, mainly because of higher interest rate volatility owing to a more active monetary policy.     

Cross-sectional heterogeneity and the persistence of aggregate fluctuations

The microevidence indicates that small firms grow faster than big firms. I argue that this relationship between the expected growth rate of a firm and its size may provide a microfoundation for the well-known high degree of persistence of shocks to aggregate output. The logic goes as follows. Almost any shock tends to temporarily alter firms' incentive to invest in growth thereby leading to a reallocation of firms across size categories. If small firms grow faster than big ones, the impact effect of the shock on aggregate output is gradually absorbed. But, as fast growing small firms become big and start to grow at the lower rate of big firms, the rate at which the shock is absorbed decreases over the adjustment path. As a result, shocks are absorbed, yet at a very low decreasing rate which induces long memory in aggregate output. I argue that this transmission mechanism may reconcile the microevidence with the observed degree of aggregate persistence. It requires changes in neither the number of firms in the market nor the rate of technological progress. It is merely the result of the cross-sectional heterogeneity that we observe in real economies.     

Monetary policy and distribution

A segmented markets model of monetary policy is constructed, in which a novel feature is goods market segmentation, and its relationship to conventional asset market segmentation. The implications of the model for the response of prices, interest rates, consumption, labor supply, and output to monetary policy are determined. As well, optimal monetary policy is studied, as are the costs of inflation. The model features persistent nonneutralities of money, relative price effects of increases in the money supply, persistent liquidity effects, and a negative Fisher effect from a money supply increase. A Friedman rule is in general suboptimal.     

Inflation Announcements and Social Dynamics

We propose a new framework for understanding the effectiveness of central bank announcements when firms have heterogeneous inflation expectations. Expectations are updated through social dynamics and, with heterogeneity, not all firms choose to operate, putting downward pressure on realized inflation. Our model rationalizes why countries stuck at the zero lower bound have had a hard time increasing inflation without being aggressive. The same model also predicts that announcing an abrupt target to disinflate will cause inflation to undershoot the target, whereas announcing gradual targets will not. We present new empirical evidence that corroborates this prediction.     

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.     

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.     

Monetary Policy and the Asset Risk‐Taking Channel

How important is the risk‐taking channel for monetary policy? To answer this question, we develop and estimate a quantitative monetary DSGE model where banks choose excessively risky investments, due to an agency problem that distorts banks' incentives. As the real interest rate declines, these distortions become more important and excessive risk taking increases, lowering the efficiency of investment. We show theoretically that this novel transmission channel generates a new monetary policy trade‐off between inflation and real interest rate stabilization, whereby the central bank may prefer to tolerate greater inflation volatility in order to lower excessive risk taking.