The variability of velocity of money in a search model

We construct a dynamic equilibrium model where there is costly search in the goods market and the labor market. Incorporating shocks to money growth and productivity, we calibrate the model to the US time series data to examine the model's quantitative predictions on aggregate variables and, in particular, on the variability of consumption velocity of money. Despite the fact that money is the only asset, the model captures most of the variability of velocity in the data. It also generates realistic predictions on the moments of other variables and provides persistent propagation of the shocks. The model generates these results largely because costly search gives an important role to the extensive margin of trade.     

Inflation and productive activity in a multiple-matching model of money

This paper investigates the relationship between money growth, inflation, and productive activity in a dynamic general-equilibrium, multiple-matching framework where trade frictions are manifested by limited consumption variety. Productive activity and matching in the goods market are endogenized by a time allocation decision of work and search effort. We find that a high degree of complementarity between participation in the labor and goods markets creates a channel by which inflation can positively influence production and output. This feature arises when household preferences for consumption variety is sufficiently large and it can also lead to the multiplicity of monetary equilibria.     

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.     

Banks, private money, and government regulation

We study competition between inside and outside money in economies with trading frictions and financial intermediation. Claims on banks circulate if the redemption rate is low. When the quantity of fiat money is scarce, coexistence of inside and outside money dominates equilibria with a unique medium of exchange. If outside money is ample, banks choose to redeem claims in outside money, which increases welfare. Under binding reserve requirements, tightening monetary policy leads to credit rationing. Our results support recent trends toward lower reserve requirements. However, we also identify situations where restrictions on note issue are beneficial.     

A model in which monetary policy is about money

Optimal monetary policy is studied in a model with (i) heterogeneity in the degree to which different people are monitored (have publicly known histories); (ii) idiosyncratic shocks that give rise to heterogeneity in earning and spending realizations; and (iii) central-bank intervention in a “market” in claims or credit in which the participants are those who are heavily monitored. A special case of the model has everyone perfectly monitored. In that case, there is no role for money and no role for central-bank intervention. In the example displayed with imperfect monitoring, optimal intervention is not simple.     

A multisectorial matching model of unions

We develop an equilibrium matching model where unions have an important institutional presence. Monopolistic competition characterizes the goods market, where only some sectors are unionized. Thus, the model can vary the coverage of collective bargaining. It can vary the degree of coordination between unions, and alternatively consider “national” and “sectorial” unions. Calibration to the union premium implies a workers’ rent extraction parameter much lower than assumed in the matching literature. We introduce unemployment insurance to study the interactions of policies with unions and find that unions only push for more generous benefits if this does not entail higher payroll taxes.     

On money and output: Is money redundant?

There is an emerging consensus that money can be largely ignored in making monetary policy decisions. Rudebusch and Svensson [1999, Policy Rules and Inflation Targeting. In Taylor, J.B. (Ed.), Monetary Policy Rules. University of Chicago Press, Chicago, 203-246; 2002, Eurosystem Monetary Targeting: Lessons from US Data. European Economic Review 46, 417-442] provide some empirical support for this view. We reconsider the role of money and find that money is not redundant. More specifically, there is a significant statistical relationship between lagged values of money and the output gap, even when lagged values of real interest rates and lagged values of the output gap are accounted for. We also find that inside and outside money provide significant information in predicting movements in the output gap.     

Extracting inflation expectations and inflation risk premia from the term structure: A joint model of the UK nominal and real yield curves

This paper analyses the UK interest rate term structure over the period since October 1992, when the United Kingdom adopted an explicit inflation target, using an affine term structure model estimated using both government bond yields and survey data. The model imposes no-arbitrage restrictions across nominal and real yields, which enables interest rates to be decomposed into expected real policy rates, expected inflation, real term premia and inflation risk premia. The model is used to shed light on major developments over the period, including the impact of Bank of England independence and the low real bond yield ‘conundrum’.     

A model of commodity money

Commodity money is modeled as one or two of the capital goods in a one-consumption good and one or two capital-good, overlapping generations model. Among the topics addressed using versions of the model are (i) the nature of the inefficiency of commodity money, (ii) the validity of quantity-theory predictions for commodity money systems, (iii) the circumstances under which one commodity emerges naturally as the commodity money, (iv) the role of inside money (money backed by private debt) in commodity money systems and (v) the circumstances under which a government can choose the commodity to serve as the commodity money.     

Alternative central bank credit policies for liquidity provision in a model of payments

I explore alternative central bank policies for liquidity provision in a model of payments. I use a mechanism design approach so that agents’ incentives to default are explicit and contingent on the credit policy designed. In the first policy, the central bank invests in costly enforcement and charges an interest rate to recover costs. I show that the second-best solution is not distortionary. In the second policy, the central bank requires collateral. If collateral does not bear an opportunity cost, then the solution is first best. Otherwise, the second best is distortionary because collateral serves as a binding credit constraint.     

Inflation and Welfare: A Search Approach

This paper uses a search model of monetary exchange to provide new insights for evaluating the welfare costs of inflation. We first show that the search model of money can rationalize the estimates of the welfare cost of inflation based on the "welfare triangle" methodology of Bailey (1956) and Lucas (2000) provided that buyers appropriate the social marginal benefit of their real balances. For other mechanisms, the measure given by the welfare triangle has to be scaled up by a factor that increases with sellers' market power. We introduce capital and endogenous participation decisions and study how the cost of inflation is affected. We provide calibrated examples in which a deviation from the Friedman rule is optimal.     

A note on “Inflation and Welfare”

This note provides an analytical confirmation and a refinement of [Lucas Jr., R.E., 2000. Inflation and welfare. Econometrica 68 (62), 247–274 (March)] numerical findings regarding the characterization of optimality in the shopping-time model presented in that paper. The original numerical analysis concludes that a coefficient of risk aversion (σ) greater than 0.01 is sufficient for optimality. Here we use Arrow’s sufficiency theorem to confirm this result and, more importantly, to show without more calculations how changes in parameters can affect it.     

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.     

Euler equations and money market interest rates: A challenge for monetary policy models

Standard macroeconomic models equate the money market rate targeted by the central bank with the interest rate implied by a consumption Euler equation. We use U.S. data to calculate the interest rates implied by Euler equations derived from a number of specifications of household preferences. Correlations between these Euler equation rates and the Federal Funds rate are generally negative. Regression results and impulse response functions imply that the spreads between the Euler equation rates and the Federal Funds rate are systematically linked to the stance of monetary policy. Our findings pose a fundamental challenge for models that equate the two.     

The eurosystem money market auctions: A banking perspective

This paper analyzes the individual bidding behavior of German banks in the money market auctions conducted by the ECB from the beginning of 2000:IIIQ to the end of 2001:IQ. Our approach takes a variety of characteristics of the individual banks into account, particularly variables that capture the different use of liquidity and the different attitude towards liquidity risk of the individual banks. It turns out that these characteristics are reflected in banks’ bidding behavior. Thus, our study contributes to a deeper understanding of the way liquidity risk is managed in the banking sector.     

Understanding European unemployment with matching and search-island models

To understand European and American unemployment during the last 60 years, we use a search-island model and four matching models with workers who have heterogeneous skills and entitlements to government benefits. When there is higher turbulence, in the sense of worse skill transition probabilities for workers who suffer involuntary layoffs, high government mandated unemployment insurance (UI) and employment protection (EP) in Europe increase unemployment rates and durations. But when there is lower turbulence, high European EP suppresses unemployment rates despite high European UI. Four matching models differ in how they assign unemployed workers to matching functions. That affects how strongly unemployment responds to increases in turbulence. Heterogeneity among unemployed workers highlights the central role of adverse labor market externalities in matching models and reveals that the cost of posting vacancies is the lynchpin of a matching model.     

A Clower constraint model of unbacked money

The stylized monetary facts — (1) money growth causes inflation, (2) inflation is bad, (3) money demand depends upon the nominal interest rate, (4) the real interest rate equals a parametrically fixed rate of time preference, and (5) investment depends upon the real interest rate — are produced in a Grandmont-Younes modified Clower constraint model of money. Inflation is distorting, but is no one's intertemporal rate of substitution. Inflation discourages trade, but not investment. As a by-product the Friedman hypothesis, that the optimal deflation equals the rate of time preference, is confirmed in the model.     

Social norms and money

In an economy where there is no double coincidence of wants and without public record-keeping of past transactions, money is usually seen as the only mechanism that can support exchange. In this paper we show that, as long as the population is finite and agents are sufficiently patient, a social norm establishing gift-exchange can substitute for money. However, for a given discount factor, population growth eventually leads to the breakdown of the social norm. Additionally, increases in the degree of specialization in the economy can also undermine the social norm. By contrast, monetary equilibrium exists independent of the population size. We conclude that money is essential as a medium of exchange when the population is large.     

Money with partially directed search

Partially directed search replaces the total randomness of monetary search models. Agents choose whether to stay in their production location or visit other locations. Each visiting agent randomly chooses one shop among many in each location. As in random matching models, a commodity or fiat object can endogenously become money, but the details are richer and conform better with evidence: any commodity can be money; the “best” commodity is the most likely money; fiat money can totally crowd out commodity money in an asymmetric environment; going shopping is more likely than door-to-door sales. The model nests Walrasian equilibria.     

Money and macroeconomic performance: revisiting divisia money

Recent research suggests that the relation between money and the macroeconomy has sharply weakened in the U.S. after 1980. We reexamine this alleged breakdown by testing for cointegration between the macroeconomy and simple-sum and Divisia monetary aggregates. We check the robustness of our results by modeling multiple key breakpoints around the early 1980s. Unlike the case of simple-sum monetary aggregates, the evidence is overwhelming in its support for cointegration between Divisia money and macroeconomic variables, which persists despite several policy shifts and dramatic financial innovations in the post-1980 period. These results support Divisia money over simple-sum monetary aggregates as a guide in the implementation of monetary policy.