directed matching and monetary exchange we develop a model of monetary exchange where as in the random matching literature agents trade bilaterally and not through centralized markets rather than assuming they match exogenously and at random however we determine who meets whom as part of the equilibrium we show how to formalize this process of directed matching in dynamic models with double coincidence problems and present several examples and applications that illustrate how the approach can be used in monetary theory some of our results are similar to those in the random matching literature others differ significantly

parity reversion in real exchange rates during the post bretton woods period abstract a common view among recent studies on purchasing power parity is that the post bretton woods period is far too short to reveal any significant parity reversion in individual series of real exchange rates is this really so the answer this study shows depends very much on the statistical test being used two efficient univariate unit root tests are applied to uncover parity reversion these tests require much shorter sample sizes than conventional tests to attain the same statistical power empirical results show that parity reversion can be unveiled over the modern float if an efficient unit root test is applied

anonymous markets and monetary trading abstract we study infinite horizon monetary economies characterized by trading frictions that originate from random pairwise meetings and commitment and enforcement limitations we prove that introducing occasional trade in centralized markets opens the door to an informal enforcement scheme that sustains a non monetary efficient allocation all is required is that trading partners be patient and their actions be observable we then present a matching environment in which trade may occur in large markets and yet agents trading paths cross at most once this allows the construction of models in which infinitely lived agents trade in competitive markets where money plays an essential role

the influence of price presentation order on consumer choice abstract existing theory and prior research suggest that consumers perceive purchase prices more less favorably when they are preceded by higher lower prices however to date researchers have found these effects in contexts in which the product and thus perceived quality is held constant given that consumers commonly believe price and quality are positively correlated and that price quality perceptions have been shown to influence price evaluations and willingness to pay the generalizability of existing research to commonly encountered contexts is questionable in this research the authors examine the influence of price order on consumer choice across differing brands in contexts in which consumer quality perceptions are free to covary with price and they are manipulated to be correlated or uncorrelated with price using reference dependence theory as a framework they find that when differing brand options are presented in descending price order consumers tend to choose higher price options whe

is purchasing power parity overvalued the purpose of this paper is to re examine the hypothesis of long run purchasing power parity among industrial countries under the current float using the panel data approach we propose a new finite sample panel data unit root test procedure that allows for a general serial correlation structure and arbitrary contemporaneous correlation in model innovations across countries this procedure is then applied to the recently developed panel data unit root tests of im pesaran and shin 1996 and of maddala and wu 1999 the test results show sufficient evidence against the unit root null for most samples by comparing our results with the existing ones in the literature we found that the method of assuming a restrictive serial correlation structure tends to weaken evidence against the unit root null

purchasing power parity and unit root tests using panel data abstract this paper reports the results of unit root tests for real exchange rates using a panel framework this panel approach provides greatly improved power compared to conventional univariate time series unit root tests we obtain evidence supporting ppp over the recent flexible exchange rate period for g 6 and oecd countries we show explicitly that failure to find such evidence in previous research was due to the low power of the tests

money as a unit of account we develop a theory that rationalizes the use of a dominant unit of account in an economy agents enter into non contingent contracts with a variety of business partners trade unfolds sequentially in credit chains and is subject to random matching by using a dominant unit of account agents can lower their exposure to relative price risk avoid costly default and create more total surplus we discuss conditions under which it is optimal to adopt circulating government paper as the dominant unit of account and the optimal choice of currency areas when there is variation in the intensity of trade within and across regions

price index convergence among united states cities we study the dynamics of price indices for major u s cities using panel econometric methods and find that relative price levels among cities mean revert at an exceptionally slow rate in a panel of 19 cities from 1918 to 1995 we estimate the half life of convergence to be approximately nine years the surprisingly slow rate of convergence can be explained by a combination of the presence of transportation costs differential speeds of adjustment to small and large shocks and the inclusion of nontraded goods prices in the overall price index do price indices in major u s cities share a common trend and if so how quickly do they revert to that trend following a local shock to the price index to answer this question we study the dynamics of consumer price indices for 19 major u s cities over the period from 1918 to 1995 the panel time series methods we employ are now commonly used for studying real output growth rates and levels of real exchange rates across countries we estimate that price index divergences across u s cities are temporary but surprisingly persistent with a half life of nearly nine years our research has two primary motivations first we hope to gain a better understanding of the sources of persistence in the deviations from purchasing power parity ppp found in studies of national price indices and exchange rate data second and more importantly we see the european monetary union as having many similarities to the united states and believe that studying the behavior of prices across u s cities will help us in understanding the likely nature of inflation convergence in the euro area the european central bank s stated inflation objective is a year on year change in the harmonized index of consumer prices hicp of not more than 2 but how large might we expect regional deviations from this euro area wide average to be and how long are they likely to persist the lack of data prevents us from answering this question directly using european prices under monetary union instead we look to the united states a mature common currency area of similar regional diversity size and industrial development

money unit of account and nominal rigidity abstract in order to characterize the properties required to fulfill the roles of money as a unit of account uoa as well as a medium of exchange moe we consider the choice of a uoa in the context of a micro founded model where inflation uncertainty exists and some conversion cost is incurred in using a uoa that is different from an moe we show that it is not the level of inflation but its volatility that matters for the choice of a uoa in the presence of inflation uncertainty money can still become both an moe and a uoa as long as the conversion cost is higher than its maximum buyers are willing to bear for ensuring stable consumption against inflation uncertainty also the choice of a uoa in the presence of fiat money as an moe determines endogenously the nominal price rigidity or flexibility an economy adopting money as a uoa yields the short run nominal rigidity and the phillips curve relationship

inflation output and welfare this paper studies the effects of anticipated inflation on aggregate output and welfare within a search theoretic framework we allow money holders to choose the intensities with which they search for trading partners so inflation affects the frequency of trade as well as the quantity of output produced in each trade we consider the standard pricing mechanism for search models i e ex post bargaining as well as a notion of competitive pricing if prices are bargained over the equilibrium is generically inefficient and an increase in inflation reduces buyers search intensities output and welfare if prices are posted and buyers can direct their search search intensities are increasing with inflation for low inflation rates and decreasing for high inflation rates the friedman rule achieves the first best allocation and inflation always reduces welfare even though it can have a positive effect on output for low inflation rates

are real exchange rates nonstationary evidence from a panel data test it is well documented that real exchange rates between the united states and many industrialized countries in the post bretton woods period are integrated this result implies that purchasing power parity ppp does not hold even as a long run relationship this paper demonstrates that the failure to reject the unit root hypothesis may result from the low power of existing univariate test procedures i test for unit roots in real exchange rates by employing a more powerful panel based procedure using both cpi and wpi real dollar exchange rate data i strongly reject the null hypothesis of a unit root my results provide overwhelming support for the long run ppp under the current float copyright 1996 by ohio state university press

separation of unit of account from medium of exchange the separation of a unit of account uoa from a medium of exchange moe in the commodity money system is investigated by considering explicitly a seller s choice of uoa in terms of either an moe or a unit of metal weight if the likelihood of debasement of an moe and its rate are high enough the price is posted in terms of a unit of metal weight rather than an moe interestingly this moe uoa separated equilibrium yields the flexible nominal price whereas an moe uoa integrated equilibrium yields the sticky one this implies the nominal price rigidity in the fiat money system where moe and uoa are integrated

the purchasing power parity persistence paradigm abstract rogoff journal of economic literature 1996 34 647 668 describes the remarkable consensus of 3 5 year half lives of purchasing power parity deviations among studies using long horizon data these studies however focus on rejections of unit roots in real exchange rates and do not use appropriate techniques to measure persistence our half life estimates explicitly account for serial correlation sampling uncertainty and most importantly small sample bias calculating confidence intervals as well as point estimates for long horizon and post 1973 data we find that even though most of the point estimates lie within the 3 5 year range univariate methods provide virtually no information regarding the size of the half lives

whither monetary economics i argue that monetary economics should be pursued by applying implementation theory to models which contain explicit frictions that make money essential the argument has two parts first i argue that models in which real balances are assumed to be productive models with money in utility or production functions or with cash in advance constraints contain hidden inconsistencies second i argue that the approach advocated is capable of providing new insights about some of the main issues in monetary economics the effects of monetary shocks the welfare cost of inflation and the roles of inside and outside money

money in search equilibrium in competitive equilibrium and in competitive search equilibrium we compare three market structures for monetary economies bargaining search equilibrium price taking competitive equilibrium and price posting competitive search equilibrium we also extend work on the microfoundations of money by allowing a general matching technology and entry we study how equilibrium and the effects of policy depend on market structure under bargaining trade and entry are both inefficient and inflation implies first order welfare losses under price taking the friedman rule solves the first inefficiency but not the second and inflation may actually improve welfare under posting the friedman rule yields the first best and inflation implies second order welfare losses

money and capital as competing media of exchange we construct a model where capital competes with fiat money as a medium of exchange and we establish conditions on fundamentals under which fiat money can be both valued and socially beneficial when the socially efficient stock of capital is too low to provide the liquidity agents need they overaccumulate productive assets to use as media of exchange when this is the case there exists a monetary equilibrium that dominates the nonmonetary one in terms of welfare under the friedman rule fiat money provides just enough liquidity so that agents choose to accumulate the same capital stock a social planner would

on cross country differences in the persistence of real exchange rates abstract previous findings of long run purchasing power parity come mainly from data for industrial countries raising the issue of whether the results suffer sample selection bias and exaggerate the general relevance of parity reversion this study uncovers substantial cross country heterogeneity in the persistence of deviations from parity the results show that it is more likely rather than less likely to find parity reversion for developing countries than industrial countries although some persistence variations may partly reflect country differences in structural characteristics such as inflation experience and government spending a considerable portion of those variations seems unaccounted for

dissecting the ppp puzzle the unconventional roles of nominal exchange rate and price adjustments the conventional view as expounded by sticky price models is that price adjustment determines the ppp reversion rate this study examines the mechanism by which ppp deviations are corrected nominal exchange rate adjustment not price adjustment is shown to be the key engine governing the speed of ppp convergence moreover nominal exchange rates are found to converge much more slowly than prices with the reversion being driven primarily by nominal exchange rates real exchange rates also revert at a slower rate than prices as identified by the ppp puzzle j econ lit 34 1996 647 c 2003 elsevier b v all rights reserved

on money as a medium of exchange we analyze economies in which individuals specialize in consumption and production and meet randomly over time in a way that implies that trade must be bilateral and quid pro quo nash equilibria in trading strategies are characterized certain goods emerge endogenously as media of exchange or commodity money depending both on their intrinsic properties and on extrinsic beliefs there are also equilibria with genuine fiat currency circulating as the general medium of exchange we find that equilibria are not generally pareto optimal and that introducing fiat currency into a commodity money economy may unambiguously improve welfare velocity acceptability and liquidity are discussed

impulse response analysis of cointegrated systems abstract impulse response or dynamic multiplier analysis of vector autoregressive systems with cointegrated variables is considered the asymptotic distribution of the responses estimated with johansen s 1988 maximum likelihood procedure is derived the results are illustrated with an analysis of a west german money demand system the investigation shows that a direct interpretation of the cointegration relations may be difficult or misleading thereby the virtue of impulse response analysis for applied work is illustrated

a unified framework for monetary theory and policy analysis search theoretic models of monetary exchange are based on explicit descriptions of the frictions that make money essential however tractable versions of these models typically make strong assumptions that render them ill suited for monetary policy analysis we propose a new framework based on explicit micro foundations within which macro policy can be studied the framework is analytically tractable and easily quantifiable we calibrate the model to standard observations and use it to measure the cost of inflation we find that going from 10 percent to 0 percent inflation is worth between 3 and 5 percent of consumption much higher than previous estimates

a panel project on purchasing power parity mean reversion within and between countries abstract previous time series studies have shown evidence of mean reversion in real exchange rates deviations from purchasing power parity ppp appear to have half lives of approximately four years however the long samples required for statistical significance are unavailable for most currencies and are potentially inappropriate because of regime changes in this study we re examine deviations from ppp using a panel of 150 countries and 45 annual post wwii observations our panel shows strong evidence of mean reversion that is similar to that from long time series ppp deviations are eroded at a rate of approximately 15 annually i e their half life is around four years such findings can be masked in time series data but are relatively easy to find in cross sections

market frictions and real exchange rates abstract one explanation for the failure of purchasing power parity ppp is that market frictions impede trade allowing departures from ppp to grow quite large without precipitating goods arbitrage if this explanation is correct then other things equal large deviations from ppp should be less persistent than small differences this paper examines this prediction over the modern floating rate era the outcome is surprising between most countries large deviations from ppp appear to be at least as persistent as small deviations and perhaps even more so the exceptions are for some intra ec real exchange rates the implication is that market frictions alone do not explain the chimerical nature of ppp

money is memory abstract this paper examines the sets of feasible allocations in a large class of economic environments in which commitment is impossible following myerson 8 the standard definition of feasibility is adapted to take account of the lack of commitment the environments feature either memory or money memory is defined as knowledge on the part of an agent of the full histories of all agents with whom he has had direct or indirect contact in the past money is defined as an object that does not enter utility or production functions and is available in fixed supply the main proposition is that any allocation that is feasible in an environment with money is also feasible in the same environment with memory depending on the environment the converse may or may not be true hence from a technological point of view money is equivalent to a primitive form of memory journal of economic literature classification numbers e40 c73 d82

transactions costs and nonlinear adjustment in real exchange rates an empirical investigation eolquilibrium models of real exchange rate determination in the presence of transactions costs imply a nonlinear adjustment process toward purchasing power parity ppp conventional cointegration tests which ignore the effect of transactions costs may be biased against the long run ppp hypothesis our results using both monthly data for the interwar period and annual data spanning two centuries clearly reject the linear framework in favor of an exponential smooth transition autoregressive process the systematic pattern in the estimates of the nonlinear models provides strong evidence of mean reverting behavior for ppp deviations and helps explain the mixed results of previous studies

contracts and money why are contracts not fully indexed in a setting in which fully indexed contracts are feasible we find that when price level data are gathered with delay these contracts are not renegotiation proof the contracts that replace them entail a lower level of welfare for the parties to that contract they also imply that real variables respond to nominal shocks

searching for stationarity purchasing power parity under the current float abstract using panel data methods we investigate long run purchasing power parity by testing for unit roots in real exchange rates of industrial countries under the current float the evidence against the unit root hypothesis is stronger for larger than for smaller panels for monthly than for quarterly data and when the german mark rather than the united states dollar is used as the base currency while we find that accounting for serial correlation considerably weakens the evidence against the unit root null the results as a whole are consistent with long run purchasing power parity

understanding the empirical literature on purchasing power parity the post bretton woods era abstract this paper argues that the empirical failure of statistical tests of ppp in post bretton woods data is largely due to the low power of the tests employed this result is demonstrated using monte carlo experiments on the size and power of different testing procedures a new procedure based on horvath and watson econometric theory 11 pp 984 1014 1995 has greater power than previous approaches using the horvath watson procedure we find moderate evidence in favor of ppp in the post bretton woods era