the inflation tax in a real business cycle model money is incorporated into a real business cycle model using a cash in advance constraint the model economy is used to analyze whether the business cycle is different in high inflation and low inflation economies and to analyze the impact of variability in the growth rate of money in addition the welfare cost of the inflation tax is measured and the steady state properties of high and low inflation economies are compared

transactions costs and the optimal quantity of money this paper models a physical environment in which agents rationally choose to hold both fiat money and higher return capital this occurs because information barriers permit bona fide capital to be distinguished from bogus titles to capital and bogus ious only at a cost one implication is that the holding period for capital is greater than that for fiat money the information barriers also limit the government interventions that are feasible and in so doing overturn standard notions concerning the optimal quantity of money in this paper i model a physical environment in which agents rationally choose to hold both fiat money and a productive asset with a greater rate of return moreover the fiat money in this model circulates with a greater velocity than does the productive asset in this model agents live 3 period lives and are members of generations that overlap they receive an endowment of the model s single consumption good only in the first period of life and must therefore hold assets to provide for consumption in other periods of life when the consumption good is stored it only yields a return 2 periods after it was stored as a result storage can be used to provide for consumption in the third period of life the crucial assumptions of the model are restrictions on the infor

the distribution of money and prices in search equilibrium this article considers a search theoretic model of monetary exchange agents bargain over both the amount of money and the quantity of goods to be exchanged in bilateral meetings determining endogenously the distributions of money and of prices i show that money is neutral if changes in the money supply are accomplished via proportional transfers however within the class of lump sum transfers an increase of the rate of monetary expansion tends to decrease the dispersion of wealth and prices and to improve welfare when inflation is low but when inflation is high enough the opposite effects occur

natural resource prices will they ever turn up abstract natural resource theory predicts that natural resource rents should increase over time however technical progress in resource extraction environmental constraints or great natural abundance could result in stagnant or declining product prices thus there is no theoretical reason to believe that product prices will rise in the near future the prediction of product prices by time series methods is shown to depend critically upon whether the series are modeled as difference or trend stationary dickey fuller and lagrange multiplier tests are used to show that the series are difference stationary long and short sample series are tested trend stationary modeling strongly predicts rising resource prices the result from difference stationary modeling is that there is only a weak supposition that natural resource prices will rise

a model of debit card as a means of payment abstract this paper provides an explanation for both the rapid growth in the use of a debit card over time and the cross sectional difference in the use of a debit card using a search theoretic model the trade off between cash and a debit card as means of payment is incorporated such that a buyer incurs disutility cost proportional to the amount of cash holdings while a seller accepting a debit card bears a fixed record keeping cost regardless of transaction amount as record keeping cost decreases with the development of information technology over time disutility cost of cash holdings required for pairwise trade eventually exceeds record keeping cost so that all the agents with different wealth levels choose to use a debit card as a means of payment also disutility cost of cash holdings required for pairwise trade would be higher for the rich than for the poor implying the cross sectional feature of payment pattern that the rich use a debit card more frequently than the poor there are two distinct mechanisms that improve welfare as record keeping cost decreases one is to reduce deadweight loss from holding cash and the other is to reduce its distortionary effect on output produced in pairwise trade

a rudimentary random matching model with divisible money and prices abstract we consider a version of kiyotaki and wright s monetary search model in which agents can hold arbitrary amounts of divisible money a continuum of stationary equilibria indexed by the aggregate real money stock exists with all trading occurring at a single price there is always a maximum level of the real money stock consistent with existence of such an equilibrium in the limit as trading becomes faster relative to discounting any real money stock becomes feasible in such an equilibrium in contrast to the original kiyotaki wright model higher equilibrium real money stocks unambiguously correspond to higher welfare in this costless production environment journal of economic literature classification numbers d51 e40

common trends in economic activity and metals demand cointegration and the intensity of use debate abstract this research examines whether a long run stationary equilibrium relationship holds between aggregate income and consumption of various primary industrial metals using the theory of cointegrated processes it is possible to determine if metals consumption and income follow a common stochastic trend or whether the two variables tend to randomly drift apart over time little evidence is found to support the presence of a long run equilibrium relationship between income and metals consumption given this result researchers interested in estimation and inference based on reduced form structural or forecasting models of metals demand should be aware that standard econometric techniques may lead to false conclusions

the distribution of money balances and the nonneutrality of money recent monetary models with explicit microfoundations are made tractable by assuming that agents have access to centralized markets after one round of decentralized trade given quasi linear preferences this makes the distribution of money degenerate which keeps the models simple but precludes the discussion of distributional effects of monetary policy we generalize these models by assuming two rounds of trade before agents can readjust their money holdings to study a range of new distributional effects analytically we show that unexpected symmetric lump sum money injections may increase short run output and welfare whereas asymmetric injections may increase long run output and welfare

efficient monetary allocations and the illiquidity of bonds abstract we construct a monetary economy with heterogeneity in discounting and consumption risk agents can insure against this risk with money and nominal government bonds but all trades must be monetary we demonstrate that a deflationary policy a la friedman cannot sustain the constrained efficient allocation as no arbitrage imposes too stringent a bound on the return money can pay the constrained efficient allocation can be sustained when bonds have positive yields and under certain conditions only if they are illiquid illiquidity meaning that bonds cannot be transformed into consumption as easily as cash is necessary to eliminate arbitrage opportunities due to disparities in shadow interest rates

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

search bargaining money and prices the goal of this paper is to extend existing search theoretic models of fiat money which until now have assumed that the price level is exogenous by explicitly incorporating bilateral bargaining this allows us to determine the price level endogenously and leads to additional insights concerning the role of money for example we find that monetary equilibria are generally inefficient in the sense that output and prices differ from the solution to a social planner s problem although the difference can become small as the discount rate or search friction vanishes we also find that there exist nonstationary inflationary equilibria

liquidity redistribution and the welfare cost of inflation abstract 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

coexistence of money and interest bearing securities abstract a random matching model with money is used to study the nominal yield on small denomination bearer safe discount securities issued by the government there is always one steady state with matured securities circulating at par and for some parameters another with them circulating at a discount in the former a necessary and sufficient condition for a positive nominal yield on not yet matured securities is exogenous discriminatory treatment of them by the government in the latter the post maturity discount on securities induces a deeper pre maturity discount even without such discriminatory treatment

modeling denomination structures previous work on the denomination structure of currency treats as exogenous the distribution of transactions and the denominations held by people here by way of a matching model both are endogenous in the model trades in pairwise meetings alternate in time with the opportunity to freely choose a portfolio of denominations and there is a trade off between the benefits of small denomination money for transacting and the costliness of carrying a large quantity of small denomination money for a given denomination structure a monetary steady state is shown to exist the model implies that too small denominations are abandoned

trends in natural resource commodity prices deterministic or stochastic abstract the type of trend be it stochastic or deterministic exhibited by the price of a resource commodity should play a critical role in the development and empirical verification of theories which may explain its long run behavior the nature of the trend however can only be discerned through empirical testing to this end we present a menu of unit root testing procedures for characterizing observed trends in any economic time series including natural resource commodity prices we examine the prices of 11 resource commodities the evidence suggests that five price series exhibit stochastic trends while the remaining six price series appear to be stationary around a deterministic trend

money and price dispersion we relax restrictions on the storage technology in a prototypical monetary search model to study price dispersion in this case buyers and sellers enter matches with potentially different willingness to trade across the distribution of possible bilateral matches prices generally will differ even though agents have identical preferences and technologies we provide existence conditions for a particularly simple equilibrium pattern of exchange we prove that in the limiting case where search frictions are eliminated equilibrium prices are uniform we also show that a higher initial money stock can raise the average price level and increase price dispersion

dynamic monetary equilibrium in a random matching economy this article concerns an infinite horizon economy where trade must occur pairwise using a double auction mechanism and where fiat money overcomes lack of double coincidence of wants traders are anonymous and lack market power goods are divisible and perishable and are consumed at every date preferences are defined by utility stream overtaking money is divisible and not subject to inventory constraints the evolution of individual and economywide money holdings distributions is characterized there is a welfare ordered continuum of single price equilibria reflecting indeterminacy of the price level rather than of relative prices

nonlinear integration of london and amsterdam stock markets in the 1700s the financial markets in london and amsterdam were some of the first to develop using threshold autoregressive models we use data on two commonly traded stocks in these cities to show that the joint behaviour of the prices is consistent with the theory of arbitrage in the presence of transportation costs the results suggest that prices converged more quickly as the price difference between the two markets increased we also show that the threshold estimates are consistent between assets and across time these results provide some of the earliest evidence of nonlinear mean reversion in asset prices in geographically separate financial markets

have air pollutant emissions converged among u s regions evidence from unit root tests previous studies of income distribution have found evidence indicating that incomes across u s regions have converged supporting the prediction of the neoclassical growth model a potential shortcoming in these studies is that only one measure of well being is considered a measure of wealth linked to incomes or production this paper examines whether income convergence was accompanied by air pollutant emission convergence results from unit root tests provide some evidence that indicators of environmental quality have converged across u s regions during the 1929 1994 period

grade selection under uncertainty least cost last and other anomalies abstract grade selection rules for heterogeneous resource deposits with increasing marginal extraction costs are derived it is shown that contrary to the conventional wisdom it can be optimal to extract the least cost deposits last there are a number of rules that are compatible with dynamic profit maximization under certainty nevertheless none explains empirical regularities in actual extraction patterns when uncertainty about future price is introduced however the theoretical model conforms closely not only to observed grade selection patterns but also to observed mineral industry price paths

heterogeneity and lotteries in monetary search models we introduce ex ante heterogeneity into the berentsen molico and wright monetary search model with lotteries we show that their three main results regarding lotteries do not survive this modification of the environment

nominal bonds and interest rates in this article i integrate the microfoundation of monetary theory with the model of limited participation to analyze the competition between nominal bonds and money the market for government nominal bonds is centralized and walrasian whereas the goods market is modeled as random matches the government imposes a legal restriction that requires all government goods to be purchased with money but not with bonds by contrast private agents can exchange between themselves with both money and bonds i show that an arbitrarily small legal restriction is sufficient to prevent matured bonds from being a medium of exchange i also analyze the effects of monetary policy with and without the legal restriction some of those effects differ significantly from traditional monetary models

return on commodity money small change problems and fiat money we construct a search theoretic model of commodity money where a penny is an indivisible silver coin that can be either melted into a silver bar yielding a positive return or used as a medium of exchange in equilibria where the rate of return on silver is sufficiently high small change problems arise in the form of too much trade inefficiency because of a too high value of a penny and no trade inefficiency because of a shortage of coins in circulation in the fiat money system however trades are not affected at all by the rate of return on silver and the value of a penny is determined by its medium of exchange role without incurring the loss in efficiency due to small change problems

this is what happened to the oil price macroeconomy relationship abstract many of the quarterly oil price increases observed since 1985 are corrections to even bigger oil price decreases the previous quarter when one looks at the net increase in oil prices over the year recent data are consistent with the historical correlation between oil shocks and recessions

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

persistence and cycles in historical oil price data abstract this paper deals with the analysis of two observed features in historical oil price data in particular persistence and cyclicity using monthly data from september 1859 to october 2013 we observe that the series presents two peaks in the spectrum one occurring at the long run or zero frequency and the other at a cyclical frequency these features can be well described in terms of a long memory model that incorporates both peaks in the spectrum it is found that the order of integration at the zero frequency is about 0 6 and the one at the cyclical frequency is substantially smaller of about 0 3 with the length of the cycles being approximately of about 74 periods months which is consistent with the length suggested by the business cycle theory

money and prices a model of search and bargaining abstract this paper makes commodities divisible and incorporates bargaining into the search theoretic model of money to determine the purchasing power of money or price it is shown that two monetary equilibria always coexist where fiat money is universally accepted the two equilibria differ in price output welfare and the velocity of money sunspot monetary equilibria exist in which money is universally accepted in all states of the economy multiplicity has novel implications on the effectiveness of currency substitution and exchange market intervention journal of economic literature classification numbers c78 e40

indivisibilities lotteries and monetary exchange we introduce lotteries randomized trading into search theoretic models of money in a model with indivisible goods and fiat money we show goods trade with probability 1 and money trades with probability where 1 iff buyers have sufficient bargaining power with divisible goods a nonrandom quantity q trades with probability 1 and again money trades with probability where 1 iff buyers have sufficient bargaining power moreover q never exceeds the efficient quantity not true without lotteries we consider several extensions designed to get commodities as well as money to trade with probability less than 1 and to illuminate the efficiency role of lotteries

trends in natural resource commodity prices an analysis of the time domain abstract this paper attempts to reconcile the theoretical predictions of increasing real prices for nonrenewable natural resource commodities obtained from hotelling style models with the empirical findings of falling prices for these commodities a theoretical model for relative price movements is derived for the case of exogenous technical change and endogenous change in the grade of ores mined the model suggests a u shaped time path for relative prices the implied price movements are tested for all the major metals and fuels and the model parameters are found to be statistically significant for 11 out of the 12 commodities tested

pairwise trade and coexistence of money and higher return assets abstract a new theory of coexistence of money and higher return assets is set out it applies to any setting in which some trade involves an exchange of goods for assets and occurs between two people a buyer and a seller we show that there exists a function mapping the portfolios of the buyer and the seller to the trade that occurs such that i the trade is in the buyer seller core and ii some people are induced to enter the buyer seller meeting with money

non renewable resource prices deterministic or stochastic trends in this paper we examine temporal properties of 11 natural resource real price series from 1870 to 1990 recent studies by ahrens and sharma trends in natural resource commodity prices deterministic or stochastic j environ econom manage 33 1997 59 74 berck and roberts natural resource prices will they ever turn up j environ econom manage 31 1996 65 78 and slade grade selection under uncertainty least cost last and other anomalies j environ econom manage 15 1988 189 205 among others find that many non renewable resource prices have a stochastic trend we revisit this issue by employing a lagrangian multiplier unit root test that allows for two endogenously determined structural breaks with and without a quadratic trend contrary to previous research we find evidence against the unit root hypothesis for all price series our findings support characterizing natural resource prices as stationary around deterministic trends with structural breaks we additionally show that both pre testing for unit roots with breaks and allowing for breaks in the forecast model can improve forecast accuracy overall the results in this paper are important in both a positive and normative sense without an appropriate understanding of the dynamics of a time series empirical verification of theories forecasting and proper inference are potentially fruitless