on the benefits of currency reform abstract money allows agents to achieve allocations that are not possible without it however currency in most economies is a uniform object and there may be incentive compatible allocations that cannot be implemented with a uniform currency we show that currency reform i e changing the monetary base by replacing one currency with another is a powerful tool that can enable a monetary authority to achieve a desired allocation our monetary mechanism with currency reform is anonymous and features a nonlinear exchange rate between currencies and a monotone value of money these results help interpret the characteristics of currency reforms observed in practice

practical operation strategies for pumped hydroelectric energy storage phes utilising electricity price arbitrage abstract in this paper three practical operation strategies 24optimal 24prognostic and 24hsitrocial are compared to the optimum profit feasible for a phes facility with a 360 mw pump 300 mw turbine and a 2 gwh storage utilising price arbitrage on 13 electricity spot markets the results indicate that almost all 97 of the profits can be obtained by a phes facility when it is optimised using the 24optimal strategy developed which optimises the energy storage based on the day ahead electricity prices however to maximise profits with the 24optimal strategy the day ahead electricity prices must be the actual prices which the phes facility is charged or the phes operator must have very accurate price predictions otherwise the predicted profit could be significantly reduced and even become a loss finally using the 24optimal strategy the phes profit can surpass the annual investment repayments required however over the 5 year period investigated 2005 2009 the annual profit from the phes facility varied by more than 50 on five out of six electricity markets considered considering the 40 year lifetime of phes even with low investment costs a low interest rate and a suitable electricity market phes is a risky investment without a more predictable profit

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

why market rules matter optimizing pumped hydroelectric storage when compensation rules differ abstract policies markets and technologies interact to create the modern electrical system integrating large amounts of electricity generated by variable renewable resources such as from wind and sunlight into electricity systems may require energy storage technologies to synchronize electricity production with electricity demand electricity markets compensate the performance of these energy storage technologies for the services they provide and these markets are often operated by regional independent system operators isos that specify the market rules for this compensation to examine how different iso rules can affect the operation and profitability an energy storage technology we develop a dynamic programming model of pumped hydroelectric storage phes facility operation under the market rules from the midcontinent iso and iso new england we present how differences in rules between these isos produced different operational strategies and profits and how important they are for phes profitability

an overlapping generations model for monetary policy analysis abstract we integrate an overlapping generations structure into the standard lagos and wright 2005 framework and show that mild inflation can be welfare improving the reason behind this result is that inflation induces young agents to reduce their savings and to increase their consumption which overpowers the utility loss of old agents however the beneficial effect disappears for higher inflation rates such that the optimal inflation rate is one at an intermediate level

monetary policy with asset backed money we study the use of asset backed money in a neoclassical growth model with illiquid capital a mechanism is delegated control of productive capital and issues claims against the revenue it earns these claims constitute a form of asset backed money the mechanism determines i the number of claims outstanding ii the dividends paid to claim holders and iii the structure of redemption fees we find that for capital rich economies the first best allocation can be implemented and price stability is optimal however for sufficiently capital poor economies achieving the first best allocation requires a strictly positive rate of inflation in general the minimum inflation necessary to implement the first best allocation is decreasing in capital wealth

credit and inflation under borrowerʼs lack of commitment here we investigate the existence of credit in a cash in advance economy where there are complete markets but for the fact that agents cannot commit to repay their debts defectors are banned from the credit market but they can use money balances for saving purposes without uncertainty deflation crowds out credit completely the equilibrium allocation however is efficient if the government deflates at the time preference rate efficiency can also be restored with positive inflation for any non negative inflation rate below the optimal level the volume of credit and the real interest rate increase with inflation our results hold when idiosyncratic uncertainty is introduced and households are sufficiently impatient but in one instance efficiency cannot be restored if the deflation rate is nearby the rate of time preference our numerical examples suggest that the optimal inflation rate is not too large for reasonable levels of patience and risk aversion finally we present a framework where the use of money arises endogenously and show that it is tantamount to our cash in advance framework our results hold in this modified environment

optimal monetary policy in a cash in advance economy i introduction this paper addresses the issue of optimal monetary policy within a particular general equilibrium model of the monetary transmission mechanism the model analyzed is a member of the recent class of liquidity models of the monetary business cycle 1 these liquidity models are something of a growth industry partly because they are potentially consistent with a monetary equilibrium in which monetary injections drive down nominal rates of interest and stimulate real activity stylized facts supported by evidence presented in for example christiano and eichenbaum 1992 an unexplored question is the role of monetary policy in these models this paper makes an attempt at remedying this deficiency by analyzing optimal monetary policy in a model with liquidity effects as in the liquidity models mentioned above the model analyzed here is constructed by imposing two trading frictions on an otherwise frictionless arrow debreu environment 2 the first is a requirement that all transactions be carried out in a decentralized fashion with the use of cash this friction is the well known cash in advance constraint first suggested by clower 1967 but now quite commonplace in models of monetary equilibrium as in lucas and stokey 1987 and cooley and hansen 1989 i impose this constraint because it is a tractable way of introducing a transactions demand for cash the qualitative results would be unaffected if a more general transactions technology was employed the second friction is unique to the liquidity models i assume that private agents cannot quickly move cash across markets this assumption of sluggish cash flow presumably motivated by transactions costs that are not explicitly modeled implies that cash may not be equally valued across markets with its value in a particular market determined by the amount of cash or liquidity contained in the market this friction introduces the so called liquidity effects on asset prices and real activity the paper proceeds as follows the next section develops the basic model and discusses the effects created by the assumed trading frictions section iii explores optimal monetary policy the nature of the trading frictions introduces a role for activist monetary policy in particular to the extent that the central bank can adjust liquidity more rapidly than the private sector there is a welfare improving role for monetary policy in some cases interest rate smoothing is a good idea while in others optimal policy will increase interest rate variability section iv links the results to the optimum quantity of money literature and offers up a few conclusions ii a model of monetary non neutrality the economy is populated with three types of agents households firms and financial intermediaries there are numerous identical agents of each type so that all behave as atomistic competitors given this assumption i will confine my discussion to a representative agent of each type the representative household is made up of two members a shopper and a worker the shopper s role is to use the household s assets to acquire consumption goods during each period while the worker supplies some portion of the household s time endowment equal to 1 each period to firms in exchange for payment the household s preferences over uncertain consumption and leisure streams are given by e summation of beta sup t u c sub t v 1 l sub t where t 0 to infinity where beta is an element of 0 1 c sub t and l sub t are time t consumption and work effort respectively v is increasing and concave and mathematical expression omitted the expectation is over realizations of the economy wide shocks the expression s sub t is an element of s subset r denotes the state of the world at time t where s is a compact set these states are i i d across time with a distribution function given by

money and credit in liquidity provision abstract this paper studies the liquidity provision in a model where the roles of money are challenged by other financial instruments alternative to money credit can be used as means of payment and rate dominating assets are available to serve as stores of value two features are found to be crucial in rendering money valuable in this environment information asymmetry in credit trading relationship and uncertainty in individuals liquidity demand in general the model economy can display a payment mechanism of money only credit only or mixed use of money and credit in transactions depending on the severity of the information asymmetry the optimal quantity of money in our paper is shown to contrast those in other monetary models

precautionary demand for money in a monetary business cycle model we investigate the quantitative implications of precautionary demand for money for business cycle dynamics of velocity of money and other nominal aggregates there is a standing challenge in monetary macroeconomics to account for business cycle dynamics of nominal variables as previous business cycle models that have tried to incorporate demand for money have failed to generate realistic predictions in this regard our stance is that part of this failure results from the fact that demand for money in those previous models is deterministic since agents in them face only aggregate risk whereas we believe idiosyncratic risk to be important as well we conduct the exercise inside a monetary search model as our additional goal is to put to the test a recent generation of such frictional models to examine whether their quantitative predictions are realistic and whether they generate additional insight into business cycle data that non search models of money cannot generate on the first question our results suggest that precautionary demand for money plays a substantial role in accounting for business cycle behavior of velocity of money and other nominal variables such as inflation and nominal interest rates on the second question our preliminary results indicate that the search frictions generate discernible though small quantitative effects helping the model account for relevant properties of the data but not very significantly the biggest quantitative potential for search frictions in this setting is in the dynamic implications they generate for inventories and markups in the retail sector assessment of this potential is in progress

coalition proof trade and the friedman rule in the lagos wright model the lagos wright model a monetary model in which pairwise meetings alternate in time with a centralized meeting has been extensively analyzed but always using particular trading protocols here trading protocols are replaced by two alternative notions of implementability one that allows only individual defections and one that also allows cooperative defections in meetings it is shown that the first best allocation is implementable under the stricter notion without taxation if people are sufficiently patient and if people are free to skip the centralized meeting then lump sum taxation used to pay interest on money does not enlarge the set of implementable allocations

heterogeneity redistribution and the friedman rule we study monetary models with nondegenerate stationary distributions of money holdings we find that the friedman rule does not typically maximize ex post social welfare an increase in the rate of growth of the money supply has two effects the standard distortionary or rate of return effect makes money a less desirable asset for all moneyholders a second redistributive effect creates a transfer from one type of agent to the other an increase in the rate of growth of money away from the friedman rule can produce a rate of return effect that dominates the standard effect

money and credit as means of payment a new monetarist approach abstract we study the choice of payment instruments in a model with money and credit where sellers must invest in a record keeping technology to accept credit and buyers have limited commitment our model captures the two sided market interaction between consumers and retailers that can generate multiple equilibria limited commitment yields an endogenous debt limit that depends on monetary policy money and credit coexist for a range of parameters and bargaining related hold up problems can lead to inefficiencies in the adoption of monitoring technologies changes in monetary policy generate multiplier effects in the credit market due to complementarities between consumer borrowing and the adoption of credit by merchants

money credit and banking in monetary models where agents are subject to trading shocks there is typically an ex post inefficiency since some agents are holding idle balances while others are cash constrained this problem creates a role for financial intermediaries such as banks who accept nominal deposits and make nominal loans in general financial intermediation improves the allocation the gains in welfare come from the payment of interest on deposits and not from relaxing borrowers liquidity constraints we also demonstrate that when credit rationing occurs increasing the rate of inflation can be welfare improving

incentive feasible deflation abstract for competitive economies in which the real rate of return on money is too low the standard prescription is to engineer a deflation that is to operate monetary policy according to the friedman rule implicit in this recommendation is the availability of a lump sum tax instrument in this paper i view lump sum tax obligations as a form of debt subject to default while individuals may want to honor such obligations ex ante a lack of commitment the sine qua non of modern monetary theory may prevent them from the following through on their promises ex post when this is the case there may exist an incentive induced limit to deflationary policy

the great capitol hill baby sitting co op anecdote or evidence for the optimum quantity of money this paper studies a centralized market with idiosyncratic uncertainty and money as a medium of exchange from a theoretical as well as an experimental perspective in our model prices are fixed and markets are cleared by rationing we prove the existence of stationary monetary equilibria and of an optimum quantity of money the rational solution of our model which is based on the assumption of individual rationality and rational expectations is compared with actual behavior in a laboratory experiment the theoretical results are strongly supported by this experiment

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

who is afraid of the friedman rule in this paper we explore the connection between optimal monetary policy and het erogeneity among agents we study a standard monetary economy with two types of agents in which the stationary distribution of money holdings is non degenerate sans type specific fiscal policy we show that the zero nominal interest rate policy the friedman rule does not maximize type specific welfare it may not maximize aggregate social welfare either indeed one or more surprisingly both types may benefit if the central bank deviates from the friedman rule our results suggest a positive explanation for why central banks around the world do not implement the friedman rule

money and collateral this paper presents a model in which money and collateral are both essential and complement each other as media of exchange the model has implications for asset prices output in ation and monetary policy both in steady state and

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

optimal money creation in pure currency economies a conjecture in a pure currency economy money is the only durable object and people have private histories in such economies taxation is not feasible and in some of them trade is enhanced through the use of money for economies of that kind in which a nondegenerate distribution of money part of the state of the economy affects trades and real outcomes and in which trades affect the state at the next date the conjecture is that there are transfer schemes financed by money creation that improve ex ante representative agent welfare relative to what can be achieved holding the stock of money fixed jel codes e52 e58 copyright 2014 oxford university press

an information based theory of international currency abstract this paper develops an information based theory of international currency based on search frictions private trading histories and imperfect recognizability of assets using an open economy search model with multiple competing currencies the value of each currency is determined without requiring agents to use a particular currency to purchase a country s goods strategic complementarities in portfolio choices and information acquisition decisions generate multiple equilibria with different types of payment arrangements while some inflation can benefit the country issuing an international currency the threat of losing international status puts an inflation discipline on the issuing country when monetary authorities interact in a simple policy game the temptation to inflate can lead optimal policy to deviate from the friedman rule the calibrated model can produce a welfare cost of losing international status for the issuing country larger than previous findings though estimates depend critically on inflation rates and information costs

the economic burden of corporate pension liabilities the pension liabilities reported by firms fall far short of the true economic pension liabilities incurred by firms economic liabilities arise not because firms have mnade a legally binding promise to provide a pension but because workers have deposited savings with their firnms in anticipation of receiving a pension upon retirement emnpirical evidence from labor market and stock market data strongly suggests that these savings flows are made by workers as if they expect a real pension at retirement and beyond the results suggest that corporations have in reality incurred liabilities far in excess of their legal liabilities true economic funding ratios for example have been approximately 70 per cent during the postwar period and have varied widely across pension plans if stock market participants calculate these true pension burdens inaccurately or rely only on reported liabilities then stock valuations are likely to contain large errors

money and credit redux do we need both money and credit in models with explicit roles for payment instruments we show the answer is no if credit is easy money is useless if credit is tight money can be essential but then credit is irrelevant and changes in debt limits are neutral real balances respond endogenously to leave total liquidity constant this is true for exogenous or endogenous policy and debt limits secured or unsecured credit and fairly general preferences and pricing mechanisms while we also show how to overturn some results the benchmark model suggests credit conditions matter less than some people think

the societal benefit of a financial transaction tax we provide a novel justification for a financial transaction tax for economies where agents face stochastic consumption opportunities a financial transaction tax makes it more costly for agents to readjust their portfolios of liquid and illiquid assets in response to liquidity shocks which increase both the demand for and the price of liquid assets the higher price improves liquidity insurance and welfare for other market participants we calibrate the model to u s data and find that the optimal financial transaction tax is 1 6 and that it reduces the volume of financial trading by 17

optimal monetary policy and economic growth abstract a question at the center of many analyses of optimal monetary policy is why do central banks never implement the friedman rule to the list of answers to this question we add neoclassical production specifically the tobin effect as one possible explanation to that end we study an overlapping generations economy with capital where limited communication and stochastic relocation create an endogenous transactions role for fiat money we assume a production function with a knowledge externality romer style that nests economies with endogenous growth ak form and those with no long run growth the diamond model the tobin effect is shown to be always operative under crra preferences a mild degree of social increasing returns is sufficient but not necessary for some positive inflation to dominate zero inflation and for the friedman rule to be sub optimal irrespective of the degree of risk aversion

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 holdings inflation and welfare in a competitive market this paper examines an environment where money is essential and agents exchange in perfectly competitive walrasian markets agents consume and produce a homogeneous good but hold money to purchase consumption in the event of a relatively low productivity shock a walrasian market delivers a non degenerate distribution of money holdings across agents and avoids some of the computational difficulties associated with the market and pricing assumptions of bilateral matching and bargaining common to search theoretic environments the model is calibrated to long run us velocity and the welfare costs of inflation are assessed for variable buyer seller ratios and persistent states of buying and selling

a model in which monetary policy is about money abstract 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

money as a mechanism in a bewley economy we study what features an economic environment might possess such that it would be pareto ecient for the exchange of goods in that environment to be conducted on spot markets where those goods trade for money we prove a conjecture that is essentially due to bewley 1980 1983 the gist is that monetary spot trading is nearly ecient ex ante in an environment where very patient agents can accumulate large enough money stocks to be completely self insured we also study examples where a nonmonetary mechanism is preferred ex ante to any monetary mechanism at least when the comparison is restricted to stationary equilibria and where an inflationary monetary mechanism is preferred ex ante to a laissez faire or deflationary monetary mechanism in an environment with impatient agents j e l classification e31 e42

the redistributive effects of inflation and the shape of money demand abstract i quantify the distributional effects of expected inflation in a sample of oecd countries using a microfounded model of money where agents differ in their consumption risk against which they can insure using money and government bonds the model is calibrated using harmonized wealth microdata from the luxembourg wealth study i find that the inflation tax is progressive for low inflation levels but it becomes regressive as inflation increases cut off points vary across countries and depend on discount factors and heterogeneity in consumption risk across agents moreover i find that the magnitude of inflation s distributional impact depends not only on wealth distribution but also and importantly on the curvature and height of the money demand curve indeed a higher and less elastic money demand leads to more regressive effects of inflation thus implying such effects are not necessarily stronger in a country with a more unequal wealth distribution

efficiency in a pure currency economy with inflation individuals who are buffeted by stochastic shocks will wish to substitute consumption intertemporally to effect this substitution they can enter into insurance contracts or they can use money this paper investigates the connection between optimum insurance and friedman s 1969 concept of the optimum quantity of money using a simplified version of lucas s 1980 pure currency economy monetary efficiency and efficient insurance are equivalent here an example is presented in which an efficient monetary equilibrium exists contrary to bewley s 1983 conjecture in the example the efficient rate of return on real balances is less than the internal rate of discount

lack of recall and centralized monetary trade we introduce lack of recall of past transactions as an alternative assumption to anonymity in a model where trade is centralized in environments where there is an intertemporal lack of double coincidence of wants problem and lack ofcommitment lack of recall can give rise to monetary equilibria that dominate nonmonetary outcomes in terms of welfare

monetary policy and endowment risk in a limited participation model i introduction an asset market segmentation model is constructed in this paper to study the risk sharing role of monetary policy economic agents face uninsurable endowment risk when there is limited asset market participation because an initial money injection goes first to those who can access the asset market money is nonneutral and monetary policy redistributes consumption across agents thus monetary policy plays a risk sharing role that provides crude insurance limited participation models that capture nonneutralities of money were initially developed by grossman and weiss 1983 and rotemberg 1984 and followed by lucas 1990 fuerst 1992 and chatterjee and corbae 1992 recently alvarez and atkeson 1997 alvarez lucas and weber 2001 and alvarez atkeson and kehoe 2002 have made important contributions but they focus on the implications of liquidity effects asset prices and the exchange rate instead of the risk sharing implications of monetary policy my model is built on alvarez lucas and weber 2001 there are two types of households traders who participate in the asset market and nontraders who do not these types are determined exogenously in each period traders receive constant endowments whereas nontraders face uninsurable endowment shocks in the asset market the government injects money through open market operations and traders initially receive the money injection in equilibrium money is nonneutral and monetary policy redistributes consumption between traders and nontraders the government money injection increases traders consumption and decreases nontraders consumption because traders get the money injection through the asset market whereas nontraders suffer from inflation if nontraders all receive the same endowment shock then monetary policy is a perfect risk sharing tool that can smooth out consumption across traders and nontraders however if nontraders receive idiosyncratic endowment shocks then monetary policy is not enough to perfectly insure nontraders although monetary policy does not achieve a pareto optimal allocation it can mitigate the dispersion of consumption across nontraders the optimal money growth rate can be positive or negative depending on the endowment distribution the friedman rule is not optimal in general there is a set of limited participation literature where the asset market is endogenously segmented chatterjee and corbae 1992 alavarez atkeson and kehoe 2002 chiu 2004 and chiu and molico 2007 although endogenous asset market segmentation is useful in some contexts for this paper nothing is lost by assuming exogenous segmentation and much is gained in simplicity models of the redistributional effects of monetary policy include levine 1991 shi 1999 berentsen camera and waller 2005 and molico 2006 the models studied by levine 1991 and mollico 2006 are particularly relevant levine 1991 studies an incomplete markets environment where positive money growth implemented through lump sum transfers can be optimal molico 2006 studies a search environment and shows similarly that positive inflation with lump sum transfers can be welfare enhancing but not at high rates of inflation in both the levine 1991 and molico 2006 environments there is an insurance role for monetary policy much as in the environment studied in this paper the model here has the virtue of being much more tractable than either the levine 1991 or molico 2006 models furthermore a novelty here is to study an insurance role for monetary policy in the context of market segmentation where the agents who received the first round effects of monetary policy do not wish to share risk among themselves the key risk sharing problem has to do with risk sharing between asset market participants and nonparticipants the remainder of the paper is organized as follows

on the timing of production decisions in monetary economies in most macroeconomic models inflation tends to be harmful in this paper we show that by simply changing the timing of production decisions by firms from on demand to in advance some inflation can boost welfare as long as goods are sufficiently perishable the main conclusion from this research is that by effectively hiding the strategic interaction between supply and demand assuming production on demand is not without loss of generality

liquidity and asset prices a new monetarist approach abstract when lenders cannot force borrowers to repay debts assets are often pledged to secure loans in this paper borrowers lose collateral once they renege on debts and exclusion of defaulters occurs probabilistically with a higher probability implying better enforcement increased efficiency in enforcement reduces asset prices while raising loan to value ratios if the rise in loan to value ratios is the dominant effect aggregate liquidity and output increase with the advance in enforcement inflation raises the repayment cost by increasing the loan rate while raising the default cost through exclusion consequently inflation raises loan to value ratios and output only when enforcement is sufficiently efficient

estimating the value of electricity storage in pjm arbitrage and some welfare effects significant increases in prices and price volatility of natural gas and electricity have raised interest in the potential economic opportunities for electricity storage in this paper we analyze the arbitrage value of a price taking storage device in pjm during the six year period from 2002 to 2007 to understand the impact of fuel prices transmission constraints efficiency storage capacity and fuel mix the impact of load shifting for larger amounts of storage where reductions in arbitrage are offset by shifts in consumer and producer surplus as well as increases in social welfare from a variety of sources is also considered

expectation traps and discretion abstract we develop a dynamic model with optimizing private agents and a benevolent optimizing monetary authority that cannot commit to future policies we characterize the set of sustainable equilibria and discuss the implications for institutional reform we show that there are equilibria in which the monetary authority pursues inflationary policies because that is what private agents expect we call such equilibria expectation traps alternative institutional arrangements for the conduct of monetary policy which impose limited forms of commitment on the policymaker can eliminate expectation traps journal of economic literatureclassification numbers e31 e42 e50 e51 e58

huggett economies with multiple stationary equilibria abstract i obtain a closed form solution to a huggett economy with constant absolute risk aversion cara utility when the vector of individual state variables follows a var 1 process with an arbitrary shock distribution the stationary equilibrium is unique if the income process is ar 1 but not necessarily so otherwise with gaussian shocks i provide general sufficient conditions for the existence of at least three equilibria when the income process is either arma 1 1 ar 2 or has a persistent transitory pt representation with negatively correlated shocks the possibility of multiple equilibria calls for caution in comparative statics exercises and policy analyses using heterogeneous agent models as an illustration i provide an example in which the welfare implication of changing the income risk goes in opposite directions depending on the choice of equilibrium

the case for a financial approach to money demand the distribution of money across households is much more similar to the distribution of financial assets than to that of consumption levels even controlling for life cycle effects this is a puzzle for theories which directly link money demand to consumption such as cash in advance cia money in the utility function miuf or shopping time models this paper shows that the joint distribution of money and nancial assets can be explained by an incomplete market model when frictions are introduced into financial markets money demand is modeled as a portfolio choice with a fixed transaction cost in financial markets

determinants of corporate pension funding strategy abstract several hypotheses concerning pension funding strategy are tested in a cross sectional regression model on a sample of 255 firms results are consistent with the following explanations 1 finance incentives tax benefits and financial slack for high level funding 2 labor incentives for low level funding and 3 financial statement incentives relating to political costs for high level funding and debt contracting costs for low level funding pension funding strategy appears to be complex involving tradeoffs between funding incentives the nature of these interactions and tradeoffs remains to be clarified through future research

money creation tax or public liquidity i revisit the example of non neutral anticipated monetary expansions used in lucas 1995 nobel prize lecture within a broader definition of monetary policy tools such as paying a nominal return on money or using open market operations to show that money expansions increase output by reallocating consumption across heterogenous individuals and time periods this result survives with noninterest bearing cash when the latter does not generate relevant distortions

insurance and opportunities the welfare implications of rising wage dispersion this paper develops a series of heterogeneous agents economies in order to characterize analytically the welfare implications of changes in the uncertainty in individual labor productivity we perform two types of welfare calculations first we compute the welfare consequences of a rise in labor market risk given a particular asset market structure complete markets incomplete markets autarky second we compute the expected gain from completing markets starting from autarky or incomplete markets for a given level of wage dispersion we are able to derive intuitive closed form expressions for these welfare eects which depend only on preference parameters and the size of the change in wage dispersion a higher level of productivity dispersion has always two eects it tends to reduce welfare in presence of partial insurance but it also tends to improve production opportunities in presence of flexible labor supply we can separate analytically the insurance and the opportunity components we quantify the welfare consequences of the rise in wage inequality observed in the united states over the past three decades as roughly 3 of lifetime consumption moreover we calculate that completing the asset markets given the current level of inequality would lead to a welfare improvement equivalent to 35 of lifetime consumption

optimal monetary policy with heterogeneous money holdings abstract we study the optimal anticipated policy in a pure currency economy with flexible prices and a non degenerate distribution of money holdings the economy features a business cycle and lump sum monetary injections have distributional effects that depend on the state of the cycle we parsimoniously characterize the dynamics of the economy and study the optimal regulation of the money supply as a function of the state under commitment the optimal policy prescribes monetary expansions in recessions when insurance is most needed by the cash poor unproductive agents conversely the optimal policy prescribes monetary contractions during booms so that the inflationary effect of the occasional expansions is undone

modern macroeconomics in practice how theory is shaping policy over the last three decades macroeconomic theory and the practice of macroeconomics by economists have changed significantly for the better macroeconomics is now firmly grounded in the principles of economic theory we focus on the role of economic theory in shaping policy over the last several decades the united states and other countries have undertaken a variety of policy changes that are precisely what macroeconomic theory of the last 30 years suggests the evidence that theoretical advances have had a significant effect on the practice of policy is often hard to see for policymakers and advisers involved in the hurly burly of day to day policymaking but easy to see if one steps back and takes a longer term perspective examples of the effects of theory on the practice of policy include increased central bank independence adoption of inflation targeting and other rules to guide monetary policy increased reliance on consumption and labor taxes instead of capital income taxes and increased awareness of the costs of policies that distort labor markets

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

the labor contract and true economic pension liabilities most pension covered workers in the united states are covered solely or primarily by defined benefit plans in these plans workers are typically promised a pension that is proportional to their years of service in the firm and their final wage depending upon how workers pay for it the existence of a pension in the labor contract may play either an important role or no role at all in the worker firm relationship this paper addresses the issue how workers pay for the cumulating pension benefit over their tenure cycle in the firm and derives several economic implications for the worker firm contract while the theory itself has ambiguous implications the data confirm the longstanding presumption that pensions offer strong incentives for the worker to complete the normal tenure cycle in the firm not to quit early but if this intuitive notion is accepted it is shown that a perhaps less intuitive notion is also true firms make workers longterm bondholders in the firm the same flow of worker pension savings that tie workers to the firm are not accounted for in the pension trust fund pension plans are significantly underfunded in a true economic sense this is a peculiar characteristic of the labor contract which raises several unanswered questions the paper also shows that the nature of the pension contract can play an important role in determining the wage service profile and the capitalized value of the firm recent contributions to the literature pose an interesting and unconventional view of pensions one which leads to the conclusion that pensions play a relatively minor role in the worker firm contract the argument has been implicitly made by burt barnow and ronald ehrenberg 1979 and william sharpe 1976 but has recently been stated more directly by jeremy bulow 1982 2 in essence their views rest on a legal interpretation of pension liabilities namely since the firm can legally terminate its pension plan anytime the firm s pension liabilities cannot exceed the present value of the nominal pension promises it would owe workers if the firm terminated the plan immediately if workers believe the firm will exercise its legal right it is intuitively apparent and easy to show that workers will deposit only that amount of compensation into the pension plan that they expect to receive upon immediate termination using this interpretation of pension plan liabilities pensions have no influence on whether the worker leaves or remains in the firm moreover it will be shown that if the pension contract is written in nominal terms reflecting the legal view workers are not bondholders in the firm pension plans are excessively overfunded an alternative view is that the pension plan is an implicit contract between the worker and the firm see for example jack treynor 1977 an implicit contract theory implies that workers anticipating careers with a firm will consider the package of wage and pension benefits they expect to collect over their life cycle it is shown that these expectations lead quite directly to several implications that the pension contract is written in real terms that firms intend to meet their pension promises and that the firm will re u s department of labor s 4521 washington d c 20210 the views expressed in this paper are my own and do not necessarily represent the views of the department of labor the paper has substantially benefited from the comments of pauline ippolito and discussions with jeremy bulow i am also indebted to robert clark gary fields alan gustman olivia mitchell james pesando john turner michael ward and participants at the labor relations workshop at cornell university and the law and economics workshop at the university of chicago for comments see my 1985a book 2 the argument is also implicit in other related papers see for example martin feldstein and randall morck 1982

money banking and financial markets the fact that money banking and financial markets interact in important ways seems self evident the theoretical nature of this interaction however has not been fully explored to this end we integrate the diamond 1997 journal of political economy 105 928 956 model of banking and financial markets with the lagos and wright 2005 journal of political economy 113 463 484 dynamic model of monetary exchange a union that bears a framework in which fractional reserve banks emerge in equilibrium where bank assets are funded with liabilities made demandable in government money where the terms of bank deposit contracts are affected by the liquidity insurance available in financial markets where banks are subject to runs and where a central bank has a meaningful role to play both in terms of inflation policy and as a lender of last resort among other things the model provides a rationale for nominal deposit contracts combined with a central bank lender of last resort facility to promote efficient liquidity insurance and a panic free banking system

efficiency and the value of money in a monetary model it is shown that if there is a unique pareto inefficient barter equilibrium then a monetary equilibrium exists when traders are sufficiently patient

money capital and redistributive effects of monetary policies abstract this paper examines the redistributive role of expansionary monetary policies for this purpose a physical environment with heterogeneous agents is described to emphasize two frictions one is a within market friction that agents cannot borrow within each market the other is a cross market friction that agents cannot borrow across markets although a contractionary monetary policy is required to eliminate the within market friction as in many previous monetary models an expansionary monetary policy is required to eliminate the cross market friction when both frictions are operational no monetary policy alone can restore efficiency and the second best monetary policy requires the money growth rate to exceed the friedman rule the first best allocation can be achieved by a combination of fiscal policies and the friedman rule

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

currency and credit are equivalent mechanisms i study a pure exchange economy with many agents whose marginal utility of consumption is stochastically heterogeneous and independent of wealth with realized marginal utility of wealth private information i show that currency and credit are equivalent to a contract that is efficient when the privacy of information is viewed as a constraint and that the cash in advance constraint is an expression of an incentive constraint

debt enforcement and the value of money this paper presents a framework in which fiat money has value in equilibrium even though a risk free higher return asset can be equally used as a medium of exchange in a limited commitment environment agents may prefer to borrow a low return asset because that results in a larger borrowing capacity thus a monetary equilibrium in which money is dominated in rate of return exists

a note on the societal benefits of illiquid bonds kocherlakota 2003 provides an example of a monetary economy where efficiency is enhanced with the introduction of a nominally risk free bond that is specifically designed to be illiquid the societal benefit of an illiquid bond in his example however is transitory and he does not characterize an optimal policy i use an analytically tractable framework to characterize an optimal intervention and to show that the purported benefits of an illiquid bond market persist in a steady state kocherlakota 2003 a donne un exemple d une economie monetaire ou l efficacite est accrue par l introduction d une debenture nominalement sans risque destinee specifiquement aetre illiquide l avantage societal d une debenture illiquide dans son exemple est cependant transitoire et l auteur ne definit pas une politique optimale on utilise un cadre de reference analytiquement soluble pour caracteriser une intervention optimale et pour montrer que les avantages attendus d une debenture illiquide persistent en regime permanent

money with idiosyncratic uninsurable returns to capital abstract this paper extends the income fluctuations problem to an economy with endogenous growth individuals instead of owning a stream of endowments accumulate capital with an investment irreversibility constraint and face uninsurable idiosyncratic risks to the return to capital money provides both a risk diversification and a liquidity role balanced growth paths exist despite the increasing dispersion of the wealth distribution the return to money cannot be equated to the social return to capital unless the government owns the entire capital stock with idiosyncratic risk and it is capable of operating this stock as efficiently as private agents can journal of economic literature classification numbers e31 e42 e58

savings asset scarcity and monetary policy abstract this paper analyzes optimal monetary policy regarding asset markets in a model where money and savings are essential and asset markets matter the model is able to explain why different regimes for the correlation of real interest rates and stock price dividend ratios exist and offers two explanations why the correlation vanished after 2007 a decrease in inflation or changes in the supply of risky and safe assets the results on optimal policy show that away from the friedman rule fiscal policy can improve welfare by increasing the amount of outstanding government debt if the fiscal authority is not willing or able to increase debt the monetary authority can improve welfare of current generations by reacting procyclically to asset return shocks

nominal prices and interest rates in general equilibrium endowment shocks the outstanding problem of neoclassical monetary theory has been to determine the effect of changes in the money stock on nominal prices and interest rates the classic result is that in the absence of money illusion contracts fixed in nominal terms and other such impedimenta money is neutral thus a doubling of the money stock results in a doubling of the nominal price level and in no change in nominal interest rates except at most for a temporary liquidity effect while the price level is rising to its new level during the adjustment period the nominal interest rate might temporarily drop this neutrality result has conventionally been proved in a static framework in intertemporal models it is necessary to distinguish between static neutrality and dynamic neutrality if a model displays dynamic neutrality fluctuations in the money stock immediately induce a proportional change in the nominal price level and no change in nominal interest rates or any real variable this property is different from and stronger than static neutrality which in dynamic models states only that if the money stock at all dates is doubled so will be the price level at all dates the effects of exogenous shocks in the monetary growth rate on nominal prices and interest rates are analyzed a representative individual rational expectations framework is adopted and a demand for money is generated by entering money in the utility function the effects of monetary shocks on inflation and interest rates are shown to depend on the autocorrelation of the monetary growth rate for example under serial independence the inflation rate equals the monetary growth rate and the nominal interest rate is nonrandom while under positive negative autocorrelation the nominal interest rate is affected positively negatively by positive growth rate shocks i am grateful to the staff of the federal reserve bank of philadelphia to the finance groups at the university of southem california and virginia polytechnic institute and to c j lacivita dan peled john seater and jon sonstelie for valuable comments on earlier drafts

the optimal quantity of money and partially liquid assets abstract in a monetary economy a la williamson 2012 in which a competitive financial sector insures agents facing idiosyncratic liquidity risk on interest bearing assets we introduce a competitive market for liquidity reallocation and study optimal policy we show that at any inflation rate above the friedman rule the market is a welfare improving risk sharing mechanism over williamson s 2012 deposit contract the optimal policy requires real asset scarcity which increases the demand for money and shrinks consumption inequality between asset and money users also we demonstrate that the equilibrium deposit contract with re trading opportunities in the asset market replicates the market allocations

friedman meets hosios efficiency in search models of money this article studies optimal monetary policy in an economy with endogenous search decisions we show that the same frictions that give fiat money a positive value generate an inefficient quantity of goods in each trade and an inefficient number of trades the friedman rule eliminates the first inefficiency and the hosios rule the second a monetary equilibrium attains the social optimum if and only if both rules are satisfied when they cannot be satisfied simultaneously optimal monetary policy achieves only the second best we analyse the conditions under which the second best monetary policy exceeds the friedman rule

price maker self scheduling in a pool based electricity market a mixed integer lp approach this paper addresses the self scheduling problem faced by a price maker to achieve maximum profit in a pool based electricity market an exact and computationally efficient mixed integer linear programming milp formulation of this problem is presented this formulation models precisely the price maker capability of altering market clearing prices to its own benefits through price quota curves no assumptions are made on the characteristics of the pool and its agents a realistic case study is presented and the results obtained are analyzed in detail

an overlapping generations model with search abstract search is embedded in an overlapping generations model the young participate in a centralized market and then are matched in pairs in a decentralized market the old only participate in the centralized market if the buyer s bargaining power in pairwise trade is close to unity and if the old are risk averse then the golden rule rate of money transfer is positive such risk aversion the pairwise meetings and dependence of the young s saving on the rate of return are necessary for this result

liquidity a new monetarist perspective this essay surveys the new monetarist approach to liquidity work in this literature strives for empirical and policy relevance plus rigorous foundations questions include what is liquidity is money essential in achieving desirable outcomes which objects can or should serve in this capacity when can asset prices differ from fundamentals what are the functions of commitment and collateral in credit markets how does money interact with credit and intermediation what can and should monetary policy do the research summarized emphasizes the micro structure of frictional transactions and studies how institutions like monetary exchange credit arrangements or intermediation facilitate the exchange process

endogenous discounting wariness and efficient capital taxation abstract when the discount factors that infinite lived consumers use at each date are not predetermined but are instead chosen within some set depending on what the consumption plan is impatience might not hold more precisely if the utility is the infimum of discounted utilities over that set of discount factor sequences then preferences may be just upper semi impatient such lack of lower semi impatience which we refer to as wariness consists in neglecting distant gains but not distant losses examples are the precautionary case a concern with the worst lifetime outcome and the habit persistence case a concern with a fall in living standards the implementation of efficient allocations by trading assets sequentially requires taxes that avoid excessive savings by raising the opportunity of cost of saving up to the point of matching the marginal benefit of dishoarding at distant dates taxes on equilibrium plans are zero in many contexts

essential interest bearing money i examine optimal monetary policy in a lagos and wright a unified framework for monetary theory and policy analysis j polit econ 113 2005 463 484 model where trade is centralized and all exchange is voluntary i identify a class of incentivefeasible policies that improve welfare beyond what is achievable with zero intervention any policy in this class necessarily entails a non negative inflation rate and a strictly positive nominal interest rate despite the absence of a lump sum tax instrument there exists an incentive feasible policy that implements the first best allocation

sub optimality of the friedman rule in townsend s turnpike and stochastic relocation models of money do finite lives and initial dates matter abstract the friedman rule a widely studied prescription for monetary policy is optimal in townsend s turnpike model of money it is not so in the overlapping generations version of his stochastic relocation model of money we investigate these monetary models in the light of this disparity to this end we create a modified version of the turnpike model that generates the same stationary monetary equilibria as does the two period overlapping generations model with random relocation we exploit this equivalence to explain the aforementioned disparity we also discuss the importance of whether or not the economy has an initial date

asset trading mechanisms and expansionary policy abstract previous authors have argued that the otimal monetary policy is contractionary if buyers value consumption substantially more than sellers there is some randomness and informational constraints make asset trading useful we show that there is an incentive compatible expansionary policy that dominates all incentive compatible contractionary policies

open market operations abstract in an open market operation the central bank swaps currency for bonds we show how injecting money in this way is different from transfers the way policy is usually formulated the model captures liquidity explicitly by modeling the roles of assets in frictional exchange under various specifications for market structure and the acceptability or pledgeability of assets we discuss implications for the fisher and quantity equations the possibility of negative nominal yields liquidity traps and market segmentation when liquidity is endogenized using information theory multiple equilibria emerge with different policy predictions interest on reserves and quantitative easing are discussed