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

the bond old bond spread abstract i document the profits on a trade that is long the old 30 year treasury bond and short the new 30 year treasury bond and is rolled over every auction cycle from june 1995 to november 1999 despite the systematic convergence of the spread over the auction cycle the average profits are close to zero the difference in repo market financing rates between the two bonds is a significant cost of carry in this trade i show that variation in the bond old bond spread is driven by the treasury supply of 30 year bonds as well as aggregate factors affecting investors preference for liquid assets

the case for divisia monetary statistics a bayesian time varying approach abstract the zero lower bound and quantitative easing policies have rekindled interest in the link between monetary aggregates and the business cycle this paper argues on the basis of bayesian time varying coefficient var models that use divisia indexes that money is more closely linked to the business cycle as well as forecasting economic activity more accurately than existing literature claims moreover the relationship between money and economic activity is considerably more pronounced during periods of economic distress such as in the great recession

consumption and the credit market abstract this paper uses a kalman filter model to allow the fraction of current income consumers to vary over time and shows that these consumers are liquidity constrained by relating this percentage to measures of credit market tightness

beyond search fiat money in organized exchange am odel offiat money is constructed in which spatial separation and the logistics of communication are made explicit as in search theory but in which exchange is organized by profit seeking business enterprises as in all market economies firms mitigate search costs by opening shops that are easily located the model endogenizes the number of shops and which objects are traded in each shop it permits the double coincidence of wants and deals easily with divisible commodities equilibria may exist in which fiat money is used as a universal medium of exchange when such an equilibrium exists fiat money is essential in the sense that it is the universal medium of exchange in any efficient network of shops the model provides a foundation to cash in advance theory without specifying in advance that one object will be used as the universal medium of exchange

is there a role for monetary aggregates in the conduct of monetary policy abstract we examine the potential policy role of monetary aggregates by attempting to use them as effectively as possible in the analysis of empirical relationships we focus on their role as information variables since any more ambitious use such as in a policy rule would presuppose some information content in the aggregates our results show that in the united states since 1979 the monetary aggregates fall considerably short of those requirements and results with german m3 are hardly more favorable we also investigate whether empirical relationships are not reflective of information relationships because of the use of these variables in countercyclical policy the results are not consistent with that interpretation

a survey on risk averse and robust revenue management abstract many industries use revenue management to balance uncertain stochastic demand and inflexible capacity popular examples include airlines hotels car rentals retailing and manufacturing the classical revenue management approaches considered in theory and practice are based on two assumptions first demand as the only uncertain variable follows a known distribution and second risk neutrality justifies the maximization of expected revenue recently two related streams of literature emerged that do not need these assumptions research on risk averse revenue management acknowledges that in practice many decision makers are risk averse research on robust revenue management focuses worst case scenarios without a known demand distribution which is especially relevant for new and extremely unstable businesses this paper motivates the consideration of risk averse and robust revenue management we briefly introduce revenue managements two main methods capacity control and dynamic pricing in the classical risk neutral setting then we provide an exhaustive review of the literature on risk averse and robust capacity control and dynamic pricing in doing so the relevant decision criteria are briefly introduced finally possible avenues for future research are outlined

in defense of base drift the federal reserve has been criticized for allowing the base from which it calculates its target growth paths for the monetary aggregatesto drift from year to year in response to past deviations from target drift in the base implies that target misses permanently affect the levels of the monetary aggregates using a simple theoretical model this paper shows that the optimal degree of base drift consistent withprice stability depends on the importance of permanent versus transitory income and velocity disturbances neither zero base drift nor complete base drift are likely to be compatible with price stability copyright 1986 by american economic association

conditional exchange rate volatility and the volume of foreign trade evidence from seven industrialized countries there has long been a concern over the volatility of exchange rates and their impact on the volume of foreign trade however very little attention has been paid to the choice of an appropriate volatility variable as well as the proper specification of the trade equation the sample standard deviation of the exchange rate has been used as a proxy for exchangerate uncertainty in empirical studies that examine the effects of exchange rate uncertainty on the volume of foreign trade see for example akhtar and hilton 1 and gotur 27 these studies have provided conflicting evidence on this issue it has been argued that use of the sample standard deviation is inappropriate because the empirical distribution of exchange rates is not normal 22 10 in this regard subsequent empirical research 12 36 40 41 11 has employed a moving standard deviation of the rate of change of the exchange rate as a proxy for exchange rate uncertainty chowdhury 11 obtained a clear pattern of results that support the hypothesis that the higher volatility of exchange rates led to a reduction in international trade transactions after the breakdown of the bretton woods system in march 1973 other studies have reported ambiguous results 2 the moving standard deviation used in these studies has been criticized in the literature for a ignoring relevant information on the random process generating exchange rates 18 b underestimating the effect of volatility on decisions 52 c distorting the measurement of the volatility variable by smoothing the series 9 and d injecting an element of arbitrariness into the calculation through decisions about the order m of the moving average 43 3

potential information and target variables for uk monetary policy the relationship between traditional monetary policy goal variables nominal gdp real gpd and the inflation rate and a number of financial market variables is investigated the question examined is which if any of these financial market variables monetary aggregates interest rates and interest rate spreads are potentially useful as either information variables or intermediate targets while the implications concerning the usefulness of the financial variables considered are pessimistic concerning nominal gdp more robust relationships are found for real gdp and inflation the latter finding is of interest given the current uk monetary policy strategy of inflation targeting our results are however more supportive of the usefulness of several financial variables as information variables than as intermediate targets

open vs sealed bid auctions testing for revenue equivalence under singapore s vehicle quota system using data from the auction of vehicle quota licenses in singapore we study if revenue equivalence holds when the auction format was switched from a sealed bid format may 1990 to june 2001 to an open bidding format since july 2001 our econometric analysis indicates the change in auction format led to a change in bidding behavior on average the quota license premium under the open bidding format is about us 1000 about 7 5 of the category e license price in june 2001 lower compared to the forecast level that would have prevailed if there had been no change in the auction format

money income prices and interest rates including data from the 1980s sharply weakens the postwar time series evidence indicating significant relationships between money however defined and nominal income or between money and either real income or prices separately focusing on data from 1970 onward destroys this evidence altogether evidence indicating cointegration of real income and real money balances with due allowance for the effect of interest rates also deteriorates when the sample extends through the 1980s a positive finding is that the spread between the commercial paper rate and the treasury bill rate consistently contains highly significant information about future movements in real income copyright 1992 by american economic association

a general attraction model and sales based linear program for network revenue management under customer choice this paper addresses two concerns with the state of the art in network revenue management with dependent demands the first concern is that the basic attraction model bam of which the multinomial logit mnl model is a special case tends to overestimate demand recapture in practice the second concern is that the choice based deterministic linear program currently in use to derive heuristics for the stochastic network revenue management problem has an exponential number of variables we introduce a generalized attraction model gam that allows for partial demand dependencies ranging from the bam to the independent demand model idm we also provide an axiomatic justification for the gam and a method to estimate its parameters as a choice model the gam is of practical interest because of its flexibility to adjust product specific recapture our second contribution is a new formulation called the sales based linear program sblp that works for the gam this formulation avoids the exponential number of variables in the earlier choice based network rm revenue management approaches and is essentially the same size as the well known lp formulation for the idm the sblp should be of interest to revenue managers because it makes choice based network rm problems tractable to solve in addition the sblp formulation yields new insights into the assortment problem that arises when capacities are infinite together these contributions move forward the state of the art for network revenue management under customer choice and competition

does the federal reserve affect asset prices abstract the federal reserve is probably one of the institutions most closely monitored by investors this indicates that investors believe the actions of the fed have implications for asset prices to this date the trading activities of the fed in the financial markets have not been examined to see how the fed influences asset prices using daily data on open market operations omos and asset prices this study fills this void one finding of the paper is that omos granger cause both short and long term interest rates furthermore the sign of the relationship confirms the existence of the liquidity effect given that its trades represent a small portion of the market volume how the fed influences bond prices is a puzzle the only reasonable explanation is that the fed s trades have high information content judging by the impulse response paths the reaction of interest rates to open market operations is fast additionally it appears that monetary policy has a lasting impact on interest rates

does a cointegrating m2 demand relation really exist in the united states this paper reexamines evidence on m2 demand cointegration in the postwar united states equilibrium relations between m2 and various sets of its determinants are analyzed using quarterly observations from 1959 1 to 1988 4 1990 4 and 1993 4 based on three different testing methods for earlier subsamples mixed results are obtained suggesting both cointegration and no cointegration for the full sample however virtually no evidence supports cointegration accordingly a m2 error correction model is no longer appropriate to investigate short run dynamics of business fluctuations in the 1990s copyright 1996 by ohio state university press

the equilibrium fed funds rate and the indicator properties of term structure spreads i introduction interest rate spreads figure prominently in the economics literature as monetary policy indicators for instance while some writers have focused on the predictive power of the spread between the six month commercial paper rate and the six month treasury bill rate others have emphasized spreads between short and long term interest rates 1 this paper follows the latter tradition my analysis is motivated by the work of bernanke and blinder 1992 who compare the difference between the federal funds rate and the ten year government bond rate with other interest rate spreads and find it to be a particularly useful predictor of future economic activity the rationale for using term structure spreads as monetary policy indicators is relatively straightforward 2 when assessing the stance of monetary policy it is not just the level of the federal funds rate that matters but how it relates to some implicit notion of equilibrium interest rates this insight is not new and can be found in the seminal work of wicksell 1898 xxv who wrote that it is not a high or low rate of interest in the absolute sense which must be regarded as influencing demand the causative factor is the current rate on loans as compared with what i shall be calling the natural rate of interest the direct empirical implementation of the wicksellian insight is however obviously hampered by the fact that the natural rate of interest is not an observable variable as suggested by laurent 1988 and bernanke and blinder 1992 the slope of the term structure is often used as a proxy for the spread between a short term interest rate and its unobservable equilibrium level thus the yield curve steepens as short term interest rates are perceived to be below their equilibrium levels i follow a more direct approach to measuring the stance of monetary policy instead of using the slope of the term structure as a proxy for the gap between observed and equilibrium federal funds rates i introduce a model based method to constructing a measure of the level of the equilibrium funds rate as described below this equilibrium rate is calculated for the real sectors of the economy conditional on the observed rate of inflation thus the equilibrium rate is constructed to be independent of the inflation objectives of monetary policy and the implied difference between actual and equilibrium rates the funds rate spread constitutes my monetary policy indicator this paper provides an overview of the proposed methodology and compares the funds rate spread with traditional indicators of the monetary policy stance ii a model based measure of the spread i rely on the estimated structure of a macroeconometric model to measure the equilibrium federal funds rate the theoretical framework is the mit penn ssrc mps model which is housed at the federal reserve board this is a large scale quarterly model of the u s economy it consists of more than 100 behavioral equations about 200 identities and over 100 exogenous variables in its theoretical foundations the long run properties of the model are akin to a neoclassical growth model whereas the dynamic structure is essentially keynesian 3 the approach used in this paper is a departure from the traditional literature in at least two dimensions first i use an explicit theoretic framework to compute the equilibrium measure as opposed to the empirically based approach of using long term interest rates second by focusing on the equilibrium level of the federal funds rate i have a more direct way to gauge the stance of monetary policy the equilibria analyzed here correspond to intermediate run dynamics a time frame that seems most relevant for the conduct of monetary policy conceptually the equilibrium notion i explore is a simple one for a given position of the mps model s is block the equilibrium federal funds rate is defined as the one consistent with unemployment at its natural rate after all lags in the model have fully worked through

the behavior of money and other economic variables two natural experiments abstract the object of this paper is to test the performance of the quantity theory model and the related proposition of monetary neutrality in a context in which to use bernanke s phraseology money move d for reasons that were plausibly unrelated to the current state of the economy we investigate this question using data from two recent episodes of monetary policy regime change the move to floating exchange rates throughout the industrialized world following the breakdown of bretton woods in the early 1970s and the shift toward less expansive monetary policy that to varying degrees took place in these countries a decade or so later the results of this exercise are highly positive the money price relationship that we observe is fully consistent with theory growth shifts in the nominal stock of money and in the price level are highly correlated and bear a one to one relation to one another growth shifts in exchange rates are significantly related both to growth shifts in relative price levels and to growth shifts in relative excess supplies of money the classical neutrality proposition in this context superneutrality in general receives strong though not totally unambiguous support

is quantity theory still alive this paper investigates whether the quantity theory of money is still alive we argue that it is but that the slippage is not negligible for countries with low inflation the relationship between average inflation and the growth rate of money is tenuous at best a correction for variation in output growth and the opportunity cost of money using theory implied elasticities helps explain the slippage for the period since 1990 inflation targeting at low rates of inflation makes it harder to establish the long run relationship between monetary growth and inflation

us domestic currency in forecast error variance decompositions of inflation and output we find that domestic currency currency corrected for foreign holdings has a substantial share in forecast error variance decomposition of us inflation we also find that domestic currency has higher share of the forecast error variance decomposition of us real output than any other narrow monetary aggregate we consider

risk and macroeconomic activity this article explores the macroeconomic role that risk plays using the baa aaa spread as the measure of risk first it shows that meaningful upward movements in this spread are associated with recessions and their severity second it includes the baa aaa spread in a structural vector autoregression var to identify a shock to risk and finds that it causes a statistically significant and economically important decrease in output as well as increased holdings of real money balances third it uses historical decompositions to show that the shock to risk explains an important part of the declines in output during four post 1970 recessions notably the shock to risk explains almost none of the decline in output during 2001 prior to the september 11 2001 terrorist attacks but does clarify why the recovery was relatively weak afterwards and it explains the bulk of the decline in output during 2008 and 2009

asymmetries in housing and financial market institutions and emu despite convergence pressures differences in housing and financial market institutions across the 15 member states of the european union are still enormous this paper argues that they have profound effects on the responsiveness of output and inflation in the different countries to changes in short term interest rates as well as to asset market shocks of external origin the economic reasoning behind this claim is set out and the institutional differences are described the paper assesses the sometimes conflicting empirical evidence on this issue barriers to convergence and implications for labour market flexibility are discussed the uk ireland finland and sweden tend to cluster at one extreme of the relevant institutional characteristics the paper concludes with a set of proposals for institutional reforms which would significantly reduce the tensions within emu and the potential for instability in these economies entailed by emu membership

the success of the fed and the death of monetarism i introduction there has been a significant reduction in the macroeonomic volatility in the u s economy during the last 20 yrs the standard deviation of the central bank s target variables like inflation and nominal gross domestic product gdp declined substantially however at the same time the standard deviation of monetary aggregates has increased 1 this unique macroeconomic phenomenon is also associated with the disappearance of correlation between inflation and money growth this is in contrast to the monetarist argument that suggests that an important cause of economic instability is excess variation in the growth rate of money the most famous monetarist prescription for monetary policy is milton friedman s proposal that the growth rate of money should be constant there is however no evidence of falling variations in the growth rate of money over the last 20 yrs in fact the standard deviation of the rate of growth of monetary base has increased from 1 63 during 1960 1982 to 3 1 during 1983 2003 milton friedman in an interview with taylor 2001 pointed out that there was a breakdown in the relationship between money and gdp after 1980 which came along with a dramatic reduction in the variability of growth rate of gdp friedman says i am puzzled about is whether and if so how they suddenly learned how to regulate the economy does alan greenspan have an insight into the movements in the economy and other shocks that the people don t have friedman further says it looks as if somehow in 1991 1992 they were able to install a good thermostat instead of a bad one is alan greenspan a good thermostat compared to other fed chairmen taylor 2001 there is widespread consensus on the effect of monetary policy on inflation in the long run however there is no consensus on how monetary policy affects real output in the short run there is now a consensus among economists that the original monetarist proposition that there is no long run trade off between inflation and unemployment is correct monetarism can also be viewed as the platform from which the rational expectation revolution took off however the monetarist proposition that economic fluctuation is caused by excessively variable monetary growth has largely been abandoned authors like estrella and mishkin 1997 and feldstein and stock 1994 find that monetary aggregates do not have a significant informational content after 1979 and hence cannot be used as an information variable for the stance of monetary policy their finding is also consistent with dwyer 2002 and dwyer and hafer 1999 who find that there is little correlation of inflation and money growth across countries on quarterly and annual bases after 1979 the literature finds significant correlation e g lucas 1980 between money growth and inflation in the pre 1979 period but this correlation has disappeared after 1979 see table 1 and figures 1 4 if stabilization policy makes inflation a constant then there will be no correlation between inflation and policy as no variable is correlated with a constant according to kochin 1973 if the monetary authority is able to stabilize the economy by optimally setting the variability of the control variables e g monetary aggregates and interest rate then there will be no correlation between the goal variable e g inflation and nominal gdp and the control variable even if the policy is not perfect if the policy is too variable and even if it is well timed then a countercyclical policy adopted by the central bank might lead to greater variability in the goal variable as argued by friedman 1953 poole 1993 1994 and tanner 1993 also argue that one predictable consequence of optimal monetary policy is that the correlation between monetary policy instruments and policy goals will be driven to zero poole further contends that it is obvious to any careful reader of theil 1964 that optimally variable policy will give rise to a zero correlation between policy and goal variable

on the optimal product line selection problem with price discrimination product line design decisions are determinant for a firm s market success and simultaneously very costly to implement and change to evaluate the profitability of a design a number of mathematical programming approaches have been proposed in the last three decades typically nonlinear integer optimization problems that can only be tackled heuristically for real world instances recently chen and hausman 2000 efficiently exploited the fractional programming properties of a stylized model for product line and price selection with the objective to maximize contribution given homogeneous customer behavior by an aggregate multinomial logit choice model we extend the approach of chen and hausman chen k d w h hausman 2000 technical note mathematical properties of the optimal product line selection problem using choice based conjoint analysis management sci 46 2 327 332 to determine an optimal product line under a personalized or group pricing strategy in markets with multiple heterogeneous consumers such that total profit including fixed costs is maximized personalized group pricing is a growing discrimination strategy that more and more businesses are realizing is not only very profitable but also often implementable in the era of e business our problem formulation allows to incorporate commonly applied attraction choice models including the multinomial logit the bradley terry luce and approximately the first choice model though the problem is generally nonlinear we show that the fractional substructure resulting from attraction choice models can still be exploited to globally solve real world instances in reasonable time

on the instability of long run money demand and the welfare cost of inflation in the united states we evaluate the policy implications of measuring the welfare cost of inflation accounting for instabilities in the long run money demand for the u s over the period 1900 2013 we extend the analysis and reassess the results reported in lucas 2000 and ireland 2009 also considering the recent theoretical contributions of lucas and nicolini 2015 and berentsen et al 2015 breaks in the long run money demand give rise to regime dependent welfare cost estimates we find that the welfare cost is about 0 1 of annual income over 1976 2013 as compared to 0 8 over 1945 1975 overall these values are substantially lower than those reported in the literature

stochastic trends and economic fluctuations are business cycles mainly the result of permanent shocks to productivity this paper uses a long run restriction implied by a large class of real business cycle models identifying permanent productivity shocks as shocks to the common stochastic trend in output consumption and investment to provide new evidence on this question econometric tests indicate that this common stochastic trend cointegration implication is consistent with postwar u s data however in systems with nominal variables the estimates of this common stochastic trend indicate that permanent productivity shocks typically explain less than half of the business cycle variability in output consumption and investment copyright 1991 by american economic association

the essentiality of money in environments with centralized trade abstract lagos and wright 2005 introduced an influential model of monetary exchange in which trade alternates between centralized and decentralized markets and money is essential a limitation of their model and of the literature that follows is that they do not provide a microfoundation for the process of exchange in the centralized market in this paper we show that how one models exchange in the centralized market matters for the essentiality of money by describing the centralized market as a strategic market game and studying conditions under which money is essential

detrending and the money output link international evidence 1 introduction and background the question of whether there exists an empirical link between nominal money and real output has been subjected to a variety of modern econometric techniques producing conflicting results for example stock and watson 1989 use a vector autoregressive var model that accounts for several important economic variables and find that money exerts a statistically significant effect on real economic activity friedman and kuttner 1992 1993 on the other hand show that using the same specification as stock and watson but extending their sample through the 1980s obviates the money income link friedman and kuttner s results indicate that interest rates are relatively more useful in explaining movements in output thoma 1994 also reports that changes in money do not have a statistically significant impact on output in the united states more recent studies both theoretical and empirical also have shown money to have little or no direct effect on economic cycles rudebusch and svensson 1999 2002 for example conclude that the behavior of money real or nominal has no marginally significant impact on deviations of real output from potential the output gap once past movements in the gap and real rates of interest are accounted for such findings on the basis of what meyer 2001 refers to as the consensus macro model have achieved an influential position among macroeconomists and policymakers 2 other studies challenge the argument that money does not affect real output an early study by christiano and ljungqvist 1988 using a bivariate var model reports the existence of a statistically significant money to output relation in u s data davis and tanner 1997 using monthly u s data extending back to the mid 1800s find that even after interest rate effects are allowed for money remains statistically significant in explaining short run movements in real output using a rolling regression approach swanson 1998 reports a statistically significant relation between money measured as simple sum aggregates and as divisia measures and output even after an interest rate spread variable is added to the model hafer and kutan 1997 considered whether different stationarity properties of the data have influenced reported outcomes since most prior studies assume difference stationarity hafer and kutan demonstrate that estimating var models that include money and interest rate variables under the existence of trend stationarity can dramatically affect the conclusion indeed they find that using a trend stationarity assumption yields the finding that money significantly affects real output movements in the united states a common characteristic of this literature is its focus on the united states there are a few exceptions for example krol and ohanian 1990 apply the stock watson specification to data for canada germany japan and the uk although money actual and detrended significantly affects output in the uk krol and ohanian find no such affect in japan canada and germany they conclude that although detrending the growth rate of u s money affects conclusions about the role of money little is gained from this approach when applied to the other countries another exception to the u s focus is a recent study by hayo 1999 using data from 14 european union eu countries plus canada japan and the united states hayo shows that money output test results are not sensitive to the use of data in levels versus data in differences an obvious question to ask then is whether nominal money is relatively more useful than interest rates in explaining movements in real output across a wider variety of countries that includes industrial and developing economies although the studies of krol and ohanian and hayo represent a broader analysis they too focus on the money output relation in relatively industrialized financially developed countries

should bond funds be added to m2 abstract in the early 1990s m2 growth has been weaker than estimated while bond mutual funds have grown rapidly this study assesses whether adding bond funds to m2 would yield a monetary aggregate that is more explainable using a standard error correction model of money with and without modifications for bond interest rate and thrift resolution effects results indicate that it is important to net out institutional and ira keogh assets from bond funds as is done for m2 and that adding such a bond fund series to m2 results in an aggregate that is somewhat more explainable than m2

monetary policy and the transaction role of money in the us the declining importance of money in transactions can explain the well known fact that u s interest rate policy was passive in the pre volcker period and active after 1982 we generalise a standard cashless new keynesian model woodford2003 by incorporating an explicit transaction role for money in the pre volcker period we estimate that money did play an important role and determinacy required a passive interest rate policy however after 1982 money no longer played an important role in facilitating transactions correspondingly the conventional view prevails and an active policy ensured equilibrium determinacy

credit growth monetary policy and economic activity in a three regime tvar model we employ a threshold vector autoregression tvar methodology in order to examine the nonlinear nature of the interactions among credit market conditions monetary policy and economic activity we depart from the existing literature on the subject along two dimensions first we focus on a model in which the relevant threshold variable describes the state of economic activity rather than credit market conditions second in contrast to the existing tvar literature which concentrates exclusively on single threshold models we allow for the presence of a second threshold which is overwhelmingly supported by all relevant statistical tests our results indicate that the dynamics of the interactions among credit market conditions monetary policy and economic activity change considerably as the economy moves from one phase of the business cycle to another and that single threshold tvar models are too restrictive to fully capture the nonlinear nature of those interactions the impact of most shocks tends to be largest during periods of sub par economic growth and smallest during times of moderate economic activity by contrast credit risk shocks have the largest impact when output growth is considerably above it long term trend

long run income and interest elasticities of money demand in the united states econometric techniques designed to accommodate nonstationary data are used to reexamine the stability of interest and income elasticities of money demand in the united states estimates based on postwar monthly data reveal a stable relationship between m1 velocity and various measures of interest rates that proxy the opportunity cost of holding money balances tests for the existence of cointegration and methods used to estimate the income and interest elasticities are based on procedures prescribed by soren johansen 1988 corresponding error correction estimates offer insight as to the dynamics of the process that maintains the equilibrium relation between velocity and interest rates copyright 1991 by mit press

on consequences and criticisms of monetary targeting the purpose of this paper is to review and evaluate the most important existing criticisms of policy strategies that feature adherence to money stock targets four main categories of criticism and counterargumerits are analyzed the first of these involves the claim that accurate money stock control is infeasible while the second contends that such control can only be obtained along with extreme volatility of interest rates the third emphasizes difficulties resulting from technical change and deregulation and the fourth concerns strategic issues of rules vs discretion activist vs non activist policy and the logical function of intermediate targets this abstract was borrowed from another version of this item

money and economic activity revisited abstract recent literature has concluded that money no longer plays a fundamental role in determining us economic activity especially when post 1982 data are included in the analysis we re examine the issue using annual and quarterly data sets ranging back to the civil war cointegration tests show that an equilibrium relationship holds between money and income in all data samples of 35 years or longer but frequently fails to hold for many shorter samples however when the normal monetary lags are explicitly imposed a cointegrating relationship is frequently captured even in quite short samples examining the issue in a standard five variable var model we find that money is the most important variable in explaining real output for the full 1874 1993 as well as 1952 1993 periods even allowing for interest rate effects finally using monthly data over the troublesome 1983 1994 sample we show that when appropriate adjustments are made to capture recent structural changes such as the growing importance of the international economy on us output money still granger causes economic activity

revenue management under a general discrete choice model of consumer behavior customer choice behavior such as buy up and buy down is an important phenomenon in a wide range of revenue management contexts yet most revenue management methodologies ignore this phenomenon or at best approximate it in a heuristic way in this paper we provide an exact and quite general analysis of this problem specifically we analyze a single leg reserve management problem in which the buyers choice behavior is modeled explicitly the choice model is very general simply specifying the probability of purchase for each fare product as a function of the set of fare products offered the control problem is to decide which subset of fare products to offer at each point in time we show that the optimal policy for this problem has a quite simple form namely it consists of identifying an ordered family of efficient subsets s 1 s m and at each point in time opening one of these sets s k where the optimal index k is increasing in the remaining capacity x and decreasing in the remaining time that is the more capacity or less time available the further the optimal set is along this sequence we also show that the optimal policy is a nested allocation policy if and only if the sequence of efficient sets is nested that is s 1 s 2 s m moreover we give a characterization of when nesting by fare order is optimal we also develop an estimation procedure for this setting based on the expectation maximization em method that jointly estimates arrival rates and choice model parameters when no purchase outcomes are unobservable numerical results are given to illustrate both the model and estimation procedure

identifying sources of macroeconomic and exchange rate fluctuations in the uk abstract using quarterly data for the period 1985 1 2011 1 this paper uses a stylised open economy structural var model to identify the types of shocks responsible for macroeconomic fluctuations in the uk economy the stylised model implies a set of short run restrictions that allow for the identification of the shocks the importance of each shock is determined by examining forecast error variance decompositions impulse response functions and implied long run or permanent effects the results presented here imply that two shocks called the technology and is shocks are relatively more important than other shocks monetary shocks do exhibit long run monetary neutrality but clearly monetary policy is not responsible for a meaningful share of output and employment fluctuations during the sample period the estimated var and structural disturbances imply that the model accurately reflects the uk economy there is little evidence of a price puzzle or an exchange rate puzzle evidence against uncovered interest rate parity in response to an unexpected monetary policy tightening

money income and dynamic lag patterns in traditional vector autoregression var models a fixed lag length is imposed on all variables and across all observation periods this practice however is prone to potential model misspecifications more specifically underparameterization due to too short lag lengths results in estimation bias while overparameterization due to too long lag lengths results in a loss of degrees of freedom and thus estimation efficiency the significance of such problems can be exemplified by recent results of money income causality tests based on conventional var methodology the empirical relationship between money and income during the postwar period has long been found fragile by litterman and weiss 7 and sims 8 recently friedman and kuttner 3 argued that since the late 1970s monetary aggregates have ceased to predict real income in a four lag var system including an interest rate variable further by extending the sample period from 1985 to 1988 they 4 weakened stock and watson s 9 statistical support for money income causality the robustness of friedman and kuttner s findings however has been questioned for example thoma 10 documented subsample instability in causality statistics particularly in the 1980s becketti and morris 1 argued for longer lag lengths in the vars webb 11 further suggested that two lag lengths one for the dependent variable and another for all independent variables be considered in each equation the objective of this paper is to provide some explanations for these puzzles first the marginal significance levels or p values of money income granger causality tests are shown to vary remarkably over subsamples as well as different lag specifications second as an extension to the standard var estimation strategy a lag selection procedure is applied to determine the optimal lag structure that can vary across both variables and observation periods the empirical results suggest that previous findings on the collapse of the money income causal relationship is attributable to lag length misspecification especially for money the rest of the paper is organized as follows the next section discusses temporal instability in causality test statistics section iii outlines a new lag selection method and section iv presents

adaptive learning and the transition to fiat money this article explores some implications of adaptive learning for monetary evolution using a search theoretic framework that allows for media of exchange network effects adaptive learning precludes any voluntary transition to a fiat standard from a non monetary state of nature and can account for the historically observed tendency for fiat monetary standards to emerge only following the prior appearance of commodity money and the widespread employment of redeemable banknotes adaptive learning can also account for governments frequent resort to coercive measures to force a switch to fiat money and for their ability to affect such a switch even when doing so is not pareto optimal exchange media fall into the general category of products for which the utility that a user of the good derives from use of the good increases with the number of other agents using the good katz and shapiro 1985 p 424 there are two reasons for these positive network effects 1 indirect the more agents who employ a particular medium of exchange the more likely it is that prices will be quoted in terms of that medium of exchange i e that the medium of exchange will also serve as the economy s principle medium of account the costs of exchange are less for a medium of exchange that trades at par this indirect external effect is analogous to one encountered in computer hardware the more purchasers of a particular kind of hardware the more likely manufacturers of software are to supply compatible products 2 direct the more persons who use a particular exchange medium the better its quality or performance this direct network effect is analogous to one encountered in communications technologies such as telephones the analogy is especially close for fiat money which is useless to an isolated individual this article examines some ways in which media of exchange network effects influence the evolution of monetary standards and especially their role in determining both when and how a transition may occur from barter or commodity money to fiat money the approach taken here emphasises the role of adaptive learning where agents select exchange strategies that reflect static expectations concerning other agents preferred strategies although the exchange game agents play generally has multiple nash equilibria including one in which all agents accept fiat money adaptive learning precludes a spontaneous transition from barter to a fiat monetary standard even where a fiat standard would be welfare enhancing yet such learning does not rule out the spontaneous evolution of a commodity money standard or the eventual substitution of redeemable banknotes for commodity money readers familiar with the literature on network effects will recognise this

monetary policy lessons of recent inflation and disinflation by 1975 most economists agreed that the money demand function in the united states was reasonably stable and could serve as a reliable basis for the formulation of monetary policy those suspicious of monetarism were on the defensive in the light of the apparently inexorable increase of m1 velocity of about three percent per year with deviations of only a few tenths of a percent experience with rising money growth and rising inflation through 1980 only confirmed monetarist views as figure 1 shows all this had changed by 1986 with disinflation in the 1980s m1 velocity departed convincingly from its 1953 79 trend the money demand function seems to have fallen apart and is apparently not a reliable basis for monetary policy after all consequently the first major section following this introduction is devoted to the decline of velocity after 1981 and the demise of the standard money demand function some authors including i believe benjamin friedman conclude that this evidence leaves us so uncertain about the nature of money demand that policymakers cannot rely at all on any presumed money demand regularities in contrast my working hypothesis is that the money demand continues to be a stable function of relatively few variables but that the interest elasticity of money demand is substantially higher than previously thought others have sought money demand explanations in terms of regime shifts but that literature will not be discussed here events have not been kind to keynesian monetary policy positions either keynesians tend to concentrate on interest rates especially real interest rates as the best guide to the effects of monetary policy on the economy the real rate is discussed

does the euro follow the german mark evidence from the monetary model of the exchange rate abstract this paper investigates whether german or synthetic european pre emu data provides the appropriate empirical basis for evaluating euro dollar exchange rate behavior monetary exchange rate equations are estimated for both data sets over the pre emu period and out of sample forecasts are evaluated to assess their ability to explain the euro dollar exchange rate from 1999 to 2004 while forecast accuracy tests confirm the usefulness of synthetic european data for euro exchange rate analysis forecasts based on the german pre emu experience cannot even beat a random walk our results indicate that the euro does not simply follow the german mark but that it has its origins in the other pre emu currencies as well

money growth output growth and inflation estimation of a modern quantity theory 1 introduction during the years 1980 1993 annual inflation averaged 81 5 in latin america 12 3 in africa but only 6 4 among 16 countries in the oecd within latin america inflation ranged from 8 2 in honduras to 374 3 in argentina and in africa from 0 6 in the republic of the congo to 61 6 in sierra leone what are the reasons for these large differences if cross country differences in inflation can be linked closely to corresponding differences in money growth the reason is clear but if the link is weak then other reasons must be sought several authors have recently rejected money growth as an explanation of inflation there are three lines of criticism the first typified by baba hendry and starr 1992 estrella and mishkin 1997 and cochrane 1998 argues that the income velocity of and thus the demand for monetary aggregates is so unstable that money growth is an unreliable explanation a second criticism closely related to the first is a time series issue if money the price level and output are not cointegrated then there is no stable long run relationship among them some researchers find evidence of cointegration hoffman and rasche 1991 baba hendry and starr 1992 stock and watson 1993 hoffman rasche and tieslau 1995 swanson 1998 carlson et al 2000 dutkowsky and atesoglu 2001 but others do not stock and watson 1989 hafer and jansen 1991 friedman and kuttner 1993 thoma 1994 the cointegration question remains unsettled a third criticism is quite distinct from the first two it argues that in dynamic general equilibrium models with infinitely lived households money in the household utility function and rational expectations there is a class of policy rules with a unique solution that shows that the price level is independent of monetary policy but dependent strictly on fiscal policy this fiscal theory of price level determination breaks any link between money growth and inflation the key fiscalist models were developed by leeper 1991 sims 1994 1996 and woodford 1994 1995 1998 a simple version is summarized succinctly by mccallum 2001 who demonstrates an alternative mathematical solution to a fiscalist model that yields a monetary explanation of the price level but the monetarist foundations are under vigorous attack 1 this paper specifies and estimates a modern version of the quantity theory of money growth real gdp growth and inflation its traditional feature is that a country s long run inflation rate increases with its money growth rate the modern wrinkle is that inflation is mitigated by real gdp growth i assume that real gdp growth is governed by exogenous forces such as growth in human capital physical capital formation and technological progress the model makes no attempt to explain gdp growth rates long run neutrality is presupposed i show that the quantity theory can be written as a regression model whose theoretical implications can easily be tested section 3 this paper then makes three empirical contributions the first is to estimate a long run version of the quantity theory and test its implications statistically sections 5 and 6 the estimates are long run in the important sense that inflation money growth and real gdp growth rates are annual averages computed for 81 countries over the 14 years from 1980 to 1993 short run changes in the series are excluded by design the second is to partition statistically the roles of money and real gdp growth as determinants of inflation section 7 the third is to conduct out of sample forecasts section 8 here we discover how well the model estimated for one group of countries predicts inflation in others this paper differs from previous work in three important ways first earlier research has not been based on theoretically grounded regression models friedman 1956 1968 klein 1956 friedman and friedman 1980 friedman and schwartz 1982 mccandless and weber 1995 rolnick and weber 1997

comments on money is privacy by charles kahn james mcandrews and william roberds monetary theory and game theory three classes of models on money closely related to game theoretic models are i search theoretic models ii repeated games in a narrow sense and iii trading post games this note tries to point out the sense of affinity between the theory of microfoundations of money and the theory of repeated games in a broad sense of the term

euro area money demand and international portfolio allocation a contribution to assessing risks to price stability this chapter argues that a stable broad money demand for the euro area over the period 1980 2011 can be obtained by modelling cross border international portfolio allocation we first observe that in this first decade of the new millennium the breakdown of standard money demand specifications for the euro area and the strong developments in annual m3 growth coincide with large net flows in portfolio invest ment in the euro area we then estimate a new money demand which turns out to be stable by including variables explaining portfolio flows omitted in the traditional specifications

stability of money demand function revisited in china as china s economic reforms have undergone significant structural changes after 1979 it has been rather difficult to formulate a stable money demand function over the period following that year while previous literature on the long run relationship of money demand in china shows the existence of stable money demand this article revisits the stability of the china money demand function over the period after 1979 to employ the unit root tests and the cointegration tests with structural break the empirical evidence demonstrates that economic and financial deregulation did affect the stability of demand for money in china over the period 1977 to 2002 moreover the estimated long run income and interest elasticity are respectively 1 01 1 11 and 0 14 0 08 using the real m1 m2 equation in addition real income and the interest rate are found to be weakly exogenous we overall do find structural breakpoints mainly in 1980 and 1993 and they look to match clearly with corresponding critical financia

congressional oversight committee influence on u s monetary policy revisited abstract grier 1991 shows that monetary policy is influenced by congress in that increases in the liberality of the senate banking committee leadership are significantly positively correlated with monetary base growth chopin cole and ellis 1996 claim that the house leadership statistically dominates the senate leadership for predicting money growth but that the direction of the effect is perverse a more liberal house leadership is associated with a lower rate of base growth in this paper i show that chopin cole and ellis s claims are unfounded properly measured both house and senate leadership have a significant positive effect on base growth over grier s 1991 original sample in later periods money growth regressions are not sufficiently stable to support hypothesis tests

nonlinear equilibrium correction in u s real money balances 1869 1997 several theoretical models of money demand imply nonlinear functional forms for the aggregate demand for money characterized by smooth adjustment toward long run equilibrium in this paper we propose a nonlinear equilibrium correction model of u s money demand that is shown to be stable over the sample period from 1869 to 1997

sweep programs the fall of m1 and rebirth of the medium of exchange this paper investigates the effect of sweep programs on m1 using dynamic simulations of money demand over 1994 2000 the postsample period constitutes when sweep programs have been in effect all models generate predictions systematically above reported m1 using data on newly initiated programs test findings indicate that sweeps account for the overprediction within the conventional money demand model with a long term interest rate we construct a medium of exchange measure m1s equal to m1 plus estimated holdings of sweep balances m1s velocity compares favorably with that of broader aggregates evidence indicates cointegration within m1s money demand

a political model of monetary policy with application to the real fed funds rate abstract we construct an empirical model of u s monetary policy assuming that the federal reserve is an ordinary federal bureaucracy we use the real federal funds rate as our policy measure and show the existence of significant executive legislative and bureaucratic influence on the real rate of interest from 1961 to 1996 we find that presidential party is an adequate statistical measure of executive influence and that the voting scores of the senate banking committee leadership best represent legislative influence we argue that political changes cause systematic and predictable changes in monetary policy

are the effects of monetary policy asymmetric huntley schaller by building on the hamilton 1989 markov switching model we examine questions like does monetary policy have the same effect in expansions and recessions given that the economy is currently in a recession does a fall in interest rates increase the probability of an expansion does monetary policy have an incremental effect on the growth rate within a given state or does it only affect the economy if it is sufficiently strong to induce a state change e g from recession to expansion as suggested by models with sticky prices or finance constraints interest rate changes have larger effects during recessions jel e52 e32 much of the recent work in macroeconomics has proceeded under the assumption that variables follow linear stochastic processes with constant coefficients as a result some of the richness of the burns mitchell analysis such as its focus on asymmetries between recessions and expansions may well have been lost blanchard and fischer 1989 7 i introduction for decades macroeconomists have debated whether monetary policy has the same effect on real output in expansions and recessions as far back as the 1930s keynes and pigou debated whether monetary policy would have less effect on output during a severe economic downturn in the 1960s there were active debates on a very different proposition namely whether the rightward portion of the aggregate supply curve was vertical so that monetary policy would have less effect on real output during expansions in this article we provide a new type of evidence on whether monetary policy has different effects depending on whether the economy is in an expansion or recession empirical evidence on this issue is particularly relevant in light of new theoretical work in macroeconomics that predicts asymmetric effects of demand shocks conditional on the state of the economy two examples of this work are s s type models of price adjustment and models in which there are agency costs of financial intermediation 1 the intuition for the latter class of models is simple 2 when there is information asymmetry in financial markets agents may behave as if they were constrained for a variety of reasons these finance constraints are more likely to bind during recessions when the net worth of agents is low an increase in interest rates will then have two effects on investment the standard effect of increasing the cost of capital and therefore reducing investment demand and an additional effect of reducing liquidity e g by increasing debt service obligations and thus reducing investment demand for constrained agents as a result monetary policy actions that change interest rates will have greater effects during a recession 3 the s s type price adjustment models of ball and mankiw 1994 caballero and engel 1992 and tsiddon 1993 lead to a convex aggregate supply curve and therefore also imply that monetary policy will have stronger effects during recessions one of the more frequently cited empirical papers on the potentially asymmetric effects of monetary policy is cover 1992 which finds evidence that positive monetary shocks have different effects from negative monetary shocks we are looking at a different type of asymmetry namely between booms and recessions we study asymmetries using an extension of the markov switching model developed by hamilton 1989 estimated over the period 1955 93 in hamilton s econometric specification the growth rate of output depends on a state variable that corresponds to an expansion or recession this approach has several advantages first unlike linear projections it allows for nonlinearities and asymmetries second in estimating the recession coefficients it gives greater relative weight to observations that most clearly correspond to recessions and similarly for the expansion coefficients

financial sector weakness and the m2 velocity puzzle i introduction there has been a long running debate over the usefulness of monetary aggregates as intermediate targets or information variables in the conduct of monetary policy in the mid1970s the missing money episode associated with m1 money demand was documented by goldfeld 1976 and judd and scadding 1982 passage of the depository institutions deregulation and monetary control act in 1980 and the garn st germain act in 1982 ushered in a period of financial deregulation including interest bearing checking accounts and money market deposit accounts these innovations affected depositor behavior to such an extent as to make m1 unreliable as a target or indicator of policy as a result research efforts focused on m2 demand with initial evidence of stable short run specifications for this aggregate as in small and porter 1989 this issue remains timely with the recent example of the european central bank debating whether to target a monetary aggregate or inflation in its implementation of monetary policy as svensson 1999 points out in the united states feldstein and stock 1994 argue that the federal reserve should use the m2 monetary aggregate as an intermediate target on the other hand a fair amount of work suggests that m2 is not reliable as either a target or an indicator of monetary policy friedman and kuttner 1992 show that by the early 1990s the relationship between m2 and gross domestic producct gdp had weakened and estrella and mishkin s 1997 work provides further support for this finding miyao 1996 presents evidence that a cointegrating m2 demand relationship broke down in the 1990s as the link between m2 and gdp deteriorated the forecasting ability of m2 money demand equations also suffered the difficulties in forecasting m2 spurred a number of publications examining whether the deterioration in the m2 equation s forecasting ability was temporary or whether more fundamental factors such as flaws in the construction of the m2 aggregate the opportunity cost or both were at work carlson and parrott 1991 and duca 1992 first argued that the existence of troubled thrifts and the length of time it took the resolution trust corporation to resolve the thrifts difficulties helped explain the weakness in m2 in particular duca found that the change in the volume of cumulated deposits at resolved thrift institutions accounted for a large part of the m2 weakness although he suggested his findings be viewed cautiously because of the short time period of the analysis in the same article as well as in one subsequent to it duca 1995 also examined whether some of the weakness in m2 reflected substitution by households away from m2 type deposits and into bond and equity mutual funds he found that adding a bond fund series to m2 reduced estimated m2 growth shortfalls orphanides et al 1994 carlson and keen 1996 feldstein and stock 1996 and mehra 1997 also present evidence that the unusual behavior of m2 was related to growth in stock and bond mutual funds koenig 1996a 1996b focused on the competitiveness problems of financial intermediaries in the face of tighter regulations and stricter capital standards he proposed an alternative strategy for empirically modeling m2 by altering the opportunity cost measure to include a long term treasury bond rate this addition substantially improved forecasts of m2 until 1995 when large prediction errors once again appear feinman and porter 1992 and mehra 1997 also attempted to explain recent m2 instability through alternative measures of the opportunity cost rather than refine the opportunity cost or redefine the m2 monetary aggregate carlson et al 2000b present consistent evidence of a cointegrating relationship through the 1990s between real m2 various scale measures and an opportunity cost measure this result is obtained after adjusting for periods of financial restructuring in the early 1990s characterized by a sharp increase in bond and equity funds and a steep decline in small time deposits

results of a study of the stability of cointegrating relations comprised of broad monetary aggregates abstract we find strong evidence of a stable money demand relationship for mzm and m2m through the 1990s though the m2 relation breaks down somewhere around 1990 evidence has been accumulating that the disturbance is well characterized as a permanent upward shift in m2 velocity which began around 1990 and was largely over by 1994 taken together our results support the hypothesis that households permanently reallocated a portion of their wealth from time deposits to mutual funds although this reallocation may have been induced by depository restructuring we argue that the substitution could be explained by appropriately measured opportunity cost

efficient tests of long run causation in trivariate var processes with a rolling window study of the money income relationship this paper develops a simple sequential multiple horizon non causation test strategy for trivariate var models with one auxiliary variable we apply the test strategy to a rolling window study of money supply and real income with the price of oil the unemployment rate and the spread between the treasury bill and commercial paper rates as auxiliary processes ours is the first study to control simultaneously for common stochastic trends sensi tivity of causality tests to chosen sample period null hypothesis over rejection sequential test size bounds and the possibility of causal delays evidence sug gests highly significant direct or indirect causality from m1 to real income in particular through the unemployment rate and m2 once we control for cointe gration

predicting inflation does the quantity theory help i introduction inflation forecasting has played a key role in recent u s monetary policy and this has led to a renewed search for variables that serve as good indicators of future inflation one frequently used indicator based on the phillips curve is the unemployment rate or a similar measure of the output gap as in gerlach and svensson 2003 clark and mccracken 2003 mankiw 2001 and gali and gertler 1999 the phillips curve is believed by many to be the preferred tool for forecasting inflation see e g mankiw 2001 stock and watson 1999a blinder 1997 though as argued by sargent 1999 its use in formulating monetary policy is not without controversy another approach based on the quantity theory of money uses monetary aggregates to predict inflation despite the strong theoretical motivation for this approach though there is little evidence that measures of the nominal money supply are useful for predicting inflation relative to a conventional unemployment rate phillips curve model see stock and watson 1999a for a detailed analysis of the forecast performance of popular inflation indicators stock and watson s results indicate that even simple univariate time series models generally forecast about as well as models that include measures of the money supply so that it is hard to make the case that nominal money supply data have any predictive content for inflation 1 this article evaluates inflation forecasts made by models that allow for prices money and output to be cointegrated and in the process reexamines the question of whether monetary aggregates have marginal predictive content for inflation our work is motivated in part by economic theory as the presence of a cointegrating relationship among the series we look at corresponds to an implicit assumption that prices the money supply and output hang together in the long run an implicit feature of most analyses based on the quantity theory from a statistical point of view a system with cointegrated regressors does not have a finite order vector autoregressive var representation so that a var in differences will be misspecified and may not forecast well regardless of the relevance of the included variables our analysis is therefore focused on the questions are there gains in terms of forecast accuracy from imposing the restriction that prices money and output are cointegrated does it matter whether cointegrating restrictions are imposed a priori based on economic theory or can they be estimated and do models imposing cointegration among prices money and output forecast inflation as well as the phillips curve and other alternative models the econometric framework that we employ is similar to that of stock and watson 1999a but differs from theirs in two ways first stock and watson 1999a consider one year horizon inflation forecasts whereas we consider forecast horizons of up to five years this is potentially important in our context as we include versions of the quantity theory of money in our analysis a theory that arguably may not yield substantive gains to forecasting in the short run additionally future inflation at many horizons is in general of interest to policy makers even if the weight attached to inflation at different horizons is a matter of individual preference so that long run predictions are only unuseful if and when they fail to have marginal predictive content for inflation 2 a second difference between our work and that of stock and watson 1999a is that some of our models differ from theirs including those that impose quantity theory based cointegrating restrictions for example in these types of models we 1 impose a cointegration restriction derived from the assumption of stationary velocity and 2 estimate cointegrating restrictions we also examine a fairly broad variety of linear models including simple autoregressive ar models in levels and differences conventional unemployment rate phillips curve models and var models in levels and differences with money prices and output

money and velocity during financial crises from the great depression to the great recession abstract this study models the demand for a broad monetary aggregate m2 from the great depression through the great recession key to the model is the interaction between a measure of time variation in economic agents perceived financial risk and an index of the cost of portfolio adjustment the finding of a useful money demand relationship suggests that skepticism regarding the indicator role of a broad liquid money aggregate as a policy guide may be exaggerated further our model provides some guidance for policymakers who face the challenge of unwinding large balance sheets as risk premia return to normal and velocity adjusts

a money demand function with output uncertainty monetary uncertainty and financial innovations in a general equilibrium framework incorporating the money in the utility function approach we show that output uncertainty and monetary uncertainty as well as output interest rates and financial innovations affect money demand the estimated long run relationships are consistent with our postulated relation but not with the conventional one our model delivers a high income elasticity consistent with cross sectional evidence and helps resolve m1 demand puzzles the model estimated in dynamic error correction form exhibits a good level of stability and forecastability providing little support for the recent de emphasis of monetary aggregates due to the instability of money demand

measuring money growth when financial markets are changing abstract this article considers constructing monetary aggregates in the presence of financial market innovations and changes in the relationship between individual assets and output we propose two procedures for constructing a monetary aggregate with the objective of providing a reliable monetary leading indicator of nominal gdp in the first subaggregates discretely switch in and out in the second the aggregate s growth is a time varying weighted average of the growth of the subaggregates where the weights follow a multivariate random walk these procedures are used to examine augmenting m2 with stock and or bond mutual funds the alternative aggregates are broadly similar to m2 but during 1992 1993 they outperform m2

a closer look at long run u s money demand linear or nonlinear error correction with m0 m1 or m2 i introduction the stability of money demand has been a long standing issue 1 lucas 1988 informally analyzes the stability of a log linear m1 money demand function and concludes that real money demand is a stable function and he supports earlier findings of meltzer 1963 with an income or wealth elasticity of around unity 2 with the development of cointegration methods engle and granger 1987 numerous empirical studies have applied these techniques to long run u s money demand examples are baba hendry and starr 1992 haferand jansen 1991 hoffman and rasche 1991 and miller 1991 who find support for a cointegrated money demand model with either m1 or m2 3 king et al 1991 also find support for cointegration with m2 and a short term interest rate in contrast to these studies others have argued against a stable u s money demand function in the postwar period for example friedman and kuttner 1992 do not find support for cointegration particularly when the period march 1970 to april 1990 is considered similarly miyao 1996 studies the behavior of the m2 money demand function over the period from 1959 to 1993 with quarterly data and various interest rates in levels and in logs miyao concludes that m2 is not a useful intermediate target for monetary policy in the 1990s 4 however carlson et al 2000 reach the conclusion that m2 does have predictive content for nominal economic activity and that the real m2 money demand function is stable but only after accounting for financial innovation in the first half of the 1990s two recent papers ball 2001 and stock and watson 1993 focus on especially long data sets for the united states and m1 stock and watson 1993 analyze various estimation methods for cointegrating relationships and illustrate their performance for money demand functions with annual data from 1900 to 1987 they pay particular attention to the postwar period and use monthly data in addition to annual data for this period they employ a semi log linear real m1 money demand model with real net national product and the level of the 6 mo commercial paper rate for the postwar period they also consider the 90 day treasury bill rate and the 10 yr treasury bond rate they compare and contrast their results to those of various others they also carry out recursive estimations to check their results for stability stock and watson 1993 conclude that a long span of data is needed to estimate long run money demand functions precisely their overall evidence is in favor of a stable long run money demand function with an income elasticity near one and an interest rate semielasticity near 0 10 however the postwar data are found to be not very informative a lack of low frequency variation in the postwar data as suggested by lucas 1988 does not allow a disentangling of the effects of output and interest rates on money demand for this time period estimates are imprecise and sensitive to subsample specifications due to substantial colinearity ball 2001 revisits the m1 money demand model of stock and watson 1993 using the same data set but extended through 1996 he applies the same array of estimation techniques as stock and watson did ball obtains precise estimates over the postwar period for his extended data set an income elasticity of approximately 0 5 and a semielasticity of 0 05 for the interest rate he does not find support for a velocity specification the m1 model is not stable over the period 1900 1996 lutkepohl terasvirta and wolters 1999 apply a nonlinear error correction model with smooth transition adjustment to capture instabilities in the linear cointegration model the long run equilibrium is described by a linear cointegrating relation and the adjustment to this long run equilibrium is nonlinear they analyze german m1 money demand granger and terisvirta 1993 terasvirta 1998 and van dijk terasvirta and franses 2002 provide details on the econometric theory for estimating and testing such nonlinear models

the effect of barter on the demand for money an empirical analysis abstract the impact of barter on the m2 money demand for the u s is explored the results show that in addition to the traditional explanatory variables the level of barter must be included in the estimates of the demand for money

unit roots interest rate spreads and inflation forecasts recent research suggests that long term interest rate spreads provide information that can be useful in forecasting inflation but that the spread between the three month and six month treasury bill rates appears to have little forecasting ability this paper uses the concepts of unit roots and cointegration to examine the failure of the short term t bill spread to forecast inflation the results suggest that the interest rate spread has little forecasting value because inflation and the interest rate spread exhibit distinctly different time series properties

u s narrow money for the twenty first century i introduction though money retains its fundamental role in a market economy money measures have been noticeably de emphasized within the conduct of u s monetary policy the federal open market committee fomc stopped reporting annual growth objectives for monetary aggregates although it states that money supply still has value for gauging economic conditions board of governors 2000 however a growing body of research calls for returning monetary aggregates to a more prominent role within monetary policy meltzer 1998 asserts that the view of persistent money growth as being the source of inflation is again widely accepted perhaps more firmly held by some central bank governors now than at any time in the twentieth century nelson 2002 provides evidence that base money has a significant effect on output relative to potential in the united states and united kingdom even after controlling for the short term real interest rate nelson 2003 argues that money growth governs the mean and dynamics of inflation in present day new keynesian models leeper and roush 2003 find evidence of an essential role for m2 within the transmission of monetary policy even after controlling for the nominal interest rate 1 this article focuses on the role of sweep programs in properly measuring narrow money in a sweep program banks move a portion of funds from customer demand deposits dds or other checkable deposits ocds into instruments with zero statutory reserve requirements we examine the effects of two types of sweep programs in the united states retail sweep programs and commercial demand deposit sweep programs narrow transactions based money historically has played a key role in the conduct of monetary policy as hafer and wheelock 2001 explain m1 served as the measure of money within the st louis model although monetarists had long been divided over whether a narrow or broad aggregate was the preferable target for monetary policy the fomc appeared to focus on m1 during the 1970s and early 1980s publishing their target ranges for money growth in terms of m1 hafer and wheelock 2001 though state that deviations in m1 velocity from its upward trend beginning in the early 1980s caused instability within the st louis model hoffman and rasche 1991 and hoffman et al 1995 place dummy variables in their vector error correction mechanisms to capture observed shifts in m1 velocity what attention remains on the money supply seems to be focused on broad rather than narrow aggregates but the broad aggregates have not escaped difficulties duca 2000 and hafer and wheelock 2001 document a deviation of m2 velocity from its long run trend in the early 1990s sometimes characterized as the missing m2 episode duca and vanhoose 2004 state that one response was to replace m2 with mzm consistent with the view that heightened substitution between small time deposits and mutual funds other than money market mutual funds mmmfs largely accounted for the instability in m2 velocity but as they go on to discuss m2 and mzm velocity encountered problems in the early 2000s plunging in ways not in line with opportunity cost variables duca and van hoose 2004 state that broader aggregates may have become more vulnerable to portfolio substitution involving stock and mutual funds other than mmmf narrow money has also been used extensively in examining money demand a sizable body of research has emerged that empirically investigates the demand for m1 especially using cointegration techniques hoffman and rasche 1991 hoffman et al 1995 dutkowsky and atesoglu 2001 and ball 2001 provide evidence of a stable long run money demand equation using m1 ball 2002 generates further support with m1 and establishes a correspondence between the partial adjustment formulation and the vector error correction model yet research and policy making using narrow money is currently being hampered by the lack of an accurate measure of transactions based money

is bank supervision central to central banking whether central banks should play an active role in bank supervision and regulation is being debated both in the united states and abroad while the bank of england has recently been stripped of its supervisory responsibilities and several proposals in the united states have advocated removing bank supervision from the federal reserve system other countries are considering enhancing central bank involvement in this area many of the arguments for and against these proposals hinge on the effect this change would have on the ability of the central bank to conduct monetary policy we find that confidential supervisory information on bank ratings significantly improves

the effects of real and nominal uncertainty on inflation and output growth some garch m evidence in this paper we use garch m methods to test four hypotheses about the effects of real and nominal uncertainty on average inflation and output growth in the united states from 1948 to 1996 we find no evidence that higher inflation uncertainty or higher output growth uncertainty raises the average inflation rate we also find no support for the idea that more risky output growth is associated with a higher average real growth rate our key result is that in a variety of models and sample periods inflation uncertainty significantly lowers real output growth copyright 2000 john wiley sons ltd

a model of fiat money and barter abstract we present an infinite horizon model with capital in which fiat money and barter are two competing means of payment fiat money has value because barter is limited by the extent of a double coincidence of wants the pattern of exchange generally involves both money and barter we find that the chicago rule is sufficient for pareto efficiency while nominal interest smoothing is necessary for a specific utility function we provide a complete characterization of the patterns of exchange and calculate the range of inflation rates over which a stationary monetary equilibrium exists journal of economic literatureclassification numbers d51 e42 e52

collateral constraints and the amplification mechanism abstract kiyotaki and moore j polit economy 105 1997 211 have offered a theory for how common shocks to credit constrained firms are amplified through changes in collateral values and transmitted as fluctuations in output i clarify and extend their model by showing that their collateral amplification mechanism is not robust to the introduction of markets that allow these firms to hedge against common shocks a theory of incomplete hedging is proposed in which the supply of hedging available in the economy is constrained by the aggregate value of collateral i illustrate how the constraint reinstates amplification effects and discuss empirical implications of this new mechanism

a theory of money and marketplaces this article considers an infinitely repeated economy with divisible fiat money the economy has many marketplaces that agents choose to visit in each marketplace agents are randomly matched to trade goods there exist a variety of stationary equilibria in some equilibrium each good is traded at a single price whereas in another every good is traded at two different prices there is a continuum of such equilibria which differ from each other in price and welfare levels however it is shown that only the efficient single price equilibrium is evolutionarily stable

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

an evaluation of friedman s monetary instability hypothesis in this article i examine what i call milton friedman s monetary instability hypothesis drawing on friedman s work i argue that there are two main components to this view the first component is the idea that deviations between the public s demand for money and the supply of money are an important source of economic fluctuations the second component of this view is that these deviations are primarily caused by fluctuations in the supply of money rather than the demand for money each of these components can be tested independently to do so i estimate an otherwise standard new keynesian model amended to include a money demand function consistent with friedman s work and a money growth rule for a period from 1875 to 1963 this structural model allows me to separately identify shocks to the money supply and shocks to money demand i then use variance decompositions to assess the relative importance of shocks to the supply and demand for money i find that shocks to the monetary base can account for up to 28 of the fluctuations in output whereas money demand shocks can account for less than 1 of such fluctuations this provides support for friedman s view

the effects of money growth on inflation and interest rates across spectral frequency bands band spectral regression techniques are used to identify the frequency bands that are most important in the relationships between money growth and inflation and between money growth and the nominal interest rate the results show that cycles in the growth rate of m1 from one to two years long produce higher frequency cycles in inflation and two distinct sets of higher frequency cycles in changes in the nominal interest rate the results support models where predictable changes in money growth produce liquidity and anticipated inflation effects on nominal interest rates copyright 1994 by ohio state university press

the d level nested logit model assortment and price optimization problems we consider assortment and price optimization problems under the d level nested logit model in the assortment optimization problem the goal is to find the revenue maximizing assortment of products to offer when the prices of the products are fixed using a novel formulation of the d level nested logit model as a tree of depth d we provide an efficient algorithm to find the optimal assortment for a d level nested logit model with n products the algorithm runs in o d n log n time in the price optimization problem the goal is to find the revenue maximizing prices for the products when the assortment of offered products is fixed although the expected revenue is not concave in the product prices we develop an iterative algorithm that generates a sequence of prices converging to a stationary point numerical experiments show that our method converges faster than gradient based methods by many orders of magnitude in addition to providing solutions for the assortment and price optimization problems

monetary policy and monetary asset substitution abstract this paper shows that changing the target federal funds rate induces changes in relative user costs of monetary assets estimated morishima elasticities of substitution from the fourier flexible form reveal greater substitution from transactions assets and savings deposits into small time deposits than into retail money market mutual funds

a new empirically weighted monetary aggregate for the united states i introduction this article uses an approach to long run econometric modeling proposed by pesaran et al 2001 hereafter pss to develop an empirically weighted broad monetary aggregate for the united states and to demonstrate the advantages of this type of aggregate from a monetary policy perspective in particular we examine the ability of this type of approach to deal with periods of significant financial innovation and money demand instability a key requirement for monetary aggregates to provide a useful role in guiding monetary policy is that they should be stably related to the objectives of policy such as inflation or nominal income growth in this context the united states has exhibited periodic evidence of significant money demand instability most notably these have been goldfeld s 1976 case of the missing m1 in 1973 74 and the missing m2 episode of the early 1990s feldstein and stock 1996 in both cases the aggregate in question experienced a significant velocity increase and as a consequence previously established and apparently stable money demand relationships began to seriously overpredict the growth in these aggregates the missing m1 episode in 1973 74 together with subsequent evidence that m2 was more predictable than m1 led many economists to use m2 as an indicator of nominal activity hence during the 1980s m2 became the primary intermediate target of monetary policy furthermore the primacy of m2 appeared to be well supported by the available empirical evidence feldstein and stock 1994 for example established that the rate of change of m2 was a statistically significant predictor of the rate of change of nominal gross domestic product gdp over the period 1959 92 furthermore m2 remained statistically significant when short term interest rates were added to the relationship subsequent research such as miyao 1996 and estrella and mishkin 1997 however cast doubt on the robustness of this result carlson et al 2000 p 34 for example summarize the current situation by arguing that the promising empirical conclusions of feldstein and stock 1994 that established predictive content for m2 in a vector error correction setting do not seem to find support in data that extend through the mid 1990s the key factor behind the breakdown in the m2 relation appears to have been the substitution away from time deposits and into mutual funds particularly stock and bond mutual funds in the low interest rate environment of the early 1990s although the definition of m2 has been expanded by the federal reserve in the past to include money market mutual funds mmmfs and money market deposit accounts mmdas for example a number of analysts duca 1995 darin and hetzel 1994 orphanides et al 1994 have advocated that m2 should be expanded further to include these stock and bond mutual funds m2 significantly these studies typically use the simple sum aggregation approach in which all component assets are given equal and constant weights over time this approach does not seem consistent however with the accumulating evidence of a significant shift in wealth holders preferences sometime in the early 1990s carlson et al 2000 for example add to the empirical evidence that had accumulated during the 1990s by suggesting that the instability was associated with a permanent upward shift in m2 velocity between 1990 and 1994 furthermore they argue that our results support the hypothesis that households permanently reallocated a portion of their wealth from time deposits to mutual funds p 381 clearly simple sum aggregation is not able to take account of these changes in preferences more significantly however simple sum aggregation cannot take account of any changes in the relationship between component assets and nominal income over time although carlson et al 2000 do manage to reestablish a stable money demand relationship for the mzm money at zero maturity and m2m m2 minus small time deposits aggregates through the 1990s this is only possible by specifically accounting for the financial innovation that occurred in the early 1990s