optimal discretionary monetary policy in a model of asymmetric central bank preferences this paper considers optimal monetary policy in the context of the central bank adopting an asymmetric objective function our results show that under asymmetric preferences many of the extant results on the time consistency problem need no longer hold

financing and funding health care optimal policy and political implementability health care financing and funding are usually analyzed in isolation this paper combines the corresponding strands of the literature and thereby advances our understanding of the important interaction between them we investigate the impact of three modes of health care financing namely optimal income taxation proportional income taxation and insurance premiums on optimal provider payment and on the political implementability of optimal policies under majority voting considering a standard multi task agency framework we show that optimal health care policies will generally differ across financing regimes when the health authority has redistributive concerns we show that health care financing also has a bearing on the political implementability of optimal health care policies our results demonstrate that an isolated analysis of optimal provider payment rests on very strong assumptions regarding both the financing of health care and the redistributive preferences of the health authority

asymmetric shocks and monetary policy in a currency union we analyze the conduct of monetary policy in a currency union in the face of asymmetric shocks in particular we compare the stabilization properties of a currency union versus alternative exchange rate arrangements the relative performance of a currency union is shown to depend on the extent of economic integration in patterns of consumption and production and on the relative weights placed on price stability versus employment stability in the monetary authority s objective function jel classification f33 f40

cyclical and causal relations between real wages and employment in the eu this paper analyses and compares the joint behaviour of real wages and employment over the business cycle in the european union eu economies using both annual and quarterly data since 1960 further investigation of the cointegrating properties and the existence of causal effects in the real wage employment relation is undertaken by employing appropriate var models the evidence suggests weak procyclical or acyclic behaviour of real wages relative to cyclical employment in the quarterly data and stronger procyclicality in the annual data thus confirming the dunlop tarshis result for the majority of the eu economies with a few exceptions no cointegrating relations were detected while the granger causality tests suggest either weak or lack of unidirectional causality finally the sensitivity analysis showed that the filtering method has not much influence on the results but the choice of deflator may overturn them in certain cases

central bank preferences and macroeconomic equilibrium abstract we investigate the behavior of an optimizing monetary authority in an economy described by a simple as ad model we develop a simple methodology for deriving the optimal policy and the associated model solution for various forms of the authority s objectives in our empirical work we focus on one of these specifications in which the authority cares about both the rate of inflation and the level of price innovations which boost real output in our model along the lines of barro and gordon 1983b estimating the model on post war us data we find that the revealed weight on price surprises is significant but only around a third of that on inflation the estimated elasticity of output with respect to price surprises is around one quarter but statistically insignificant

taxes redistribution and the minimum wage a theoretical analysis this paper considers a simple general equilibrium model that contains two types of workers with differing levels of ability and a social welfare maximizing government the paper shows that social welfare can sometimes be increased by supplementing an optimal linear income tax with a minimum wage but that social welfare can never be increased by supplementing an optimal nonlinear income tax with a minimum wage

the inflation bias when the central bank targets the natural rate of unemployment abstract this paper studies the proposition that an inflation bias can arise in a setup where a central banker with asymmetric preferences targets the natural unemployment rate preferences are asymmetric in the sense that positive unemployment deviations from the natural rate are weighted more or less severely than negative deviations in the central banker s loss function the bias is proportional to the conditional variance of unemployment the time series predictions of the model are evaluated using data from g7 countries econometric estimates support the prediction that the conditional variance of unemployment and the rate of inflation are positively related

does money matter in canada evidence from a vector error correction model this paper investigates the statistical properties of a set of canadian and u s economic time series and uses the data to address the question of the importance of monetary variables in canadian business cycle fluctuations the individual time series are found to contain unit roots but the data reveal the existence of several economically meaningful cointegrating vectors a multivariate vector error correction model is estimated and canadian velocity which appears as an error correction term is significant in the canadian output equation this supports the contention that monetary variables have predictive content for real output copyright 1989 by mit press

reconsidering the role of money for output prices and interest rates abstract new keynesian models of monetary policy downplay the role of monetary aggregates in the sense that the level of output prices and interest rates can be determined without knowledge of the quantity of money this paper evaluates the empirical validity of this prediction by studying the effects of shocks to monetary aggregates using a vector autoregression var shocks to monetary aggregates are identified by the restrictions suggested by new keynesian monetary models contrary to the theoretical predictions shocks to broad monetary aggregates have substantial and persistent effects on output prices and interest rates

interest rate smoothing and price level trend stationarity abstract this paper discusses the definition and mechanics of central bank interest rate smoothing under rational expectations a tension arising between interest rate smoothing and macroeconomic stabilization objectives induces non trend stationary price level and money stock behavior the paper thereby helps explain why such nominal non stationarities are widely observed further implications are drawn for base drift distribution of real returns on long term fixed rate nominal debt and operating characteristics of interest rate pegs and policy instruments

nominal wage flexibility wage indexation and monetary union membership in a monetary union implies stronger incentives for nominal wage flexibility in the form of wage indexation and shorter contract length than non membership this counteracts the stabilisation policy cost of giving up monetary independence but more wage flexibility is only an imperfect substitute for an individual monetary policy it is possible that an increase in wage flexibility is welfare decreasing because of the accompanying rise in price variability the interaction between wage setting and central bank behaviour may result in either multiple equilibria or a unique full indexation equilibrium

the politics of redistributive social insurance this paper analyses the political support for a social insurance that includes elements of redistribution when there exists an imperfect private insurance alternative individuals differ both in their income and risk the social insurance is compulsory and charges an income related contribution with pooling of risks the private insurance is voluntary and charges a contribution based on individual risks however due to the adverse selection problem private insurance companies provide only partial insurance adopting a non expected utility model we show that there is a general majority support for social insurance and that this support is increasing with risk aversion we also show that a mixed insurance is politically impossible regardless of the degree of redistribution of social insurance and the joint distribution of risk and income in the population lastly we analyse how the political support for social insurance is affected by any change in its redistributive component and the possibility of using genetic tests

inflation targeting under asymmetric preferences this paper develops and estimates a game theoretical model of inflation targeting where the central banker s preferences are asymmetric around the targeted rate specifically positive deviations from the target can be weighted more or less severely than negative ones in the central banker s loss function it is shown that some of the previous results derived under the assumption of symmetry are not robust to this generalization of preferences estimates of the central banker s preference parameters for canada sweden and the uk are statistically different from the one implied by the commonly used quadratic loss function

social insurance and redistribution with moral hazard and adverse selection rochet 1991 showed that with distortionary income taxes social insurance is a desirable redistributive device when risk and ability are negatively correlated this finding is re examined when ex post moral hazard and adverse selection are included and under different informational assumptions individuals can take actions influencing the size of the loss in the event of accident or ill health social insurance can be supplemented by private insurance but private insurance markets are affected by both adverse selection and moral hazard we study how equity and efficiency considerations should be traded off in choosing the optimal coverage of social insurance when those features are introduced the case for social insurance is strongest when the government is well informed about household productivity

the dynamic effects of aggregate demand and supply disturbances we interpret fluctuations in gnp and unemployment as due to two types of disturbances disturbances that have a permanent effect on output and disturbances that do not we interpret the first as supply disturbances the second as demand disturbances demand disturbances have a hump shaped mirror image effect on output and unemployment the effect of supply disturbances on output increases steadily over time peaking after two years and reaching a plateau after five years

money output and the expected real interest rate this paper tests the exclusion of lagged growth rates of money and output from regression equations with serially correlated disturbances for the expected real interest rate the authors empirical approach is an extension of the empirical strategies of eugene f fama 1975 and frederic s mishkin 1981 which invoke the orthogonality of the inflation forecast error to predetermined regressors under the maintained hypothesis of rational expectations they discuss the implications of their tests for simple real business cycle models copyright 1991 by mit press

interest rate targeting abstract the paper develops a model in which the monetary authority successfully targets the nominal interest rate while also holding down the forecast variance of the price level the latter objective pins down the extent of monetary accommodation to shifts in the demand for money and other shocks and thereby makes determinate the levels of money and prices at each date empirical evidence for the united states suggests that the model s predictions accord reasonably well with observed behavior for nominal interest rates growth rates of the monetary base and rates of inflation

money does granger cause output in the bivariate money output relation abstract a bivariate granger causality test on money and output finds statistically significant causality when data are measured in log levels but not when they are measured in first differences of the logs bootstrap simulation experiments indicate that most probably the first difference results reflect lack of power whereas the level results reflect granger causality that is actually in the data the reason for the lack of power in the first difference f statistic is that first differencing the data appears to entail a specification error by showing that money does granger cause output in the bivariate relation we remove a potential embarrassment for models that assign an important role to money in business fluctuations

nonmonotonic demand for income redistribution benefits the case of afdc two different motives are often advanced to explain taxpayer nonrecipient support for income redistribution programs the first motive is the result of interdependent utilities between nonrecipients and the recipients of redistribution program benefits the source of this interdependence could be taxpayer altruism alternatively redistribution might be seen as one way to alleviate the potential for crime or social unrest recent theoretical analyses have suggested a second motiveincome redistribution programs act as protection against the possibility of unforseen loss in personal income 5 6 21 32 researchers using panel data find widespread random and temporary movements in individual income poverty and welfare program use that would seem to suggest a potentially significant insurance demand for redistribution programs 2 the results from one study for example indicate that while four to five percent of the total u s population could be classified as persistent recipients of welfare program benefits between 1969 and 1978 receiving program benefits in at least five of those years over one quarter of the u s population participated in welfare programs at least once over this same ten year period 9 74 in the past researchers estimating nonrecipient support for income transfer programs have considered only one of these two motives while ignoring the other 3 this paper extends the examination of the demand for income redistribution by integrating the public good and social insurance demand motives into one model the first part of the paper sets up the individual s decision model for income redistribution one consequence of interacting the public good and social insurance motives into one model is that support for higher benefit payments is expected to come from the tails of the income distribution low income individuals both recipients and nonrecipients benefit directly from the reduced risk of income randomness while high income

breaking trends and the money output correlation this paper examines the impact on the money output correla tion of a univariate specification that allows time series to be characterized as stationary around a broken trend function though pretesting suggests that u s real output industrial production can be described as broken trend stationary this result has only limited impact on the money output correlation before 1985 there is a strong granger causal relationship between money and broken detrended output but not first differenced output even when different short term interest rates are used as regres sors however after 1985 this relationship weakens significantly whether or not one determines that output has a unit root

on non uniqueness in rational expectations models an attempt at perspective abstract many macroeconomic models involving rational expectations give rise to an infinity of solution paths even when the models are linear in all variables some writers have suggested that this non uniqueness constitutes a serious weakness for the rational expectations hypothesis one purpose of the present paper is to argue that the non uniqueness in question is not properly attributable to the rationality hypothesis but instead is a general feature of dynamic models involving expectations it is also argued that there typically exists in a very wide class of linear rational expectations models a single solution that excludes bubble or bootstrap effects one that occur only because they are arbitrarily expected to occur a systematic procedure for obtaining solutions free from such effects is introduced and discussed in addition this procedure is used to interpret and reconsider several prominent examples with solution multiplicities including ones developed by fischer black and john b taylor

price level determinacy with an interest rate policy rule and rational expectations abstract this paper reconsiders a result obtained by sargent and wallace namely that price level indeterminacy obtains in their model if the monetary authorities adopt a feedback rule for the interest rate rather than the money stock it is shown that the indeterminacy vanishes if the interest rate rule is chosen so as to have a desired effect on the expected quantity of money demanded this holds even if considerable weight is given in the choice of a rule to the aim of smoothing interest rate fluctuations

mcis and monetary policy abstract several central banks have recently adopted a monetary conditions index mci to guide monetary policy under floating exchange rates this paper discusses some analytical and practical questions raised by mcis furthermore using data for australia canada and new zealand which all operate monetary policy under floating rates and with an inflation target it estimates the responses of the central banks to exchange rate changes the results reveal clear differences between central banks while the reserve bank of australia does not appear to respond the bank of canada and the reserve bank of new zealand who use the mci as an operating target do respond quite strongly to movements in the exchange rate

real balance effects and monetary policy i introduction modern literature on monetary policy rules employs new keynesian optimizing models that do not explicitly include monetary aggregates see e g rotemberg and woodford 1997 clarida et al 1999 taylor 1999 in these models the demand for output derives from the log linearization of the standard euler equation characterizing household s saving decisions the real money stock does not enter the is relation and therefore monetary policy affects output and inflation only through its effect on the real interest rate when the nominal interest rate is the policy instrument it is not necessary to specify a money market equilibrium condition see romer 2000 the practice of neglecting monetary aggregates in monetary policy analysis has recently been questioned by meltzer 1999 mccallum 2001 and nelson 2002 2003 in particular mccallum 2001 points out that although no explicit term involving money appears in the standard new keynesian setup long run inflation can still be pinned down by the economy steady state nominal money growth rate moreover mccallum 2000 2001 andres et al 2001 kremer et al 2003 woodford 2003 ireland 2004a and collard and dellas 2005 analyze the case in which the resources used by consumers in conducting transactions are modeled by a nonseparable function of consumption and real money balances meltzer 1999 2001 argues that changes in real monetary base generate effects on real aggregate demand not summarized by the real interest rate on short term securities nelson 2003 emphasizes the role of money in the transmission mechanism both as a proxy for a whole spectrum of rates of return and as an indicator variable which contains information about the state of the economy the main aim of the present article is to provide additional microfoundations for an explicit role for money in the current macroeconomic debate in particular i derive a real balance effect that explicitly enters the is relation within an optimizing general equilibrium framework of the new keynesian type according to de scitovszky 1941 haberler 1946 pigou 1943 and patinkin 1965 a change in real money balances has an impact on the real financial wealth of consumers and therefore affects consumption and output notably this effect is not considered in traditional models there is in fact empirical evidence showing that real monetary base growth is a significant determinant of consumption and output gap in both the united states and in the united kingdom see chari et al 1995 meltzer 1999 nelson 2002 the present article extends the dynamic stochastic new keynesian setup with money in the utility function by introducing overlapping generations as modeled by yaari 1965 and blanchard 1985 there are good reasons to base the demand side of the economy on a discrete time stochastic monetary version of the yaari blanchard model first this kind of extension allows one to maintain the main characteristics of the so called new neoclassical synthesis that is forward looking behavior of optimizing agents and incomplete nominal adjustment of prices featured in new keynesian theories goodfriend and king 1997 second the derivation of the real balance effect does not require nonseparability in the utility function thus the implications are analytically more tractable 1 third my framework is more general because it includes the immortal representative agent setup as a particular case my analysis attempts to examine whether the presence of an explicit real balance effect in the is relation helps evaluate the role for money in designing monetary policy rules i focus on basic issues concerning the design of monetary policy rules specifically i investigate whether it is necessary for monetary policy to overreact to inflation by raising the nominal interest rate by more than the observed increase in inflation to rule out equilibrium multiplicity

financial market variables do not predict real activity i introduction the past decade has seen an extensive empirical reassessment of the information content of financial market variables believed to be sensitive to monetary policy particularly provocative are papers suggesting that some interest rates and interest rate spreads contain more information about economic activity than monetary aggregates this paper reviews important methodological pitfalls in these studies we then show that none of the commonly employed indicators of monetary policy contain incremental information useful in forecasting real economic activity as measured by industrial production two conclusions are possible either monetary policy innovations have no significant real effects or we collectively have failed in our efforts to measure monetary policy the money income causality literature spawned by christopher sims in the 1970s has broadened in recent years to encompass a diverse set of measures of monetary policy more comprehensive and sophisticated empirical assessment strategies and a richer array of explanations for observed correlations between financial market variables and economic activity early contributors to this literature such as stock and watson 1989 friedman and kuttner 1992 and bernanke and blinder 1992 present evidence that particular interest rates and spreads not only dominate monetary aggregates as predictors of economic performance but are remarkably powerful predictors stock and watson 1989 and friedman and kuttner 1992 demonstrate that the spread between the interest rates on commercial paper and treasury bills is highly significant in explaining movements in real activity while bernanke and blinder 1992 made an equally convincing case for the federal funds rate these conclusions are qualified however in subsequent work both bernanke 1990 and stock and watson 1993 for example point out that the predictive power of the paper bill spread and interest rates more generally weakened during the second half of the 1980s and the early 1990s the results reported in these and related papers form the empirical core of the debate over the relative merits of various interest rates spreads and monetary aggregates as indicators of the stance of monetary policy subsequent empirical work has seen a shift from atheoretical to structural vector autoregressions strongin 1992 gordon and leeper 1994 and bernanke and mihov 1995 for example focus on more refined measures of monetary policy derived from explicit models of the reserve market and central bank operating procedures these papers address concerns that go beyond discriminating among variables on the basis of predictive power they grapple directly with the fundamentally difficult issue of identifying monetary policy shocks by positing and estimating structural models that take the form of identified vars the usefulness of these efforts as well as earlier efforts to measure monetary policy is in turn questioned by rudebusch 1996 who finds that the studies econometric results are fragile and at odds with other evidence on the nature of the fed s reaction function and monetary policy surprises the first part of our paper illustrates some of the methodological pitfalls common in the literature cited above and complements recent work by bernanke 1990 hess and porter 1993 thoma and gray 1995 rudebusch 1996 and emery 1996 we begin by demonstrating the advantages of rolling recursive regression techniques that directly and comprehensively address the question of sample sensitivity these techniques are used to illustrate the extreme sensitivity to sample period of the causality statistics and variance decompositions commonly used to assess the explanatory power of financial market variables indeed in the applications under review here such in sample measures of fit are sometimes heavily influenced by individual monthly observations

money and output viewed through a rolling window abstract we examine the extent to which fluctuations in the money stock anticipate or granger cause fluctuations in real output using a variety of rolling window and increasing window estimation techniques various models are considered using simple sum as well as divisia measures of m 1 and m 2 income prices and both the t bill rate and the commercial paper rate findings indicate that the relation between income money prices and interest rates is stable as long as sufficient data are used and that there is cointegration among the variables considered although cointegration spaces become very difficult to estimate precisely when smaller windows of data are used further both m 1 and m 2 are shown to be important predictors of income for the entire period from 1960 2 1996 3 based on modified versions of what we term the most damaging specifications from friedman and kuttner 1993 and thoma 1994 our new evidence is based in part on a rather novel model selection approach to examining the relationship between money and income 1998 elsevier science b v all rights reserved

does the time consistency problem explain the behavior of inflation in the united states abstract this paper derives the restrictions imposed by barro and gordon s theory of time consistent monetary policy on a bivariate time series model for inflation and unemployment and tests those restrictions using quarterly us data from 1960 through 1997 the results show that the data are consistent with the implications of the theory for the long run behavior of the two variables indicating that the theory can explain the initial rise and subsequent fall of inflation over the past four decades the results also suggest that the theory must be extended to account more fully for the short run dynamics that appear in the data

premium subsidies and social health insurance substitutes or complements premium subsidies have been advocated as an alternative to social health insurance these subsidies are paid if expenditure on health insurance exceeds a given share of income in this paper we examine whether this approach is superior to social health insurance from a welfare perspective we show that the results crucially depend on the correlation of health and productivity for a positive correlation we find that combining premium subsidies with social health insurance is the optimal policy

budget effects of health care vouchers abstract several proposals aim at developing private insurance markets as a substitute for government financing of health care spending reform proposals typically include the use of the fiscal system we look at the effects of vouchers as an instrument for inducing individuals to opt out from public health insurance plans we show that vouchers do lead individuals mainly good health risks to opt out from the social program this is accompanied by an overall increase in government spending due to transfers to be made unless significant savings due to moral hazard control are available this may run against the government s objective of public spending containment the result is fairly general and does not depend on the existence of a solidarity component as it has been commonly argued

public health insurance and optimal income taxation abstract if individuals differ not only in their inherent capacity to earn income but also in the probability that they will fall ill can subsidized public health insurance be justified on the grounds that it serves as an efficient tool to redistribute welfare this question is analyzed in a model where the social welfare function is a weighted average of individual expected utilities and where taxation is by a linear income tax the answer is yes except in certain special cases

optimal social health insurance with supplementary private insurance abstract this paper investigates the structure of a national health service in which there is compulsory social insurance covering a package of essentials a given part of individuals health expenditure and supplementary private policy topping up the remaining services the latter insurance contract provides for a co payment by patients limiting the so called third party payer effect thus an individual s health expenditure is divided into three parts the first covered by social insurance the second by a private policy and the third out of pocket such mixed system design has received increasing attention in recent years and has been adopted by several industrialized countries the conditions for optimal rates of social insurance coverage and of private coinsurance are analysed and discussed the optimality requirements refer to efficiency as well as equity concerns

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

the information content of the interest rate and optimal monetary policy optimal monetary policy rules are derived in a rational expectations cum contracting framework monetary policy is redundant if wage setters exploit the incomplete current information embodied in today s nominal interest rate however the monetary authorities can save wage setters the costs of indexing to the interest rate a contemporaneous money supply feedback rule is as effective as wage indexation a lagged rule relevant under a regime of money supply targeting is also as effective if investors use the interest rate both rules have the same implications for the real interest rate as poole s combination policy however the two rules have strikingly different implications for the nominal interest rate

majority rule and the public provision of a private good this paper extends the literature on the socialization of commodities by developing a model of voting over the public provision of a private good health care

regime switching and monetary policy measurement this paper applies regime switching methods to the problem of measuring monetary policy policy preferences and structural factors are specified parametrically as independent markov processes interaction between the structural and preference parameters in the policy rule serves to identify the two processes the estimates uncover policy episodes that are initiated by switches to dove regimes shown to granger cause both nber recessions and the romer dates these episodes imply real effects of monetary policy that are smaller than those found in previous studies

targeting nominal income growth or inflation within a simple new keynesian model emphasizing forward looking behavior of private agents i evaluate optimal nominal income growth targeting versus optimal inflation targeting when the economy is mainly subject to shocks that do not involve monetary policy trade offs for society inflation targeting is preferable otherwise nominal income growth targeting may be superior because it induces inertial policy making which improves the inflation output gap trade off somewhat paradoxically inflation targeting may be relatively less favorable the more society dislikes inflation and the more persistent are the effects of inflation generating shocks jel e42 e52 f58

voluntary public health insurance we look at the consequences of allowing public health insurance puhi to be voluntary when its coverage can be supplemented in the market puhi redistributes with respect to risk and income and the market is affected by adverse selection we argue that making puhi voluntary does not lead to its collapse since individuals always participate in it additionally in some cases a voluntary puhi scheme increases market efficiency because participation in it sends a signal to private insurers of an individual s health risk type the welfare consequences depend on the status quo if in the status quo no political support exists for a compulsory puhi making it voluntary constitutes a pareto improvement and in some cases all individuals are strictly better off if instead the status quo implements compulsory puhi making it voluntary then results in less redistribution

does money still matter for u s output abstract in this note we use an out of sample approach to investigate whether money growth granger causes output growth in the united states we find that after the great moderation the granger causal role of money appears to have vanished completely

larger crises cost more impact of banking sector instability on output growth we propose a method for calculating the macroeconomic costs of banking crises that controls for the downward impact of recessions on banking activity in contrast to earlier research we estimate the cost of crises based on the size of banking crises the extent of a crisis is measured using banking sector aggregates the results based on our method and data from over 100 banking crises suggest that the size of a crisis matters for economic growth lower credit deposit and money growth during crises cause gdp growth to decline

more evidence on the money output relationship i introduction the empirical relationship between money and real output continues to produce conflicting evidence stock and watson 1989 using monthly u s data for the period 1960 85 report that while actual money growth m1 does not granger cause the growth of industrial production its detrended component does krol and ohanian 1990 internationalize stock and watson s study and find that both actual and detrended ml growth granger cause output growth in the u k but that neither series affects output growth in japan canada and germany friedman and kuttner 1992a 1992b 1993 question the role of money in explaining output behavior they report 1993 that even though the stock watson specification is used simply updating the sample through 1990 yields the result that detrended m1 growth no longer explains output growth friedman and kuttner also argue that the commercial paper rate or the spread between the three month treasury bill and the commercial paper rate provides a better gauge for output s reaction to monetary policy changes replacing the treasury bill rate used by stock and watson with the commercial paper rate or the spread friedman and kuttner find that m1 growth has no marginal explanatory power over output a feature of recent investigations of the money output link is the general use of a var specification based on the presumption that the series are difference stationary e g feldstein and stock 1994 several recent studies however have questioned this presumption due to the low power of unit root tests dejong et al 1992 dejong 1992 dejong and whiteman 1991a 1991b and rudebusch 1993 these studies suggest that it is difficult to distinguish between difference stationary as the null and trend stationary as the alternative hypothesis given the uncertainty about the existence of a unit root in economic time series we re examine the money output relation by specifically considering the affect of assuming that the series are trend stationary or difference stationary such an investigation is important to determine if permanent temporary changes in money and other series create permanent temporary shifts in real output for example if real output and money contain a unit root i e they are best represented by the difference stationary model permanent money shocks may produce permanent shifts in output put another way permanent money shocks may have a long run impact because they affect the stochastic trend component of output and thus change the output level for all future horizons on the other hand if output and other series are represented by a trend stationary model fluctuations around a trend level of these series are stationary mean reverting under this model a transitory money shock may only have a short run impact on output as it quickly returns to its trend level to analyze the sensitivity of results to different stationarity assumptions used we estimate two var systems one system uses the log levels of the variables along with a deterministic time trend the other uses the log difference of the series and excludes the trend term the first system represents the trend stationary specification and the second one represents the difference stationary specification there is some evidence that the money output link may be sensitive to the presence of a deterministic trend term e g eichenbaum and singleton 1986 stock and watson 1989 even so our study provides a direct comparison based on identical data sets of the effects that the two different stationarity specifications have on the money output results while testing the robustness of the money output connection is our main focus we also provide some different perspectives on the debate one is to use both long and short term data sets most studies limit the analysis to quarterly data from the post 1960 era we study the link between money interest rates and output using annual data over the extended period 1915 1993

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