Money and macroeconomic performance: revisiting divisia money

Recent research suggests that the relation between money and the macroeconomy has sharply weakened in the U.S. after 1980. We reexamine this alleged breakdown by testing for cointegration between the macroeconomy and simple-sum and Divisia monetary aggregates. We check the robustness of our results by modeling multiple key breakpoints around the early 1980s. Unlike the case of simple-sum monetary aggregates, the evidence is overwhelming in its support for cointegration between Divisia money and macroeconomic variables, which persists despite several policy shifts and dramatic financial innovations in the post-1980 period. These results support Divisia money over simple-sum monetary aggregates as a guide in the implementation of monetary policy.     

Financial innovation and Divisia monetary indices in Taiwan: a neural network approach

In this paper a weighted index measure of money using the ‘Divisia’ formulation is constructed for the Taiwan economy and its inflation forecasting potential is compared with that of its traditional simple sum counterpart. This research extends an earlier study by Gazely and Binner by examining the theory that rapid financial innovation, particularly during the financial liberalization of the 1980s, has been responsible for the poor performance of conventional simple sum monetary aggregates. The Divisia index is adjusted in two ways to allow for the major financial innovations that Taiwan has experienced since the 1970s. The technique of neural networks is used to allow a completely flexible mapping of the variables and a greater variety of functional form than is currently achievable using conventional econometric techniques. Results suggest that superior tracking of inflation is possible for networks that employ a Divisia M2 measure of money that has been adjusted to incorporate a learning mechanism to allow individuals to gradually alter their perceptions of the increased productivity of money. Divisia measures of money appear to offer advantages over their simple sum counter parts as macroeconomic indicators.     

U.S. domestic money, inflation and output

Recent empirical research documents that the strong short-term relationship between U.S. monetary aggregates on one side and inflation and real output on the other has mostly disappeared since the early 1980s. Using the direct estimate of flows of U.S. dollars abroad we find that domestic money (currency corrected for the foreign holdings of dollars) contains valuable information about future movements of U.S. inflation and real output. Statistical evidence suggests that the Friedman-Schwartz stylized facts can be reestablished once the focus of analysis is back on the correct measure of domestic monetary aggregates.     

On money and output: Is money redundant?

There is an emerging consensus that money can be largely ignored in making monetary policy decisions. Rudebusch and Svensson [1999, Policy Rules and Inflation Targeting. In Taylor, J.B. (Ed.), Monetary Policy Rules. University of Chicago Press, Chicago, 203-246; 2002, Eurosystem Monetary Targeting: Lessons from US Data. European Economic Review 46, 417-442] provide some empirical support for this view. We reconsider the role of money and find that money is not redundant. More specifically, there is a significant statistical relationship between lagged values of money and the output gap, even when lagged values of real interest rates and lagged values of the output gap are accounted for. We also find that inside and outside money provide significant information in predicting movements in the output gap.     

Maintaining low inflation: Money, interest rates, and policy stance

This paper presents a systematic empirical relationship between money and subsequent prices and output, using US, euro area and Swiss data since the 1960-1970s. Monetary developments, unlike interest rate stance measures, are shown to provide qualitative and quantitative information on subsequent inflation. The usefulness of monetary analysis is contrasted to weaknesses in modeling monetary policy and inflation with respectively short-term interest rates and real activity measures. The analysis sheds light on the recent change in inflation volatility and persistence as well as on the Phillips curve flattening, and reveals drawbacks in pursuing a low inflation target without considering monetary aggregates.     

Money stock revisions and unanticipated money growth

An important ‘empirical regularity’ is the strong positive effect of money shocks on output and employment. One strand of business cycle theory relates this finding to temporary confusions between absolute and relative price changes. These models predict positive output effects of unperceived monetary movements, but the quantitative importance of unperceived shifts in nominal aggregates is subject to question. Another strand of theory, based on long-term nominal contracts and analogous price-setting institutions, generates output effects from unanticipated, but not necessarily contemporaneously unperceived, money shocks. However, the real effects of unpredicted, but contemporaneously understood, monetary changes are not obviously consistent with efficient institutional arrangements. The present paper provides some empirical evidence on the two types of theories by analyzing the output effects associated with revisions in the money stock data, where the revisions are interpreted as components of unperceived monetary movements. The revisions turn out to have no significant explanatory power for output. Previous findings that innovations from an estimated money growth equation have a significant output effect remain intact when the revisions are included as separate explanatory variables. Overall, the study provides a small amount of evidence against the special role of unperceived, as opposed to unanticipated, money movements as a determinant of business fluctuations.     

Habit formation and the persistence of monetary shocks

The dynamic effects and relative importance of monetary shocks in the US business cycle are studied using a sticky-price dynamic stochastic general equilibrium model with habit formation and capital adjustment costs. The model is estimated via maximum likelihood using data on output, real money balances, and the nominal interest rate. Econometric results indicate that the model has a strong internal propagation mechanism that can explain the persistent and hump-shaped response of US output and consumption to monetary shocks.     

Monetary policy and distribution

A segmented markets model of monetary policy is constructed, in which a novel feature is goods market segmentation, and its relationship to conventional asset market segmentation. The implications of the model for the response of prices, interest rates, consumption, labor supply, and output to monetary policy are determined. As well, optimal monetary policy is studied, as are the costs of inflation. The model features persistent nonneutralities of money, relative price effects of increases in the money supply, persistent liquidity effects, and a negative Fisher effect from a money supply increase. A Friedman rule is in general suboptimal.     

Reconsidering the role of money for output, prices and interest rates

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.     

Inflation dynamics: A cross-country investigation

We document that “persistent and lagged” inflation (with respect to output) is a world-wide phenomenon in that these short-run inflation dynamics are highly synchronized across countries. In particular, the average cross-country correlation of inflation is significantly and systematically stronger than that of output, while the cross-country correlation of money growth is essentially zero. We investigate whether standard monetary models driven by monetary shocks are consistent with the empirical facts. We find that neither the new Keynesian sticky-price model nor the sticky-information model can fully explain the data. An independent contribution of the paper is to provide a simple solution technique for solving general equilibrium models with sticky information.     

The Discounted Economic Stock of Money with VAR Forecasting

We measure the economic capital stock of money implied by the Divisia monetary aggregate service flow, in a manner consistent with asset pricing theory. Based on Barnett’s (Monetary policy on the 75th anniversary of the Federal Reserve System, pp. 232–244, Kluwer, Boston, 1991) definition of the economic stock of money, we estimate the expected discounted flow of expenditure on the services of monetary assets, where expenditure on monetary services is evaluated at the user costs of the monetary components. We use forecasts based on martingale expectations, asymmetric vector autoregressive expectations, and the Bayesian vector autoregressive expectations. We find the resulting capital-stock index to be surprisingly robust to the modeling of expectations.     

Data sources for the credit-card augmented Divisia monetary aggregates

In 2013, the Center for Financial Stability (CFS) initiated its Divisia monetary aggregates database, maintained within the CFS program called Advances in Monetary and Financial Measurement (AMFM), based on Barnett (1980, 2012). The CFS will soon be making available Divisia monetary aggregates extended to include the transactions services of credit cards. The extended aggregates will be called the augmented Divisia monetary aggregates and will be available to the public in monthly releases. The new aggregates will also be available to Bloomberg terminal users. The theory on which the new aggregates are based is provided in Barnett and Su (2014).¹ In this paper, we provide detailed information on the data sources used in producing the new augmented Divisia monetary aggregates.     

Divisia Monetary Aggregates,the Great Ratios,and Classical Money Demand Functions

King et al. ( 1991 ) evaluate the empirical relevance of a class of real business cycle models with permanent productivity shocks by analyzing the stochastic trend properties of postwar U.S. macroeconomic data. They find a common stochastic trend in a three‐variable system that includes output, consumption, and investment, but the explanatory power of the common trend drops significantly when they add money balances and the nominal interest rate. In this paper, we revisit the cointegration tests in the spirit of King et al., using improved monetary aggregates whose construction has been stimulated by the Barnett critique. We show that previous rejections of the balanced growth hypothesis and classical money demand functions can be attributed to mismeasurement of the monetary aggregates.     

Money Creation: Tax or Public Liquidity?

I revisit the example of non‐neutral anticipated monetary expansions used in Lucas (1995) Nobel Prize Lecture, within a broader definition of monetary policy tools, such as paying a nominal return on money or using open market operations, to show that money expansions increase output by reallocating consumption across heterogenous individuals and time periods. This result survives with noninterest‐bearing cash when the latter does not generate relevant distortions.     

Optimal simple and implementable monetary and fiscal rules

Welfare-maximizing monetary- and fiscal-policy rules are studied in a model with sticky prices, money, and distortionary taxation. The Ramsey-optimal policy is used as a point of comparison. The main findings are: the size of the inflation coefficient in the interest-rate rule plays a minor role for welfare. It matters only insofar as it affects the determinacy of equilibrium. Optimal monetary policy features a muted response to output. Interest-rate rules that feature a positive response to output can lead to significant welfare losses. The welfare gains from interest-rate smoothing are negligible. Optimal fiscal policy is passive. The optimal monetary and fiscal rule combination attains virtually the same level of welfare as the Ramsey-optimal policy.     

Wealth Distribution, Inflation Tax, and Societal Benefits of Illiquid Bonds

Illiquid nominal government bonds are shown to have two opposing effects on welfare. First, the relatively poor choose to top-up money balances for future consumption by purchasing nominal bonds at a discount. The wealth distribution becomes more centered with a smaller consumption deviation from the first best. Second, the higher inflation tax on monetary wealth to finance interest payments makes money less valuable, so that the quantity of output produced in exchange for money decreases. The trade-off between the welfare-enhancing effect on wealth distribution and the distortionary effect on output implies the socially optimal discount rate and liquidity.     

Inflation and output dynamics with state-dependent pricing decisions

This paper studies a state-dependent pricing model in which firms face a fixed cost of changing their pricing plans. A pricing plan specifies an entire sequence of time-varying future prices. Allowing firms to choose a pricing plan rather than a single price generates inflation inertia in the response of the economy to small changes in the growth rate of money. Allowing firms to choose when to change their pricing plan generates a non-linear response of inflation and output to small and large changes in the money growth rate. The non-linear solution method also reveals that the model generates an asymmetric response of output and inflation to monetary expansions and contractions.     

Self-fulfilling expectations and the inflation of the 1970s: Evidence from the Livingston Survey

Using survey data on expectations, we examine whether the response of monetary policy to sudden movements in expected inflation contributed to the persistent high inflation of the 1970s. The evidence suggests that, prior to 1979, the Fed accommodated temporary shocks to expected inflation, which then led to persistent increases in actual inflation. We do not find this behavior in the post-1979 data. Among commonly cited factors, oil and fiscal shocks do not appear to have triggered an increase in expected inflation that eventually resulted in higher actual inflation.     

Money and economic activity revisited

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.     

Monetary policy and the twin crises

After presenting a brief overview of the recent financial crisis and the European debt crisis that followed in its wake, this paper goes on discuss monetary policy in the United States, the United Kingdom and the Euro bloc prior to and during the course of the two crises. The paper presents historical evidence for the three areas on the relationships linking the volatilities of output, inflation and monetary growth. In all three these relations are strongly positive. There is, therefore, no tradeoff between inflation and output volatility; the two move up and down together. Both, moreover, move up and down with the volatility of monetary growth. Viewed from this perspective, the increased volatilities of money supplies and the monetary base in the United States, the United Kingdom and the Euro bloc over the last half decade pose problems.