The New Keynesian Phillips Curve and Inflation Expectations: Re-Specification and Interpretation

A theoretical analysis of the new Keynesian Phillips curve (NKPC) is provided, formulating the conditions under which the NKPC coincides with a real-world relation that is not spurious or misspecified. A time-varying-coefficient (TVC) model, involving only observed variables, is shown to exactly represent the underlying “true” NKPC under certain conditions. In contrast, “hybrid” NKPC models, which add lagged-inflation and supply-shock variables, are shown to be spurious and misspecified. We also show how to empirically implement the NKPC under the assumption that expectations are formed rationally.Time-varying-coefficient model; Inflation-unemployment trade-off; “Objective” probability; Spurious correlation; Rational expectation; Coefficient driver

A Note on 1-Edge Balance Index Set

A graph labeling is an assignment of integers to the vertices or edges or both, subject to certain conditions. Varieties of graph labeling have been investigated by many authors [2], [3] [5] and they serve as useful models for broad range of applications

The Nonexistence of Instrumental Variables

The method of instrumental variables (IV) and the generalized method of moments (GMM) and their applications to the estimation of errors-in-variables and simultaneous equations models in econometrics require data on a sufficient number of instrumental variables which are (insert space)both exogeneous and relevant. We argue that in general such instruments (weak or strong) cannot exist.

The New Keynesian Phillips Curve and Lagged Inflation: A Case of Spurious Correlation?

The New Keynesian Phillips Curve (NKPC) specifies a relationship between inflation and a forcing variable and the current period’s expectation of future inflation. Most empirical estimates of the NKPC, typically based on Generalized Method of Moments (GMM) estimation, have found a significant role for lagged inflation, producing a “hybrid” NKPC. Using U.S. quarterly data, this paper examines whether the role of lagged inflation in the NKPC might be due to the spurious outcome of specification biases. Like previous investigators, we employ GMM estimation and, like those investigators, we find a significant effect for lagged inflation. We also use time varying coefficient (TVC) estimation, a procedure that allows us to directly confront specification biases and spurious relationships. Using three separate measures of expected inflation, we find strong support for the view that, under TVC estimation, the coefficient on expected inflation is near unity and that the role of lagged inflation in the NKPC is spurious.New Keynesian Phillips curve; time-varying coefficients; spurious relationships.

Assessing the Casual Relationship between Euro-Area Money and Price in Time-Varying Environment

The paper provides new evidence on the causal relationship between money and price for the euro area using quarterly data for the period 1980 to 2006, employing two alternative methods of estimation: the vector error correction (VEC) and time-varying coefficient (TVC) estimation techniques. The latter technique has the advantage over the former technique in that it can deal with possible specification biases and spurious relationships that may have arisen from structural changes. The empirical results from the VEC method reveal a bidirectional causal relationship between money and price. Contrary, the results from the TVC technique suggest that money is acting as an exogenous process determining the price level.Causality; VEC, Time Varying Coefficient Estimation; Euro Area

A Portofolio Balance Approach to Euro-Area Money Demand in a Time-Varying Environment

As part of its monetary policy strategy, the European Central Bank has formulated a reference value for M3 growth. A pre-requisite for the use of a reference value for M3 growth is the existence of a stable demand function for that aggregate. However, a large empirical literature has emerged showing that, beginning in 2001, essentially all euro area M3 demand functions have exhibited instability. This paper considers euroarea money demand in the context of the portfolio-balance framework. Our basic premise is that there is a stable demand-for-money function but that the models that have been used until now to estimate euro area money-demand are not well-specified because they do not include a measure of wealth. Using two empirical methodologies - - a co-integrated vector equilibrium correction (VEC) approach and a time-varying coefficient (TVC) approach - - we find that a demand-for-money function that includes wealth is stable. The upshot of our findings is that M3 behaviour continues to provide useful information about medium-term developments on inflation.Money demand; VEC, time varying coefficient estimation; Euro area

Bretton-Woods Systems, Old and New, and the Rotation of Exchange-Rates Regimes

A recent contribution to the literature argues that the present international monetary system in many ways operates like the Bretton-Woods system. Asia is the new periphery of the system and pursues an export-led development strategy. The members of the new periphery peg their currencies to the U.S. dollar at undervalued exchange rates and accumulate foreign reserves. In contrast, the old periphery - - consisting of Western Europe, Canada and parts of Latin America - - interacts with the centre with flexible exchange rates; its aggregate current account has been roughly in balance. As under the older system, the United States remains the centre country, pursuing a monetary-policy strategy that overlooks the exchange rate. An implication of this argument is the following asymmetry hypothesis: under both regimes the United States does not take external factors into account in conducting monetary policy while the periphery does take external factors into account. We provide results of a test of the asymmetry hypothesis. Then, we present a new method for decomposition of the business cycle using a time-varying-coefficient technique that allows us to test the relationship between the cycle and macroeconomic policies. We apply this technique to five countries for three sub-periods over the 1959 to 2007 period.Revived Bretton-Woods System; Asymmetry Hypothesis; Time-Series Decomposition; Time-Varying-Coefficient Estimation

Some Further Evidence on Exchange-Rate Volatility and Exports

The relationship between exchange-rate volatility and aggregate export volumes for 12 industrial economies is examined using a model that includes real export earnings of oil-producing economies as a determinant of industrial-country export volumes. A supposition underlying the model is that, given their levels of economic development, oil-exporters’ income elasticities of demand for industrial-country exports might differ from those of industrial countries. Five estimation techniques, including a generalized method of moments (GMM) and random coefficient (RC) estimation, are employed on panel data covering the estimation period 1977:1-2003:4 using three measures of volatility. In contrast to recent studies employing panel data, we do not find a single instance in which volatility has a negative and significant impact on trade.Exchange-rate volatility; Trade; Random-coefficient estimation; Generalized method of moments; Panel

The New Keynesian Phillips Curve and Lagged Inflation: A Case of Spurious Correlation?

The New Keynesian Phillips Curve (NKPC) specifies a relationship between inflation and a forcing variable and the current period’s expectation of future inflation. Most empirical estimates of the NKPC, typically based on Generalized Method of Moments (GMM) estimation, have found a significant role for lagged inflation, producing a “hybrid” NKPC. Using U.S. quarterly data, this paper examines whether the role of lagged inflation in the NKPC might be due to the spurious outcome of specification biases. Like previous investigators, we employ GMM estimation and, like those investigators, we find a significant effect for lagged inflation. We also use time varying-coefficient (TVC) estimation, a procedure that allows us to directly confront specification biases and spurious relationships. Using three separate measures of expected inflation, we find strong support for the view that, under TVC estimation, the coefficient on expected inflation is near unity and that the role of lagged inflation in the NKPC is spurious.New Keynesian Phillips Curve; time-varying coefficients; spurious relationships

A Portfolio Balance Approach to Euro-Area Money Demand in a Time-Varying Environment

As part of its monetary policy strategy, the European Central Bank has formulated a reference value for M3 growth. A pre-requisite for the use of a reference value for M3 growth is the existence of a stable demand function for that aggregate. However, a large empirical literature has emerged showing that, beginning in 2001, essentially all euro area M3 demand functions have exhibited instability. This paper argues that a proper understanding of the determination of money requires a portfolio analysis where the demand for broad money is seen as just one element in the wealth portfolio. Under this framework, wealth is the variable that constitutes the total budget constraint on the holdings of assets, including money, and changes in equity prices are a key transmission channel of monetary policy. Understanding money behaviour thus requires good data on euro area wealth which at present do not exist. Our basic premise is that there is a stable demand-for-money function but that the models that have been used until now to estimate euro area money-demand are not well-specified because they do not include a measure of wealth. Using two empirical methodologies - - a co-integrated vector equilibrium correction (VEC) approach and a time-varying coefficient (TVC) approach - - we find that a demand-for-money function that includes wealth is stable. The upshot of our findings is that M3 behaviour continues to provide useful information about medium-term developments on inflation.Money demand; VEC, time varying coefficient estimation; Euro area