Money as a Potential Anchor for the Price Level: a Critique of the P* Approach

A number of recent articles have attempted to restore the use of a simple measure of the money supply as an indicator of future price levels and to re-establish a causal link from money to prices. Most notably Hallman, Porter and Small (HPS) (1989a), (1989b) originated the approach using US data and Hannah and James(1989) have applied it to the UK The approach broadens the traditional idea of a constant velocity of money by introducing the notion of V* and Q*, the long-run value of velocity and income. These are then used to define P from the traditional quantity theory of money as the long-run equilibrium price level. The analysis then proceeds to estimate a standard Error Correction Model (ECM) for price determination with the levels effect given by (P-P*)t-1. The conclusion drawn is that 'a measure of money that determines the long-run future level of prices is useful in determining the proper monetary policy for attaining price stability. We have shown, through the construction of P*, that M2 can serve as this determinant for the price level' (Hallman, Porter and Small (1982a) p. 23).
We argue in this paper that the P* approach is flawed. It is certainly more complex than traditional monetarist approaches but the fundamental questions of causality are in no way either affected or resolved. The P* analysis is a variant on more conventional cointegration analysis (Engle and Granger (1987), Johansen (1988), Hall (1989)) and we argue that the Johansen framework allows us to address the question in a formal and more complete way. When this approach is applied to the US data used by HPS, we find that while the P* relationship does indeed represent a cointegrating one, it does not have a causal link with prices but rather the causality runs from prices to money - this result conforms well to the work of Hendry and Ericsson (1990) or Hall, Henry and Wilcox (1990), which use this form of relationship to model the demand for money.     

The linkage between insurance activity and banking credit: Some evidence from dynamic analysis

This paper investigates the long-run and short-run linkages between insurance activity and banking credit for G-7 countries. To minimize the pretest bias and overcome the structural changes, we adopt the bootstrap Granger causality test applied to full sample and subsamples with a fixed window size. The Johansen cointegration test with GMM-IV estimator finds a long-run positive relation between the series. The full sample results of bootstrap Granger causality test show that there is predictive power from life insurance activity to banking credit only for France and Japan, while the short-run causal relationships between nonlife insurance activity and banking credit are country-specific. However, parameter stability test results suggest that the short-run results in full sample are unreliable. The results of rolling VAR models report that the causal linkages between them are time-varying across various subsamples. These findings offer some useful insights for achieving the co-evolution between insurance and banking credit markets.     

Further evidence on finance-growth causality: A panel data analysis

This paper reassesses the causal relationship between financial development and economic growth. Using recently developed panel methods on a data set of 71 developed and developing countries over the period 1960-2004, our study confirms previous results of a bidirectional causality between finance and growth. In addition, we show significant differences among country groups when considering both long-run and short-run causality. While in low and middle income countries there is no supportive evidence of short-run causality between financial development and economic growth, in high income countries economic growth significantly affects financial development.     

Explanation for market response to seasoned equity offerings

In this paper, we use a multivariate framework to extend the recent univariate seasoned equity offering (SEO) research that investigated the valuation impact of inside ownership. Our multivariate findings re-enforce and add to the univariate findings as we show that the inside ownership level is a consistent factor in accounting for short-run and long-run returns around SEOs, while the decrease in inside ownership has no impact on short-run returns but influences long-run returns in a manner inconsistent with signaling theory. Compared to prior research, our regression tests do a much better job of accounting for returns associated with SEO announcements. For short-run regression tests, the four major factors associated with superior stock returns are: lower underpricing; greater profitability prior to SEO; lower inside ownership level; and, less stock price variability prior to SEO. For long-run regression tests, the four major conditions linked to superior returns are: greater profitability prior to SEO; smaller inside ownership level; relative size of the offering; and, greater decrease in inside ownership level.     

Long-run consequences of debt

Empirical evidence suggests that both public and private debt may have long-run detrimental effects on the economy. However, theoretical works have not provided a unique explanation to the issue. In this paper, therefore, we propose a framework that is able to describe the long-run effects of different kinds of debt. We introduce a stock-flow consistent dynamic model where the economy is represented as a network of trading relationships among agents. Debt contracts are one of such relationships. The model is characterized by a unique and stable steady-state and predicts that: (i) aggregate income is always limited from the above by the money supply; (ii) debts cause in the long-run a redistribution of borrowers’ wealth and income in favor of lenders; (iii) the redistribution is magnified by the level of the interest rate and (iv) by the degree of debt persistence. In the aggregate this may also lower the average marginal propensity to spend and nominal income, providing therefore a clear-cut explanation to the empirical evidence.     

Tests on the validity of static equilibrium models

This paper provides a framework to test the validity of static cost minimizing equilibrium assumptions that form the basis for much of the empirical literature on industrial production. The point of departure in our model is to allow the observed technology to be at a short-run equilibrium where firms minimize variable costs while being constrained by the utilization levels of quasi-fixed factors. The long-run equilibrium is then inferred by minimizing total costs with the optimal adjustment of quasi-fixed factor levels.We use results from the optimization problem to form tests with respect to quantities and prices. In the quantity space version, departures between the actual and the optimal long-run levels of quasi-fixed factors are tested for statistical significance. A significant non-zero departure implies the rejection of a static equilibrium specification. In the price space version, the test is cast as a comparison of the market price and the long-run shadow value of a quasi-fixed factor. Although the two versions would give identical results in the non-stochastic case, the rejection powers of these two tests are found to depend on the particular functional form chosen to represent the production process (i.e. cost function).In an application based on aggregate U.S. manufacturing where capital is taken to be quasi-fixed, we were able to reject the static equilibrium specification. These results cast doubt on the validity of a number of previous empirical studies.     

Methods for analyzing decision-making: a framework approach

In political science an eternal question concerns how decisions and policies arise. Modern society, characterized by more uncertainty and complexity than before, increases the challenge of providing valid answers. However, the general lack of methodological concern in several previous studies in this area stresses the need for elaborations of more suitable approaches. In this article we add a methodological perspective that deals with this very question. By reviewing and analyzing earlier research on how decision-making is reached, the overall ambition of this article is to create a framework that can lay the methodological foundation for further studies. Such a framework, which takes into account both the complexity of modern multi-governance societies and adds methodological perspectives of macro and micro standpoints as well as of causal mechanisms, can be used in future research to achieve richer pictures of how decision-making is carried out. In addition, we show how a certain technique of analysis is highly compatible to this framework and that jointly these features provide solutions for a better understanding of the complexity of modern decision-making. All in all, applying this strategy can be used to better systematize complex causal chains that reflect different analytical levels and thereby increase leverage on how to understand and explain the process of political decisions.     

Fiscal policy in good and bad times

In this paper we analyze whether the effect of fiscal policy differs across the business cycle. To tackle this question, we use a regime-switching error-correction framework, where nonlinearities are only modeled in the short-run and have no impact on the long-run equilibrium. Regime specific shocks to government revenue and government purchases are identified using sign restrictions. Linear combinations of the impulse responses of these basic shocks are used to construct a deficit-spending shock and a deficit-financed tax-cut shock. We find that active spending policies have a stronger impact in recession, with multipliers exceeding unity, and should be preferred to deficit-financed tax-cuts.     

Dividend growth, stock valuation, and long-run risk

In this paper, we integrate the long-run concept of risk into the stock valuation process. We use the intertemporal consumption capital asset pricing model to demonstrate that a stock’s long-run dividend growth is negatively related to its current dividend-price ratio and positively related to its long-run covariance between dividends and consumption. Then, we show that the equilibrium price of a stock is determined by its current dividend, long-run dividend growth, and long-run risk. In all, our work suggests that risk cumulated over many periods represents an important parameter in assessing the theoretical value of a firm.     

Priors,posteriors and bayes factors for a Bayesian analysis of cointegration

Cointegration occurs when the long-run multiplier matrix of a vector autoregressive model exhibits rank reduction. Using a singular value decomposition of the unrestricted long-run multiplier matrix, we construct a parameter that reflects the presence of rank reduction. Priors and posteriors of the parameters of the cointegration model follow from conditional priors and posteriors of the unrestricted long-run multiplier matrix given that the parameter that reflects rank reduction is equal to zero. This idea leads to a complete Bayesian framework for cointegration analysis. It includes prior specification, simulation schemes for obtaining posterior distributions and determination of the cointegration rank via Bayes factors. We apply the proposed Bayesian cointegration analysis to the Danish data of Johansen and Juselius (Oxford Bull. Econom. Stat. 52 (1990) 169).     

The Effect of Market Quality on the Causality between Returns and Volatilities: Evidence from CSI 300 Index Futures

This paper investigates the impact of market quality on volatility asymmetry of CSI 300 index futures by using short- and long-run causality measures proposed by Dufour et al. (2012). We use a high-frequency-based noise variance estimator as the comprehensive proxy for market quality and find that volatility asymmetry is closely related to market quality. Specifically, in the period of poor market quality, the volatility asymmetry will vanish or even be reversed, which is mainly due to the sharp decline of the leverage effects. Moreover, the volatility feedback effect will be enhanced while the leverage effect will be weakened if the noise variance is taken into consideration in the causal analysis. Finally, we use other market quality indices as auxiliary variables in the robustness analysis and get similar results.     

Modelling the inflation process in transition economies: Empirical comparison of Poland, Hungary and Czech Republic

This paper starts from the observation that inflation in transition economies appears to be persistently high and volatile and attempts to provide some empirical characterisation of the inflation process in three such transition economies: Poland, Hungary and Czech Republic. We first consider the role of monetary growth as a major causal factor for inflation in these economies, and argue that the evidence provides rather weak support for the causal relationship. We then propose a transition economy cost-plus model and estimate this using the equilibrium-correction modelling (ECM) strategy augmented by introduction of a number of transitory factors and changes in the internal structure of the real economy which we believe may have had a significant impact on inflation in these economies. We show that this approach enables us to account for long-run inflation in these economies from the early 1980s to the present despite the turbulence of the latter part of the sample period. Our results support wage and exchange rate based inflation policies.     

Modelling short- and long-term effects in the aggregate demand for soft drinks

A dynamic regression model for non-durable commodity demand is specified based on the additive unobserved components seasonal model with causal variables. The seasonal component which includes retailer stock effects is modelled as a seasonal ARMA process with fixed temperature effects. The non-seasonal component incorporates both short-run consumer responses and long-run adaptation to steady-state growth paths. Aggregation effects on per capita demand caused by the increase of new consumers as real income grows are investigated and the resulting growth trends accounted for. It is shown that neglecting these trends in the long-run adaptation process is likely to produce biased predictions and misleading estimates of crucial response parameters.     

Nonlinear minimization estimators in the presence of cointegrating relations

In this paper, we consider estimation of a long-run and a short-run parameter jointly in the presence of nonlinearities. The theory developed establishes limit behavior of minimization estimators of the long- and short-run parameters jointly. Typically, if the long-run parameter that is present in a cointegrating relationship is estimated, its estimator will be superconsistent. Therefore, we may conjecture that the joint minimization estimation of both parameters jointly will result in the same limit distribution for the short-run parameter as if the long-run parameter was known. However, we show that unless a regularity condition holds, this intuition is false in general. This regularity condition, that clearly holds in the standard linear case, is identical to the condition for validity of a two-step Granger–Engle type procedure. Also, it is shown that if the cointegrated variables are measured in deviation from their averages, the standard asymptotic normality result (that one would obtain if the long-run parameter was known) holds.     

Survival in Cournot games

In a model that encompasses a general equilibrium framework, we consider a monopolist (a producer) with subjective beliefs that endogenously hedges against fluctuations in input prices in a complete market. We allow for entries and Cournot competition in this economy, and we study how erroneous beliefs affect long-run survival for those firms. We introduce a notion of entropy of beliefs, and we use it to characterize the class of beliefs for which the monopolist eventually disappears almost surely. When disappearance occurs, the whole market power switches to the entrant making the most accurate predictions in our sense. The class of beliefs for which survival occurs is much broader than that of perfectly competitive settings.     

Re-opening after the lockdown: Long-run aggregate and distributional consequences of COVID-19

Covid-19 has dealt a devastating blow to productivity and economic growth. We employ a general equilibrium framework with heterogeneous agents to identify the tradeoffs involved in restoring the economy to its pre-Covid-19 state. Several tradeoffs, both over time, and between key economic variables, are identified, with the feasible speed of successful re-opening being constrained by the transmission of the infection. In particular, while more rapid opening up of the economy will reduce short-run aggregate output losses, it will cause larger long-run output losses, which potentially may be quite substantial if the opening is overly rapid and the virus is not eradicated. More rapid opening of the economy mitigates the increases in both long-run wealth and income inequality, thus highlighting a direct conflict between the adverse effects on aggregate output and its distributional consequences.     

Causality in the Social Sciences: a structural modelling framework

Quality & Quantity - There is no unified theory of causality in the sciences and in philosophy. In this paper, we focus on a particular framework, called structural causal modelling (SCM), as...     

Biased Bayesian learning with an application to the risk-free rate puzzle

Based on the axiomatic framework of Choquet decision theory, we develop a closed-form model of Bayesian learning with ambiguous beliefs about the mean of a normal distribution. In contrast to rational models of Bayesian learning the resulting Choquet Bayesian estimator results in a long-run bias that reflects the agent's ambiguity attitudes. By calibrating the standard equilibrium conditions of the consumption based asset pricing model we illustrate that our approach contributes towards a resolution of the risk-free rate puzzle. For a plausible parameterization we obtain a risk-free rate in the range of 3.5–5%. This is 1–2.5% closer to the empirical risk-free rate than according calibrations of the rational expectations model.     

Purchasing power parity as a long-run relation

Dickey–Fuller and Stock–Watson tests of purchasing power parity (PPP) as a long-run proposition are provided within the cointegration framework proposed by Granger. Since different countries use different weights to construct price indices, the traditional constraint that the coefficients on the price indices should be unity in the log-linear PPP relation is relaxed. The absence of a general PPP relation cannot be rejected. At most, a PPP relation is indicated in five out of fifteen country pairs that are examined. Even if a long-run PPP relation exists, it is not found to be useful in predicting future nominal exchange rates, which is consistent with efficient speculative markets.     

The long-run implications of the production smoothing model of inventories: An empirical test

This paper provides an empirical test of the long-run implications of the production smoothing model of inventories, the dominant framework for inventory investment research in the past. Intertemporal models of a firm holding inventories of finished goods predict a long-run relationship between inventories, shipments, factor input prices, and the real interest rate which is tested here using cointegration test procedures. These tests provide little support for the predictions of the production smoothing model. In most of the data sets used, test statistics indicate that inventories, shipments, factor input prices, the nominal interest rate, and the inflation rate maintain a long-run equilibrium relationship but parameter estimates of cointegrating vectors are often implausible, typically rejecting hypotheses implied by structural models of the production smoothing motive for holding inventories.