Quasi‐fixed inputs and long‐run equilibrium in production: a cointegration analysis

This paper proposes a cointegration approach to testing the validity long‐run equilibrium in production, where capital and labour are taken as quasi‐fixed inputs. Previous studies consider only capital as the quasi‐fixed input and do not take account of the time series properties of the variables, assuming implicitly that they are stationary. The canonical cointegrating regressions (CCR) procedure is employed to test for cointegration in both the single‐equation and the seemingly unrelated regressions framework, and long‐run equilibrium conditions are tested. The evidence from US manufacturing reveals that capital and labour are not fully adjusted to their long‐run optimal values, casting doubt on the long‐run equilibrium hypothesis. Copyright © 2001 John Wiley & Sons, Ltd.     

A nonparametric measure of convergence towards purchasing power parity

It has been claimed that the deviations from purchasing power parity are highly persistent and have quite long half‐lives under the assumption of a linear adjustment of real exchange rates. However, inspired by trade cost models, nonlinear adjustment has been widely employed in recent empirical studies. This paper proposes a simple nonparametric procedure for evaluating the speed of adjustment in the presence of nonlinearity, using the largest Lyapunov exponent of the time series. The empirical result suggests that the speed of convergence to a long‐run price level is indeed faster than what was found in previous studies with linear restrictions. Copyright © 2006 John Wiley & Sons, Ltd.     

ECONOMETRIC MODELS OF ASYMMETRIC PRICE TRANSMISSION

Abstract In this paper, we review the existing empirical literature on price asymmetries in commodities, providing a way to classify and compare different studies that are highly heterogeneous in terms of econometric models, type of asymmetries and empirical findings. Relative to the previous literature, this paper is novel in several respects. First, it presents a detailed and updated survey of the existing empirical contributions on price asymmetries in the transmission mechanism linking input prices to output prices. Second, this paper presents an extension of the traditional distinction between long‐run and short‐run asymmetries to new categories of asymmetries, such as: contemporaneous impact, distributed lag effect, cumulated impact, reaction time, equilibrium and momentum equilibrium adjustment path, regime effect, regime equilibrium adjustment path. Each empirical study is then critically discussed in the light of this new classification of asymmetries. Third, this paper evaluates the relative merits of the most popular econometric models for price asymmetries, namely autoregressive distributed lags, partial adjustments, error correction models, regime switching and vector autoregressive models. Finally, we use the meta‐regression analysis to investigate whether the results of asymmetry tests are not model‐invariant and find which additional factors systematically influence the rejection of the null hypothesis of symmetric price adjustment. The main results of our survey can be summarized as follows: (i) each econometric model is specialized to capture a subset of asymmetries; (ii) each asymmetry is better investigated by a subset of econometric models; (iii) the general significance of the F test for asymmetric price transmission depends mainly on characteristics of the data, dynamic specification of the econometric model, and market characteristics. Overall, our empirical findings confirm that asymmetry, in all its forms, is very likely to occur in a wide range of markets and econometric models.     

我国物价水平的非线性调整分析

在前人对我国物价水平与货币量、产出间的协整关系研究的基础上,本文重新审视了线性调整模型中不变调整速度的假设,并利用非线性调整模型进一步研究了它们之间短期偏离向长期均衡调整的速度问题。否定了不变调整速度的假定,肯定了短期偏离的非线性调整性,并解释了我国货币政策对物价水平影响差异的原因。     

Long‐run monetary neutrality and long‐horizon regressions

A prominent test of long‐run monetary neutrality (LRMN) involves regressing long‐horizon output growth on long‐horizon money growth. We obtain limited support for LRMN with this test in long‐annual Australian, Canadian, UK and US samples. Although empirical confidence intervals yield evidence in favour of LRMN, Monte Carlo experiments reveal the power of this test is near its size. Thus, this test is unlikely to detect important deviations from LRMN. These problems arise because the long‐horizon regression test of LRMN relies on estimates of the covariance of long‐horizon output growth and long‐horizon money growth. Copyright © 2004 John Wiley & Sons, Ltd.     

Inflation,output and stock prices: evidence from Latin America

Research in economics and finance documents a puzzling negative relationship between stock returns and inflation rate in markets of industrialized economies. The present study investigates this relationship for the developing markets of Peru and Chile. Fama's model of linkages between inflation and real economic activity constitutes the theoretical framework of this paper. The study tests whether the negative relationship between equity returns and inflation is a result of a ‘proxy effect’, namely, a negative relationship between inflation and real economic activity. The evidence for Peru and Chile does not provide strong support for Fama's hypothesis. It is shown that the negative relationship between the real stock returns and unexpected inflation persists after purging inflation of the effects of the real economic activity. The long‐run equilibrium between stock prices and general price levels is weak, as indicated by the findings of the Johansen and Juselius co‐integration tests. However, in both economies, stock prices and general price levels seem to show a strong long‐run equilibrium with the real economic activity. These findings suggest that in the long‐run, Fama's propositions A and B are supported for Peru and Chile. The disparity between traditional regression and co‐integration test results suggest that it may be prudent to re‐examine the proxy effect in the framework of a long‐run relationship before denying its validity. Copyright © 1999 John Wiley & Sons, Ltd.     

The stochastic implications of rent maximization: an application to stumpage rates for timber in British Columbia

We construct a model of rent‐maximizing behaviour by a single seller of timber in the absence of a formal market, deriving the stochastic implications of rent maximization for timber prices (stumpage rates) when other input and output (lumber) prices are random. Subsequently, we examine the model's ability to describe monthly, time‐series, stumpage‐rate data from British Columbia, Canada between January 1979 and October 1999. Deviations of stumpage rates from their long‐run trend are also structured by an error‐correction model which suggests that between 13 and 20% of period‐to‐period changes in stumpage rates can be explained by an equilibrium adjustment term. Copyright © 2004 John Wiley & Sons, Ltd.     

Multiple Testing for No Cointegration under Nonstationary Volatility

With cointegration tests often being oversized under time‐varying error variance, it is possible, if not likely, to confuse error variance non‐stationarity with cointegration. This paper takes an instrumental variable (IV) approach to establish individual‐unit test statistics for no cointegration that are robust to variance non‐stationarity. The sign of a fitted departure from long‐run equilibrium is used as an instrument when estimating an error‐correction model. The resulting IV‐based test is shown to follow a chi‐square limiting null distribution irrespective of the variance pattern of the data‐generating process. In spite of this, the test proposed here has, unlike previous work relying on instrumental variables, competitive local power against sequences of local alternatives in 1/T‐neighbourhoods of the null. The standard limiting null distribution motivates, using the single‐unit tests in a multiple testing approach for cointegration in multi‐country data sets by combining P‐values from individual units. Simulations suggest good performance of the single‐unit and multiple testing procedures under various plausible designs of cross‐sectional correlation and cross‐unit cointegration in the data. An application to the equilibrium relationship between short‐ and long‐term interest rates illustrates the dramatic differences between results of robust and non‐robust tests.     

Long and Short Run Determinants of Small and Medium Size Enterprise Share: The Case of Venezuelan Manufacturing

Two recent studies of SME share determination have employed a partial adjustment model which specifies disequilibrium as the sole means of explanation. Contemporaneous information is found to be crucial in both analyses and suggests forward looking behaviour in the equilibrium specification. Time series data available for Venezuela allows the testing of such an equilibrium using the Engle and Granger (1987) error correction methodology. We find that current dated variables are important in the short rather than long run determination of SME shares and that only information known at the time the equilibrium is formed enters the long run component. The primary factors explaining equilibrium share are barriers to entry, factor mix, enterprise modernisation and a new exogenous proxy variable, GDP. The main determinants of short run movements are factor mix and enterprise modernisation. This revised version was published online in July 2006 with corrections to the Cover Date.     

The Likelihood Ratio Test for the Rank of a Cointegration Submatrix*

This paper proposes a likelihood ratio test for rank deficiency of a submatrix of the cointegrating matrix. Special cases of the test include the one of invalid normalization in systems of cointegrating equations, the feasibility of permanent–transitory decompositions and of subhypotheses related to neutrality and long‐run Granger noncausality. The proposed test has a chi‐squared limit distribution and indicates the validity of the normalization with probability one in the limit, for valid normalizations. The asymptotic properties of several derived estimators of the rank are also discussed. It is found that a testing procedure that starts from the hypothesis of minimal rank is preferable.     

Long‐term rates: lower for longer

With the Federal Reserve and other central banks likely to start raising interest rates from next year, the focus is now on how high interest rates might ultimately go. Long‐term analysis of the path of interest rates in the world's main economies suggests that interest rates tend over time to gravitate towards a level reflecting long‐run growth and inflation. But there is scope for real interest rates to depart substantially from growth for lengthy periods of time. Based on our long‐run forecasts for growth and inflation we take the view that long‐term interest rates are likely to settle in at levels a bit lower than their recent historic averages. Structural changes in the world economy and vulnerabilities in the advanced economies are also likely to slow the process by which long‐term rates rise from current levels to their steady state positions. OE forecasts for long‐term rates in the major economies are generally lower at the 1‐year and long‐term horizons than consensus.     

International real interest rate equalization. A multivariate time-series approach

This paper investigates the dynamic behaviour of monthly ex post real interest rates from several countries over the period 1980 to 1991. It is found that real interest rates are stationary over this period and that deviations from real interest parity are significant in the short run but disappear in the long run. The latter evidence is established using the concept of co-dependent time series proposed by Gourieroux and Peaucelle (1989) for the analysis of multivariate stationary time series.     

Is there an equilibrating relationship between house prices and replacement cost? Empirical evidence from Berlin

It is a feature of competitive markets with forward-looking participants that a good’s benefit and its production cost are equalized in equilibrium and that no resources are wasted during the adjustment process. For housing markets, there is mixed evidence whether they meet this standard of allocative efficiency. Based on a unique data set with rich information on prices and cost, we examine the market for single-family houses in Germany’s capital Berlin. At the aggregate market level, we find that prices and cost tend to equalize in the long run. Short-run adjustment appears to be sufficiently fast and properly anticipated to prevent systematic excess profit opportunities. At the cross sectional level of individual houses, we find support that resources are allocated efficiently between different market segments. Taken together, our results provide sufficient evidence that the market in Berlin is efficient.     

Optimal dynamic pricing for sports games with habitual attendance

This paper provides a theoretical analysis of the optimal pricing decisions of a sports team that maximizes lifetime profits in sports markets where game attendance is habit‐forming for sports fans. The long‐run equilibrium price and attendance level are found to be greater than the counterparts of the static framework, respectively. The infinite horizon model shows that the pricing strategy of the firm brings about an upward‐crossing of two different dynamic price paths where the price path with stronger habit formation initially stays below, catches up, and ultimately rises above the price path with weaker habit formation. It is worth noting that the upward‐crossing phenomenon is not fully understood in a finite‐period model. Copyright © 2008 John Wiley & Sons, Ltd.     

Macroeconomic determinants of international housing markets

This paper examines the long-term impact and short-term dynamics of macroeconomic variables on international housing prices. Since adequate housing market data are generally not available and usually of low frequency we apply a panel cointegration analysis consisting of 15 countries over a period of 30 years. Pooling the observations allows us to overcome the data restrictions which researchers face when testing long-term relationships among single real estate time series. This study does not only confirm results from previous studies, but also allows for a comparison of single country estimations in an integrated equilibrium framework. The empirical results indicate house prices to increase in the long-run by 0.6% in response to a 1% increase in economic activity while construction costs and the long-term interest rate show average long-term effects of approximately 0.6% and ?0.3%, respectively. Contrary to current literature our estimates suggest only about 16% adjustment per year. Thus the time to full recovery may be much slower than previously stated, so that deviations from the long-term equilibrium result in a dynamic adjustment process that may take up to 14 years.     

A Wald test for the cointegration rank in nonstationary fractional systems

This paper develops new methods for determining the cointegration rank in a nonstationary fractionally integrated system, extending univariate optimal methods for testing the degree of integration. We propose a simple Wald test based on the singular value decomposition of the unrestricted estimate of the long run multiplier matrix. When the “strength” of the cointegrating relationship is less than 1/2, the test statistic has a standard asymptotic distribution, like Lagrange Multiplier tests exploiting local properties. We consider the behavior of our test under estimation of short run parameters and local alternatives. We compare our procedure with other cointegration tests based on different principles and find that the new method has better properties in a range of situations by using information on the alternative obtained through a preliminary estimate of the cointegration strength.     

International dynamic risk sharing

In this paper we examine the implications of international risk sharing among a set of countries in the presence of market frictions which complicate the instantaneous adjustment to the first‐order conditions. We suggest approximating the consumption streams of countries belonging to the risk sharing coalition in terms of a disequilibrium dynamic model embodying forward‐looking adjustment. Econometric methods for estimating and testing the model are discussed. Empirical analysis of a set of core European countries suggests that once preference parameters are allowed to vary across countries, we are able to identify a group of nations that share risks against idiosyncratic permanent income shocks. The equilibrium position, however, is reached after a long adjustment period. Copyright © 2008 John Wiley & Sons, Ltd.     

Threshold Effects in Cointegrating Relationships*

In this paper, we introduce threshold‐type nonlinearities within a single‐equation cointegrating regression model and propose a testing procedure for testing the null hypothesis of linear cointegration vs. cointegration with threshold effects. Our framework allows the modelling of long‐run equilibrium relationships that may change according to the magnitude of a threshold variable assumed to be stationary and ergodic, and thus constitutes an attempt to deal econometrically with the potential presence of multiple equilibria. The framework is flexible enough to accommodate regressor endogeneity and serial correlation.     

Electricity consumption and economic growth empirical evidence from Pakistan

The present article uses the Autoregressive Distributed Lag (ARDL) bounds testing procedure to identify the long run equilibrium relationship between electricity consumption and economic growth. Toda Yamamoto and Wald-test causality tests have identified the direction of the causal relationship between these two variables in the case of Pakistan in the period between 1971 and 2008. Ng-Perron and Clement-Montanes-Reyes unit root tests are used to handle the problem of integrating orders for variables. The results suggest that the two variables are in a long run equilibrium relationship and economic growth leads to electricity consumption and not vice versa.     

Response Surface Regressions for Critical Value Bounds and Approximate p‐values in Equilibrium Correction Models1

We consider the popular ‘bounds test’ for the existence of a level relationship in conditional equilibrium correction models. By estimating response surface models based on about 95 billion simulated F‐statistics and 57 billion t‐statistics, we improve upon and substantially extend the set of available critical values, covering the full range of possible sample sizes and lag orders, and allowing for any number of long‐run forcing variables. By computing approximate P‐values, we find that the bounds test can be easily oversized by more than 5 percentage points in small samples when using asymptotic critical values.