Modeling Cyclical Asymmetries in European Imports

This paper applies smooth transition models to capture the nonlinear behavior in the imports data of six major European economies and to assess whether such nonlinearities are related to business cycle asymmetries. Two classes of switch between regimes are considered: endogenously determined transition that assumes nonlinearities are generated by idiosyncratic components specific to foreign trade, and exogenous transition based on GDP growth as a more direct indicator of the cyclical state of the economy. The results support the proposition that the dynamics of imports are nonlinear. In Belgium, France, Spain, and the United Kingdom, regimes change over the business cycle, while in Germany and Italy the switch between regimes is endogenous. National characteristics play a role in defining the position of extreme regimes, the smoothness of the transition, and local dynamics within each state.Previous versions of this article have been presented at the 57th International Atlantic Economic Conference (Lisbon, Portugal, March 10–14, 2004) and at the VII Encuentro de Economía Aplicada (Vigo, Spain, June 3–5, 2004). The authors thank the conference participants and an anonymous referee for their comments.     

Modeling the European cycle with factor structure and regime switching

This paper compares the stylized facts of the European growth cycle stemming from the Gross Domestic Product (GDP) of the European Monetary Union with an unobserved common factor derived from a dynamic factor model with regime switching. The aim of this paper is to provide empirical evidence about the most adequate indicator for short-term monitoring of the cyclical state of the European economy. Previous versions of this article have been presented at the 55th International Atlantic Economic Conference (Vienna, Austria, March 12–16, 2003) and at the VI Encuentro de Economía Aplicada (Granada, Spain, June 5–7, 2003). The author would like to thank the conference participants and an anonymous referee for their comments and suggestions.     

A non-Walrasian model of the business cycle

This paper shows how the dynamic evolution of a short-run non-Walrasian equilibrium can generate cycles. The cyclic behavior of the system results from the combination of an unstable accelerator and of stabilizing price effects. The novelties of the model presented in this paper with respect to previous contributions in non-linear cycle theory are the use of a non-Walrasian equilibrium structure in the short run, and the fact that a cycle is obtained without having to assume any ad hoc shape for the various functions involved. Moreover the model bridges the gap between cycle theory and the traditional short-run IS-LM analysis.     

Income Taxation Rules and Stability of a Small Open Economy

This paper examines the stability of a small open economy under alternative income taxation rules. Using a one-sector real business cycle model with external increasing returns, we show that if the income tax schedule is linear, the small open economy will not generate equilibrium indeterminacy, but it exhibits a diverging behavior under certain conditions. In this case, an appropriate choice of nonlinear tax on the factor income may recover the saddle-point stability. We also reveal that if the taxation on the interest income on financial assets is regressive, then the small open economy may exhibit equilibrium indeterminacy. In this situation, a progressive tax rule on the interest income can contribute to eliminating sunspot-driven fluctuations.     

On the measurement and analysis of aggregate economic activity for China: the coincident economic indicators approach

This paper reviews some of China's high-frequency economic indicators and our principal findings on their selection and use. Our aim is to develop a composite index of coincident economic indicators (coincident economic index, CEI) which can be used to obtain timely information on the present state of the China's economy and provide an appropriate measure to analyze China's short-term macroeconomic dynamics. Notably, combining industrial production, retail sales, manufacturing employment, income of financial institutions and passenger traffic volume, they work well as the method for dating business cycles for China. It shows that, over the past two decades, there was one marked recession which occurred in 1988:8 to 1989:12. In addition to this business cycle chronology we also develop a growth cycle chronology based on the deviations from trend of the CE which shows that there have been four cyclical slowdowns since 1986. Whereas GDP growth lacks cyclical movements and appears to be dominated by trend and irregular movements, in contrast to GDP, the CEI works well as a measure of cyclical dynamics and can contribute to the analysis of short-term fluctuations of Chinese economic activity relative to its long-term growth.     

Stability through cycles

Economic variables like GDP growth, employment, interest rates and consumption show signs of cyclical behavior. Many variables display multiple cycles, with periods ranging in between 5 to even up to 100 years. We argue that multiple cycles can be associated with long-run stability of the economic system, provided that the cycle periods are such that interference is rare or absent. For a large sample of important variables, including key variables for the US, UK and the Netherlands, we document that this is indeed the case.     

Equilibrium business cycles with idle resources and variable capacity utilization

Summary A real business cycle economy is studied in which some capital is idle each period and the fraction of capital left idle varies in response to technology shocks. Previous equilibrium business cycle models have the characteristic that the entire stock of capital is used for production in each period. Our objective is to determine whether incorporating idle resources, something regularly observed in actual economies, significantly affects the cyclical properties of the model and hence changes our views about the importance of technology shocks for aggregate fluctuations. In our analysis we do not assume an aggregate production function, but instead model production as taking place at individual plants that are subject to idiosyncratic technology shocks. Each period the plant manager must choose whether to operate the plant or to let the plant remain idle. We find that the cyclical properties of this model are surprisingly similar to those of a standard real business cycle economy. One difference is that the model displays variation in factor shares while the standard models does not.The authors acknowledge support from the National Science Foundation.     

ESTIMATES OF THE AGGREGATE QUARTERLY CAPITAL STOCK FOR THE POST-WAR U.S. ECONOMY

We construct quarterly aggregate gross and net capital stock series for the post-war U.S. economy using annual capital stock, capital depreciation, and capital discard figures along with quarterly investment series. We construct nominal and real measures of all three categories in the aggregate capital stock: consumer durable goods, producer durable goods, and business structures. In constructing the nominal series we take into account the changes in capital goods' prices. The series are constructed using four different methods. Using time- and frequency-domain techniques, we compare the constructed series and characterize their short-run, business cycle, and long-run cyclical properties. We find that the constructed series exhibit very different cyclical and shock persistence dynamics. Practial implications are discussed.     

Endogenous Money Supply and the Business Cycle

This paper documents changes in the cyclical behavior of nominal data series that appear after 1979:Q3 when the Federal Reserve implemented a policy to lower the inflation rate. Such changes were not apparent in real variables. A business cycle model with impulses to technology and a role for money is used to show how alternative money supply rules are expected to affect observed business cycle facts. In this model, changes in the money supply rules have almost no effect on the cyclical behavior of real variables, yet have a significant impact on the cyclical nature of nominal variables.Journal of Economic LiteratureClassification Numbers: E32, E42, E50.     

Asymmetric behavior of Australia's Big-4 banks in the mortgage market

This paper presents an alternative framework for modeling the behavior of banks in setting lending and/or saving rates. In a short-run dynamic model, we correct for deviations from the long-run path using three feedback coefficients capturing different disequilibria. This enables us to test for both amount and adjustment asymmetries by considering the size and direction of any deviations. We use this model to examine the relationship between the official cash rate (set by the Reserve Bank of Australia as a monetary policy tool) and the standard variable mortgage rates of Australian Big-4 banks using weekly data from 2001 to 2012. The evidence indicates both types of asymmetries along with synchronized rate-setting behavior. Overall, the banks immediately pass on 120% of any rate rise, but only 85% of any rate cut. Further, when mortgage rates are substantially above the equilibrium path, we find no significant attempt to lower rates, but faster adjustment when rates are below equilibrium values. This finding has important implications for the RBA's monetary policy transmission mechanism and the effectiveness of the expansionary versus contractionary policy.     

Real interest rates: nonlinearity and structural breaks

Real interest rate is a crucial variable that determines the consumption, investment and saving behavior of individuals and thereby acts as a key policy tool that the central banks use to control the economy. Although many important theoretical models require the real interest rates to be stationary, the empirical evidence accumulated so far has not been able to provide conclusive evidence on the mean reverting dynamics of this variable. To resolve this puzzle we re-investigate the stochastic nature of the real interest rates by developing unit root tests for nonlinear heterogeneous panels where the alternative hypothesis allows for a smooth transition between deterministic linear trends around which stationary asymmetric adjustment may occur. When the newly developed panel unit root tests are applied to the real interest rates of the 17 OECD countries, we were able to uncover overwhelming empirical support in favor of mean reversion in the short-run and long-run real interest rates. Therefore, these results show that the conclusions drawn from a miss-specified test that ignores the presence of either nonlinearity, structural breaks or cross sectional dependence can give quite misleading results about the stochastic behavior of the real interest rates.     

Is there an export or import-led productivity growth in rapidly developing Asian countries? a multivariate VAR analysis

In contrast to cross-country studies, the paper investigates the relationships between trade and labour productivity for nine rapidly developing Asian countries in a time-series framework using a vector error-correction model. Independent tests on the long-run and short-run relationship between trade variables of exports and imports and productivity are conducted. The results suggest that trade has an important impact on productivity and output growth in the economy, however it is imports that provide the important?‘virtuous’?link between trade and output growth. The results indicate that exports and imports have qualitatively different impacts on labour productivity. The long-run result shows that there is no causal effect from exports to labour productivity growth for Hong Kong, Indonesia, Japan, Taiwan and Thailand; thereby suggesting that there is no export-led productivity growth in these countries. However, significant causal effects were found from imports to productivity growth, suggesting import-led productivity growth in India, Indonesia, Malaysia, Philippines, Singapore and Taiwan. In addition, the results indicate that imports tend to have greater positive impact on productivity growth in the long run.     

Generalized long memory and mean reversion of the real exchange rate

Definitive evidence regarding a rapid mean reversion of the real exchange rate is not present when using standard linear methodology, including unit root tests and fractional integration. To consider the robustness of these results, we use an encompassing model, the Gegenbauer AutoRegressive Moving Average (GARMA) model, which nests as special cases the existing linear methods. The GARMA model accommodates a complete notion of persistence and allows shocks to dissipate slowly in a cyclical manner. We find evidence supporting a weak version of purchasing power parity, where equilibrium errors are long memory with strongly persistent cycles. However, this new form of cyclical mean reversion is likely too slow to be economically meaningful. The inability to find a strong equilibrium attractor process, using a very general encompassing linear methodology provides support for the recent models that allow for a nonlinear attraction process and for shifting real exchange rate equilibria.     

Endogenous Cycles and Growth with Indivisible Technological Developments

When large, discrete technological improvements require the accumulation of research or infrastructural investment over time, growth paths display cyclical patterns even in the absence of any shocks. Particularly interesting equilibrium features of these cycles include declines in output and asymmetries in the cyclic patterns displayed during expansions and recessions.Journal of Economic LiteratureClassification Numbers: E22, E32, O41.     

The Cyclical Behavior of Skill Acquisition

We use a business cycle model to analyze the general equilibrium implications of a representative agent's decision to devote time to skill acquisition activities, which are modeled as boosting subsequent labor productivity by increasing the stock of human capital. We use aggregate data on consumption, investment, and labor hours to estimate the parameters of the model, and then use the estimated model and the observed data to infer the aggregate behavior of skill acquisition activities. We find that these activities have important cyclical implications and are distinctly countercyclical; they also exhibit a systematic correspondence with college enrollment data. Journal of Economic Literature Classification Numbers: E32, J22, J24.     

Central bank intervention,the current account,and exchange rates

This paper seeks to explain exchange rate and current account or net foreign assets behavior under central bank foreign exchange rate intervention. To analyze central bank intervention we use the current account-net foreign assets identity, as well as the long-run monetary exchange rate model. The intervention function is one where exchange rate deviations from equilibrium are governed by nonlinear adjustments. That is, exchange rate deviations from their long-run equilibrium are such that the degree of reversion towards equilibrium increases with the size of the deviation from equilibrium. In this type of nonlinear function exchange rates determine the current account, and the current account in turn determines exchange rates. This iterative duality contrasts with several portfolio balance models where exchange rates are a function of trade, but trade is not a function of exchange rates. This two way causality is slightly more complex, but is also analytically richer than assuming that exchange rates change solely in a one step process as targeted by central banks. Managing exchange rates is posited to be an active iterative feedback process where intervention changes the current account, which may in turn make further intervention necessary.     

Financial development and economic growth in South Korea: an application of smooth transition error correction analysis

This article investigates the influences of financial development on economic growth for South Korea. The analysis is performed using an error correction model and a nonlinear smooth transition error correction technique. Empirical results from the cointegration test reveal that there is a long-run equilibrium relationship among financial development and economic growth. We also demonstrate that the nonlinear specification is more appropriate than the linear model and confirm the presence of nonlinearity in the aggregate output. Furthermore, we find that the short-run effect of financial development on economic growth is unstable despite the positive long-term effect.     

Learning with bounded memory in games

We study learning with bounded memory in zero-sum repeated games with one-sided incomplete information. The uninformed player has only a fixed number of memory states available. His strategy is to choose a transition rule from state to state, and an action rule, which is a map from each memory state to the set of actions. We show that the equilibrium transition rule involves randomization only in the intermediate memory states. Such randomization, or less frequent updating, is interpreted as a way of testing the opponent, which generates inertia in the player's behavior and is the main short-run bias in information processing exhibited by the bounded memory player.     

Devaluation,Capital Mobility,and Long-Run Equilibrium*

The paper considers a small, fully employed economy with non-tradeables, securities, and money. The paper first analyzes the effects of devaluation and financial controls in the short-run equilibrium on the trade balance, the capital account, and the overall balance of payments. Disequilibria in the capital account and the overall balance of payments cause changes in the stock of securities and money, shifting the short-run equilibrium. The paper investigates the condition for the- uniqueness and stability of the long-run equilibrium under this adjustment process (‘specie flow mechanism’). Finally, the long-run equilibrium effects of devaluation and monetary policies are examined.