A Kaleckian model of business cycle synchronization

Abstract

A non-linear, two-country Kaleckian model of the business cycle was developed for investigating business cycle synchronization. The model includes three components: a country-specific business cycle-generating equation, a transmission mechanism and time delays in the transmission mechanism. The model constructed is a non-linear delay-differential equation system. Solutions to the model without time delays in transmission are derived using the averaging method. The solutions show that the model produces limit cycles representing business cycles. The model with time delays in transmission is then solved numerically in order to investigate the role played by the coupling strength and coupling delay in transforming otherwise independent country-specific cycles into a synchronized business cycle. The degree of synchronization of the business cycle is shown to be positively related to the coupling strength. Moreover, coupling delays above a certain threshold play a desynchronizing role.     

The three regimes of the IS-LM model: A non-Walrasian analysis

Three different versions of the IS-LM model are generally found in the literature: A first version assumes both price and wage rigid, and excess supply on the two markets. A second version assumes a rigid wage, but a flexible price clearing the goods market. Finally, a third version assumes that both markets are cleared. We develop in this paper a synthetic model which displays the three above cases as particular regimes of the same model, by formalizing the implicit assumption of Keynesian models that the price and wage levels are rigid downwards, but flexible upwards. The resulting non-Walrasian equilibria can be of three types, which correspond to the three versions of the IS-LM model described above. In each case we show how production and employment are determined, and compute the multipliers for fiscal and monetary policy. Finally, the parameter space is partitioned into three subregions corresponding to each regime.     

A Metzlerian business cycle model with nonlinear heterogeneous expectations

Metzler's model is an important contribution to our understanding of the dynamics of business cycles. In his model, the production of consumption goods depends on expected future sales. However, Metzler assumes that producers are homogeneous and follow a simple expectation formation rule. Taking into account that in reality producers might not only follow several expectation formation rules, but might also even switch between them, we reformulate Metzler's original model. As it turns out endogenous business cycles may emerge within our model, i.e. changes in production and inventory are (quasi-)periodic for certain parameter combinations.     

A Keynesian Dynamic Stochastic Disequilibrium model for business cycle analysis

A Dynamic Stochastic Disequilibrium model is proposed for business cycle analysis. The core innovation and fundamental deviation from the corresponding full-employment Dynamic Stochastic General Equilibrium model is the assumption that the nominal wage is a policy variable with no tendency to clear the labor market. As a consequence, disequilibrium unemployment arises which crucially alters the transmission of macroeconomic shocks. Solving the puzzle of low fiscal multipliers in conventional general equilibrium models, the effects of spending shocks become considerably more pronounced in the disequilibrium model because idle labor can be quickly utilized to accommodate aggregate demand without requiring households to increase their supply. In contrast to the standard model, technology and labor supply shocks are partly absorbed by unemployment and, hence, only moderately expansionary. Despite its simplicity and unlike the corresponding general equilibrium model, the disequilibrium model is able to generate shock responses which are broadly in line with empirical evidence.     

Debt overhang in a business cycle model

We study the macroeconomic implications of the debt overhang distortion on firms׳ investment and labor decisions. We show that the distortion arises when the levels of investment and labor are non-contractible and chosen after the signing of the debt contract. The financial friction manifests itself as investment and labor wedges that move counter-cyclically, increasing during recessions when the risk of default is high. Their dynamics amplify and propagate the effects of shocks to productivity, government spending, volatility, and funding costs. Both the size and the persistence of these effects are quantitatively important.     

Shirking in a monetary business cycle model

Abstract .  This paper investigates whether a limited participation model with imperfectly observed effort can reproduce the economy's responses to a monetary policy shock without appealing to high labour supply elasticities or high markups. The results demonstrate that the presence of imperfectly observed effort, in combination with the limited participation assumption, allows the model to account for the presence of involuntary unemployment, nominal wage rigidity, and the observed responses to monetary policy shocks.     

A business cycle model with variable capacity utilization and demand disturbances

We develop a dynamic general-equilibrium model with demand (preference) shocks, estimated using Hall's (J. Labour Economics 15 (1997) 223) residual, that replicates U.S. business cycles well, at least compared to the real business cycle models. The key factor is cyclical capital utilization, which is based on imperfect competition, slow adjustments in capital stock, and fixed requirement of labor input. We also demonstrate theoretically that a representative-agent economy with preference shocks could be viewed as the reduced form of a heterogeneous-agents economy with incomplete markets. Specifically, a heterogeneous-agents economy with incomplete markets is aggregated into a representative-agent economy with preference shocks. This result would provide a microeconomic foundation for preference shock models. It is also shown that a shock to marginal utility of consumption and a shock to marginal disutility of labor have different effects.     

International transmission of the business cycle in a multi-sector model

Standard multi-country models do not replicate important features of the international transmission of business cycles, predicting cross-country correlations of output and consumption which are, respectively, too low and too high. In this paper we modify the supply side of a two-country model by adding multiple sectors and trade in intermediate goods. The model generates a higher cross-country correlation of output than standard one-sector models. It also predicts cross-country correlations of employment and investment that are closer to the data. We analyze the relative impact of multiple sectors, trade in intermediate goods, imperfect substitution between domestic and foreign goods, home preference, capital adjustment costs, and capital depreciation in order to pinpoint the features which move the model's predictions closer to the data.     

On the stability of non-Walrasian equilibria

We present a dynamic disequilibrium macro model which permits non-Walrasian or Keynesian equilibria as stationary states. Unlike the stability results obtained by Varian (1977), and Eckalbar (1979,1980,1981) in a series of papers in the same model, we show that such equilibria have the saddle point property when the real wage rate, the real money balances and expected output demand, all change in disequilibrium.     

Strange attractors in a multisector business cycle model

Three coupled oscillating sectors in a multisector Kaldor-type business cycle model can give rise to the occurrence of chaotic motion. If the sectors are linked by investment demand interdependencies, this coupling can be interpreted as a perturbation of a motion on a three-dimensional torus. A theorem by Newhouse, Ruelle and Takens implies that such a perturbation may possess a strange attractor with the consequence that the flow of the perturbed system may become irregular or chaotic. A numerical investigation reveals that parameter values can be found which indeed lead to chaotic trajectories in this cycle model.     

Intangible capital in a real business cycle model

Recent empirical studies have shown that intangible capital plays an important role in explaining productivity gains that have occurred during the last two decades. By introducing intangible capital in an otherwise standard theoretical real business cycle model, this paper aims to provide a theoretical foundation of the empirical findings. Our results indicate that investment in intangible capital is pro-cyclical. Both transitory as well as permanent productivity shocks increase investment in intangible capital. However, in case of a permanent technology shock we learn that firms allocate more labor and physical capital to the creation of intangible capital which increases future profits at the cost of current profit. We also find that investment in intangible capital plays an important role in producing endogenous movements in productivity.     

A structural VAR business cycle model for a volatile small open economy

New Zealand is a small economy exposed to a volatile climate, relatively volatile international trade prices, and its exposure to international financial markets has increased markedly since economic reforms in the 1980s. This paper applies identification techniques suggested by Cushman and Zha [Cushman, D.O. and Zha T.A., 1997. Identifying monetary policy in a small open economy under flexible exchange rates, Journal of Monetary Economics, 39, pp. 433–448.], Zha [Zha, T.A., (1999). Block recursion and structural vector autoregression, Journal of Econometrics, 90, pp. 291–316.] and Dungey and Pagan [Dungey, M. and Pagan, A., 2000. A structural VAR model of the Australian economy, The Economic Record, 76, pp. 321–342.] to develop a large four block structural VAR model of the New Zealand business cycle to capture these features. The model reveals that climate and international trade price shocks have been more important sources of business cycles fluctuations than international or domestic financial shocks. Furthermore, the model does not encounter the price and exchange rate puzzles that have bedevilled attempts to identify monetary policy shocks in small open economy SVAR models.     

A real business cycle model with tradable and non-tradable goods for the Spanish economy

Over the last years, the business cycles of the Spanish economy have been analyzed from different points of view. Under the paradigm of the real business cycles, the standard model has been extended in several dimensions. However, none of them have taken into account the fact that in this economy the presence of non-tradable goods is one of the largest in the world. When this feature is properly taken into account, the modeled real business cycle small open economy, calibrated for Spanish data, is able to explain several distinct stylized facts for this economy. In particular, it explains the larger than standard volatility of private consumption, and the different cyclical properties of inflation for non-tradable and tradable goods. Furthermore, the theoretical model is able to adequately explain some other cyclical properties of Spanish macroeconomic variables, both at the aggregate and sectoral levels.     

Inflation and distribution in a Keynes-Wicksell model of the business cycle

The paper integrates a Kaleckian hypothesis of markup pricing and markup adjustments into a dynamic IS-LM model of Keynes-Wicksell type. Local stability and instability are characterized by different speeds of adjustments in the adaptive expectations of inflation. Application of the Hopf bifurcation theorem proves existence of periodic orbits in the three-dimensional state space. The global dynamics is investigated by means of computer simulations. A suitable modification of the rule of adaptive expectations checks the explosive tendencies and gives rise to an apparently unique and stable limit cycle. It is sketched how the evolution of the most important variables over this growth cycle compares to empirical stylized facts.     

Fair wages in a New Keynesian model of the business cycle

We build a New Keynesian model of the business cycle with sticky prices and real wage rigidities motivated by efficiency wages of the gift exchange variety. Compared to a standard sticky price model, our Fair Wage model provides an explanation for structural unemployment and generates more plausible labor market dynamics—notably accounting for the low correlation between wages and employment. The fair wage induced real wage rigidity also significantly reduces the elasticity of marginal cost with respect to output. The smoother dynamics of real marginal cost increase both amplification and persistence of output responses to monetary shocks, thus remedying the well-known lack of internal propagation of standard sticky price models. We take these improvements as a strong endorsement of the addition of real wage rigidities to nominal price rigidities and conclude that the fair wage extension of this paper constitutes a promising platform for an enriched New Keynesian synthesis.     

A comprehensive German business cycle chronology

Business cycle chronologies offer reference points for empirical studies used as benchmarks for business cycle and recession theory. A quasi-official chronology exists for the US economy, but not for most European countries, including Germany. While most papers dealing with business cycle dates rely on one specific method, I present and discuss a number of different dating approaches based on the classical business cycle. These are applied to German GDP data comprising 1970–2006. Finally, based on the results of the different methods, a consensus business cycle chronology for the German economy is suggested.     

The political business cycle: An extension of Nordhaus's model

Summary Nordhaus's (1975) model of the political business cycle is extended in this paper by explicitly formulating the link between the economic sphere (represented by the Phillips curve) and fiscal policy. This extended model yields the hypothesis that during an electoral period the budgetary policy is contractionary in the first half and expansionary in the second half with the consequences of a reduction in unemployment (increase in inflation) before elections and a rise in unemployment (decrease in inflation) after elections. This hypothesis is tested against the data of the Austrian economy by a non-parametric test (which leads to a rejection of our hypothesis for Austria). The extent of the political business cycle bias is demonstrated by policy simulations within a macroeconomic model.

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Zusammenfassung Das Modell vonNordhaus (1975) über den Politischen Konjunkturzyklus wird in diesem Artikel erweitert, indem explizit die Beziehung zwischen dem ökonomischen Bereich (repräsentiert durch die Phillips-Kurve) und der Fiskalpolitik hergestellt wird. Dieses erweiterte Modell führt zu der Hypothese, daß während einer Legislaturperiode die Budgetpolitik in der ersten Hälfte restriktiv und in der zweiten Hälfte expansiv ist. Als Konsequenz dieser Politik kommt es zu einer Verringerung der Arbeitslosigkeit (einem Anstieg der Inflation) vor Wahlen und einem Anstieg der Arbeitslosigkeit (einer Verringerung der Inflation) nach den Wahlen. Diese Hypothese wird an Hand österreichischer Daten mit Hilfe eines nichtparametrischen Tests geprüft (was zu einer Ablehnung unserer Hypothese für Österreich führt). Das quantitative Ausmaß des durch den Politischen Konjunkturzyklus entstehenden bias wird dann mit Hilfe von politischen Simulationen im Rahmen eines makroökonomischen Modells demonstriert.

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Definitions AK Public purchases of goods and services + public investment (A.S.) - AT Unemployed persons, in total (in 1.000) - AZA Worked hours per worker (in hours) - BAU Central government's expenditures (outlays) in total (A.S.) - BEI Central government's revenues (receipts) in total (A.S.) - BS Budget deficit of the Central government (A.S.) - CB Labour supply (in 1.000) - CH Unemployment rate (%) - CON Public consumption (A.S.) - COR Public consumption (A.S. 1964) - CPN Private consumption (A.S.) - CPR Private consumption (A.S. 1964) - CUB Current balance (A.S.) - DS Direct taxes + public income from property-transfers to households + transfers from households (A.S.) - DX DS-public income from property (A.S.) - D7273 Dummy for monetary policy and Dummy for change from gross turnover tax to VAT (1972+1; 1973–1; other 0) - D7278 Dummy for investment tax (1972+1; 1973–1; 1977+1; 1978–1; other 0) - D73US Dummy for shift of employers to employees (1973+1; other 0) - D7375 Dummy for incomes tax reform (1973–1; 1975–1; other 0) - D7778 Dummy for extra VAT (1977+1; 1978–1; other 0) - EBE Population in total (in 1.000) - EET Employment in total + unemployed (total labour supply; in 1.000) - ESE Employers (in 1.000) - EUS Employees (in 1.000) - FBN Monetary base (A.S.) - FGN Money M1 (A.S.) - FG Money M1 (A.S. 1964) - GDN Gross domestic product (A.S.) - GDR Gross domestic product (A.S. 1964) - GER Energy (1.000 t/TCE) - GIR Industry output (A.S. 1964) - GE Profits in total (A.S.) - GV Profits in total (A.S. 1964) - IS Indirect taxes—transfers to firms (A.S.) - ITN Gross fixed investment (A.S.) - ITR Gross fixed investment (A.S. 1964) - JR Final domestic demand (A.S. 1964) - LA Stocks and statistical discrepancies; National account basis (A.S.) - LEAD Difference of one major party over the other in parliament in percentage points - LB Foreign balance (A.S.) - LKV Long term capital transactions (A.S.) - MA Money M1 + profits (A.S. 1964) - MMN Imports of goods and services (A.S.) - MMR Imports of goods and services (A.S. 1964) - OIN Public investment (A.S.) - OKG Public purchases of goods and services (A.S.) - PC Private consumption deflator (1964=100) - PEN Energy prices (1964=100) - PI Gross fixed investment deflator (1964=100) - PK Imports of goods and services deflator (1964=100) - PL Exports of goods and services deflator (1964=100) - PT Gross domestic product deflator (1964=100) - RES Value change in balance of payments reserves (A.S.) - RIR Interest rate for long term bonds (%) - SD Stocks and statistical discrepancies; National account basis (A.S. 1964) - ST Overall indirect taxes—subsidies; National account basis (A.S.) - STD Direct taxes (A.S.) - STI Indirect taxes (A.S.) - TAH Transfers to households (A.S.) - TBB Trade balance (A.S.) - TTT Time (1960, 1961,..., 1979) - TUN Transfers to firms (A.S.) - TVH Transfers from households (A.S.) - VW Gross fixed investment plus exports of goods and services (A.S. 1964) - WON Changes in foreign currency reserves of the National Bank (A.S.) - WKU Changes in foreign currency reserves of all commercial banks (A.S.) - WW Changes in balance of payments' official reserves (A.S.) - XB Relative energy prices (1964=100) - XXN Exports of goods and services (A.S.) - XXR Exports of goods and services (A.S. 1964) - YLN Wages and salaries (compensation of employees; A.S.) - YOB Public income from property (A.S.) - YVN Net disposable income (A.S.) - YY Net disposable income (A.S.) - YYN National income (A.S.) - ZST Statistical discrepancies in balance of payments (A.S.) - A.S billion Austrian Schilling at current prices - A.S. 1964 billion Austrian Schilling at constant prices (basis 1964)     

Entrepreneurship over the business cycle

The fraction of self-employed rises in recessions because wage work is more sensitive than self-employment to the business cycle, not because of necessity entrepreneurship. Graduating during a recession reduces the probability of starting a business for the next 11 years.     

Measuring the Chinese business cycle

This article documents the business cycle characteristics of the Chinese economy by adopting both nonparametric and parametric methodologies. The two approaches are applied to relevant macroeconomics indicators – Gross Domestic Product (GDP) and Industrial Production (IP) indices – aiming to investigate the growth cycle (deviation cycle). We provide a clear chronology of the Chinese growth cycle. One significant characteristic of the Chinese growth cycle is the relatively direct influence of government policies. However, recently these policy effects have become less significant when compared to global economic influences. Our study provides an enhanced understanding of the properties of business cycle dating algorithms and as such contributes to future Chinese business cycle research.     

Inequality and the business cycle: A consumption viewpoint

Using Consumer Expenditure Survey data, we obtain summary measures of the distributions of income and consumption for each quarter between 1980 and 1994. We find that the trends in the distribution of income and consumption and the response of these trends to changes in inflation and unemployment were similar during this period. We find that unemployment does not significantly affect the inequality measures and that inflation has a progressive effect, i.e., that a decrease in inflation is associated with an increase in inequality. Finally, we find that the relationship between inequality and macroeconomic variables during the 1990s may be similar to the relationship that existed prior to 1980. First version received: September 1996/final version received: September 1997