Time series decomposition and measurement of business cycles, trends and growth cycles

A study of business cycles does not require trend estimation and elimination, but a study of growth cycles does. Major cyclical slowdowns and speedups deserve to be analyzed, but the needed time series decomposition presents difficult problems, mainly because trends and cycles influence each other. We compare cyclical movements in levels, deviations from trend, and smoothed growth rates for both the quarterly real GDP and the monthly U.S. Coincident Index—using the phase average trend (PAT). Then we compare alternative trend estimates, deterministic and stochastic, linear and nonlinear, and the corresponding series of deviations from these trends. We discuss how the resulting estimates differ for U.S. growth cycles in the post-World War II period. The results of PAT show great similarity to the results obtained with the Hodrick-Prescott, local linear trend, band-pass filtering methods.     

Crude substitution: The cyclical dynamics of oil prices and the skill premium

At the business cycle frequency, energy prices and the skill premium display a strong, negative correlation. This fact is robust to different de-trending procedures. Identifying exogenous shocks to oil prices using the Hoover-Perez [1994. Post hoc ergo propter once more: an evaluation of ‘Does monetary policy matter?’ in the spirit of James Tobin. Journal of Monetary Econonmics 34, 47-73] dates, shows that the skill premium falls in response to such a shock. The estimation of the parameters of an aggregate technology that uses, among other inputs, energy and heterogeneous skills, demonstrates that capital-skill and capital-energy complementarity are responsible for this correlation. As energy prices rise, the use of capital decreases and the demand for unskilled labor—relative to skilled labor—increases, lowering the skill premium.     

India's pattern of development: What happened, what follows?

India has followed an idiosyncratic pattern of development, certainly compared with other fast-growing Asian economies. While the importance of services rather than manufacturing has been widely noted, within manufacturing India has emphasized skill-intensive rather than labor-intensive manufacturing, and industries with higher-than-average scale (though average firm size within industries is unusually small). Some of these distinctive patterns existed prior to the beginning of economic reforms in the 1980s, and stem from the idiosyncratic policies adopted after India's independence. These patterns have not changed despite reforms that have removed some policy impediments that contributed to India's distinctive path. We discuss the implications for India's future growth.     

The Relationships between Permanent and Transitory Movements in U.S. Output and the Unemployment Rate

This paper estimates the permanent and transitory movements in U.S. output and the unemployment rate and the relationships between them. The results suggest that permanent movements in U.S. output and the unemployment rate are important for explaining overall fluctuations. Further, the correlation between changes in these series arises in large part due to the relationship between their permanent components.     

Costs of business cycles for unskilled workers

Unskilled workers are subject to a much larger risk of unemployment during recessions than are skilled workers. Moreover, unskilled workers earn less income, which limits their ability to self-insure. We examine how this heterogeneity in unemployment risk and income across different skill groups translates into heterogeneity in the cost of business cycles. We find that the welfare cost of business cycles for unskilled workers is substantially higher than the welfare cost for skilled workers.     

The (ir)relevance of real wage rigidity in the New Keynesian model with search frictions

We develop a New Keynesian model with search and matching frictions in the labor market. We show that the model generates counterfactual labor market dynamics. In particular, it fails to generate the negative correlation between vacancies and unemployment in the data, i.e., the Beveridge curve. Introducing real wage rigidity leads to a negative correlation, and increases the magnitude of labor market flows to more realistic values. However, inflation dynamics are only weakly affected by real wage rigidity. The reason is that labor market frictions give rise to long-run employment relationships. The measure of real marginal costs that is relevant for inflation in the Phillips curve contains a present value component that varies independently of the real wage.     

Anticipated growth and business cycles in matching models

In a business cycle model that incorporates a standard matching framework, employment increases in response to news shocks, even though the wealth effect associated with the increase in expected productivity reduces labor force participation. The reason is that the matching friction induces entrepreneurs to increase investment in new projects and vacancies early. If there is underinvestment in new projects in the competitive equilibrium, then the efficiency gains associated with an increase in employment make it possible that consumption, employment, output, as well as the investment in new and existing projects jointly increase long before the actual increase in productivity materializes. If there is no underinvestment, then investment in existing projects decreases, but total investment, consumption, employment, and output still jointly increase.     

Stock market boom and the productivity gains of the 1990s

Together with a sense of entering a New Economy, the U.S. experienced in the second half of the 1990s an economic expansion, a stock market boom, a financing boom for new firms and productivity gains. This article proposes an interpretation of these events within a general equilibrium model with financial frictions and decreasing returns to scale in production. We show that the mere prospect of high future productivity growth can generate sizable gains in current productivity, as well as the other above mentioned events.     

Resuscitating the wage channel in models with unemployment fluctuations

Higher wages all else equal translate into higher inflation. More rigid wages imply a weaker response of inflation to shocks. This view of the wage channel is deeply entrenched in central banks’ views and models of their economies. In this paper, we present a model with equilibrium unemployment which has three distinctive properties. First, using a search and matching model with right-to-manage wage bargaining a proper wage channel obtains. Second, accounting for fixed costs associated with maintaining an existing job greatly magnifies profit fluctuations for any given degree of wage fluctuations, which allows the model to reproduce the fluctuations of unemployment over the business cycle. And third, the model implies a reasonable elasticity of steady state unemployment with respect to changes in benefits. The calibration of the model implies low profits, but does not require a small gap between the value of working and the value of unemployment for the worker.     

The brevity and violence of contractions and expansions

Early studies of business cycles argued that contractions in economic activity were briefer (shorter) and more violent (rapid) than expansions. This paper systematically investigates this claim and in the process discovers a robust new business cycle fact: contractions in employment are briefer and more violent than expansions but we cannot reject the null of equal brevity and violence for expansions and contractions in output. The difference arises because employment typically lags output around peaks but they coincide in their troughs. We discuss the performance of existing business cycle models in accounting for this fact, and conclude that none can fully account for it. We then show that a business cycle model with asymmetric adjustment costs on employment and a choice of when to scrap old technologies can account for the business cycle fact both qualitatively and quantitatively.     

Growth and volatility

Growth and volatility correlate negatively across countries, but positively across sectors. Analytically, whether or not sectoral growth and volatility are correlated positively is irrelevant in the aggregate. Cross-country estimates identify the detrimental effects of macroeconomic volatility on growth, but they cannot be used to dismiss theories implying a positive growth-volatility coefficient, which appear to hold in sectoral data. In particular, volatile sectors command high investment rates, as they would in a mean-variance framework.     

Investment cycles and startup innovation

We find that venture capital-backed startups receiving their initial investment in hot markets are more likely to go bankrupt, but conditional on going public, are valued higher on the day of their initial public offering, have more patents, and have more citations to their patents. Our results suggest that VCs invest in riskier and more innovative startups in hot markets (rather than just worse firms). This is particularly true for the most experienced VCs. Furthermore, our results suggest that increased capital in hot times plays a causal role in shifting investments to more novel startups by lowering the cost of experimentation for early stage investors and allowing them to make riskier, more novel, investments.