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.     

WHY HAVE AGGREGATE SKILLED HOURS BECOME SO CYCLICAL SINCE THE MID‐1980s?*

We document and discuss a dramatic change in the cyclical behavior of aggregate skilled hours since the mid‐1980s. Using CPS data for 1979:1–2003:4, we find that the volatility of skilled hours relative to the volatility of GDP has nearly tripled since 1984. In contrast, the cyclical properties of unskilled hours have remained essentially unchanged. We evaluate whether a simple supply/demand model for skilled and unskilled labor with capital‐skill complementarity in production can help explain this stylized fact. Our model accounts for about 60% of the observed increase in the relative volatility of skilled labor.     

BUSINESS CYCLES IN THE EQUILIBRIUM MODEL OF LABOR MARKET SEARCH AND SELF‐INSURANCE*

I introduce risk‐aversion, labor‐leisure choice, capital, individual productivity shocks, and market incompleteness to the standard model of labor search and matching and investigate the model’s cyclical properties. I find that the model can generate the observed large volatility of unemployment and vacancies with a reasonable replacement rate of unemployment insurance benefits of 64%. Labor‐leisure choice plays a crucial role through additional utility from leisure when unemployed and further amplification from adjustments of hours worked. On the other hand, the borrowing constraint or individual productivity shocks do not significantly affect the cyclical properties of unemployment and vacancies.     

The role of inventories and capacity utilization as shock absorbers

We examine the role of inventories and capacity utilization (of both capital and labor) for the propagation of business cycle fluctuations. We document a new set of facts regarding the U.S. cyclical regularities of inventories and capacity utilization. First, we find that capital utilization and the flows of services from both capital and labor are procyclical, and comove with the holdings of inventories. Second, we find that labor utilization is procyclical as well, but is weakly negatively correlated with inventories. We build a model that accounts for these facts, and also accounts for the stylized inventory facts, i.e., inventory holdings are procyclical, while the inventory-to-sales ratio is countercyclical. The analysis is centered on the effects of two possible shocks: preference (demand) shocks and technology shocks. Our model shows that inventories and the rate of capital utilization are mostly complements, while inventories and the rate of labor utilization are mostly substitutes. It further shows that temporary demand shocks emphasize the role of inventories as being a “shock absorber,” whereas high-persistence demand shocks, as well as technology shocks of any persistence, emphasize the role of inventories as being a complement to consumption.     

Business Demand for Broadband Access Capacity

Using data garnered from a quarterly survey of U.S. business establishments from 2Q2000 through 1Q2001, the study estimates an aggregate model of business demand for broadband access capacity. The primary goal is to estimate price elasticities for the demand for access capacity conditional on a business establishment having made the decision to adopt some form of broadband access. The primary findings are (1) on average, the demand for broadband access capacity is price inelastic; (2) the sensitivity to price differs substantially across establishments of different sizes with small establishments exhibiting the greatest sensitivity to price; and (3) the estimated elasticities have important implications for public policies designed to extend broadband networks to unserved areas.     

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.     

2018 KLEIN LECTURE: INDIVIDUAL AND AGGREGATE LABOR SUPPLY IN HETEROGENEOUS AGENT ECONOMIES WITH INTENSIVE AND EXTENSIVE MARGINS

We study business cycle fluctuations in heterogeneous agent general equilibrium models featuring intensive and extensive margins of labor supply. A nonlinear mapping from time devoted to work to labor services generates operative extensive and intensive margins. Our model captures the salient features of the empirical distribution of hours worked, including how individuals transit within this distribution. We study how various specifications influence labor supply responses to aggregate technology shocks and find that abstracting from intensive margin adjustment can have large effects on the volatility of aggregate hours even if fluctuations along the intensive margin are small.     

Learning,capital-embodied technology and aggregate fluctuations

Recent cyclical episodes in the U.S. and G-7 economies are asymmetric: recoveries and expansions tend to be long and gradual and busts tend to be short and sharp. A large body of work views the two recent cyclical U.S. episodes, namely, the “new economy” boom in the late 1990s, and the 2000s housing boom-bust as episodes where over-optimistic beliefs have played a significant role. These episodes have revived interest in expectations driven business cycles models. However, previous work in this area has not addressed the important asymmetry feature of business cycles. This paper takes a step towards addressing this limitation of expectations driven business cycle models. We propose a generalization of the Greenwood et al. (1988) model with vintage capital and learning about capital embodied productivity and show it can deliver fluctuations that are asymmetric as in the U.S. data. Learning, calibrated to match the procyclical forecast precision from the Survey of Professional Forecasters, is crucial for the model?s ability to generate asymmetries. Forecast errors generated by the model are shown to trigger recessions that mimic in magnitude, duration and depth the typical post WW II U.S. recession.     

On the role of money in a business cycle model of a small open economy: The case of Spain

This paper examines the consequences of introducing a cash-in-advance constraint into a small open economy business cycle model for the Spanish case. A business cycle model is built extending Correia, Neves and Rebelo's (1995) small open economy framework and Cooley and Hansen's (1995) monetary economy. Money is introduced through a cash-in-advance constraint. The stochastic simulation of the model and its comparison to Spanish data show that the model is able to mimic i) the Dolado et al. puzzle, that is, the high volatility of private consumption for this economy; ii) the Dunlop-Tarshis observation, i.e., the negative correlation between real wages and hours worked; and iii) some cyclical features of the nominal dimension.     

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.     

Business cycles in a two-sector model of endogenous growth

Summary. This paper analyzes the impact of cyclical volatility on long-term economic growth: does growth increase or decrease with increased cyclical volatility? We construct a stochastic two-sector model of endogenous growth to analyze this question in detail. We will show that economic growth is higher in the presence of business cycles, since people devote more time to learning activities in an uncertain economic environment. Human capital is a hedge against future income uncertainty. Hence, the rate of economic growth will be higher in a stochastic environment. Based on a calibration of the model, we find that economic growth increases by 0.46%-point as a result of observed business cycle variability. When account is taken of the interaction between the model's general equilibrium and the cycle, welfare gains (measured in units of a permanent percentage increase in consumption) from eliminating business cycle volatility are approximately 1.87%. Received: January 25, 2000; revised version: November 3, 2000     

Tenure, business cycle and the wage-setting process

We analyze the interaction between job tenure and external labor market conditions in wage determination. First, we introduce a model that combines job matching with business-cycle effects. As the employment relationship progresses, the worker appropriates a portion of the value of the match-specific human capital she accumulates, gradually becoming shielded from the cyclical variations in external labor market conditions: the employment relationship is progressively “internalized”. Then, we present empirical evidence supporting this prediction: the elasticity of wages to the unemployment rate decreases with tenure. This finding is robust to different specifications that allow for job heterogeneity, and it contributes to the interpretation of recent evidence of changes in the effect of the business cycle on wages.     

What is the Real Story for Interest Rate Volatility?

What is the source of interest rate volatility? Why do low interest rates precede business cycle booms? Most observers tend to assume that monetary policy is largely responsible for it. Indeed, a standard real business cycle model delivers rather small fluctuations in real interest rates. Here, however, we present two models of the real business cycle variety, in which the fluctuations of real rates are of similar magnitude as in the data, while simultaneously matching salient business cycle facts. The second model also replicates the cyclical behavior of real interest rates. The models build on recent work by Danthine and Donaldson, Jermann, and Boldrin, Christiano and Fisher. We assume that there are workers and capital owners. The first model posits habit formation and adjustment costs to the stock of capital. The second model assumes that it takes time to plan investment and time to build capital.     

Business cycle fluctuations and the life cycle: How important is on-the-job skill accumulation?

We study the effects of on-the-job skill accumulation on average hours worked by age and the volatility of hours over the life cycle in a calibrated general equilibrium model. Two forms of skill accumulation are considered: learning by doing and on-the-job training. In our economy with learning by doing, individuals supply more labor early in the life cycle and less as they approach retirement than they do in an economy without this feature. The impact of this feature on the volatility of hours over the life cycle depends on the value of the intertemporal elasticity of labor supply. When individuals accumulate skills by on-the-job training, there are only weak effects on both the steady-state labor supply and its volatility over the life cycle.     

Participation and hours of work: Two stages in the life-cycle of married women

A 1979 cross-section of Dutch households is used to estimate an integrated labor force participation and hours of work labor supply model for women. Young women and older women are found to behave differently. Wage and income elasticities are always higher for older than for younger women (in absolute terms), and the relative importance of participation and hours elasticities is reversed as the average woman grows older, thereby implying that younger women tend to be more preoccupied with the participation decision whereas older women are more concerned with the hours decision. Econometrically the paper builds on Heckman's (1974) participation cum-hours model by adapting the estimation method to allow for the fact that hours worked are only observed in intervals. A maximum likelihood model in which we integrate over parts of the hours distribution is used. This technique, though computationally involved, gave satisfying results. We compare the results with estimates of a similar but much simpler probit model to identify the possible biases in the simpler approach.     

A simultaneous discrete choice model of labor supply and wages for married women in Switzerland

A simultaneous model of female labor supply and wages is estimated. The labor supply model is formulated as a trichotomous discrete choice model in order to take into account the bimodal distribution of observed working hours. For women without observed wages the probability of choosing the observed work category is integrated over all values of the wage. The model is estimated using a sample of married women in Switzerland. The budget constraint is constructed by computing the disposable income for each hours point, taking into account the Swiss income tax system. The estimation results imply relatively modest wage elasticities of expected labor supply for working women. On the other hand the elasticity of the participation probability with respect to wages for nonworkers is twice as large. The magnitude of the income elasticities is comparable to other studies. The wage elasticities obtained with two alternative estimation procedures are considerably lower. These results show that wage elasticities crucially depend on how the problem of unobserved wages is solved.     

Gender gaps across countries and skills: Demand,supply and the industry structure

The comovement between gender gaps in hours and wages across countries and skills reveals the presence of net demand forces shaping gender differences in labor market outcomes. This paper links the rich pattern of variation in gender gaps to the process of structural transformation. Based on a stylized, multi-sector equilibrium model, we illustrate that the gender bias in labor demand can be decomposed into measurable within- and between-industry components. Using comparable micro data across countries, we find that international differences in the industry structure explain more than eighty percent of the overall variation in labor demand between the U.S. and all other countries in our sample, and roughly one third of the overall cross-country variation in wage and hours gaps.     

A quantitative theory of the gender gap in wages

This paper measures how much of the gender wage gap over the life cycle is due to the fact that working hours are lower for women than for men. We build a quantitative theory of fertility, labor supply, and human capital accumulation decisions to measure gender differences in human capital investments over the life cycle. We assume that there are no gender differences in the human capital technology and calibrate this technology using wage–age profiles of men. The calibration of females assumes that children involves a forced reduction in hours of work that falls on females rather than on males and that there is an exogenous gender gap in hours of work. We find that our theory accounts for all of the increase in the gender wage gap over the life cycle in the NLSY79 data. The impact of children on the labor supply of females accounts for 56% and 45% of the increase in the gender wage gap over the life cycle among non-college and college females, while the rest is due to the exogenous gender differences in hours of work.     

The changing structure of cost and demand for the U.S. telecommunications industry

This paper formulates a multiproduct structural model to examine the evolution of the structures of production and demand and their dynamic interaction, over an extended period, 1935–1987, in the U.S. telecommunications industry. We estimate the degree of scale economies, cost elasticities, input price elasticities and the determinants of demand for outputs and for various factors of production. The contributions of the quasi-fixed inputs, such as R&D and physical capital, in the evolution of this industry are evaluated. A number of important issues like the changing characteristics of demand for and cost of local and toll services and the variation of price–cost margin over time are examined under different economic conditions, market structures and regulatory environments. We also analyze the effects of the 1984 divestiture of the Bell System on the cost structure, employment and capital formation of the U.S. telecommunications industry.     

THE CYCLICAL EFFECTS OF MONETARY POLICY REGIMES*

A 1979 change in U.S. monetary policy coincided with a break in the cyclical behavior of monetary aggregates, while the cyclical behavior of all other real and nominal variables remained relatively constant. A model is developed to assess the quantitative importance of a change in monetary policy in accounting for these observations. The monetary authority's reaction function is estimated conditionally on the theoretical model and accounts for upward of 72–95% of all observed changes, including inside money preceding the business cycle and a qualitative change in the cyclical behavior of the monetary base.