Research Database

Randomness in individual discovery disperses productivities, whereas learning from others keeps productivities together. Long-run growth and persistent earnings inequality emerge when these two mechanisms for knowledge accumulation are combined. This paper considers an economy in which those with more useful knowledge can teach others, with competitive markets assigning students to teachers. In equilibrium, students with an ability to learn quickly are assigned to teachers with the most productive knowledge. This sorting on ability implies large differences in earnings distributions conditional on ability, as shown using explicit formulas for the tail behavior of these distributions.

We develop a pair of risk measures, health and mortality delta, for the universe of life and health insurance products. A life-cycle model of insurance choice simplifies to replicating the optimal health and mortality delta through a portfolio of insurance products. We estimate the model to explain the observed variation in health and mortality delta implied by the ownership of life insurance, annuities including private pensions, and long-term care insurance in the Health and Retirement Study. For the median household aged 51 to 57, the lifetime welfare cost of market incompleteness and suboptimal choice is 3.2% of total wealth.

We study fiscal and monetary policy in a monetary union with the potential for rollover crises in sovereign debt markets. Member-country fiscal authorities lack commitment to repay their debt and choose fiscal policy independently. A common monetary authority chooses inflation for the union, also without commitment. We first describe the existence of a fiscal externality that arises in the presence of limited commitment and leads countries to over-borrow; this externality rationalizes the imposition of debt ceilings in a monetary union. We then investigate the impact of the composition of debt in a monetary union, that is the fraction of high-debt versus low-debt members, on the occurrence of self-fulfilling debt crises. We demonstrate that a high-debt country may be less vulnerable to crises and have higher welfare when it belongs to a union with an intermediate mix of high- and low-debt members, than one where all other members are low-debt. This contrasts with the conventional wisdom that all countries should prefer a union with low-debt members, as such a union can credibly deliver low inflation. These findings shed new light on the criteria for an optimal currency area in the presence of rollover crises.

We develop a model of equilibrium price dispersion via retailer search and show that the degree of market segmentation within and across countries cannot be separately identified by good-level price data alone. We augment a set of well-known empirical facts about the failure of the law of one price with data on aggregate intranational and international trade quantities, and calibrate the model to match price and quantity facts simultaneously. The calibrated model matches the data very well and implies that within-country markets are strongly segmented, while international borders contribute virtually no additional market segmentation.

The direct benefits of infrastructure in developing countries can be large, but if new infrastructure induces in-migration, congestion of other local publicly provided goods may offset the direct benefits. Using the example of rural household electrification in South Africa, we demonstrate the importance of accounting for migration when evaluating welfare gains of spatial programs. We also provide a practical approach to computing welfare gains that does not rely on land prices. We develop a location choice model that incorporates missing land markets and allows for congestion in local land. Using this model, we construct welfare bounds as a function of the income and population effects of the new electricity infrastructure. A novel prediction from the model is that migration elasticities and congestion effects are especially large when land markets are missing. We empirically estimate these welfare bounds for rural electrification in South Africa and show that congestion externalities from program-induced migration reduced local welfare gains by about 40%.

By the 1970s, quid pro quo policy, which requires multinational firms to transfer technology in return for market access, had become a common practice in many developing countries. While many countries have subsequently liberalized quid pro quo requirements, China continues to follow the policy. In this paper, we incorporate quid pro quo policy into a multicountry dynamic general equilibrium model, using microevidence from Chinese patents to motivate key assumptions about the terms of the technology transfer deals and macroevidence on China’s inward foreign direct investment (FDI) to estimate key model parameters. We then use the model to quantify the impact of China’s quid pro quo policy and show that it has had a significant impact on global innovation and welfare.

The idea that cartels might reduce industry productivity by misallocating production from high to low productivity producers is as old as Adam. However, the study of the economic consequences of cartels has almost exclusively focused on the losses from higher prices (i.e., Harberger triangles). Yet, as the old idea suggests, we show that the rules for quotas and side payments in the New Deal sugar cartel led to significant misallocation of production. The resulting productivity declines essentially destroyed the entire cartel profit. The magnitude of the deadweight losses (relative to value added) was large: we estimate a lower bound for the losses equal to 25 percent and 42 percent in the beet and cane industries, respectively.

Does macroeconomic volatility/uncertainty affect accumulation of net foreign assets? In OECD economies over the period 1970-2012, changes in country specific aggregate volatility are, after controlling for a wide array of factors, significantly positively associated with net foreign asset position. An increase in volatility (measured as the standard deviation of GDP growth) of 0.5% over period of 10 years is associated with an increase in the net foreign assets of around 8% of GDP. A standard open economy model with time varying aggregate uncertainty can quantitatively account for this relationship. The key mechanism is precautionary motive: more uncertainty induces residents to save more, and higher savings are in part channeled into foreign assets. We conclude that both data and theory suggest uncertainty/volatility is an important determinant of the medium/long run evolution of external imbalances in developed countries.

The recent debt crises in Europe and the U.S. states feature similar sharp increases in spreads on government debt but also show important differences. In Europe, the crisis occurred at high government indebtedness levels and had spillovers to the private sector. In the United States, state government indebtedness was low, and the crisis had no spillovers to the private sector. We show theoretically and empirically that these different debt experiences result from the interplay between differences in the ability of governments to interfere in private external debt contracts and differences in the flexibility of state fiscal institutions.

We study optimal fiscal policy in a small open economy (SOE) with sovereign and private default risk and limited commitment to tax plans. The SOE's government uses linear taxation to fund exogenous expenditures and uses public debt to inter-temporally allocate tax distortions. We characterize a class of environments in which the tax on labor goes to zero in the long run, while the tax on capital income may be non-zero, reversing the standard prediction of the Ramsey tax literature. The zero labor tax is an optimal long run outcome if the economy is subject to sovereign debt constraints and the domestic households are impatient relative to the international interest rate. The front loading of tax distortions allows the economy to build a large (aggregate) debt position in the presence of limited commitment. We show that a similar result holds in a closed economy with imperfect inter-generational altruism, providing a link with the closed-economy literature that has explored disagreement between the government and its citizens regarding inter-temporal tradeoffs.

In what order should a developing country adopt policy reforms? Do some policies complement each other? Do others substitute for each other? To address these questions, we develop a two-country dynamic general equilibrium model with entry and exit of firms that are monopolistic competitors. Distortions in the model include barriers to entry of firms, barriers to international trade, and barriers to contract enforcement. We find that a reform that reduces one of these distortions has different effects depending on the other distortions present. In particular, reforms to trade barriers and barriers to the entry of new firms are substitutable, as are reforms to contract enforcement and trade barriers. In contrast, reforms to contract enforcement and the barriers to entry are complementary. Finally, the optimal sequencing of reforms requires reforming trade barriers before contract enforcement.

The puzzling behavior of inflation in the Great Recession and its aftermath has increased the need to better understand the constraints that firms face when setting prices. Using new data and theory, I demonstrate that each firm's choice of how much information to acquire to set prices determines aggregate price dynamics through the patterns of pricing at the micro level, and through the large heterogeneity in pricing policies across firms. Viewed through this lens, the behavior of prices in recent years becomes less puzzling, as firms endogenously adjust their information acquisition strategies. In support of this mechanism, I present micro evidence that firms price goods using plans that are sticky, coarse, and volatile. A theory of information-constrained price setting generates such policies endogenously, and quantitatively matches the discreteness, duration, volatility, and heterogeneity of policies in the data. Policies track the state noisily, resulting in sluggish adjustment to shocks. A higher volatility of shocks does not reduce monetary non-neutrality and generates slight inflation, while progress in the technology to acquire information results in deflation.

The flow opportunity cost of moving from unemployment to employment consists of foregone public benefits and the foregone value of non-working time in units of consumption. We construct a time series of the opportunity cost of employment using detailed microdata and administrative or national accounts data to estimate benefit levels, eligibility and take-up of benefits, consumption by labor force status, hours per worker, taxes, and preference parameters. Our estimated opportunity cost is procyclical and volatile over the business cycle. The estimated cyclicality implies far less unemployment volatility in many leading models of the labor market than that observed in the data, irrespective of the level of the opportunity cost.

Employment and hours appear far more cyclical than dictated by the behavior of productivity and consumption. This puzzle has been called “the labor wedge” — a cyclical intratemporal wedge between the marginal product of labor and the marginal rate of substitution of consumption for leisure. The intratemporal wedge can be broken into a product market wedge (price markup) and a labor market wedge (wage markup). Based on the wages of employees, the literature has attributed the intratemporal wedge almost entirely to labor market distortions. Because employee wages may be smoothed versions of the true cyclical price of labor, we instead examine the self-employed and intermediate inputs, respectively. Looking at the past quarter century in the United States, we find that price markup movements are at least as important as wage markup movements — including during the Great Recession and its aftermath. Thus, sticky prices and other forms of countercyclical markups deserve a central place in business cycle research, alongside sticky wages and matching frictions.

We use unique price data to study how retailers react to underlying cost changes. Temporary sales account for 95% of price changes in our data. Simple models would, therefore, suggest that temporary sales play a central role in price responses to cost shocks. We find, however, that, in response to a wholesale cost increase, the entire increase in retail prices comes through regular price increases. Sales actually respond temporarily in the opposite direction from regular prices, as though to conceal the price hike. Additional evidence from responses to commodity cost and local unemployment shocks, as well as broader evidence from BLS data reinforces these findings. We present institutional evidence that sales are complex contingent contracts, determined substantially in advance. We show theoretically that these institutional practices leave little money “on the table”: in a price-discrimination model of sales, dynamically adjusting the size of sales yields only a tiny increase in profits.

We study the evolution of individual labor earnings over the life cycle using a large panel data set of earnings histories drawn from U.S. administrative records. Using fully nonparametric methods, our analysis reaches two broad conclusions. First, earnings shocks display substantial deviations from lognormality–the standard assumption in the incomplete markets literature. In particular, earnings shocks display strong negative skewness and extremely high kurtosis–as high as 30 compared with 3 for a Gaussian distribution. The high kurtosis implies that in a given year, most individuals experience very small earnings shocks, and a small but non-negligible number experience very large shocks. Second, these statistical properties vary significantly both over the life cycle and with the earnings level of individuals. We also estimate impulse response functions of earnings shocks and find important asymmetries: positive shocks to high-income individuals are quite transitory, whereas negative shocks are very persistent; the opposite is true for low-income individuals. Finally, we use these rich sets of moments to estimate econometric processes with increasing generality to capture these salient features of earnings dynamics.

We present and empirically implement an equilibrium labor market search model where risk averse workers facing medical expenditure shocks are matched with firms making health insurance coverage decisions. Our model delivers a rich set of predictions that can account for a wide variety of phenomenon observed in the data including the correlations among firm sizes, wages, health insurance offering rates, turnover rates and workers' health compositions. We estimate our model by Generalized Method of Moments using a combination of micro datasets including Survey of Income and Program Participation, Medical Expenditure Panel Survey and Robert Wood Johnson Foundation Employer Health Insurance Survey. We use our estimated model to evaluate the equilibrium impact of the 2010 Affordable Care Act (ACA) and find that it would reduce the uninsured rate among the workers in our estimation sample from about 22% in the pre-ACA benchmark economy to less than 4%. We also find that income-based premium subsidies for health insurance purchases from the exchange play an important role for the sustainability of the ACA; without the premium subsidies, the uninsured rate would be around 18%. In contrast, as long as premium subsidies and health insurance exchanges with community ratings stay intact, ACA without the individual mandate, or without the employer mandate, or without both mandates, could still succeed in reducing the uninsured rates to 7.34%, 4.63% and 9.22% respectively.

We develop an equilibrium concept in the Debreu (1954) theory of value tradition for a class of adverse selection economies which includes the Spence (1973) signaling and Rothschild-Stiglitz (1976) insurance environments. The equilibrium exists and is optimal. Further, all equilibria have the same individual type utility vector. The economies are large with a finite number of types that maximize expected utility on an underlying commodity space. An implication of the analysis is that the invisible hand works for this class of adverse selection economies.

What determines the earnings of a worker relative to his peers in the same occupation? What makes a worker fail in one occupation but succeed in another? More broadly, what are the factors that determine the productivity of a worker-occupation match? In this paper, we propose an empirical measure of skill mismatch for a worker-occupation match, which sheds light on these questions. This measure is based on the discrepancy between the portfolio of skills required by an occupation and the portfolio of abilities possessed by a worker for learning those skills. This measure arises naturally in a dynamic model of occupational choice and human capital accumulation with multidimensional skills and Bayesian learning about one’s ability to learn these skills. In this model, mismatch is central to the career outcomes of workers: it reduces the returns to occupational tenure, and it predicts occupational switching behavior. We construct our empirical analog by combining data from the National Longitudinal Survey of Youth 1979 (NLSY79), the Armed Services Vocational Aptitude Battery (ASVAB) on workers, and the O*NET on occupations. Our empirical results show that the effects of mismatch on wages are large and persistent: mismatch in occupations held early in life has a strong negative effect on wages in future occupations. Skill mismatch also significantly increases the probability of an occupational switch and predicts its direction in the skill space. These results provide fresh evidence on the importance of skill mismatch for the job search process.

This paper examines the macroeconomic implications of sovereign credit risk in a business cycle model where banks are exposed to domestic government debt. The news of a future sovereign default hampers financial intermediation. First, it tightens the funding constraints of banks, reducing their available resources to finance firms (liquidity channel). Second, it generates a precautionary motive for banks to deleverage (risk channel). I estimate the model using Italian data, finding that i) sovereign credit risk was recessionary and that ii) the risk channel was sizable. I then use the model to evaluate the effects of subsidized long term loans to banks, calibrated to the ECB’s longer-term refinancing operations. The presence of strong precautionary motives at the time of policy enactment implies that bank lending to firms is not very sensitive to these credit market interventions.

This appendix contains eight sections. Section 1 gives technical details of how we calculate standard errors in the CPS data. Section 2 discusses changes in the ACS procedures before 2005. Section 3 examines demographic and economic patterns in migration over the past two decades, in more detail than in the main paper. Section 4 examines the cross-sectional variance of location-occupation interactions in earnings when we define locations by MSAs instead of states. Section 5 describes alternative methods to estimate the variance of location-occupation interactions in income. Section 6 measures the segregation of industries across states and of occupations and industries across MSAs. Section 7 gives technical details on the use of SIPP and census data to calculate repeat and return migration rates. Section 8 discusses transition dynamics in the model.

We show that regulatory changes that occurred in the banking sector in the early eighties, which considerably weakened Regulation Q, can explain the apparent instability of money demand during the same period. We evaluate the effects of the regulatory changes using a model that goes beyond aggregates as M1 and treats currency and different deposit types as alternative means of payments. We use the model to construct a new monetary aggregate that performs remarkably well for the entire period 1915-2012.

Consumption-based asset pricing models with time-separable preferences can generate realistic amounts of stock price volatility if one allows for small deviations from rational expectations. We consider rational investors who entertain subjective prior beliefs about price behavior that are not equal but close to rational expectations. Optimal behavior then dictates that investors learn about price behavior from past price observations. We show that this imparts momentum and mean reversion into the equilibrium behavior of the price-dividend ratio, similar to what can be observed in the data. When estimating the model on U.S. stock price data using the method of simulated moments, we find that it can quantitatively account for the observed volatility of returns, the volatility and persistence of the price-dividend ratio, and the predictability of long-horizon returns. For reasonable degrees of risk aversion, the model generates up to one-half of the equity premium observed in the data. It also passes a formal statistical test for the overall goodness of fit, provided one excludes the equity premium from the set of moments to be matched.

We study a model of a small open economy that specializes in the production of commodities and that exhibits frictions in the setting of both prices and wages. We study the optimal response of monetary and exchange rate policy following a positive (negative) shock to the price of the exportable that generates an appreciation (depreciation) of the local currency. According to the calibrated version of the model, deviations from full price stability can generate welfare gains that are equivalent to almost 0.5% of lifetime consumption, as long as there is a significant degree of rigidity in nominal wages. On the other hand, if the rigidity is concentrated in prices, the welfare gains can be at most 0.1% of lifetime consumption. We also show that a rule - formally defined in the paper - that resembles a "dirty floating" regime can approximate the optimal policy remarkably well.

We study a variation of the standard model of sovereign default, as in Aguiar and Gopinath (2006) or Arellano (2008), and show that this variation is consistent with multiple interest rate equilibria. Some of those equilibria correspond to the ones identified by Calvo (1988), where default is likely because rates are high, and rates are high because default is likely. The model is used to simulate equilibrium movements in sovereign bond spreads that resemble sovereign debt crises. It is also used to discuss lending policies similar to the ones announced by the European Central Bank in 2012.

Matching efficiency is the productivity of the process for matching jobseekers to available jobs. Job-finding is the output; vacant jobs and active jobseekers are the inputs. Measurement of matching efficiency follows the same principles as measuring a Hicks-neutral index of productivity of production. We develop a framework for measuring matching productivity when the population of jobseekers is heterogeneous. The efficiency index for each type of jobseeker is the monthly job-finding rate for the type adjusted for the overall tightness of the labor market. We find that overall matching efficiency declined over the period, at just below its earlier downward trend. We develop a new approach to measuring matching rates that avoids counting short-duration jobs as successes. And we show that the outward shift in the Beveridge curve in the post-crisis period is the result of pre-crisis trends, not a downward shift in matching efficiency attributable to the crisis.

This paper describes how long-run growth emerges in four closely related models that combine individual discovery with some form of social learning. In a large economy, there is a continuum of long-run growth rates and associated stationary distributions when it is possible to learn from individuals in the right tail of the productivity distribution. What happens in the long run depends on initial conditions. Two distinct literatures, one on reaction-diffusion equations, and another on quasi-stationary distributions suggest a unique long-run outcome when the initial productivity distribution has bounded support.

We analyze the secular decline in interstate migration in the United States between 1991 and 2011. Gross flows of people across states are about 10 times larger than net flows, yet have declined by around 50 percent over the past 20 years. We argue that the fall in migration is due to a decline in the geographic specificity of returns to occupations, together with an increase in workers’ ability to learn about other locations before moving there, through information technology and inexpensive travel. These explanations find support in micro data on the distribution of earnings and occupations across space and on rates of repeat migration. Other explanations, including compositional changes, regional changes, and the rise in real incomes, do not fit the data. We develop a model to formalize the geographic-specificity and information mechanisms and show that a calibrated version is consistent with cross-sectional and time-series patterns of migration, occupations, and incomes. Our mechanisms can explain at least one-third and possibly all of the decline in gross migration since 1991.

This memo describes a revision to the mixed-frequency vector autoregression (MF-VAR) model originally constructed by Schorfheide and Song (2012) and subsequently revised by Beauchemin (2013). In this most recent version, the 14-variable model is expanded to include nonfarm payroll employment. The forecast performance of the augmented model is compared with that of its predecessor.