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Report
Practical Optimal Income Taxation
We review methods used to numerically compute optimal Mirrleesian tax and transfer schedules in heterogeneous agent economies. We show that the coarseness of the productivity grid, while a technical detail in terms of theory, is critical for delivering quantitative policy prescriptions. Existing methods are reliable only when a very fine grid is used. The problem is acute for computational approaches that use a version of the Diamond-Saez implicit optimal tax formula. If using a very fine grid for productivity is impractical, then optimizing within a flexible parametric class is preferable to ...
Report
Optimal Tax Progressivity: An Analytical Framework
What shapes the optimal degree of progressivity of the tax and transfer system? On the one hand, a progressive tax system can counteract inequality in initial conditions and substitute for imperfect private insurance against idiosyncratic earnings risk. At the same time, progressivity reduces incentives to work and to invest in skills, and aggravates the externality associated with valued public expenditures. We develop a tractable equilibrium model that features all of these trade-offs. The analytical expressions we derive for social welfare deliver a transparent understanding of how ...
Report
Optimal Progressivity with Age-Dependent Taxation
This paper studies optimal taxation of labor earnings when the degree of tax progressivity is allowed to vary with age. We analyze this question in a tractable equilibrium overlapping-generations model that incorporates a number of salient trade-offs in tax design. Tax progressivity provides insurance against ex-ante heterogeneity and earnings uncertainty that missing markets fail to deliver. However, taxes distort labor supply and human capital investments. Uninsurable risk cumulates over the life cycle, and thus the welfare gains from income compression via progressive taxation increase ...
Working Paper
Health versus Wealth: On the Distributional Effects of Controlling a Pandemic
To slow the spread of COVID-19, many countries are shutting down nonessential sectors of the economy. Older individuals have the most to gain from slowing virus diffusion. Younger workers in sectors that are shuttered have the most to lose. In this paper, we build a model in which economic activity and disease progression are jointly determined. Individuals differ by age (young and retired), by sector (basic and luxury), and by health status. Disease transmission occurs in the workplace, in consumption activities, at home, and in hospitals. We study the optimal economic mitigation policy of a ...
Report
More Unequal We Stand? Inequality Dynamics in the United States, 1967–2021
Heathcote et al. (2010) conducted an empirical analysis of several dimensions of inequality in the United States over the years 1967-2006, using publicly-available survey data. This paper expands the analysis, and extends it to 2021. We find that since the early 2000s, the college wage premium has stopped growing, and the race wage gap has stalled. However, the gender wage gap has kept shrinking. Both individual- and household-level income inequality have continued to rise at the top, while the cyclical component of inequality dominates dynamics below the median. Inequality in consumption ...
Report
There Is No Excess Volatility Puzzle
We present two valuation models which we use to account for the annual data on price per share and dividends per share for the CRSP Value-Weighted Index from 1929 to 2023. We show that it is a simple matter to account for these data based purely on a model of variation over time in the expected ratio of dividends per share to aggregate consumption under two conditions. First, investors must receive news shocks regarding the expected ratio of dividends per share to aggregate consumption in the long run. Second, the discount rate used to evaluate the impact of this news on the current price per ...
Report
Optimal Income Taxation: Mirrlees Meets Ramsey
What structure of income taxation maximizes the social benefits of redistribution while minimizing the social harm associated with distorting the allocation of labor input? Many authors have advocated scrapping the current tax system, which redistributes primarily via marginal tax rates that rise with income, and replacing it with a flat tax system, in which marginal tax rates are constant and redistribution is achieved via non-means-tested transfers. In this paper we compare alternative tax systems in an environment with distinct roles for public and private insurance. We evaluate ...
Working Paper
Housing and the business cycle
In the United States, the percentage standard deviation of residential investment is more than twice that of non-residential investment. In addition, GDP, consumption, and both types of investment co-move positively. We reproduce these facts in a calibrated multi-sector growth model where construction, manufacturing and services are combined, in different proportions, to produce consumption, business investment and residential structures. New housing requires land in addition to new structures. The model can also account for important features of industry-level data. In particular, hours and ...
Report
Intergenerational Redistribution in the Great Recession
We construct a stochastic overlapping-generations general equilibrium model in which households are subject to aggregate shocks that affect both wages and asset prices. We use a calibrated version of the model to quantify how the welfare costs of big recessions are distributed across different household age groups. The model predicts that younger cohorts fare better than older cohorts when the equilibrium decline in asset prices is large relative to the decline in wages. Asset price declines hurt the old, who rely on asset sales to finance consumption, but benefit the young, who purchase ...
Working Paper
Intergenerational redistribution in the Great Recession
In this paper we construct a stochastic overlapping-generations general equilibrium model in which households are subject to aggregate shocks that affect both wages and asset prices. We use a calibrated version of the model to quantify how the welfare costs of severe recessions are distributed across different household age groups. The model predicts that younger cohorts fare better than older cohorts when the equilibrium decline in asset prices is large relative to the decline in wages, as observed in the data. Asset price declines hurt the old, who rely on asset sales to finance ...