on the optimal progressivity of the income tax code this paper computes the optimal progressivity of the income tax code in a dynamic general equilibrium model with household heterogeneity in which uninsurable labor pro ductivity risk gives rise to a nontrivial income and wealth distribution a progressive tax system serves as a partial substitute for missing insurance markets and enhances an equal distribution of economic welfare these bene cial eects of a progressive tax system have to be traded oagainst the e ciency loss arising from distorting endoge nous labor supply and capital accumulation decisions a determination of the optimal progressivity of the income tax code therefore calls for a quantitative exploration using a utilitarian steady state social welfare criterion we nd that the optimal us income tax is well approximated by a at tax rate of19 5 and a xed deduction of about 3 700 the steady state welfare gains from a fundamental tax reform towards this tax system are equivalent to 0 4 higher consumption in each state of the world an explicit computation of the transition path induced by a reform of the current towards the optimal tax system indicates however that a majority of the population currently alive would suer welfare losses calling into question the political feasibility of such

earnings inequality and mobility in the united states evidence from social security data since 1937 this paper uses social security administration longitudinal earnings micro data since 1937 to analyze the evolution of inequality and mobility in the united states annual earnings inequality is u shaped decreasing sharply up to 1953 and increasing steadily afterward short term earnings mobility measures are stable over the full period except for a temporary surge during world war ii virtually all of the increase in the variance in annual log earnings since 1970 is due to increase in the variance of permanent earnings as opposed to transitory earnings mobility at the top of the earnings distribution is stable and has not mitigated the dramatic increase in annual earnings concentration since the 1970s long term mobility among all workers has increased since the 1950s but has slightly declined among men the decrease in the gender earnings gap and the resulting substantial increase in upward mobility over a lifetime for women are the driving force behind the increase in long term mobility among all workers

the evolution of wealth inequality over half a century the role of taxes transfers and technology over the last 50 years the u s tax system went through a striking transformation that reduced the effective tax rates for top income groups and raised transfers to seniors this paper investigates the macroeconomic repercussions of this change in policy particularly for the distributions of income wealth and consumption changes in taxes and transfers account for nearly half of the rise in wealth concentration nonetheless their impact on the distributions of income and consumption has been minor due to changes in equilibrium prices and the offsetting effects of tax cuts and transfers on the dispersion of consumption results highlight the role of increasing wage dispersion during this period as the main driver of trends in inequality

capital is back wealth income ratios in rich countries 1700 2010 how do aggregate wealth to income ratios evolve in the long run and why we address this question using 1970 2010 national balance sheets recently compiled in the top eight developed economies for the united states united kingdom germany and france we are able to extend our analysis as far back as 1700 we find in every country a gradual rise of wealth income ratios in recent decades from about 200 300 in 1970 to 400 600 in 2010 in effect today s ratios appear to be returning to the high values observed in europe in the eighteenth and nineteenth centuries 600 700 this can be explained by a long run asset price recovery itself driven by changes in capital policies since the world wars and by the slowdown of productivity and population growth in line with the s g harrod domar solow formula that is for a given net saving

on the distributional effects of reducing capital taxes this article asks whether household heterogeneity and market incompleteness have quantitatively important implications for the welfare effects of tax changes we compare a representative agent economy to an economy in which households face idiosyncratic uninsurable income risk the income process is consistent with empirical estimates and implies a realistic wealth distribution we find that capital tax cuts imply large welfare gains in the representative agent economy however when households are heterogeneous substantial redistribution during transition means that only a minority will support capital tax cuts whereas most households can expect large welfare losses

consumption inequality and family labor supply we examine the link between wage and consumption inequality using a life cycle model incorporating consumption and family labor supply decisions we derive analytical expressions for the dynamics of consumption hours and earnings of two earners in the presence of correlated wage shocks nonseparability progressive taxation and asset accumulation the model is estimated using panel data for hours earnings assets and consumption we focus on family labor supply as an insurance mechanism and find strong evidence of smoothing of permanent wage shocks once family labor supply assets and taxes are properly accounted for there is little evidence of additional insurance jel d12 d14 d91 j22 j31

income inequality in the united states 1913 1998 this paper presents new homogeneous series on top shares of income and wages from 1913 to 1998 in the united states using individual tax returns data top income and wages shares display a u shaped pattern over the century our series suggest that the large shocks that capital owners experienced during the great depression and world war ii have had a permanent effect on top capital incomes we argue that steep progressive income and estate taxation may have prevented large fortunes from fully recovering from these shocks top wage shares were flat before world war ii dropped precipitously during the war and did not start to recover before the late 1960s but are now higher than before world war ii as a result the working rich have replaced the rentiers at the top of the income distribution

accounting for the u s earnings and wealth inequality we show that a theory of earnings and wealth inequality based on the optimal choices of ex ante identical households that face uninsured idiosyncratic shocks to their endowments of efficiency labor units accounts for the u s earnings and wealth inequality almost exactly

a welfare analysis of social security in a dynastic framework in this article we study the welfare effects of unfunded social security in a general equilibrium model populated with overlapping generations of altruistic individuals that differ in lifetime expectancy and earnings ability contrary to previous research our results indicate that steady state welfare increases with social security for most households although by very different amounts this result is mainly due to two factors first the presence of two sided altruism significantly mitigates the crowding out effect of unfunded social security second ability shocks and uncertain lifetimes generate significant heterogeneity among households to yield different induced preferences for social security

the elasticity of taxable income with respect to marginal tax rates a critical review this paper critically surveys the large and growing literature estimating the elasticity of taxable income with respect to marginal tax rates using tax return data first we provide a theoretical framework showing under what assumptions this elasticity can be used as a sufficient statistic for efficiency and optimal tax analysis we discuss what other parameters should be estimated when the elasticity is not a sufficient statistic second we discuss conceptually the key issues that arise in the empirical estimation of the elasticity of taxable income using the example of the 1993 top individual income tax rate increase in the united states to illustrate those issues third we provide a critical discussion of selected empirical analyses of the elasticity of taxable income in light of the theoretical and empirical framework we laid out finally we discuss avenues for future research jel h24 h31 j22

what do we know about evolution of top wealth shares in the united states in piketty s 2014 prominent book capital in the twenty first century he argues that the concentration of wealth may become increasingly extreme in the future as piketty reminds us the group of rentiers people living off accumulated capital has been historically large and politically and socially influential because so much of large fortunes end up being inherited the current concentration of wealth is bound to predict at least weakly and perhaps strongly how important rentiers will be regardless of whether one buys into depictions such as the rentier enemy of democracy p 422 the extent to which the well off are going to rely on work versus rely on the returns to their wealth in the future is clearly important for assessing the extent to which a society will view itself as in some way a meritocracy given that the us economy has experienced rising inequality in its income and earning distributions for example piketty and saez 2003 or see the symposium on the top 1 percent in the summer 2013 issue of this journal one would expect that the distribution of wealth would follow a similar path however available evidence on this topic is much more scant and conflicting than that on income and earnings in fact when piketty 2014 reports direct estimates of wealth concentration for france the united kingdom sweden and the united states in chapter 10 of his book he finds as yet little evidence of dramatic increase in wealth concentration in any of these countries

risk uncertainty and the dynamics of inequality abstract the dynamics of wealth inequality are studied in a continuous time blanchard yaari model investment returns are idiosyncratic and subject to knightian uncertainty in response agents formulate robust portfolio policies these policies are nonhomothetic wealthy agents invest a higher fraction of their wealth in uncertain assets yielding higher mean returns this produces a feedback mechanism that amplifies inequality it also produces an accelerated rate of convergence which helps resolve a puzzle recently identified by gabaix et al 2016 an empirically plausible increase in uncertainty can account for about half of the recent increase in top wealth shares

wealth distribution and social mobility in the us a quantitative approach we quantitatively identify the factors that drive wealth dynamics in the united states and are consistent with its skewed cross sectional distribution and with social mobility we concentrate on three critical factors i skewed earnings ii differential saving rates across wealth levels and iii stochastic idiosyncratic returns to wealth all of these are fundamental for matching both distribution and mobility the stochastic process for returns which best fits the cross sectional distribution of wealth and social mobility in the united states shares several statistical properties with those of the returns to wealth uncovered by fagereng et al 2017 from tax records in norway

the macroeconomic implications of rising wage inequality in the united states in recent decades american workers have faced a rising college premium a narrowing gender gap and increasing wage volatility this paper explores the quantitative and welfare implications of these changes the framework is an incomplete markets life cycle model in which individuals choose education intrafamily time allocation and savings given the observed history of the u s wage structure the model replicates key trends in cross sectional inequality in hours worked earnings and consumption recent cohorts enjoy welfare gains on average as higher relative wages for college graduates and for women translate into higher educational attainment and a more even division of labor within the household

recreation economics taking stock a decade ago gum and martin 1975 recommended rearranging priorities in outdoor recreation research they urged deemphasis of recreation benefit estimation technique development and advocated instead concentrating on interpreting these estimates in studies of resource allocation four years later batie and shabman 1979 wrote economists have not established relative values for policies and inputs over which agencies have control e g habitat management and fish stocking and instead have focused research efforts on establishing values for recreational services p 931 they added that collectively economists have paid too little attention to the physical production and transformation linkages between public policies and recreation values p 931 just why the profession has failed to heed these admonitions is unclear we can only speculate why the tradition of recreation economics remains synonymous with benefit estimation or nonmarket valuation in this paper we explore plausible explanations and attempt to evaluate their legitimacy in a policyoriented context

top incomes in the long run of history a recent literature has constructed top income shares time series over the long run for more than twenty countries using income tax statistics top incomes represent a small share of the population but a very significant share of total income and total taxes paid hence aggregate economic growth per capita and gini inequality indexes are sensitive to excluding or including top incomes we discuss the estimation methods and issues that arise when constructing top income share series including income definition and comparability over time and across countries tax avoidance and tax evasion we provide a summary of the key empirical findings most countries experience a dramatic drop in top income shares in the first part of the twentieth century in general due to shocks to top capital incomes during the wars and depression shocks top income shares do not recover in the immediate postwar decades however over the last thirty years top income shares have increased substantially in english speaking countries and in india and china but not in continental european countries or japan this increase is due in part to an unprecedented surge in top wage incomes as a result wage income comprises a larger fraction of top incomes than in the past finally we discuss the theoretical and empirical models that have been proposed to account for the facts and the main questions that remain open

tax and education policy in a heterogeneous agent economy what levels of redistribution maximize growth and efficiency this paper studies the effects of progressive income taxes and education finance in a dynamic heterogeneous agent economy such redistributive policies entail distortions to labor supply and savings but also serve as partial substitutes for missing credit and insurance markets the resulting tradeoffs for growth and efficiency are explored both theoretically and quantitatively in a model that yields complete analytical solutions progressive education finance always leads to higher income growth than taxes and transfers but at the cost of lower insurance overall efficiency is assessed using a new measure that properly reflects aggregate resources and idiosyncratic risks but unlike a standard social welfare function does not reward equality per se simulations using empirical parameter estimates show that the efficiency costs and benefits of redistribution are generally of the same order of magnitude resulting in plausible values for the optimal rates aggregate income and aggregate welfare provide only crude lower and upper bounds around the true efficiency tradeoff

taxing top earners a human capital perspective we assess the consequences of substantially increasing the marginal tax rate on u s top earners using a human capital model we nd that 1 the peak of the model laer curve occurs at a 52 percent top tax rate 2 if human capital were exogenous then the top of the laer curve would occur at a 66 percent top tax rate and 3 applying the theory and methods that diamond and saez 2011 use to provide quantitative guidance for setting the top tax rate to model data produces a tax rate that substantially exceeds 52 percent

inequality and government debt evidence from oecd panel data abstract this paper analyzes how government debt can be caused by changes in the income distribution unlike azzimonti et al 2014 i distinguish between income inequality induced by differences in labor productivity and income inequality induced by differences in capital income utilizing the luxembourg income study using data for oecd countries an increase in labor income inequality leads to higher debt level whilst capital income inequality is negatively associated with debt

how progressive is the u s federal tax system a historical and international perspective this paper provides estimates of federal tax rates by income groups in the united states since 1960 with special emphasis on very top income groups we include individual and corporate income taxes payroll taxes and estate and gift taxes the progressivity of the u s federal tax system at the top of the income distribution has declined dramatically since the 1960s this dramatic drop in progressivity is due primarily to a drop in corporate taxes and in estate and gift taxes combined with a sharp change in the composition of top incomes away from capital income and toward labor income the sharp drop in statutory top marginal individual income tax rates has contributed only moderately to the decline in tax progressivity international comparisons confirm that is it critical to take into account other taxes than the individual income tax to properly assess the extent of overall tax progressivity both for time trends and for cross country comparisons the pattern for the united kingdom is similar to the u s pattern france had less progressive taxes than the united states or the united kingdom in 1970 but has experienced an increase in tax progressivity and has now a more progressive tax system than the united states or the united kingdom

wealth inequality family background and estate taxation this paper generates two main contributions first it provides a new theory of wealth inequality that merges two empirically relevant forces generating inequality bequest motives and inheritance of ability across generations and an earnings process that allows for more earnings risk for the richest second it uses the resulting calibrated framework to study the effects of changing estate taxation increasing the estate tax reduces the wealth concentration in the hands of the richest few and the economic advantage of being born to a rich and super rich family at the cost of reduced aggregate capital and output however all of these effects are quite small in contrast increasing estate taxation can generate a significant welfare gain to a newborn under the veil of ignorance but this comes at a large welfare cost for the super rich

the risk free rate in heterogeneous agent incomplete insurance economies abstract why has the average real risk free interest rate been less than one percent the question is motivated by the failure of a class of calibrated representative agent economies to explain the average return to equity and risk free debt i construct an economy where agents experience uninsurable idiosyncratic endowment shocks and smooth consumption by holding a risk free asset i calibrate the economy and characterize equilibria computationally with a borrowing constraint of one year s income the resulting risk free rate is more than one percent below the rate in the comparable representative agent economy

do energy scenarios pay sufficient attention to the environment lessons from the uk to support improved policy outcomes scenario development is widely used to support the formation of energy policy but many energy scenarios consider environmental interactions only in terms of climate change we suggest that efforts to develop more holistic energy pathways going beyond post hoc analysis of environmental and social implications can usefully draw on environmental scenarios a detailed content analysis of uk energy and environmental scenarios was therefore undertaken with energy scenarios selected on the basis that they were recent had a direct link to energy policy and covered a range of scenario types the energy scenarios rarely considered societal drivers beyond decarbonisation and focused on quantifiable parameters such as gdp while the environmental scenarios provided a richer narrative on human behaviour and social change as socio economic issues remain fundamental to the success of energy policies this is a key area which should be better addressed within energy scenarios the environmental impacts of energy scenarios were rarely considered but could have a significant bearing on the likelihood of pathway outcomes being realised fuller evaluation of the environmental interactions of energy systems is therefore required although the analysis focuses on the uk some international scenarios show similar limitations suggesting that the conclusions are more widely applicable