THE RISK‐FREE RATE IN A FINITE HORIZON MODEL WITH BEQUESTS

This paper studies the risk‐free rate in an overlapping generations economy with bequests. It is shown that the risk‐free rate depends on risk aversion, the elasticity of intertemporal substitution, the share of wealth invested in human wealth, life expectancy, and the preference for bequests. In a standard life‐cycle context, mortality increases the subjective time rate of discount, and thus increases the compensation required to postpone consumption. This latter effect is offset in a bequest‐driven model of the type considered here, leading to much more powerful income effects. In this sense, the model provides a bequest‐motive explanation for the risk‐free rate puzzle put forward by Weil in 1989.     

Capital Income Taxation,Economic Growth and Heterogeneity in the Motivation to Give

This study provides a comprehensive analysis of the relationship between capital income taxation and economic growth within an overlapping generations model when individuals may bequeath wealth. The altruistic concern is modeled as a synthesis of joy‐of‐giving and family altruism so that individuals may derive utility from the amount of bequest itself and by providing children with a disposable income later on in life. Using this framework, it is shown that, in contrast to the existing literature, increasing the capital income tax rate may well enhance growth under operative bequests.     

Bequests,taxation and the distribution of wealth in a general equilibrium model

This paper examines the role of bequests and of taxation on bequests for the distribution of wealth. We investigate a model with overlapping generations and heterogenous households where parents derive utility directly from their bequests. We obtain all results analytically. Using the coefficient of variation as the measure of inequality, bequests per se diminish the inequality of wealth since they raise private savings and hence average wealth holdings more than the variance of wealth. From a policy perspective, taxing bequests and redistributing government revenue lump-sum among the young generation further decreases wealth inequality.     

Taxation, Bequests, and Short and Long Run Timber Supplies: An Overlapping Generations Problem

This paper uses an overlapping generations model with one-sided altruism to study the effects of several forest taxes that target bequests and affect timber supply. Unlike previous work, we investigate bequests and timber supply in both the short and long run when bequests are costly (e.g., taxed). The landowner's problem is examined in the short run, while the government's problem is examined in the long run assuming the existence of a steady state. We also consider taxes targeting harvests, growth, savings and bequests. Several new results are established concerning the interactions of taxes that might be used by a government to alter short and long run forest capital stocks: (i) the presence of a forest bequest tax affects the neutrality of harvest tax in both the short and long run, (ii) in the long run the bequest tax decreases bequests and timber supplies. When the bequest tax is not present, the capital income tax is neutral with respect to bequest and timber supply, while the harvest tax is neutral only if forest productivity is also not taxed. Finally, (iii) in the short run, the substitution and total effects of taxes in landowner decisions generally depend on the presence of the bequest tax. The results have implications for Pigouvian tax design and second best tax choice.     

Effects of Aspirations and Habits on the Distribution of Wealth

We analyze how the introduction of habits and aspirations affects the distribution of wealth when the labor productivity of individuals is subject to idiosyncratic shocks and when bequests arise from a joy‐of‐giving motive. In the presence of either bequests or aspirations, labor income shocks are transmitted intergenerationally, and this transmission, together with contemporaneous shocks, determines the distribution of wealth. We show that the introduction of aspirations (habits) decreases (increases) the average wealth, and increases (decreases) both its intragenerational variability and the degree of intergenerational mobility. Therefore, a distinction between aspirations and habits is relevant because they involve different implications for the distribution of wealth.     

Social status pursuit,distribution of bequests and inequality

The quest for social status modifies lifetime decisions and as a consequence, the trajectory of the overall economy. Focusing on the relative wealth dimension of social status, we build a two-period overlapping generations model with heterogeneous agents to investigate the effects of status quest on the evolution of bequest distribution and household inequality. We show that the bequest motive and the concern for social status not only increase the stationary level of capital but also enhance the household equality.     

Wealth Inequality and Intergenerational Links

Previous work has had difficulty generating household saving behaviour that makes the distribution of wealth much more concentrated than that of labour earnings, and that makes the richest households hold onto large amounts of wealth, even during very old age. I construct a quantitative, general equilibrium, overlapping-generations model in which parents and children are linked by accidental and voluntary bequests and by earnings ability. I show that voluntary bequests can explain the emergence of large estates, while accidental bequests alone cannot, and that adding earnings persistence within families increases wealth concentration even more. I also show that the introduction of a bequest motive generates lifetime savings profiles more consistent with the data.     

Estate taxes, consumption externalities, and altruism

We study how the introduction of consumption externalities affects the optimality of the dynamic equilibrium in an economy displaying dynastic altruism. When the bequest motive is inoperative consumption externalities affect the intertemporal margin between young and old consumption and thus modify the intertemporal path of aggregate consumption and capital. The optimal tax policy that solves this intertemporal suboptimality consists of a tax on capital income and a pay-as-you-go social security system. The latter solves the excess of capital accumulation due to the inoperativeness of the bequest motive and the former solves the suboptimal allocation of consumption due to consumption externalities. When the bequest motive is operative consumption externalities only cause an intratemporal misallocation of consumption but do not affect the optimality of the capital stock level. This suboptimal allocation of consumption implies in turn that the path of bequest deviates also from optimality. The optimal tax policy in this case consists of an estate tax and a capital income tax.     

The consumption tax in the presence of altruistic cash and human capital bequests with endogenous fertility decisions

We provide an analysis of the consumption tax policy in the presence of cash bequests, human capital investments in children, and endogenous fertility decisions. It is shown that the consumption tax is no longer neutral if the tax rate is constant over the taxpayer's life cycle, labor supply is exogenous, and the parent expects the offspring to pay the same tax rate, if the number of children is chosen optimally by the parent. Neutrality breaks down because the shadow prices of both bequests and fertility are interlinked; it is more expensive to produce a child the larger either bequest is and it is more expensive to make a bequest of either type to each child the larger the number of children produced. Several examples are provided where imposing the consumption tax induces an increase in the number of children produced and a decrease in net capital formation.     

Distributional consequences of asset price inflation in the Euro Area

We study the distributional consequences of housing price, bond price and equity price increases for Euro Area households using data from the Household Finance and Consumption Survey (HFCS). The capital gains from bond price and equity price increases turn out to be concentrated among relatively few households, while the median household strongly benefits from housing price increases. The capital gains from bond price increases (relative to household net wealth) do not correlate with household net wealth (or income). Bond price increases thus leave net wealth inequality largely unchanged. In contrast, equity price increases largely benefit the top end of the net wealth (and income) distribution, thus amplify net wealth inequality. Housing price increases display a hump shaped pattern over the net wealth distribution, with the poorest and richest households benefitting least, but there exists considerable heterogeneity across Euro Area countries. The ECB's OMT announcements over the summer of 2012 had quantitatively similar distributional implications as an unexpected loosening of the policy rate by about 175 basis points.     

Stochastic dominance and thick-tailed wealth distributions

Right-skewed and thick-tailed wealth distributions have been documented as an empirical regularity across space and time. A key mechanism for explaining these distributional features is proportional random growth. We investigate the comparative statics of a well-defined class of random growth models when allowing for stochastically ordered shifts in the wealth return process. An order-contingent monotone comparative statics property is identified, according to which pure increases in risk (e.g. higher volatility of capital returns) foster top wealth concentration whereas first-order stochastically dominated shifts in the return process (induced by e.g. proportional capital income taxation) rather lower inequality at the upper end of the distribution. Our analysis points to the potentially ambiguous effects on top wealth inequality of introducing or modifying capital income tax treatments in the presence of stochastic returns.     

Estimating the marginal propensity to consume using the distributions of income,consumption, and wealth

Studies of economic inequality almost always separately examine income, consumption, and wealth inequality, and hence, miss the important synergy amongst the three measures explicit in the life-cycle budget constraint. These joint distributions, however, are important in evaluating macroeconomic impacts of changes in income because the response may differ across the wealth distribution. This heterogeneity in the response to income changes can have significant impact on the effectiveness of government fiscal policy. Using the Panel Study of Income Dynamics from 1999–2013, we examine how the marginal propensity to consume (MPC) differs across the wealth distribution. We find that the MPC is lower at higher wealth quintiles, indicating that low wealth households cannot smooth consumption as much as other households. This implies that increasing wealth inequality likely reduces aggregate consumption, which, in turn, could limit economic growth.     

Heterogeneity in Ability and Inheritance,Disparities, and Development

This paper investigates the impact of income inequality on economic growth. A two-period overlapping generations model is developed where agents are heterogeneous in innate abilities and inheritance. In the first period, they receive their inheritance and their abilities are revealed. There are only two types of abilities: high and low. Individuals decide on their education level, and divide their inheritance between spending on education and saving. In the second period, individuals supply their labor and allocate the labor income and the return to their saving between consumption and bequests to their offsprings. Initial capital stock is owned entirely by the capitalists. In this context, a more equal distribution of income enhances economic growth if the economy is lower than a threshold capital-labor ratio, while income inequality has an insignificant effect above this threshold. The predictions of the model are tested empirically using the Hansen (1999) threshold estimation. The results, using a panel of 70 countries for the period 1971-1999, suggest that there is a statistically significant threshold income per capita, below which the coefficient on the relationship between inequality and economic growth is significantly negative and above which the estimate is not significant.     

How much does schooling disutility matter?

Studies on structural education choice models are often inconsistent in choosing whether and how to include a disutility of education, especially in an environment with risk and wealth inequality. We show that adding a disutility term to the education decision, a human capital investment option, is equivalent to assuming a relationship between wealth, risk, and education. Utility gain from education is increasing in the riskiness of future consumption. A riskier environment further propels an agent to choose the human capital investment option that maximizes future income. If the degree of risk increases heterogeneously across multiple human capital investment options, risk aversion and the precautionary savings motive can compound or negate each other depending on which option has a greater increase in risk.     

Stochastic optimization applied to self-financing portfolio: does bequest matter?

The article studies stochastic optimization of an intertemporal consumption model to allocate financial assets between risky and risk-free assets. We use a stochastic optimization technique, in which utility is maximized subject to a self-financing portfolio constraint. The papers in literature have estimated the errors of Euler equations using data from financial markets. It has been shown that it is sufficient to test the first order Euler equation implied by the model. However, they all assume a constant consumption–wealth ratio that constrains the boundary conditions, hence influencing the coefficient of the risk premium. The main contribution of our article is that we drop the assumption of a constant consumption–wealth ratio. We have an analytical solution using a utility maximization model with a stochastic self-financing portfolio. We introduce a terminal condition of wealth with and without bequests. We also simulate the stochastic optimization with a self-financing portfolio, distinguishing risk neutral investors (γ-low) from high risk averse investors (γ-high). We show that the model with bequest has a higher level of wealth and a smoother decline of consumption over time than the model with no bequest at the end of the period. The model with no bequest has the same level of consumption and a sharp fall at the end of the period. Risk averse agents with high return assets have a higher amount of wealth than risk-neutral agents with lower return assets.     

IDIOSYNCRATIC AND AGGREGATE RISKS,INEQUALITY AND GROWTH

The paper disaggregates productivity shocks at a firm level into idiosyncratic and aggregate risks, and studies their impacts on inequality, growth and welfare. It develops a growth model with human capital and incomplete insurance and credit markets that provides a closed‐form solution for income inequality dynamics. We find that uninsured idiosyncratic risks are the most important determinants of inequality, growth and welfare. They are the source of nondegenerate wealth distribution. A lower weight of these shocks leads to lower steady‐state inequality, higher growth and welfare. A redistribution of income that serves as social insurance against such risks increases welfare and decreases inequality. But, it also decreases growth by distorting individual consumption and saving decisions.     

THE VANISHING BEQUEST TAX: THE COMPARATIVE EVOLUTION OF BEQUEST TAXATION IN HISTORICAL PERSPECTIVE

Bequest tax revenues have been declining in OECD countries for at least 70 years. We propose an explanation that is based on a dynamic politico‐economic model where the evolution of bequest taxation is determined by wealth inequality. Since economic development induces a growing role of labor income and thus a reduction of wealth inequality, bequest taxation is reduced over time. The model also embeds a process of structural reallocation from agriculture to manufacturing and a consequent shift of the tax base from easy‐to‐tax land to hard‐to‐tax capital. This process implies a lower tax level and slower equalization‐induced tax reduction, the higher is the tax avoidance rate and the less developed is the economy. The introduction of franchise restrictions which are gradually lifted over time allows the hump‐shaped long‐term evolution of bequest taxation to be reproduced starting from the nineteenth century for those countries that are now modern industrial democracies. The evolution of political institutions also helps to explain the discrepancies currently observed between tax systems in developed and underdeveloped countries.     

The Evolution of Income Composition Inequality in Italy, 1989–2016

We study the evolution of inequality in income composition in terms of capital and labor income in Italy between 1989 and 2016. We document a rise in the share of capital income accruing to the bottom of the distribution, while the top of the distribution increases its share of labor income. This implies a falling degree of income composition inequality in the period considered and a weaker relationship between the functional and personal distribution of income in Italy. This result is robust to various specifications of self-employment income; nonetheless, it hinges crucially on the treatment of rental incomes. While the dynamics of imputed rents has brought about a more equitable distribution of capital incomes across the income distribution, that of actual rents has led to higher concentration of capital incomes at the top in the decade preceding the outbreak of the financial crisis. Finally, we conceptualize a rule of thumb for policy makers seeking to reduce income inequality in the long run.     

Labor or consumption taxes? An application with a dynamic general equilibrium model with heterogeneous agents

This study analyzes the effects of tax reform that shifts tax burden from labor to consumption. In this context, I also deal with the issue of progressivity. Even though this kind of tax policy change has recently gained popularity, its positive effects are debatable while the offsetting effect of a consumption tax on labor supply makes the net output change rather ambiguous. I examine these effects using a dynamic general equilibrium model with heterogeneous agents. The model is calibrated to fit certain characteristics of the Finnish economy. In addition to output and employment effects, I study the tax reform's effect on income and wealth distribution. First, I find that eliminating progressivity in labor taxation increases output via increase in capital accumulation that comes, however, in expense of slightly more inequality. Then, tax reform that replaces progressive labor taxes with a flat-rate consumption tax leads to a significant rise in capital accumulation, a negligible change in labor supply and gross labor income distribution, but a relatively considerable increase in wealth concentration.     

Income inequality, consumption, and social-status seeking

Using the Chinese Urban Household Survey data between 1997 and 2006, we find that income inequality has a negative (positive) effect on household consumption net of education expenditures (savings) even after we control for household income. We argue that people save to improve their social status when social status is associated with pecuniary and non-pecuniary benefits. Rising income inequality can strengthen the incentives of status-seeking savings by increasing the benefit of improving status, and by enlarging the wealth level required for status upgrading. We also find that the negative effect of income inequality on consumption is stronger for poorer and younger people and that income inequality stimulates more education investment, which are consistent with the status-seeking hypothesis.