Decomposing Inequality Changes: Allowing for Leisure in the Evaluation of Tax and Transfer Policy Effects

In this paper, we present two alternative methods of accounting for changes in leisure time in decomposing the inequality effects of tax and transfer policy changes. Three components are identified: tax policy, labour supply responses to tax policy changes and other population effects. The methods are used to decompose inequality changes in Australia between 2001 and 2006. Inequality is first defined in non‐welfarist terms as a function of disposable income: the independent judge places no value on leisure. Then, this is modified to allow for evaluations using a weighted geometric mean of disposable income and leisure. This is seen to modify the evaluation of changes in important ways. The results are found to differ from those obtained using a ‘welfarist’ evaluation in terms of money metric utility, where separate labour supply effects cannot be isolated.     

Targeted savings and labor supply

Substantial evidence suggests that savings behavior may depart from neoclassical optimization. This article examines the implications of raising the savings rate—whether through social security, retirement plans, or otherwise—for labor supply, where labor supply is determined by behavioral utility functions that reflect the non-neoclassical character of savings behavior. Under one formulation, raising the targeted savings rate increases labor supply regardless of the slope of the labor supply curve; under a second, raising the targeted savings rate has the same effect on labor supply as that of raising the labor income tax rate; and under a third, raising the targeted savings rate has no effect on labor supply. Effects on labor supply are particularly consequential because of the significant preexisting distortion due to labor income taxation.     

Nonseparable Preferences,Frisch Labor Supply,and the Consumption Multiplier of Government Spending: One Solution to a Fiscal Policy Puzzle

This paper proposes a theoretical explanation of the positive consumption multipliers of government spending often found in the data. The explanation requires two ingredients. First, labor demand expands (e.g., prices are sticky). Second, general nonseparable preferences over consumption and leisure should be such that the two goods are substitutes; that is, Frisch labor supply elasticity is lower than the constant‐consumption elasticity; this implies that constant‐consumption labor supply shifts left. Existing empirical evidence on the relative magnitudes of the two elasticities supports this hypothesis. The parametric conditions under which the result occurs are consistent with restrictions of concavity and noninferiority of consumption and leisure.     

Social welfare effects of tax-benefit reform under endogenous participation and unemployment: an ordinal approach

This paper analyzes the social welfare effects of tax-benefit reforms in a framework integrating endogenous labor supply and unemployment. We adopt an ordinal approach to social welfare comparisons by searching for “socially desirable” reforms that would improve social welfare for an entire class of social welfare functions. In the model, there is a discrete distribution of individuals’ productivities and individuals are heterogeneous with respect to leisure preferences (or disability of work). Labor supply decisions are limited to the participation decision. Unemployment is modeled in a search and matching framework with individual wage bargaining. For the social welfare analysis, the model is calibrated for Switzerland. Starting from a situation with an unemployment benefit scheme, the introduction of in-work benefits is shown to be a “socially desirable” reform: it would be unanimously preferred to the current situation according to all social welfare functions based on the criteria of Pareto, anonymity, and the principle of transfers. This result holds for two different types of preference heterogeneity (leisure preferences or disability of work) and also for the case where job search effort cannot be monitored.     

Assessing the welfare change from a pension reform

We study the welfare implications of a hypothetical reform of the Swedish public pension system where eligibility to pension benefits is delayed by 3 years. Using an option value model, we consider the labor supply responses to the reform and develop a compensating variation (CV) measure to analytically assess the individual welfare changes in a random utility framework. We find that a purely budgetary calculation (neglecting individual labor supply responses) overestimates the welfare loss by more than 65%. We also develop a method for testing between a binary and a multinomial option value model, where the binary one is nested in the multinomial model in a Generalized Extreme Value (GEV) model framework. The binary model cannot be rejected.     

DEEP sleep: The impact of sleep on financial risk taking

In this paper, we examine the relationship between sleep and financial risk taking. The results indicate that individuals who have better sleep display less distortion of probability, are less susceptible to the present bias, and have a lower discounting rate. Specifically, individuals with better self‐reported sleep quality have less distortion of probability, a more curved utility function, and are less loss averse, while those with fewer sleep disturbances display less probability distortion and have more curvature in their utility function. Overall, the results show that there are cognitive deficits in financial decision making by having poor sleep habits that can have important consequences.     

Taxes, benefits, and careers: Complete versus incomplete markets

An incomplete-market life-cycle model with indivisible labor makes career lengths and human capital accumulation respond to labor tax rates and government supplied non-employment benefits. We compare aggregate and individual outcomes in this individualistic incomplete-market model with those in a comparable collectivist representative-family model with employment lotteries and complete-insurance markets. The incomplete- and complete-market structures assign leisure to different types of individuals who are distinguished by their human capital and age. These microeconomic differences distinguish the two models in terms of how macroeconomic aggregates respond to some types of government supplied non-employment benefits, but remarkably, not to labor tax changes.     

Second-best tax policy and natural resource management in growing economies

This paper investigates the exploitation of natural resources in a growing economy within a second-best fiscal policy framework. Agents derive utility from two types of consumption goods—one which relies on a natural resource input and one which does not—as well as from leisure and from natural resource amenity values. We connect second best policy to essential components of utility by considering the elasticity of substitution among each of the four utility arguments. The results illustrate potentially important relationships between amenity values and leisure. When amenity values are complementary with leisure, for instance when natural resources are used for recreation, optimal taxes on goods produced with natural resources generally increase over time. On the other hand, optimal taxes on goods produced from natural resources generally decrease over time when leisure and amenity values are substitutes. Under some parameterizations, complex dynamics leading to non-monotonic time paths can emerge.     

Inflation Taxation and Welfare with Externalities and Leisure

This paper examines how inflation taxation affects resource allocation and welfare in a neoclassical growth model with leisure, a production externality and money in the utility function. Switching from consumption taxation to inflation taxation to finance government spending reduces real money balances relative to income, but increases consumption, labor, capital, and output. The net welfare effect of this switch depends crucially on the strength of the externality and on the elasticity of intertemporal substitution. While it is always negative without the externality, it is likely to be positive with a strong externality and elastic intertemporal substitution.     

Understanding European unemployment with a representative family model

A representative family model with indivisible labor and employment lotteries has no labor market frictions and complete markets. Nevertheless, its aggregate responses to an increase in government supplied unemployment insurance (UI) and to an increase in microeconomic turbulence are qualitatively similar to those in two macromodels with labor market frictions and incomplete markets, namely, the matching and search-island models in Ljungqvist and Sargent [2007a. Understanding European unemployment with matching and search-island models. Journal of Monetary Economics, this issue]. Because there is no frictional unemployment in the representative family model, an increase in employment protection (EP) decreases aggregate work because the representative family substitutes leisure for work, an effect opposite to what occurs in matching and search-island models. Heterogeneity among workers highlights the economy-wide coordination in labor supply and consumption sharing that employment lotteries and complete markets achieve in the representative family model. A high disutility of labor makes generous UI cause very low employment levels.     

Intersectoral Labor Immobility,Sectoral Comovement,and News Shocks

Sectoral comovement of output and hours worked is a prominent feature of business cycle data. However, most two‐sector neoclassical models fail to generate this sectoral comovement. We construct and estimate a two‐sector neoclassical Dynamic Stochastic General Equilibrium (DGSE) model generating sectoral comovement in response to both anticipated and unanticipated shocks. The key to our model's success is a significant degree of intersectoral labor immobility, which we estimate using data on sectoral hours worked. Furthermore, we demonstrate that imperfect intersectoral labor mobility provides a better explanation for the sectoral comovement than an alternative model emphasizing the role of labor‐supply wealth effects.     

Portfolio theory,job choice and the equilibrium structure of expected wages

This paper presents some of the implications of modern portfolio theory for the equilibrium structure of wages under conditions of uncertainty. The primary model presented is a model of wage uncertainty and hence the equilibrium structure is derived in terms of expected wages. The equilibrium structure with the assumption of a perfect labor market (e.g., labor units are infinitely divisible and costlessly mobile) and a perfect capital market is shown to have a very simple linear form. The model assumes homogeneous labor units as well as the usual single-period capital asset pricing model assumptions.     

Multivariate risk aversion and uninsurable risks: Theory and applications

The objective of this paper is to develop conditions for global multivariate comparative risk aversion in the presence of uninsurable, or background, risks, and thus generalize Kihlstrom and Mirman [1974] and Karni [1979,1989]. We analyze von Neumann-Morgenstern (VNM) utility functionsas well as smooth preference functionals which are nonlinear in distribution but locally linear in probabilities. In each case we provide an economic application which illustrates how our theorems can be used. We analyze a risk sharing, a portfolio choice, and a labor supply problem for VNM utility functions, and the optimal allocation of effort to risky technologies in the presence of a random supply (or quality) of a public good for nonlinear preference functionals. We consider thecase where the random variables are mean-independent as well as the case where they are independent. In the labor supply application for VNM utility functions, we show that if the two risks are independent, the comparative statics effect of greater risk aversion on labor supply in the presence of a background non-wage income risk is determined by a monotonic relationship between labor supply and the wage rate under certainty. That is, we extend the applicability of the Diamond-Stiglitz [1974]-Kihlstrom-Mirman [1974]single-crossing property to the case where an independent background risk is present.     

Fixed‐ and Variable‐Rate Mortgages,Business Cycles,and Monetary Policy

This paper studies how the proportion of fixed‐ and variable‐rate mortgages affects business cycles and welfare. I develop and solve a New Keynesian dynamic stochastic general equilibrium model with a housing market and a group of constrained individuals who need housing collateral to obtain loans. The model predicts that with mostly variable‐rate mortgages, an exogenous interest rate shock has larger effects on borrowers than in a fixed‐rate economy. For plausible parameterizations, aggregate differences are muted by wealth effects on labor supply and by the presence of savers. For given monetary policy, a high proportion of fixed‐rate mortgages is welfare enhancing.     

The spirit of capitalism among the income classes

This paper tests the consumption-based capital asset model within the context of the spirit of capitalism. The spirit of capitalism asserts that consumers gain utility not just from consumption of goods and services, but also from the social status obtained from wealth. We examine two asset pricing models developed by Bakshi and Chen (1996) that employ wealth in the utility function, for households sorted by income quintiles. In the first model, households obtain utility from both consumption and the social status that comes from their own wealth. In the second model, households gain utility from both consumption and the social status obtained from their own wealth relative to the wealth of other peer households. Our results indicate that both models are inconsistent with the data regardless of income. However, using cointegration methods as a diagnostic tool, we find that the data are “loosely” consistent with the spirit of capitalism, at least for the upper income quintiles.     

Reward–risk portfolio selection and stochastic dominance

The portfolio selection problem is traditionally modelled by two different approaches. The first one is based on an axiomatic model of risk-averse preferences, where decision makers are assumed to possess a utility function and the portfolio choice consists in maximizing the expected utility over the set of feasible portfolios. The second approach, first proposed by Markowitz is very intuitive and reduces the portfolio choice to a set of two criteria, reward and risk, with possible tradeoff analysis. Usually the reward–risk model is not consistent with the first approach, even when the decision is independent from the specific form of the risk-averse expected utility function, i.e. when one investment dominates another one by second-order stochastic dominance. In this paper we generalize the reward–risk model for portfolio selection. We define reward measures and risk measures by giving a set of properties these measures should satisfy. One of these properties will be the consistency with second-order stochastic dominance, to obtain a link with the expected utility portfolio selection. We characterize reward and risk measures and we discuss the implication for portfolio selection.     

On taxing capital income with income shifting

We examine a linear capital income tax and a nonlinear labor income tax in a two-type model where individuals live for two periods. We assume that taxes are paid only in the second period in which the agents receive both labor and capital income and may shift income from labor to capital. The two types of individuals may differ with respect to wage rate and initial resource endowments. In the absence of income shifting, endowment variation motivates a capital income tax which would not exist where there is pure wage rate variation. In the latter circumstance, income shifting would indeed establish a case for a capital income tax while adding variation in resource endowments would ambiguously affect the case. The asymmetric information case for a capital income tax must be traded off against distortionary effects not only on savings, but also on labor as an agent may earn labor income which is reported and taxed as capital income.      

Investor sentiment‐styled index in index futures market

In this paper, we define and analyze the sentiment‐styled index for the CSI 300 index futures in the Chinese futures market. Our sentiment‐styled index for the CSI 300 index futures from April 16, 2010 to April 30, 2019 is constructed by the first and second principal component analyses, rather than only by the first principal component analysis used in the Baker and Wurgler (Journal of Finance 61(4): 1645–1680, 2006) method. The sentiment‐styled index explains 78.38% of the sample variance. The vector error correction model is adapted to study the dynamics of cointegration of the sentiment‐styled index and the logarithmic futures price. We use the GARCH‐DCC model to illustrate the spillover effect between the sentiment‐styled index and the Chinese futures market. We show that this investor sentiment‐styled index does have the price discovery from the Granger causality and common factor weights and the hedging function from the Baba–Engle–Kraft–Kroner model empirically; furthermore, we use the curvature term of the sentiment‐styled index to determine the multiple unit roots. More empirical results for the sentiment‐styled index of the Chinese stock market, the sentiment‐styled index of the CSI 300 index futures, and the return of the CSI 300 index futures market are studied in this paper.     

The Impact of Regret on the Demand for Insurance

We examine optimal insurance purchase decisions of individuals that exhibit behavior consistent with Regret Theory. Our model incorporates a utility function that assigns a disutility to outcomes that are ex post suboptimal, and predicts that individuals with regret‐theoretical preferences adjust away from the extremes of full insurance and no insurance coverage. This prediction holds for both coinsurance and deductible contracts, and can explain the frequently observed preferences for low deductibles in markets for personal insurance.     

On the design of an optimal non-linear tax/pension system with habit formation

We study the optimal tax/pension design in a two-period model where individuals differ in both productivity and discount rates or projection bias and where their utility of the retirement period consumption is not independent of the earlier standard of living. We consider both welfarist and paternalistic social objectives. The paternalistic government attempts to correct the projection bias by using a higher discount factor. We derive general mathematical expressions that characterize optimal tax/pension design (marginal tax/subsidy rates). They suggest that the pattern of marginal labor income taxes depends on habit formation. Negative marginal labor income tax rates are possible. To gain a better understanding, we examine numerically the properties of an optimal lifetime redistribution policy with habit formation. We find support for non-linear tax/pension program in which some types of individuals are taxed while some are subsidized. The effect of changes in the degree of habit formation is explored in the numerical simulations as well as the implications of different degrees of correlation between skill and projection bias.