Income Redistribution in an Economic Union: The Trade Off Between Inter- and Intra-National Redistribution

This paper studies the design of redistributive policiesbetween and within the member countries of an economic union.There are two types of countries, which differ in their proportionof high income individuals. Both the supra-national and the nationalgovernments attempt to redistribute income within their respectiveboundaries. However, the central government cannot observe anindividual countrys ability to pay; it only observes the aggregate(internal) redistributive effort of each country. We derive theoptimal incentive compatible tax-transfer policy of the centralgovernment and show that there is a tradeoff between inter- andintra-national redistribution. Specifically, to reduce informationalrents of the rich countries, the optimal policy induces a distortionin the poor countries (internal) redistributive policies. Interestingly,both insufficient as well as excessive redistribution can arise.     

Economic Effects of the 2003 Partial Integration Proposal in the United States

On January 7, 2003, President George W. Bush proposed a significant change in capital income taxation in the United States. In the context of a jobs and growth package, the President proposed to reduce substantially the double taxation of corporate-source income by eliminating investor-level taxes on dividends paid from earnings on which corporate tax had been paid. In addition, the Presidents proposal would have reduced the tax on retained earnings by allowing a basis adjustment for accumulated previously taxed retained earnings. Taken together, these proposals would have moved the U.S. income tax much closer to an integrated tax system along the lines outlined by the Treasury Department in President George H.W. Bushs administration a decade earlier.Putting together the impacts of the Presidents proposal on economic activity through greater capital accumulation and improved calculation, I estimate that the proposal, if it had been enacted in its original form, would yield a permanent increase of 0.48 percent in the U.S. economys potential output. This estimated gain does not include any gains made possible by improved corporate financial policy.At the time of the integration proposal, the author was Chairman of the Council of Economic Advisers.     

Nonparametric prediction for the time-dependent volatility of the security price

In this paper we consider a continuous time model for the security price with the time-dependent volatility. It is shown that the non-normality and non-linear dependency of the short-term return, the major characteristics observed on many financial assets, can be incorporated into our model. In order to evaluate the option price formula on the model we propose a nonparametric predictor for the volatility function without reference to a specific functional form. We examine the so-called continuous record asymptotics and show that the proposed predictor is asymptotically minimax for a wide class of the volatility functions. One of the most important results is that the application of the Black-Scholes method can be justified by plugging the proposed predictor in the standard Black-Scholes formula even if the volatility changes over time.     

Interregional redistribution through tax surcharge

The paper considers a utilitarian federal government that levies a tax to finance a national public good or to effect a redistributive policy. Regions differ in their incomes and in their preferences for a local public good. First, we assume that the central government observes each region's public expenditures (and, hence, local tax revenues) but cannot perfectly observe revenues and preferences. We derive the (constrained) Pareto-efficient allocation and show how it can be implemented by a surcharge on local taxes. The level of redistribution that can be achieved is limited by the fact that it may be difficult, or even impossible, to distinguish low-income regions with a high preference for the public good from high-income regions with a low preference. Then we allow for the possibility that the central government can observe incomes through a costly audit. We examine the optimal audit policy and study the impact of audits on the optimal taxation scheme. Throughout the paper we focus on the properties of average and marginal tax rates and on the resulting under- or overprovision of regional public goods.     

Optimal Consumption Taxes and Social Security Under Tax Measurement Problems and Uncertainty

A representative individual lives for two periods; works when young and depends on savings and a government operated social security system when old—the returns on both sources of income, when old, are random. Due to administrative problems the returns to savings are observed with some measurement error. Two alternative consumption tax systems are considered; the Registered Asset Treatment (RAT) and the Non-Registered Asset Treatment (NRAT). The advantage of the RAT is that it can perform a social insurance role while the disadvantage is that it imposes measurement error risk. Correlation between the random return on saving and its measurement error can provide a risk-hedging role that can be further strengthened by the RAT version. The NRAT version neither provides social insurance nor imposes measurement error risk. Both tax systems hedge against the uncertainties in the social security system. The taxpayer engages in precautionary saving in response to future uncertainty.     

Determinants of stock market volatility and risk premia

Summary. We show the dynamics of diverse beliefs is the primary propagation mechanism of volatility in asset markets. Hence, we treat the characteristics of the market beliefs as a primary, primitive, explanation of market volatility. We study an economy with stock and riskless bond markets and formulate a financial equilibrium model with diverse and time varying beliefs. Agents states of belief play a key role in the market, requiring an endogenous expansion of the state space. To forecast prices agents must forecast market states of belief which are beliefs of others hence our equilibrium embodies the Keynes Beauty Contest. A market state of belief is a vector which uniquely identifies the distribution of conditional probabilities of agents. Restricting beliefs to satisfy the rationality principle of Rational Belief (see Kurz, 1994, 1997) our economy replicates well the empirical record of the (i) moments of the price/dividend ratio, risky stock return, riskless interest rate and the equity premium; (ii) Sharpe ratio and the correlation between risky returns and consumption growth; (iii) predictability of stock returns and price/dividend ratio as expressed by: (I) Variance Ratio statistic for long lags, (II) autocorrelation of these variables, and (III) mean reversion of the risky returns and the predictive power of the price/dividend ratio. Also, our model explains the presence of stochastic volatility in asset prices and returns. Two properties of beliefs drive market volatility: (i) rationalizable over confidence implying belief densities with fat tails, and (ii) rationalizable asymmetry in frequencies of bull or bear states.This research was supported by a grant of the Smith Richardson Foundation to the Stanford Institute for Economic Policy Research (SIEPR). We thank Kenneth Judd for constant advice which was crucial at several points in the development of this work. We also thank Kenneth Arrow, Min Fan, Michael Magill, Carsten Nielsen, Manuel Santos, Nicholas Yannelis, Ho-Mou Wu and Woody Brock for comments on earlier drafts. The RBE model developed in this paper and the associated programs used to compute it are available to the public on Mordecai Kurzs web page at http://www.stanford.edu/ mordecai.This revised version was published online in January 2005 with corrections to the Cover date.     

Company Tax Structure and Company Tax Incidence

This paper reviews conflicting theories of company tax incidence impliedby the alternative new and traditional views of dividends andexamines their contrasting policy implications. Whereas, under thetraditional view, closer integration of the corporate and personalincome tax systems is suggested, an alternative policy orientationemphasizing the non-distorting features of the classical system is impliedby the new view. Even if the traditional view is accepted, theimplications for design and reform of the company tax vary widely underalternative specifications of domestic and international tax policy objectives. Schedular alternatives to global income taxation are alsoconsidered.     

Parallel cartoons of fractal models of finance

Summary. Having been crafted to welcome a new scientific journal, this paper looks forward but requires no special prerequisite. The argument builds on a technical wrinkle (used earlier but explained here fully for the first time), namely, the authors grid-bound variant of Brownian motion B(t). While B(t) itself is additive, this variant is a multiplicative recursive process the author calls a cartoon. Reliance on this and related cartoons allows a new perspicuous exposition of the various fractal/multifractal models for the variation of financial prices. These illustrations do not claim to represent reality in its full detail, but suffice to imitate and bring out its principal features, namely, long tailedness, long dependence, and clustering. The goal is to convince the reader that the fractals/multifractals are not an exotic technical nightmare that could be avoided. In fact, the authors models arose successively as proper, natural, and even unavoidable generalization of the Brownian motion model of price variation. Considered within the context of those generalizations, the original Brownian comes out as very special and narrowly constricted, while the fractal/multifractal models come out as nearly as simple and parsimonious as the Brownian. The cartoons are stylized recursive variants of the authors fractal/multifractal models, which are even more versatile and realistic.This revised version was published online in January 2005 with corrections to the Cover date.     

Loan Portfolio Swaps and Optimal Lending

Theories on loan portfolio swap hedging are based on a portfolio-choice approach. This paper presents an alternative: a firm-theoretic model for bank behavior with loan portfolio swaps. Our paper derives the optimal loan rate and rate-taking loan amount of the banks portfolio, and relates them to the market loan rate, counterparty loan rate, swap default risk, capital-to-deposits ratio, and deposit insurance. We find that in the bilateral default risk approach, the comparative static results are generated by four factors: the banks risk magnitude about the equity market value, loan composition in the swap contract, the substitution effect in the loan portfolio, and the income effect from the swap transaction. The results imply that changes in the payoff asymmetry in the event of swap default and the banks regulatory parameters have a direct effect on the banks loan portfolio for lending and swap transactions.We would like to thank two anonymous referees for helpful comments and advice.     

Tax Competition, Income Differentials and Local Public Services

This paper examines strategic tax setting between fiscal authorities in the presence of mobile workers who locate across these jurisdictions in response to differing tax structures and congestable local public amenities. We find that the nature of the tax setting outcomes depend crucially on the proximity between cities. For distant cities with the same size populations, the pressure on tax rates of a more mobile workforce depends on the whether mobile workers are net beneficiaries or net contributors. If mobile workers are either high or low income earners, cities lower tax rates. If mobile workers are middle income earners, cities raise tax rates. For close or neighbouring cities, workers locate in one of the cities and tax rates and local public amenities are dispersed.     

Urban Sprawl and the Property Tax

This paper explores the connection between the property tax and urban sprawl. While the tax's depressing effect on improvements reduces population density, spurring the spatial expansion of cities, a countervailing effect from lower dwelling sizes may dominate, raising densities and making cities smaller. The analysis shows that this latter outcome is guaranteed under CES preferences when the elasticity of substitution is high. But numerical results for the Leontief case (where is zero) suggest that the property tax encourages urban sprawl when substitution between housing and other goods is low. Thus, the distortions generated by the property tax may include inefficient spatial expansion of cities, suggesting the tax may belong on the list of causal factors identified by critics of urban sprawl.     

Conduit Entities: Implications of Indirect Tax-Efficient Financing Structures for Real Investment

As well known, companies shift income from high to low tax jurisdictions. Typically, profit shifting is achieved by direct financing structures whereby companies use debt finance in the high tax entity and equity finance in the low tax entity. However, certain tax policies can lead to indirect financing structures whereby a conduit entity provides an opportunity to achieve at least two deductions for interest expenses for an investment made in the host country. The effect of direct and indirect financing structures on real investment is compared.     

Horizontal Inequity and Vertical Redistribution

Inequality of post-tax income among pre-tax equals is evaluated andaggregated to form a global index of horizontal inequity in the income tax.The vertical action of the tax is captured by its inequality effect on averagebetween groups of pre-tax equals. Putting the two together, horizontalinequity measures loss of vertical performance. The identification problem,which has previously been thought insuperable, is addressed by a procedurevalidating the banding of income units into close equals groups. Thehorizontal and vertical effects of a major Spanish income tax reform areevaluated. Lines for future investigation are suggested.     

Commodity Taxation and Social Welfare: The Generalized Ramsey Rule

Commodity taxes have three distinct roles: (1) revenue collection, (2) interpersonal redistribution, and (3) resource allocation. The paper presents an integrated treatment of these three concerns in a second-best general equilibrium framework, which leads to the generalized Ramsey rule for optimum taxation. We show how many standard results on optimum taxation and tax reform have a straightforward counterpart in this general framework. Using this framework, we also try to clarify the notion of deadweight loss, as well as the relation between alternative distributional assumptions and the structure of optimum taxes.     

Environmental Taxes, International Capital Mobility and Inefficient Tax Systems: Tax Burden vs. Tax Shifting

This paper deals with the so-called double dividend of an environmental tax reform. In a model with only labor and a polluting input as factors of production, we find that society faces a trade-off between internalizing environmental externalities and raising revenues in the least distortionary way. However, if capital enters the production structure, an ecological tax reform may render the tax structure more efficient from a non-environmental point of view, thereby raising not only environmental quality but also private incomes.     

Diversified Portfolios in Continuous Time

We study a financial market containing an infinite number of assets, where each asset price is driven by an idiosyncratic random source as well as by a systematic noise term. Introducing asymptotic assets which correspond to certain infinitely well diversified portfolios we study absence of (asymptotic) arbitrage, and in this context we obtain continuous time extensions of atemporal APT results. We also study completeness and derivative pricing, showing that the possibility of forming infinitely well diversified portfolios has the property of completing the market. It also turns out that models where the all risk is of diffusion type are qualitatively quite different from models where one risk is of diffusion type and the other is of Poisson type. We also present a simple martingale based theory for absence of asymptotic arbitrage.     

Time series models of mortgage choice: Evidence of lender influence

Unit root, co-integration, and Granger Causality are used to test specification of a generalized time series model of mortgage choice. Unit root tests determine that both the fixed-adjustable spread (FAsp) and the proportion of ARM originations (AP) are first difference stationary. The cointegrating vector between FAsp and AP was found to be weak, raising questions regarding their long-term relationship. Causality tests determined that ARM originations Granger causes the fixed-adjustable mortgage spread (APFAsp) rather than FAspAP. This result suggests that mortgage originators adjust the current FAsp spread based on last periods allocation. The coefficient vector for this specification was unstable and became increasingly negative during the 1980s.     

The Impact of Taxing Unemployment Insurance Benefits on Unemployment Duration and Post-unemployment Earnings

In 1979, unemployment insurance benefits became taxableincome for recipients with income above a specified threshold.Further legislation in 1982 lowered the income threshold. Thispaper uses the Continuous Wage and Benefit History (CWBH) database to evaluate the effects of the 1982 change on the compensatedduration of unemployment and post-unemployment earnings. The1982 episode is a particularly useful natural experimentbecause the treatment group (those newly subject to benefittaxation) is the middle income category and the two controlgroups (those whose benefits were already taxed and those whosebenefits still were not taxed) are the high and low income categories.If the two control groups show similar trends in unemploymentduration (or post-unemployment earnings) and the treatment groupshows a strikingly different pattern, this is compelling evidenceof a tax effect. The empirical results suggest that taxing unemploymentbenefits reduced the affected workers' mean compensated durationby more than a week, but did not have a statistically significanteffect on their post-unemployment earnings.     

Global Trends and Issues in Value Added Taxation

Since the late 1960s, the VAT has become one of the mainstays of the tax systems in over one hundred countries. Apparently, its revenue raising and neutrality properties make it an attractive tax in a rapidly integrating, high-tax world. Following an overview of VATs throughout the world, this article examines various VAT structure and policy issues under the following headings: tax coverage features, tax base aspects, hard-to-tax sectors, rate structure issues, and interjurisdictional coordination problems. It is shown that the normative requirements of a good VAT are often met only in the breach.     

Decomposition of Japanese Yen Interest Rate Data Through Local Regression

Seven different Japanese Yen interest rates recorded on a daily basisfor the period from 1986 to 1992 are simultaneously analyzed. Byintroducing a new concept of short term trend, we decomposeeach interest rate series into three components, long termtrend, short term trend and irregular. It is obtained by atwo step lowess smoothing technique. After that, amultivariate autoregressive model (MAR) is fitted to the vectorvalued time series obtained by combining those seven irregularcomponents. The decomposition and MAR model fitting were quitesatisfactory. It enables us to understand well various aspects ofinterest rate series from the trends, the MAR (2) coefficientsand its residuals. The result is compared with the decompositionthrough sabl and the advantages of our procedure will bedemonstrated in relations to other parametric model fitting likeARCH or GARCH. Based on the decomposition we can have betterdaily prediction and more stable long term forecasting.