NEW EVIDENCE ON INCOME AND THE VELOCITY OF MONEY

Time series and cross-country empirical results suggest that cash holding as a proportion of income rises, or equivalently that velocity falls, as income increases. Numerous cross sectional findings at many points in time, in several countries conclude oppositely. It is argued here that the former findings suffer from omitted variable bias by ignoring sociodemographic variables affecting the demand for cash balances. When one incorporates such demand shifters into the analysis the time series and cross-country findings are seen as consistent with the critically reexamined cross sectional result that velocity increases with income.     

EXCHANGE RATE VOLATILITY: THE ROLE OF REAL SHOCKS AND THE VELOCITY OF MONEY

The effects of stochastic output shocks on the behavior of ex-change rates and nominal price levels is studied within the context of a two-country, cash-in-advance model. The analysis of this model, in contrast to the existing cash-in-advance literature, demonstrates that exchange rates can be more volatile than price levels even though agents' elasticity of substitution between foreign and domestic goods is greater than one-half. This possibility arises when output shocks are autocorrelated and are due to revisions in expectations that affect the terms of trade and/or the velocity of money.     

REAL VERSUS NOMINAL SPECIFICATION OF THE DEMAND FOR MONEY FUNCTION

This paper re-examines the issue of real versus nominal specification of the money demand function and presents evidence in favor of the nominal specification. A series of experiments with U.S. quarterly data show that the money demand function specified in nominal terms is more stable and generates more accurate forecasts than that specified in real terms. "The case of the missing money" also is discussed.     

PITFALLS IN TESTING FOR COINTEGRATION BETWEEN INEQUALITY AND THE REAL INCOME

Frank (2009) constructed a comprehensive panel of state‐level income inequality measures using individual tax filing data from the Internal Revenue Service. Employing an array of cointegration exercises for the data, he reported a positive long‐run relationship between income inequality and the real income per capita in the United States. This article questions the validity of his findings. First, we suggest a misspecification problem in his approach regarding the order of integration in the inequality index, which shows evidence of nonstationarity only for the post‐1980 data. Second, we demonstrate that his findings are not reliable because the panel cointegration test he used requires cross‐section independence, which is inappropriate for the U.S. state‐level data. Employing panel tests that allow cross‐section dependence, we find no evidence of cointegration between inequality and the real income. (JEL D31, O40)     

THE AGGREGATE PERMANENT INCOME CONSUMPTION FUNCTION

This paper presents new evidence on the aggregate (timeseries) variant of the permanent income hypothesis. Using flexible-lag procedures, estimates are derived that suggest that permanent income depends largely upon recent income receipts, thus calling into question a central assumption of the original Friedman theory. The results of the study also raise doubts about the empirical validity of other elements of the aggregate variant of the permanent income theory.     

THE OPTIMAL TAXATION OF ASSET INCOME WHEN GOVERNMENT CONSUMPTION IS ENDOGENOUS: THEORY,ESTIMATION AND WELFARE

This paper derives the Ramsey optimal fiscal policy for taxing asset income in a model where government expenditure is a function of net output or the inputs that produce it. Extending work by Kenneth L. Judd, I demonstrate that the canonical result that the optimal tax on capital income is zero in the medium to long term is a special case of a more general model. Employing a vector error correction model to estimate the relationship between government consumption and net output or the factor inputs that generate it for the United States between 1948Q1 and 2015Q4, I demonstrate that this special case is empirically implausible, and show how a cointegrating vector can be used to determine the optimal tax schedule. I simulate a version of the model using the empirical estimates to measure the welfare implications of changing the tax rate on asset income, and contrast these results with those generated in a version of the model where government consumption is purely exogenous. The shifting pattern of welfare measurements confirms the theoretical results. I calculate that the prevailing effective tax rate on net asset income in the United States between 1970 and 2014 averaged 0.449. Hence abolishing the tax completely does generate welfare improvements, though only by the equivalent of between 1.103% and 1.616% permanent increase in consumption—well under half the implied welfare benefit when the endogeneity of the government consumption is ignored. The maximum welfare improvement from shifting part of the burden of tax from capital to labor is the equivalent of a permanent increase in consumption of between only 1.491% and 1.858%, and is attained when the tax rate on asset income is lowered to between 0.148 and 0.186. Allowing the tax rate to vary over time raises the maximum welfare benefit to 1.865%. All the results are very robust to a wide range of elasticities of labor supply. (JEL E62, H21, H50)     

MONEY, INCOME, AND PRICES IN THE UNITED KINGDOM: 1870–1913

This paper examines certain aspects of the operation of the gold standard and its effects on the United Kingdom in the period before World War I. Reduced-form tests and estimates of output and money-demand equations are presented. The major conclusions are (1) Prices and interest rates in the United Kingdom can be represented as being determined independently of the money stock and output in the United Kingdom; and (2) Evidence concerning Lucas's version of the natural-rate hypothesis indicates various inadequacies.     

TIME PREFERENCE AND THE DISTRIBUTIONS OF WEALTH AND INCOME

This paper examines the connection between time preference heterogeneity and economic inequality in a deterministic environment. Specifically, we extend the standard neoclassical growth model to allow for (1) heterogeneity in consumers' discount rates, (2) direct preferences for wealth, and (3) human capital formation. The second feature prevents the wealth distribution from collapsing into a degenerate distribution. The third feature generates a strong positive correlation between earnings and capital income across consumers. A calibrated version of the model is able to generate patterns of wealth and income inequality that are very similar to those observed in the United States. (JEL D31, E21, O15)     

INSTITUTIONAL CHANGE AND THE VELOCITY OF MONEY: A CENTURY OF EVIDENCE

We study common features in the income velocity of money, income, and interest rates for Canada, the U.S., the U.K., Sweden and Norway using annual data from 1870. The recently developed and refined techniques of testing for cointegration are employed.
The evidence suggests there is a unique long-run relationship in velocity but not in income and interest rates. Moreover, we find that only a model which includes institutional change proxies is properly specified. We argue that the evidence is best interpreted in the context of common historical developments in the respective countries' financial systems.     

INCOME SMOOTHING AND SELF-CONTROL: THE CASE OF SCHOOLTEACHERS

Approximately one-half of California's Unified School Districts give teachers a choice of receiving their annual salaries in 10 or 12 monthly payments. Intertemporal utility maximization à la Irving Fisher suggests that they should choose 10 payments and earn interest on their savings. But about 50% of the teachers choose 12 installments, even though when summed over a reasonable period the forgone interest can be considerable. This behavior can be explained by the cost of exercising self-control and by Laibson's model of hyperbolic discounting. A survey of teachers supports this interpretation. (JEL D91 , D12 )     

CONSPICUOUS SPENDING AND THE INCOME DISTRIBUTION OF SOCIAL GROUPS

Using South African household expenditure data, we analyze how the spending of a household on visible goods, such as jewelry and clothes, depends on the distribution of income within its social group. We find that this spending is positively correlated with the share of peers who possess a similar income level to the household, what we dub the “local income share.” Moreover, we find that the spending of a household on visible goods is positively correlated with the average income of peers that are poorer than this household. We interpret this as evidence for cascade effects through which income changes among the poorest in the social group can trigger adjustments in the visible spending patterns of the wealthy. In line with previous research (Charles et al. 2009), we also find that visible spending of a household is negatively correlated with the average income of its social group. We present a simple model of status competition based on Hopkins and Kornienko (2004) that synthesizes these effects and can account for our results. (JEL D12, D31, O12)     

CROSS-COUNTRY ESTIMATES OF THE DEMAND FOR MONEY AND ITS COMPONENTS

The demand for money aggregates (M1, M2) and their components (currency, demand deposits, and time deposits) are estimated using a sample of 103 countries at two time periods. Money demand is found to be affected by age, literacy, industrial development, and political structure, as well as income and inflation. This expanded demand function helps to explain the considerable changes in money demand that have occurred over long periods and the large variation in money demand found across countries. The knowledge thus gained is useful for understanding differences in monetary and taxation policies across countries.