Consumption tax and economic growth in an overlapping generations model with money holdings

This paper examines the effect of a consumption tax on economic growth using an overlapping generations (OLG) model with money holdings. We show that the neutrality of the consumption tax does not hold in the money-in-the-utility-function model, because a change in consumption taxation induces the substitution of money holdings for consumption, and the money is the net wealth within the OLG structure. An increase in the consumption tax rate lowers (raises) the growth rate under a low (high) monetary expansion rate. On the other hand, in the cash-in-advance model and the money-in-the-production-function model, the neutrality of consumption taxation holds even within the OLG structure, because in these models there is no substitution of consumption and money holdings.     

WEALTH,ASSET PORTFOLIO,MONEY DEMAND AND POLICY RULE

I look at the linkages between monetary policy and asset wealth using quarterly data for the USA. I show that a positive interest rate shock leads to a fall in aggregate wealth and an important change in portfolio composition: housing wealth gradually decreases, but the effects are very persistent; and financial wealth quickly shrinks, but the impact is short‐lived. I also find that the money market can be characterized as follows: (i) the money demand has a large interest elasticity and a small output elasticity; and (ii) the estimated monetary policy reaction function highlights the special focus given by the central bank to developments in monetary aggregates. These features call for an approach whereby monetary authorities put more emphasis on tracking wealth developments, in particular, given the asset portfolio rebalancing between money holdings and financial and/or housing assets.     

Envy and Inequality*

We present an overlapping generations economy, populated by heterogeneous agents who care about both consumption relative to others and the bequest they leave to their offspring. We show that saving and bequest rates vary across the income distribution, and we obtain several interesting results. First, envy reduces the steady‐state capital stock and increases the degree of inequality in consumption, capital ownership, and bequests. Second, if the bequest motive is sufficiently strong the equalizing effect of bequests disappears. Third, income inequality for a given cohort increases with age. Fourth, the distribution of inherited wealth becomes more unequal than that of wealth in general. Fifth, economic position becomes more persistent across generations.     

Seigniorage and Japanese fiscal sustainability: Simulation analysis using an overlapping generations model

This study examines two tax policies for achieving fiscal sustainability in Japan: (i) an increase in consumption tax and (ii) consumption tax hike combined with inflation. To evaluate these policies from both fiscal and welfare perspectives, I develop a multi-period overlapping generations model with money. The results reveal that, compared to the first policy, the second policy can substantially delay the timing of and curb the increase in consumption tax through seigniorage revenue. This suggests seigniorage could be a useful tool for the Japanese government in resolving its fiscal problems. In addition, in an aging Japan, the second policy can enhance future generations’ utility. Because inflation reduces money holdings and utility of the elderly, policies that cause inflation in the present but reduce it in the future improve the utility of future generations. From a social welfare viewpoint, such policies are desirable in a government that has foresight.     

Stationary monetary equilibria with strictly increasing value functions and non-discrete money holdings distributions: An indeterminacy result

In this paper, we present a search model with divisible money in which there exists a continuum of monetary equilibria with strictly increasing continuous value functions and with non-discrete money holdings distributions.     

ON THE INEFFICACY OF TEMPORARY POLICY IN A DYNAMIC GENERAL EQUILIBRIUM WITH MONEY*

We construct a dynamic economy with many consumers with money in their utilities. Two main results—a turnpike theorem and inefficacy of temporary policy—are established in a dynamic general equilibrium framework in which price effects generated through markets are explicitly factored in. Turnpike, which is perfectly independent from wealth distribution among the heterogeneous consumers, will be globally attractive. Temporary policy is not effective not only for the future but for the current economy if the long‐run interest rate level is low. The inefficacy result coincides with an intuitive explanation by the standard permanent income hypothesis.     

NEOCLASSICAL GROWTH AND THE DISTRIBUTION OF CONSUMPTION

Abstract.  The neoclassical growth model is used to compare an economy with growing per capita income with an economy with stationary per capita income, in terms of equity in distribution of consumption. The economies have the same initial conditions including the same initial wealth distribution. The outcome of the comparison depends on the nature of structural differences between the economies. Even with convergence in wealth distribution in the growing economy, the consumption distribution there may be less equitable and dynasties with least initial levels of wealth may be worse off than dynasties with same initial wealth levels in the stationary economy.     

Existence of a monetary steady state in a matching model: divisible money

Existence of a monetary steady state is established in a random matching model with divisible goods, divisible money, an arbitrary bound on individual money holdings, and take-it-or-leave-it offers by consumers. The monetary steady state shown to exist has nice properties: the value function, defined on money holdings, is strictly increasing and strictly concave, and the distribution over money holdings has full support. The approach is to show that the “limit” of the nice steady states for indivisible money, existence of which was established in an earlier paper, as the unit of money goes to zero is a monetary steady state for divisible money. For indivisible money, the marginal utility of consumption at zero was assumed to be large; for divisible money it is assumed to be large and finite.     

A cointegrated structural VAR model of the Canadian economy

This paper implements a cointegrated structural VAR model of the Canadian economy using quarterly data over the period 1964–1994. The dynamic properties of the estimated model are compared to the predictions of a simple textbook macro model. Four long-run equilibrium relationships are tested: (i) consumption–income; (ii) consumption–wealth; (iii) money demand; and (iv) the Fisher equation. The empirical results obtained are generally consistent with the predictions of the textbook model's long-run implications, although level shifts are observed in the consumption/income and the wealth/income ratios. Similarly it is found that there was an increase in the ex post real interest rate, implying a level shift in the Fisher relation, following the Bank of Canada's policy change towards a stable price level target.     

Collateral fluctuations in a monetary economy

This paper studies economy-wide fluctuations that occur endogenously in the presence of monetary and real assets. Using a standard monetary search model, we consider an economy in which agents can increase consumption, over and above what their liquid monetary asset holdings would allow, pledging real assets as collateral for monetary loans. It is shown that, if the liquidation value of real assets is below full market value, a stable cyclical equilibrium can emerge in consumption and capital around the unstable steady state. We also provide conditions for the existence of cycles of higher order, chaos and sunspot equilibria.     

Consumption-loan type models the Samuelson case

This is a further study of the overlapping generations model with fixed amount of fiat money. We show that when the economy is Samuelsonian then there exists some Pareto optimal stationary competitive equilibrium from some initial money holdings. Moreover, if the steady-state interest factor is less than unity, then a non-monetary Pareto optimal equilibrium exists from any initial money endowments.     

Monetary policy with heterogeneous agents and borrowing constraints

We show that the long-run neutrality of inflation on capital accumulation obtained in complete market models no longer holds when households face binding credit constraints. Borrowing-constrained households are not able to rebalance their financial portfolio when inflation varies, and thus adjust their money holdings differently compared to unconstrained households. This heterogeneity leads to a new precautionary savings motive, which implies that inflation increases capital accumulation. We quantify the importance of this new channel in an incomplete market model where the traditional redistributive effects of inflation are also introduced. We show that this model provides a quantitative rationale for the observed hump-shaped relationship between inflation and capital accumulation.     

Inequality within generation: Evidence from France

Intra-generational inequalities focus on the distributions within age groups. On the basis of French household income surveys carried out from 1996 to 2014, the Gini coefficient and D9/D1 inter-decile ratio were calculated so as to evaluate intra-generational income inequality before and after redistribution by the tax and welfare system. Age-Cohort-Period models were then estimated in order to disentangle age and generation effects. Over a life cycle, intra-generational inequality displays a hump-shaped curve peaking at age 55–59. This inequality is significantly lower among the youngest, whichever inequality indicator is used, and among the oldest, when measured by the inter-decile ratio. Comparison of pre- and post-redistribution income reveals that the tax and welfare system particularly reduces inequality among the young. Intra-generational inequality measured by the Gini coefficient increases significantly from one generation to the next. Measured by the inter-decile ratio, the increase is considerable for the gross income of those generations born from the 1970s on. However, the tax and welfare system has compensated for this increase, because analysis of the inter-decile ratio applied to disposable income shows no significant difference between generations.     

Existence of a monetary steady state in a matching model: indivisible money

Existence of a monetary steady state is established for a random matching model with divisible goods, indivisible money, an arbitrary bound on individual money holdings, and take-it-or-leave-it offers by consumers. The background environment is that in papers by Shi and by Trejos and Wright. The monetary steady state shown to exist has nice properties: the value function, defined on money holdings, is strictly increasing and strictly concave, and the measure over money holdings has full support.     

Temporary bubbles

This article studies the dynamics of an overlapping generations model with capital, money and cash-in-advance constraints. The economy can exhibit two different regimes. In the first one, the cash-in-advance constraint is binding and money is a dominated asset. In the second one, the constraint is strictly satisfied and money has the same return as capital. When the second regime holds on a finite number of periods, we say that the economy experiences a temporary bubble. We prove that temporary bubbles can exist in an economy, which would experience under-accumulation without money. We also show that cyclical bubbles may occur.     

Credit and inflation under borrower?s lack of commitment

In this paper we study the effects of monetary policy on privately supplied credit in model economies where money is needed for transaction purposes and agents who default on their loans cannot participate in the credit market but are allowed to accumulate money. In our deterministic benchmark economy where agents alternate in productivity, credit has the role of smoothing consumption. We show that deflation crowds out credit completely. The reason is that deflation increases the value of being excluded from the credit market and eliminates the incentive to repay loans. When inflation is positive but low, credit, consumption smoothing and welfare increase with inflation, until inflation reaches a threshold at which the allocation is efficient and money becomes superneutral.     

Credit cards and aggregate money demand

This paper attempts to assess the effect of the growth in the use of credit cards upon aggregate household money holdings. In an inventory theoretic structure, when individuals have the choice of whether to use a credit card as an alternative means of payments, and with a given income distribution, the aggregate money demand relation is derived. It is shown that the existence of an alternative means of payment changes the predictions on the relevant elasticities from the standard model, and makes them variable over time, and gives some indication of how credit card growth causes shifts in aggregate money demand.     

MACROECONOMIC AND REDISTRIBUTIONAL EFFECTS OF CONSUMPTION TAXES IN THE USA*

This paper studies the effect of an increase in consumption taxes using a dynamic general equilibrium model of overlapping generations calibrated to the US economy. When the proceeds are used to reduce income taxes, the reform raises the aggregate capital and labour supply in the long run. Workers increase labour supply immediately in response to the reform, while consumption rises only gradually. The tax reform also transfers wealth from old consumers to young consumers. As a result, while future generations experience significant welfare gains, current generations, particularly old consumers, tend to experience sizable welfare losses. When the proceeds are used for a lump‐sum transfer, the aggregate capital and labour both decrease in the long run. This reform is welfare‐improving for the current low‐income households.     

INCOME AND WEALTH OVER THE LIFE CYCLE EVIDENCE FROM PANEL DATA

In this paper we examine household wealth and income in the Netherlands using data from the Socio Economic Panel (SEP) in the period 1987–89. We provide an evaluation of the quality of the data and some simple statistics which describe the behavior of wealth, saving, and income over the life cycle. We find there is substantial heterogeneity in the behavior of households, and wealth holdings vary substantially even among the same age group. By exploiting the panel feature of the SEP, we derive saving from first differencing wealth. We find that a sizeable fraction of households do not dissave when old and we find some evidence in favor of the bequest motive.