Jang-Ting Guo

Optimal taxation of capital income with imperfectly competitive product markets

We show that the steady-state optimal tax on capital income can be negative, positive, or zero in a neoclassical growth model that allows for imperfectly competitive product markets. The sign of the optimal tax rate depends crucially on (1) the degree of monopoly power, (2) the extent to which monopoly profits can be taxed, (3) the size of the depreciation allowance, and (4) the magnitude of government expenditures. For an empirically plausible set of parameters, we find that the steady-state optimal capital tax can range between -10 and 22%.

Balanced-budget rules and macroeconomic (in)stability

Abstract It has been shown that under perfect competition and constant returns-to-scale, a one-sector real business cycle model may exhibit indeterminacy and sunspots when income tax rates are determined by a balanced-budget rule with a pre-set level of government expenditures. This paper shows that indeterminacy disappears if the government finances endogenous public spending and transfers with fixed income tax rates. Under this type of balanced-budget formulation, the economy exhibits saddle-path stability and equilibrium uniqueness, regardless of the source of government revenue and/or the existence of lump-sum transfers.

Fiscal Policy, Increasing Returns, and Endogenous Fluctuations

We examine the quantitative implications of government fiscal policy in a discrete-time one-sector growth model with a productive externality that generates social increasing returns to scale. Starting from a laissez-faire economy that exhibits an indeterminate steady state (a sink), we show that the introduction of a constant capital tax or subsidy can lead to various forms of endogenous fluctuations, including stable 2-, 4-, 8-, and 10- cycles, quasi-periodic orbits, and chaos. In contrast, a constant labor tax or subsidy has no effect on the qualitative nature of the models dynamics. We also show that the use of local steady-state analysis to detect the presence of multiple equilibria in this class of models can be misleading. For a plausible range of capital tax rates, the log-linearized dynamical system exhibits saddle-point stability (suggesting a unique equilibrium) while the true nonlinear model exhibits global indeterminancy. Finally, we explore the use of a state-contingent capital subsidy/tax scheme for stabilization purposes. We show that a local control policy designed using the log-linearized model can rule out sunspot equilibria near the steady state but may not prevent fluctuations arising from global indeterminacy. We proceed to use the nonlinear model to design a policy that can stabilize the economy against all forms of endogenous fluctuations and select a globally unique equilibrium.

Multiple equilibria and progressive taxation of labor income

Abstract This paper shows that in a one-sector real business cycle model with strong increasing returns in production, progressive taxation of labor income can stabilize the economy against sunspot fluctuations, even when the capital tax schedule is flat. This result is consistent with the US tax code in which labor-income taxation is more progressive than capital-income taxation.

Increasing returns, capital utilization, and the effects of government spending

Abstract We show that a one-sector real business cycle model with mild increasing returns-to-scale, variable capital utilization and saddle-path stability is able to produce qualitatively realistic business cycles driven solely by disturbances to government purchases. Due to an endogenous increase in labor productivity, a positive spending shock can lead to simultaneous increases in output, consumption, investment, employment and real wage. Our analysis illustrates a close relationship between this result and the recent literature that explores indeterminacy and sunspots in real business cycle models under laissez-faire. In particular, the condition which governs the required magnitude of increasing returns for government spending shocks to generate procyclical macroeconomic effects is identical to that necessary for a laissez-faire one-sector real business cycle model to exhibit local indeterminacy.

Indeterminacy with capital utilization and sector-specific externalities

Abstract We show that the minimum level of increasing returns-to-scale needed for indeterminacy in a two-sector real business cycle model with variable capital utilization and sector-specific externalities is extremely small. Moreover, this value is lower than that required in several of our model’s predecessors, and is quite easily within the range of empirical plausibility.

SOCIAL STATUS AND THE GROWTH EFFECT OF MONEY

It has been shown that in a standard one-sector AK model of endogenous growth with wealth induced preferences for social status, the economys growth rates of real output and nominal money supply are positively related when the cash in advance constraint is applied solely to the households consumption purchases. However, a positive output growth effect of money/inflation is not consistent with the existing empirical evidence. We show that when gross investment must be financed by real money balances as well, this result is overturned, i.e. higher inflation is detrimental to economic growth, because of a dominating portfolio substitution effect.

Capital-Labor Substitution and Equilibrium Indeterminacy

This paper examines the quantitative relationship between the elasticity of capital-labor substitution in production and the conditions needed for equilibrium indeterminacy (and belief-driven fluctuations) in a one-sector growth model. With variable capital utilization, the substitution elasticity has little quantitative impact on the minimum degree of increasing returns needed for indeterminacy. However, when capital utilization is constant, a below-unity substitution elasticity sharply raises the minimum degree of increasing returns because it imposes a higher effective adjustment cost on labor hours. Overall, our results show that empirically-plausible departures from the Cobb-Douglas production specification can make indeterminacy more difficult to achieve.

Indeterminacy with No-Income-Effect Preferences and Sector-Specific Externalities

We examine a two-sector real business cycle (RBC) model with sector-specific externalities in which household utility exhibits no income effect on the demand for leisure. Unlike in the one-sector counterpart, indeterminacy can result with sufficiently high returns-to-scale in the investment sector. Moreover, the smaller the labor supply elasticity, the lower the level of externalities needed for indeterminacy. This finding is the opposite of that in all existing RBC-based indeterminacy studies. Finally, in contrast to previous sunspot-driven two-sector RBC models, our economy is able to match the stylized facts that sectoral labor inputs are positively correlated and consumption is procyclical.

Money, Social Status and Endogenous Growth in a Generalized Cash‐In‐Advance Model

This paper analytically examines the equilibrium growth effect of money/inflation in a standard one‐sector AK model of endogenous growth with the most generalized cash‐in‐advance constraint and relative wealth‐induced preferences for social status. We show that on the economys unique balanced growth equilibrium path, the sign of the correlation between money and output growth depends crucially on: (i) the intertemporal elasticity of substitution in consumption; and (ii) the liquidity‐constrained ratio of consumption to investment expenditure. Moreover, our model economy always exhibits a positive output–growth effect in response to changes of the strength for social status. We also undertake numerical experiments to assess the quantitative importance of our theoretical results under an empirically plausible set of parameters.