Indeterminate equilibrium growth with product and R&D spillovers

The paper revisits an endogenously growing economy à la Romer (1990) to explore the possibility of local and global indeterminacy where, along with the usual R&D spillover, a manufacturing sector generates a product spillover on R&D. When the product spillover facilitates R&D, the dynamic market equilibrium is unique and determinate. However, when the product spillover is strongly negative on R&D, multiple balanced market equilibria emerge and are therefore globally indeterminate. Furthermore, global indeterminacy coexists with local indeterminacy under the joint condition on the intertemporal elasticity of substitution of consumption. Local indeterminacy also emerges when the product spillover is mildly negative in tandem with a high intertemporal elasticity of substitution. Hence, a dynamic market economy with product spillovers in the R&D sector enriches the understanding of observable growth phenomena, including business and growth cycles and income and growth disparity, among countries with the same economic fundamentals.     

ENDOGENOUS TIME PREFERENCE,INTEREST‐RATE RULES,AND INDETERMINACY*

This paper extends the Benhabib et al. flexible‐price, money‐in‐the‐utility‐function model by considering endogenous time preference and re‐examines equilibrium indeterminacy in response to alternative interest‐rate rules. We show that either an active or a passive interest‐rate feedback rule can generate local indeterminacy even if consumption and real money balances are Edgeworth independent. This result is in sharp contrast to that in the related literature. We also find that in the presence of endogenous time preference, local indeterminacy may occur regardless of whether the monetary policy is based on the interest‐rate feedback rule or money growth‐rate targeting.     

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 economy's 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.     

Sunspot Fluctuations in Two-sector Economies with Heterogeneous Agents

We study a two-sector model with heterogeneous agents and borrowing constraint on labor income. We show that the relative capital intensity difference across sectors is crucial for the conditions required to get indeterminacy and endogenous fluctuations. The main result shows that when the consumption good is sufficiently capital intensive, local indeterminacy arises while the elasticities of capital–labor substitution in both sectors are slightly greater than unity and the elasticity of the offer curve is low enough. Locally indeterminate equilibria are thus compatible with a low elasticity of intertemporal substitution in consumption and a low elasticity of the labor supply. As recently shown in empirical analysis, these conditions appear to be in accordance with macroeconomic evidences. We would like to thank R. Becker, J.P. Drugeon and an anonymous referee for useful comments and suggestions. The current version also benefited from a presentation at the conference “Public Economic Theory 04”, Beijing, August 2004.     

Indeterminacy and multiple steady states with sector-specific externalities

This paper studies a two-sector model with aggregate and sector-specific external effects in production and inelastic labor supply. We first characterize the existence, uniqueness and multiplicity of the steady states as well as their welfare properties. We particularly focus on the CES production functions and show that the steady state is generically either unique or there are exactly two. A simple geometrical methodology enables us to characterize the local dynamics of the steady state. We show that in order to get indeterminacy, the presence of both aggregate and sector-specific external effects is needed, along with low capital–labor elasticities of substitution and high, but bounded from above, elasticities in intertemporal consumption. We perform a sensitivity analysis and show that indeterminacy emerges for parameter values in line with those used in calibrations of standard RBC models, that is for unitary elasticities of input substitution and of intertemporal substitution in consumption.     

Money, endogenous fertility and economic growth

This paper analyzes the issue of money superneutrality through an intertemporal optimizing model of capital accumulation with endogenous fertility, i.e. endogenous population growth. Two elements of this setup invalidate money superneutrality: (i) a demand for fertility that depends on real money balances, and (ii) an inverse relation between capital–labor ratio and population growth. Higher monetary growth increases fertility, since it reduces its opportunity cost, and hence diminishes capital intensity, and per capita output. This reverse Tobin effect is matched by an increase in aggregate capital and output growth rates. In this framework, the optimal monetary growth rule is a “distorted Friedman rule”.     

Growth and welfare effects of monetary policy with endogenous fertility

This paper investigates the economic growth and social welfare implications of monetary policy in an endogenous growth model with endogenous fertility. We show that, in the money-in-the-utility-function framework, endogenous fertility governs the validity of money superneutrality, the transitional dynamics of an anticipated monetary policy, and the optimal monetary policy. Along a balanced growth path, monetary growth increases fertility and reduces the economic growth rate if consumption and real balances are complements or are independent. However, monetary expansion may decrease fertility and increase economic growth if consumption and real balances are substitutes. Generally speaking, the superneutrality of money does not hold in the presence of endogenous fertility. More importantly, with endogenous fertility, the Friedman (1969) rule is no longer a welfare-maximizing monetary policy. We also show that an anticipated inflation induces the transitional dynamics of fertility and the economic growth rate even though the intertemporal elasticity of substitution equals unity. This differs from the conventional notion in the existing literature.     

Can consumption habit spillovers be a source of equilibrium indeterminacy?

This paper investigates whether the external consumption habit can be a source of indeterminacy in a one-sector growth model when the labor supply is elastic. When there is a proper habit effect with a positive intertemporal elasticity of substitution, we find that the model exhibits indeterminacy if the coefficient of the habit formation is sufficiently large that allows for a substantial impact of current consumption on the habit. Indeterminacy arises even though the elasticity of the Frisch labor supply is positive and the elasticity of the labor demand in negative. In a calibrated version, we find that indeterminacy is empirically plausible when the habit effect is negative that features the “catching up with the Joneses” effect. Under given “catching up with the Joneses” effects, the external consumption habit can be a source of indeterminacy even if more than a half of the external consumption habit comes from past average consumption.     

Balanced‐Budget Rules,Elasticity of Substitution,and Macroeconomic (In)Stability

This paper examines the relation between factor substitution and (local) stability of equilibria in a one‐sector real business cycle model under balanced‐budget rules. We show that under non‐unitary elasticity of factor substitution, the Schmitt‐Grohé‐Uribe indeterminacy result can be altered. Using the two‐step normalization procedure, we highlight two opposing effects of factor substitution, namely, the efficiency effect and the distribution effect, on aggregate stability. With endogenous distortionary taxes and gross substitutability between capital and labor, the existing literature overlooks the distribution effect and finds that balanced‐budget rules are likely to deliver indeterminacy. However, if capital stock is relatively more abundant, a higher elasticity of substitution generates a source of stability due to the distribution effect. Our calibration shows that the distribution effect is always the dominating force.     

Liquidity constraint, increasing returns and endogenous fluctuations

In this paper we show that local indeterminacy, endogenous fluctuations, and periodic and quasi-periodic orbits may emerge in a one-sector infinite-horizon competitive economy where (1) at the end of each period agents must hold a share of their wealth in the form of money and (2) technology exhibits increasing returns to scale. In contrast to other contributions on this subject, we find that such phenomena occur when consumption is intertemporally substitutable and labour is supplied inelastically. The scope for indeterminacy depends basically on the fact that, in view of the financial constraint, total returns on investment represent a weighted average of capital marginal productivity and deflation, and the latter is positively related to the rate of growth of capital.     

Substitution,Income, and Intertemporal Effects In Currency-Substitution Models*

Empirical studies which aim to determine the extent of international currency substitution typically focus on the coefficient associated with the anticipated rate of depreciation of the domestic currency or on the foreign interest rate in the domestic money demand equation. an intertemporal optimizing model is used to obtain a money demand function which shows that the anticipated exchange-rate change and the foreign interest rate capture an income effect and an intertemporal income or substitution effect. Using these theoretical results, the findings from empirical studies are examined to show circumstances in which international currency substitutability may have been overstated or understated.     

Debt, liquidity and dynamics

Summary. Money, which provides liquidity, is distinct from debt. The introduction of a bank that issues money in exchange for debt and pays out its profit as dividend to shareholders modifies the model of overlapping generations. The set of equilibrium paths, their dynamic properties, as well as the scope and effectiveness of monetary policy are significantly altered: though low rates of interest are associated with superior steady state allocations, stability of the steady state may require a nominal rate of interest above a certain minimum: without production, a decrease in the nominal rate of interest may result in explosive behavior or convergence to an endogenous cycle, while in an economy with production, an increase in the nominal rate of interest may lead to indeterminacy and fluctuations.Received: 5 October 2004, Revised: 5 November 2004 JEL Classification Numbers: E30, E32, E50, E52.C. Rochon, H.M. Polemarchakis: We thank Jean-Michel Grandmont for helpful comments. Correspondence to: C. RochonThis revised version was published online in May 2005 with a corrected abstract.     

Income and wealth distribution in a simple model of growth

Summary. This paper studies a deterministic one-sector growth model with a constant returns to scale production function and endogenous labor supply. It is shown that the distribution of capital among the agents has an effect on the level of per-capita output. There exists a continuum of stationary equilibria with different levels of per-capita output. If the elasticity of intertemporal substitution is large, a higher output level can be achieved when income inequality is great, that is, when the income distribution is strongly dispersed. If the elasticity of intertemporal substitution is low, the reverse relation holds. The paper shows that countries with identical production technologies and identical preferences may have different GDP levels because wealth is distributed differently among their inhabitants. Received: January 29, 1999; revised version: October 4, 1999     

Poole in the New Keynesian model

We study the properties of alternative central bank targeting procedures within the standard New Keynesian model. We find that Poole's famous insights concerning the output stabilization properties of money and interest rate targeting obtain when intertemporal substitution is low. And that output volatility rankings do not induce similar welfare rankings. Unlike the popular presumption, money targeting always fares better for money demand shocks. For fiscal shocks, money targeting does better for low and worse for high degree of intertemporal substitution. The opposite pattern obtains for supply shocks.     

财政约束与价格水平决定:FTPL的一个批判

本文在一个内生增长一般均衡货币模型中, 通过引入名义债券、实际债券、货币和物质资本, 讨论了政府财政约束与价格水平决定的关系。我们发现, 在平衡增长路径上均衡通货膨胀率完全由货币增长率决定, 政府跨时预算约束方程只是个恒等式。如果价格水平财政理论(FiscalTheoryofPriceLevel, FTPL) 成立, 则小得可以忽略的财政扰动可以导致物价水平的巨大波动, 这是无法让人接受的; 进一步的研究发现, 问题出现的原因是FTPL将名义债券市场和其他资产市场割裂开来, 孤立地讨论了名义债券市场出清的条件, 由此认为跨时预算约束方程是一个均衡定价方程; 当将诸市场统一起来考虑时, 公众可以在货币、债券和物质资本之间进行选择, 财政当局不再是一个价格决定者, 其债券发行量成为一个内生变量, 必须服从跨时预算约束方程, 后者成为一个恒等式, 从而价格水平主要由货币当局的货币发行决定。     

Indeterminacy in a small open economy with endogenous labor supply

Summary. We establish conditions under which indeterminacy can occur in a small open economy business cycle model with endogenous labor supply. Indeterminacy requires small externalities in technologies with social constant returns to scale, independently of the intertemporal elasticities in both consumption and labor. Received: December 12, 2001; revised version: May 17, 2002 RID="*" ID="*"The paper has benefited from discussions with Jess Benhabib and Mark Weder, as well as from the comments of an anonymous referee. Correspondence to: Q. Meng     

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 economy's growth rates of real output and nominal money supply are positively related when the cash in advance constraint is applied solely to the household's 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.     

Status,Risk-Taking and Intertemporal Substitution in an Endogenous Growth Model

This paper examines intertemporal risk-taking in a stochastically growing economy with externalities in human capital accumulation where agents have preferences for social status. In order to isolate the effects of status concerns on long-run expected growth, the analysis is embedded in a non-expected utility setting, which disentangles the effects from risk aversion and intertemporal substitution. We examine the interaction between status desire and risk, risk aversion and intertemporal substitution. The externalities generated by the status game are able to correct the allocative distortions from the knowledge spillovers.Acknowledgement The author would like to thank an anonymous referee for his valuable comments.     

(In)determinacy, increasing returns, and the optimality of the Friedman rule in an endogenously growing open economy

This paper sets up a monetary endogenous growth model with Benhabib–Farmer production externalities for an open economy, and then uses it to investigate the possibility of indeterminacy. Moreover, the paper examines how the monetary authorities will set its optimal anchor of the money growth rate from the viewpoint of welfare maximization. Several main findings emerge from the analysis. First, when investment does not involve adjustment costs, the monetary equilibrium is locally determinate regardless of the strength of the labor externality and the extent of world capital market imperfections. Second, in the presence of investment adjustment costs, the monetary equilibrium may exhibit indeterminacy when the aggregate increasing returns-to-scale in production is sufficiently strong. Third, in the presence of world capital market imperfections, the Friedman rule of a zero nominal interest rate fails to be optimal. Fourth, in the face of perfect world capital markets, the optimal nominal money growth rate is maintained at the rate that is conformable to the Friedman rule, regardless of whether investment involves adjustment costs or not.