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.     

Intermediate Macroeconomics without the IS-LM Model

The IS-LM model is the primary model of economic fluctuations taught in intermediate-level undergraduate macroeconomics. Recent works by Taylor and Romer make a strong case for an alternative model, known as the aggregate demand-price adjustment (AD-PA) or the aggregate demand-inflation adjustment (AD-IA) model, as a better model of economic fluctuations. The author argues that the AD-PA model is superior to the IS-LM model for teaching about economic fluctuations in intermediate macroeconomics. He compares the perfomance of the two models in teaching about two important issues in current macroeconomics: the ineffectiveness of monetary policy in stimulating the 1990s Japanese economy and the rapid switch of the U.S. Federal Reserve from contractionary policy to expansionary policy in 2001.     

Elasticity of substitution and growth: normalized CES in the Diamond model

Summary. It is often asserted that the more substitutable capital and labor are in the aggregate production the more rapidly an economy grows. Recently this has been formally confirmed within the Solow model by Klump and de La Grandville (2000). This paper demonstrates that there exists no such monotonic relationship between factor substitutability and growth in the Diamond overlapping-generations model. In particular, we prove that, if capital and labor are relatively substitutable, a country with a greater elasticity of substitution exhibits lower per capita output growth in transit and in steady state. Received: October 27, 2001; revised version: February 25, 2002     

Uninsured idiosyncratic risk, liquidity constraints and aggregate fluctuations

Summary. I study the role played by uninsured idiosyncratic risk and liquidity constraints in the propagation of aggregate fluctuations. To this purpose, I compare the aggregate fluctuations of two model economies that differ in their insurance technologies only. In one of these model economies liquidity constrained households vary their holdings of a nominally denominated asset in order to buffer an uninsured idiosyncratic shock to their individual production opportunities. In the other economy every idiosyncratic component of risk can be costlessly insured. I find that the limited insurance technology implies fluctuations in output that are 20% larger, fluctuations in hours relative to output that are 9% larger, fluctuations in consumption relative to output that are 18% smaller, and a correlation of hours and productivity that is 15% smaller than those that obtain under the full insurance technology. Received: March 6, 1996; revised version August 15, 1996     

The product innovation process and GDP dynamics

In this paper, we explain GDP dynamics through an analysis of the forces that modify the structure of the economy. These forces are represented by the entry of new firms and product innovations. Our model is inspired by Bak’s sand pile model, and the entry of a new firm or innovation is comparable to dropping a grain of sand in Bak’s model. The resulting model involves the insights of both Keynes and Schumpeter. It could be defined as Keynesian because the aggregate output is demand driven. That said, the model can mainly be labeled as Schumpeterian for several reasons: (i) innovations have a key role, (ii) credit is involved in supporting the innovation process, (iii) innovations partially destroy old industries, and finally (iv) without innovations, the system gradually approaches its stationary state. In this simple model, the change in the number of sectors (products) of the economy is the decisive factor with the following results: (1) the aggregate production has an increasing trend; (2) fluctuations are asymmetric; (3) recessions have a “creative destruction” explanation; (4) “classical” cycles are gradually replaced by “growth” cycles.     

FIRING COSTS AND BUSINESS CYCLE FLUCTUATIONS*

This article considers a real business cycle model with establishment level dynamics and uses it to analyze the effects of firing taxes. It finds that firing taxes can have significant consequences on business cycle fluctuations, that the largest effects are on aggregate employment, and that even relatively small firing taxes have substantial effects. A significant contribution of the article is computational: It describes how to use standard linear‐quadratic methods to solve for a stochastic equilibrium of an (S,s) economy with tax distortions.     

Quasi-fundamental exchange rate variation

Summary. This paper uses a general equilibrium model to study the determination of the exchange rate in an economy with fundamental uncertainty. The model has steady state equilibria in which the exchange rate is constant. These equilibria may coexist with “quasi-fundamental” equilibria – nonstationary equilibria in which the exchange rate displays stochastic fluctuations that are correlated with the fluctuations in fundamental random variables. The quasi-fundamental equilibria are Pareto dominated by the corresponding constant-exchange-rate steady states. They also converge to these steady states, inevitably or with positive probability. Received: October 2, 1999; revised version: March 26, 2002 RID="*" ID="*" This paper began as a joint project with Alex Mourmouras, who has made many helpful comments and suggestions but is not responsible for any errors or deficiencies. In addition, I thank an anonymous referee for helpful comments.     

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.     

State of confidence,overborrowing and macroeconomic stabilization in out-of-equilibrium dynamics

We model macroeconomic instability as the outcome of the dynamic interaction between debt accumulation and the “state of confidence” in a small open economy with a super-fixed exchange-rate arrangement. We use a system dynamic approach and show that instability is a likely feature when macroeconomic behaviour is characterized by out-of-equilibrium dynamics with balance-sheet effects and deviation amplifying expectation formation rules that interact endogenously. We address the issue of the macroeconomic stabilization puzzle and carry out a quantitative evaluation based on sensitivity analysis with reference to Argentina, during the currency-board arrangement. We find that a tight fiscal policy is likely to be destabilizing inasmuch as it adds to the fall in expenditure, output and the “state of confidence”. On the other side, a traditional monetary policy can fail in switching off macroeconomic instability if the reduction in interest rates does not compensate for the fall in the “state of confidence”, whilst a direct stimulus to aggregate expenditure is required to avoid an economic collapse.     

Endogenous fluctuations induced by nonlinear pollution accumulation in an OLG economy and the bifurcation control

This paper aims to study the influence of nonlinear pollution accumulation on economic growth by incorporating the nonlinear pollution accumulation into an OLG model. It is shown that the nonlinearity can yield very complex dynamics, including the flip bifurcation resulting in sustained fluctuations in economy. This indicates that the nonlinear pollution accumulation can be a source of intergenerational inequity. To stabilize the complex motion and thus to control the fluctuations, a bifurcation control method from control theory is proposed. The welfare analysis shows the sustainable development criterion can be met in the controlled system but not in the original system.     

Two‐level CES Production Technology in the Solow and Diamond Growth Models*

The two‐level CES aggregate production function—that nests a CES into another CES function—has recently been used extensively in theoretical and empirical applications of macroeconomics. We examine the theoretical properties of this production technology and establish existence and stability conditions of steady states under the Solow and Diamond growth models. It is shown that in the Solow model the sufficient condition for a steady state is fulfilled for a wide range of substitution parameter values. This is in sharp contrast with the two‐factor Solow model, where only an elasticity of substitution equal to one is sufficient to guarantee the existence of a steady state. In the Diamond model, multiple equilibria can occur when the aggregate elasticity of substitution is lower than the capital share. Moreover, it is shown that for high initial levels of capital and factor substitutability, the effect of a further increase in a substitution parameter on the steady state depends on capital–skill complementarity.     

Endogenous growth cycles in an overlapping generations model with investment gestation lags

Summary. A simple overlapping generations model with investment gestation lags is constructed. The model shows that, if the technology is of the AK type with capital-deepening externalities, the existence of investment gestation lags always generates permanent cyclical fluctuations in the economic growth rate. The mean growth rate is shown to be positive if the external effect is strong. The model also shows that, if the production technology takes the Cobb-Douglas form, there exists a unique steady state in which the economy exhibits neither cyclical fluctuations nor long-run growth.Received: 3 July 2003, Revised: 3 December 2003, JEL Classification Numbers: E32, B13. Correspondence to: Akiomi KitagawaAkiomi Kitagawa, Akihisa Shibata: The authors would like to thank Yasushi Iwamoto, Kazuo Mino, an anonymous referee and seminar participants at the Macroeconomics Workshop for their helpful comments and suggestions. Financial support from the Ministry of Education, Culture, Sports, Science and Technology of Japan is gratefully acknowledged.     

Endogenous business cycles and systematic stabilization policy*

We study the effects of fiscal policy rules on the determinacy of rational expectations equilibrium in a perfectly competitive monetary model with constant returns. Government spending implies a distortion of the monetary steady state due to the implied taxation. We show that policy rules that let the GNP share of government spending depend sufficiently negatively on increases in GNP stabilize the economy with respect to endogenous fluctuations for arbitrarily little distortion of the steady state at which stabilization occurs. The rules do not involve lump‐sum taxation, negative income taxation, or exact knowledge of the economy's laissez‐faire steady state.     

Global slack and domestic inflation rates: A structural investigation for G-7 countries

Recent papers have argued that one implication of globalization is that domestic inflation rates may have now become more a function of “global”, rather than domestic, economic conditions, as postulated by closed-economy Phillips curves.This paper aims to assess the empirical importance of global output in determining domestic inflation rates by estimating a structural model for a sample of G-7 economies. The model can capture the potential effects of global output fluctuations on both the aggregate supply and the aggregate demand relations in the economy and it is estimated using full-information Bayesian methods.The empirical results reveal a significant effect of global output on aggregate demand in most countries. Through this channel, global economic conditions can indirectly affect inflation. The results, instead, do not seem to provide evidence in favor of altering domestic Phillips curves to include global slack as an additional driving variable for inflation.     

Multinational production,exports and aggregate productivity

This paper presents and estimates a dynamic model of multinational production (MP) and exports with heterogeneous firms. The model highlights the interaction between firms' location and export decisions and their effect on aggregate productivity. The model is structurally estimated using firm-level Indonesian manufacturing data. The results are broadly consistent with the pattern of productivity, exports and MP across firms. Counterfactual experiments suggest that there are substantial productivity gains due to international trade and MP. The implied changes in steady state real wages, however, are relatively small. The experiments emphasize that the nature of firm-level trade and MP interactions are crucial to determining the aggregate effects of trade and foreign direct investment policy.     

Aggregate fluctuations, financial constraints and risk sharing

Summary. Private information and costly state verification often result in credit rationing in models with smooth investment, affecting both loan size and total investment. The optimal contract is derived in a dynamic stochastic growth model with capital for two types of models: one with symmetric information and the other with asymmetric information and costly state verification. When all information is observed costlessly, the equilibrium optimal contract provides complete insurance to risk-averse savers against aggregate fluctuations. When information is asymmetric and there is costly state verification, the equilibrium optimal contract provides only partial insurance against aggregate shocks. The extent of insurance is measured by the marginal rate of transformation of consumption between borrowers and lenders which is closely linked to the user cost of capital. The deadweight monitoring costs create a wedge between a borrower's cost of capital and a lender's stochastic discount factor, with two results: (i) fluctuations in the user cost of capital provides a mechanism by which aggregate shocks can be␣propagated; (ii) the distribution of capital's share of output among borrowers, lenders, and monitoring costs varies even if capital's share is constant. Capital market frictions not only amplify aggregate fluctuations but also generate cross-sectional fluctuations that may not be observable in aggregate data. Received: November 17, 1997; revised version: April 20, 1998     

On R&D spillovers, multiple equilibria and indeterminacy

Empirical studies often find significant and positive R&D spillovers across firms. In this note, we incorporate this spillover effect into a scale-invariant quality-ladder model. We find that the modified model features multiple steady states (1) a high-R&D steady state, (2) a low-R&D steady state and (3) a zero-R&D steady state. As for dynamics, when R&D spillovers are small, only the zero-R&D steady state is stable, and it emerges as a no-growth trap. In this case, the economy is subject to sunspot fluctuations around this trap (i.e., local indeterminacy). When R&D spillovers are large, both the zero-R&D and high-R&D steady states are stable and locally indeterminate. In this case, increasing patent breadth may cause the high-R&D steady state to become unstable and the economy to converge to the no-growth trap. Therefore, strengthening patent protection may stifle innovation through the occurrence of a bifurcation.     

Long horizon versus short horizon planning in dynamic optimization problems with incomplete information

Summary. This paper compares the implications of short and long horizon planning in dynamic optimization problems with the structure of a standard one-sector growth model if agents have incomplete knowledge about the production function. Agents know the output and rate of return at the current capital stock and use an estimation of the production function based on this knowledge to determine current consumption. For standard utility functions without wealth-effects both long and short planning horizons yield convergence to the steady state - however at a faster rate than optimal -, or fluctuations around the steady state, and in both cases, long horizon planning yields a policy which locally at the steady state is closer to the optimal one than short horizon planning. On the other hand, for preferences with wealth effects where the intertemporal optimal path exhibits fluctuations, long horizon planning destabilizes the path and short horizon planning can generate paths which are qualitatively closer to the optimal one and yield higher discounted utility.Received: 5 April 2001, Revised: 15 September 2003, JEL Classification Numbers: C61, D83, D90.Herbert Dawid: The author would like to thank Richard Day for numerous stimulating discussions which led to this article and an anonymous referee for helpful comments     

Endogenous technological progress in a multi-sector growth model

This paper presents an endogenous growth model driven by human capital, where human capital can be allocated across three sectors: the production of the final consumption good, the educational sector and the production of technological capital (in the form of knowledge or ideas). In our model, which also includes public expenditure and population growth, labor augmenting technical progress is endogenous and this enriches the transitional dynamics of the economy. With respect to ideas-based growth models, we assume knowledge is produced according to a neoclassical technology, combining ideas and human capital. Such an assumption is motivated by empirical works showing the existence of significant decreasing returns in the creation of ideas at the aggregate level (as Kortum, 1993; and Pessoa, 2005) and of the weak relationship between some inputs of the knowledge production process (as the number of researchers) and the total factor productivity growth rate (as Jones, 2002). Under some general conditions, this economy exhibits the existence of a steady state equilibrium and an unstable multidimensional manifold. Numerical examples are provided to show the existence of stable arms.     

Financial market imperfections and monetary policy strategy

In a model with imperfect money, credit and reserve markets, we examine if an inflation-targeting central bank applying the funds rate operating procedure to indirectly control market interest rates also needs a monetary aggregate as policy instrument. We show that if private agents use information extracted from money and financial markets to form inflation expectations and if interest rate pass-through is incomplete, the central bank can use a narrow monetary aggregate and the discount interest rate as independent and complementary policy instruments to reinforce the credibility of its announcements and the role of inflation target as a nominal anchor for inflation expectations. This study shows how a monetary policy strategy combining inflation targeting and monetary targeting can be conceived to guarantee macroeconomic stability and the credibility of monetary policy. Friedman's k-percent money growth rule, which can generate dynamic instability, and two alternative stabilizing feedback monetary targeting rules are examined.