Irreversible investment and Knightian uncertainty

When firms make a decision about irreversible investment, they may not have complete confidence about their perceived probability measure describing future uncertainty. They may think other probability measures perturbed from the original one are also possible. Such uncertainty, characterized by not a single probability measure but a set of probability measures, is called “Knightian uncertainty.” The effect of Knightian uncertainty on the value of irreversible investment opportunity is shown to be drastically different from that of traditional uncertainty in the form of risk. Specifically, an increase in Knightian uncertainty decreases the value of investment opportunity while an increase in risk increases it.     

Financing constraints and inventories

This paper investigates the impact of financing constraints on firms’ inventory and cash management. In particular, it examines the extent to which the presence of such constraints may account for certain empirical regularities. These include, e.g., the excess variance of production vis-à-vis that of sales, as well as the counter-cyclicality and persistence of the inventory-sales ratio. We model the intertemporal decision-making on production, cash retention and dividends of a firm that is exposed to stochastic demand shocks in every period and faces constrained access to external sources of finance. It is found that the presence of financing constraints can explain the excess variance of production in a model which otherwise would not deliver this result. Moreover, as long as demand is positively serially correlated they also contribute to the counter-cyclicality and persistence of the inventory-sales ratio. The paper suggests that financing constraints should not be discarded as a factor driving the cyclical behaviour of inventories.     

Another look at the linear q model: an empirical analysis of aggregate business capital spending with maintenance expenditures

Abstract .  The paper revisits the empirical investment literature, which has established that aggregate business fixed investment is not found to be related linearly to marginal or average Tobin's q . The theoretical background is extended here by developing a supply-side model where the depreciation rate of private capital is determined endogenously. The firm can either invest in 'new' capital, which adds directly to the existing capital stock at the presence of convex adjustment costs, or extend the durability of installed capital through maintenance expenditure, which affects its depreciation rate. The model shows that Tobin's q is then a positively related sufficient statistic for both components of aggregate capital expenditures. This central implication is tested empirically using aggregate time-series survey data from Canada on 'new' investment and maintenance expenditures covering the period 1956–93. The estimated relationships produce significant and plausible parameter estimates for the structural parameters of the q model.     

The impact of exchange rate volatility on plant-level investment: Evidence from Colombia

We estimate the impact of exchange rate volatility on firms' investment decisions in a developing country setting. Employing plant-level panel data from the Colombian Manufacturing Census, we estimate a dynamic investment equation using the system-GMM estimator developed by Arellano and Bover (1995) and Blundell and Bond (1998). We find a robust negative impact of exchange rate volatility, constructed either using a GARCH model or a simple standard deviation measure, on plant investment. Consistent with theory, we also document that the negative effect is mitigated for establishments with higher mark-up or exports, and exacerbated for lower mark-up plants with larger volume of imported intermediates.     

International business cycles and the relative price of investment goods

Abstract Is the relative price of investment goods a good proxy for investment specific technology? We model this relative price in a flexible price international economy with two fundamental shocks, namely, the total factor productivity (TFP) shock and the investment‐specific technology (IST) shock. We show that the one‐to‐one correspondence between the IST shock and the relative price of investment goods breaks down in an international economy because of the short‐run correlation between the terms of trade and the relative price of investment goods. The data congruent negative correlation between the investment rate and the relative price of investment goods thus does not necessarily reflect decline in investment frictions (rise in IST), as suggested by many studies. A calibration experiment with the US data demonstrates that such an inverse relation between rate of investment and the relative price of investment goods basically reflects the positive effect of TFP on the terms of trade for a broad range of economies where the home bias in consumption exceeds investment and there is a sizable adjustment cost of investment.     

Heterogeneous producers facing common shocks: An overlapping-generations example

An analytically tractable model of a competitive, full-information economy is provided in which, for some parameter values, entry and exit over the course of the business cycle is concentrated among small firms. This model is intended to make the logical point that the relatively high sensitivity of small firms to business-cycle fluctuations does not necessarily indicate the presence of informational or incentive constraints in financial markets.     

Pursuing the wrong options? Adjustment costs and the relationship between uncertainty and capital accumulation

Abel and Eberly (1999) prove that uncertainty has an ambiguous effect on long run capital accumulation in a real options model. We show that, with adjustment costs quadratic in investment, more uncertainty reduces capital and this effect may be large.     

Information-consistent learning and shifts in long-run productivity

Recent macroeconomic research has incorporated learning in an inconsistent manner by assuming agents learn with less information than they use in optimization. We present an information-consistent learning framework and illustrate the effects of violating information-consistency.     

A business cycle model with variable capacity utilization and demand disturbances

We develop a dynamic general-equilibrium model with demand (preference) shocks, estimated using Hall's (J. Labour Economics 15 (1997) 223) residual, that replicates U.S. business cycles well, at least compared to the real business cycle models. The key factor is cyclical capital utilization, which is based on imperfect competition, slow adjustments in capital stock, and fixed requirement of labor input. We also demonstrate theoretically that a representative-agent economy with preference shocks could be viewed as the reduced form of a heterogeneous-agents economy with incomplete markets. Specifically, a heterogeneous-agents economy with incomplete markets is aggregated into a representative-agent economy with preference shocks. This result would provide a microeconomic foundation for preference shock models. It is also shown that a shock to marginal utility of consumption and a shock to marginal disutility of labor have different effects.     

Ranking investment projects

Summary. This paper describes conditions under which one investment project dominates a second project in terms of net present value, irrespective of the choice of the discount rate. The resulting partial ordering of projects has certain similarities to stochastic dominance. However, the structure of the net present value function leads to characterizations that are quite specific to this context. Our theorems use Bernstein's (1915) innovative results on the representation and approximation of polynomials, as well as other general results from the theory of equations, to characterize the partial ordering. We also show how the ranking is altered when the range of discount rates is limited or the rate varies period by period. Received: January 5, 2002; revised version: October 29, 2002 RID="*" ID="*" We thank Robert Driskill, Andrea Maneschi, Roy Radner, and participants of seminars at NYU, Notre Dame, Purdue, and Washington University for helpful comments. The present version of the paper has benefited from comments by a referee and the editor. Foster is grateful for support from the John D. and Catherine T. MacArthur Foundation through its network on Inequality and Poverty in Broader Perspective. Correspondence to: T. Mitra     

Exchange rate regime verification: An alternative method of testing for regime changes

This work proposes a change in persistence test for identifying de facto exchange rate regime changes. The results from 25 African countries show that this approach is able to identify some regime changes not captured by existing methods.     

Expectation driven business cycles with limited enforcement

We explore shocks to expected future productivity in a model with limited enforcement of financial contracts. A microfounded collateral constraint implies that good news about future productivity yield an increase in stock prices, available credit and a general economic expansion.     

Contagion of self-fulfilling financial crises due to diversification of investment portfolios

We look at two countries that have independent fundamentals, but share the same group of investors. Each country might face a self-fulfilling crisis: Agents withdrawing their investments fearing that others will. A crisis in one country reduces agents’ wealth. This makes them more averse to the strategic risk associated with the unknown behavior of other agents in the second country, increasing their incentive to withdraw their investments. Consequently, the probability of a crisis there increases. This generates a positive correlation between the returns in the two countries. Since diversification affects returns in our model, its welfare implications are non-trivial.     

Reprint of: A common-pool resource experiment with postgraduate subjects from 41 countries

This study reports results from a new series of experiments that examine the robustness of face-to-face communication as a cooperation-facilitating institution in common-pool resource settings. Results are reported from nine experiment sessions, initially designed for pedagogical purposes. The sessions were conducted between 1998 and 2007 as part of a series of summer institutes on institutional analysis and environmental change. Subjects were graduate students and professionals from diverse disciplines, representing 41 countries of residence. The participants in this study stand in sharp contrast to most previous studies, which used undergraduates who self-select into experiments by volunteering to participate. Results from these experiments substantiate earlier findings that non-binding communication can serve as an effective mechanism for solving social dilemma problems, with subjects achieving near socially efficient outcomes.     

Mixed-frequency VAR models with Markov-switching dynamics

This paper extends the Markov-switching vector autoregressive models to accommodate both the typical lack of synchronicity that characterizes the real-time daily flow of macroeconomic information and economic indicators sampled at different frequencies. The results of the empirical application suggest that the model is able to capture the features of the NBER business cycle chronology very accurately.     

Solving optimal growth models with vintage capital: The dynamic programming approach

This paper deals with an endogenous growth model with vintage capital and, more precisely, with the AK model proposed in [R. Boucekkine, O. Licandro, L.A. Puch, F. del Rio, Vintage capital and the dynamics of the AK model, J. Econ. Theory 120 (1) (2005) 39-72]. In endogenous growth models the introduction of vintage capital allows to explain some growth facts but strongly increases the mathematical difficulties. So far, in this approach, the model is studied by the Maximum Principle; here we develop the Dynamic Programming approach to the same problem by obtaining sharper results and we provide more insight about the economic implications of the model. We explicitly find the value function, the closed loop formula that relates capital and investment, the optimal consumption paths and the long run equilibrium. The short run fluctuations of capital and investment and the relations with the standard AK model are analyzed. Finally the applicability to other models is also discussed.     

Dynamic Analysis of an Endogenous Growth Model with Investment‐specific Technological Change

This paper examines a dynamically optimal subsidy policy in a continuous‐time version of the endogenous growth model developed by Krusell (Krusell, P. (1998) “Investment‐Specific R&D and the Decline in the Relative Price of Capital”, Journal of Economic Growth, vol. 3, no. 2, pp. 131–141), in which investment‐specific technological progress occurs endogenously because of R&D performed by monopolistic firms. It is demonstrated that a combination of the time‐invariant subsidy for investment and the time‐variant subsidy for R&D enables the market equilibrium to replicate the socially optimal allocation.     

Is dynamic general equilibrium a theory of everything?

Should we interpret the contributions of Edward C. Prescott and his collaborators, especially Finn Kydland and Rajnish Mehra, to dynamic general equilibrium as just a mathematical restatement of pre-Keynesian business cycle theory in the language of Arrow and Debreu? This essay advances the contrary view that Prescott has been laying the foundations for a theory of everything in macroeconomics that will stretch well beyond the frictionless environments treated in its early version. A theory of everything is an attempt to explain key empirical observations in nearly every subfield of macroeconomics from a simple, logically coherent conceptual platform with a minimum of institutional detail. After reviewing the current state of Prescott’s agenda, we examine several examples of dynamic equilibrium in economies with constant returns to scale, complete markets, idiosyncratic productivity shocks, and limited capital mobility. These examples suggest that the Solow residual controls the entire path of aggregate output if redefined more broadly to include financial, distributional and institutional variables; that the discount factor used in pricing streams of income will shift autonomously over time in response to endogenous changes in the set of unconstrained asset traders; and that a dynamic general equilibrium model with substantive frictions in financial markets goes some distance towards a joint account of well-known empirical anomalies in growth, business cycles, and asset returns.     

Does seasonality change over the business cycle? An investigation using monthly industrial production series

This paper examines the proposition that the business cycle affects seasonality in industrial production, with output being switched to the traditionally low production summer months when recent (annual) growth has been strong. This is investigated through the use of a restricted threshold autoregressive model for the monthly growth rate in a total of 74 industries in 16 OECD countries. Approximately one-third of the series exhibit significant nonlinearity, with this nonlinearity predominantly associated with changes in the seasonal pattern. Estimates show that the summer slowdown in many European countries is substantially reduced in the regime of higher recent growth.     

Illustrating extraordinary shocks causing trend breaks

Structural breaks in a trending variable have been specified as changes in the drift parameter in the trend component, but extraordinary shocks causing these breaks have not been explicitly formulated. In this paper, the Hodrick–Prescott filter is extended by assuming two kinds of variance for the system noise driving the trend component: the larger one adopted in a point of time causing a trend break, and the smaller one adopted for remaining sequences. The number and location of structural breaks are determined by information criteria. In the proposed method, extraordinary shocks themselves can be illustrated. A Monte Carlo study shows the efficacy of the proposed model. Empirical results suggest that except for the UK, extraordinary shocks in quarterly time series of industrial production are detected for remaining six developed countries. Finally, it is shown that the proposed method considerably outperforms the other competing methods in correctly detecting business cycles.