Real Business Cycle Model Research Articles

Can Intangible Capital Explain Cyclical Movements in the Labor Wedge?

Intangible capital is an important factor of production in modern economies that is generally neglected in business cycle analyses. We demonstrate that intangible capital can have a substantial impact on business cycle dynamics, especially if the intangible is complementary with production capacity. We focus on customer capital: the capital embodied in the relationships a firm has with its customers. Introducing customer capital into a standard real business cycle model generates a volatile and countercyclical labor wedge, due to a mismeasured marginal product of labor. We also provide new evidence on cyclical variation in selling effort to discipline the exercise.

Uncertainty, Financial Frictions, and Investment Dynamics

Micro- and macro-level evidence indicates that fluctuations in idiosyncratic uncertainty have a large effect on investment; the impact of uncertainty on investment occurs primarily through changes in credit spreads; and innovations in credit spreads have a strong effect on investment, irrespective of the level of uncertainty. These findings raise a question regarding the economic significance of the traditional "wait-and-see" effect of uncertainty shocks and point to financial distortions as the main mechanism through which fluctuations in uncertainty affect macroeconomic outcomes. The relative importance of these two mechanisms is analyzed within a quantitative general equilibrium model, featuring heterogeneous firms that face time-varying idiosyncratic uncertainty, irreversibility, nonconvex capital adjustment costs, and financial frictions. The model successfully replicates the stylized facts concerning the macroeconomic implications of uncertainty and financial shocks. By influencing the effective supply of credit, both types of shocks exert a powerful effect on investment and generate countercyclical credit spreads and procyclical leverage, dynamics consistent with the data and counter to those implied by the technology-driven real business cycle models.

Oil Consumption, Economic Growth, and Oil Futures: A Fundamental Alternative to Financialization

I present new evidence on the relations between oil consumption, oil prices, and economic growth, and build on this evidence to develop a real business cycle model to study oil prices. The model features oil driven long-run productivity risk and recursive preferences, and an oil good which is used for both production and nal consumption. Calibrated model results can match the relations between oil prices and economic quantities, and can rationalize changes in oil futures markets from 2005 to 2012 as a consequence of a decrease in the responsiveness of the oil supply to prices. The results also suggest a link between increasing North American oil production and more recent changes in futures markets.

OccBin: A Toolkit for Solving Dynamic Models with Occasionally Binding Constraints Easily

We describe how to adapt a first-order perturbation approach and apply it in a piecewise fashion to handle occasionally binding constraints in dynamic models. Our examples include a real business cycle model with a constraint on the level of investment and a New Keynesian model subject to the zero lower bound on nominal interest rates. We compare the piecewise linear perturbation solution with a high-quality numerical solution that can be taken to be virtually exact. The piecewise linear perturbation method can adequately capture key properties of the models we consider. A key advantage of this method is its applicability to models with a large number of state variables.

REAL BUSINESS CYCLES AFTER THREE DECADES

The transcript of a panel discussion marking three decades of the real business cycle approach to macroeconomic analysis as manifested in Kydland and Prescott's “Time to Build” (Econometrica, 1982) and Long and Plosser's “Real Business Cycles” (Journal of Political Economy, 1983). The panel consists of Edward Prescott, Finn Kydland, Charles Plosser, John Long, Thomas Cooley, and Gary Hansen. The discussion is moderated by Sumru Altug and Warren Young. The panel touches on a wide variety of issues related to real business cycle models, including their history and methodology, starting with the work of Prescott and Kydland at Carnegie Tech and Plosser and Long at Rochester; their applications to policy; and their role in the recent financial crisis and likely future.The panel discussion was held in a session sponsored by the History of Economics Society at the Allied Social Sciences Association (ASSA) meetings in the Randle A Room of the Manchester Grand Hyatt Hotel in San Diego, California.

Intensity-Based Permit Quotas and the Business Cycle: Does Flexibility Pay Off?

Tradable permit markets for carbon dioxide (C02) emissions respond to short-run fluctuations in economic activity. To provide stability, both price and quantity interventions have been proposed. This paper focuses on the relative performance of fixed versus intensity allowances in the presence of both productivity and energy price uncertainty. Both instruments achieve the same steady-state emissions reduction target of 20 percent, which is similar to the current policy proposals, and the regulator then chooses the allowance policy that has the lowest expected abatement cost. A standard real business cycle (RBC) model is used to solve for the expected abatement cost under both policies. Expected cost outcomes are compared using data from the U.S. economy as the baseline scenario. Unlike previous studies, this paper’s results show that, under a reasonable model calibration, fixed allowances outperform intensity allowances by a cost difference of as much as 30 percent.

Financial Exposure and the International Transmission of Financial Shocks

This paper analyzes the transmission mechanism of banking sector shocks in an international real business cycle model with heterogeneous bank sizes. We examine to what extent the financial exposure of the banking sector affects the transmission of foreign banking sector shocks. In our model, the more exposed domestic banks are to the foreign economy via lending to foreign firms, the greater are the spillovers from foreign financial shocks to the home economy. The model highlights the role of openness to trade and the dynamics of the terms of trade in the international transmission mechanism of banking sector shocks: spillovers from foreign banking sector shocks are greater the more open the home economy is to trade and the less the terms of trade respond to foreign shocks.

Financial Exposure and the International Transmission of Financial Shocks

This paper analyzes the transmission mechanism of banking sector shocks in an international real business cycle model, with heterogeneous bank sizes. We examine to what extent the financial exposure of the banking sector affects the transmission of foreign banking sector shocks. In our model, the more exposed domestic banks are to the foreign economy via lending to foreign firms, the greater are the spillovers from foreign financial shocks to the home economy. The model highlights the role of openness to trade, and the dynamics of the terms of trade in the international transmission mechanism of banking sector shocks. Spillovers from foreign banking sector shocks are greater the more open the home economy is to trade, and the less the terms of trade respond to foreign shocks.

Polarized Business Cycles

We are motivated by four stylized facts computed for emerging and developed economies: (i) business cycle movements are wider in emerging countries; (ii) economies in emerging countries experience greater economic policy uncertainty; (iii) emerging economies are more polarized and less politically stable; and (iv) economic policy uncertainty is positively related to political polarization. We show that a standard real business cycle (RBC) model augmented to incorporate political polarization, a 'polarized business cycle' (PBC) model, is consistent with these facts. Our main hypothesis is that fluctuations in economic variables are not only caused by innovations to productivity, as traditionally assumed in macroeconomic models, but also by shifts in political ideology. Switches between left-wing and right-wing governments generate uncertainty about the returns to private investment, and this affects real economic outcomes. Since emerging economies are more polarized than developed ones, the effects of political turnover are more pronounced. This translates into higher economic policy uncertainty and amplifies business cycles. We derive our results analytically by fully characterizing the long-run distribution of economic and fiscal variables. We then analyze the effect of a permanent increase in polarization on PBCs.

Comparative advantage, service trade, and global imbalances

The large current account deficit of the U.S. is the result of a large deficit in the goods balance and a modest surplus in the service balance. The opposite is true for Japan, Germany, and China. Moreover, I document the emergence from the mid-nineties of a strong negative relation between specialization in the export of services and the current account balances of a large sample of OECD and developing countries. Starting from these new stylized facts, I propose in this paper a service hypothesis for global imbalances, a new explanation based on the interplay between the U.S. comparative advantage in services and the asymmetric trade liberalization process in goods trade versus service trade that took place starting in the mid-nineties. First, I use a structural gravity model to show that service trade liberalization lagged behind goods trade liberalization, and I quantify the extent of this asymmetry. Second, I show that a simple two-period model can rationalize the emergence of current account deficits in the presence of such asymmetric liberalization. The key inter-temporal mechanism is the asymmetric timing of trade policies, which affects saving decisions. Finally, I explore the quantitative relevance of this explanation for global imbalances. I introduce trade costs in an otherwise standard 2-sector 2-country international real business cycle model. When fed with the asymmetric trade liberalization path found in the data, the model generates a trade deficit of about 5% of GDP. I conclude that the service hypothesis for global imbalances is quantitatively relevant.

A real business cycle model with tradable and non-tradable goods for the Spanish economy

Over the last years, the business cycles of the Spanish economy have been analyzed from different points of view. Under the paradigm of the real business cycles, the standard model has been extended in several dimensions. However, none of them have taken into account the fact that in this economy the presence of non-tradable goods is one of the largest in the world. When this feature is properly taken into account, the modeled real business cycle small open economy, calibrated for Spanish data, is able to explain several distinct stylized facts for this economy. In particular, it explains the larger than standard volatility of private consumption, and the different cyclical properties of inflation for non-tradable and tradable goods. Furthermore, the theoretical model is able to adequately explain some other cyclical properties of Spanish macroeconomic variables, both at the aggregate and sectoral levels.

On Optimal Emission Control Taxes, Substitution and Business Cycles

This paper studies the cyclical properties of optimal emission taxes and emissions using a real business cycle model with a stock pollutant. We derive conditions for the procyclicality of optimal emission tax and show that the tax is in typical conditions procyclical. The possibility of a countercyclical behavior of the emission tax increases if 1) the pollution is short-lived and the emission transfer into environmental damages rapidly 2) emissions are countercyclical, 3) marginal damages are strongly increasing and 4), in disutility case, the marginal utility of consumption increases with the increase in the intensity of the harmful environmental process. In the climate change context we show that the optimal carbon tax is procyclical irrespectively on the production technology. Instead, the technology is a key determinant of the cyclicality of the emissions. The optimal carbon tax correlates almost fully with the consumption and as a rule-of thumb, it could be indexed to the consumption level of the economy. The relative scale of tax deviations relative to the consumption deviations is determined by the inverse of the intertemporal elasticity of substitution. Comparison between the optimal emission tax and an optimally set constant emission tax shows that the constant tax leads to very slightly higher emissions but the general economic effects are next to negligible.

FAT-TAIL DISTRIBUTIONS AND BUSINESS-CYCLE MODELS

Recent empirical findings suggest that macroeconomic variables are seldom normally distributed. For example, the distributions of aggregate output growth-rate time series of many OECD countries are well approximated by symmetric exponential-power (EP) densities with Laplace fat tails. In this work, we assess whether real business cycle (RBC) and standard medium-scale New Keynesian (NK) models are able to replicate this statistical regularity. We simulate both models, drawing Gaussian- vs Laplace-distributed shocks, and we explore the statistical properties of simulated time series. Our results cast doubts on whether RBC and NK models are able to provide a satisfactory representation of the transmission mechanisms linking exogenous shocks to macroeconomic dynamics.

External Habit in a Production Economy

A unified framework for understanding asset prices and aggregate fluctuations is critical for understanding both issues. I show that a real business cycle model with external habit preferences and capital adjustment costs provides one such framework. The estimated model matches the first two moments of the equity premium and risk-free rate, return and dividend predictability regressions, and the second moments of output, consumption, and investment. The model also endogenizes a key mechanism of consumption-based asset pricing models. In order to address the Shiller volatility puzzle, external habit, long-run risk, and disaster models require the assumption that the volatility of marginal utility is countercyclical. In the model, this countercyclical volatility arises endogenously. Production makes precautionary savings effects show up in consumption. These effects lead to countercyclical consumption volatility and countercyclical volatility of marginal utility. External habit amplifies this channel and makes it quantitatively significant.

Safety Traps

Fear of risk provides a rationale for protracted economic downturns. We develop a real business cycle model where investors with decreasing relative risk aversion choose between a risky and a safe technology that exhibit decreasing returns. Because of a feedback effect from the interest rate to risk aversion, two equilibria can emerge: a standard equilibrium and a “safe” one in which investors invest in safer assets. We refer to the dynamics of this second equilibrium as a safety trap because it is self-reinforcing as investors accumulate more wealth and show it to be consistent with Japan's lost decade. (JEL D14, E13, E21, E22, E23, E32)

Accuracy, Speed and Robustness of Policy Function Iteration

Policy function iteration methods for solving and analyzing dynamic stochastic general equilibrium models are powerful from a theoretical and computational perspective. Despite obvious theoretical appeal, significant startup costs and a reliance on grid-based methods have limited the use of policy function iteration as a solution algorithm. We reduce these costs by providing a user-friendly suite of MATLAB functions that introduce multi-core processing and Fortran via MATLAB's executable function. Within the class of policy function iteration methods, we advocate using time iteration with linear interpolation. We examine a canonical real business cycle model and a new Keynesian model that features regime switching in policy parameters, Epstein---Zin preferences, and monetary policy that occasionally hits the zero-lower bound on the nominal interest rate to highlight the attractiveness of our methodology. We compare our advocated approach to other familiar iteration and approximation methods, highlighting the tradeoffs between accuracy, speed and robustness.

A note on firm entry, markups and the business cycle

This paper proposes a monetary model with firm entry as a means for alleviating the difficulties of real business cycle models in reproducing the smoothness and persistence of macroeconomic variables together with the volatility of profits and markups. Simulations show that my baseline model matches the unconditional moments of consumption, output, hours, markups and profits in US data fairly well. In addition, it implies a positive effect of a monetary expansion on business formation as in the data. Allowing for differences in the composition of the investment and the consumption baskets is essential for these results.

Accuracy, Speed and Robustness of Policy Function Iteration

Policy function iteration methods for solving and analyzing dynamic, stochastic general equilibrium models are powerful from both a theoretical and computational perspective. Despite obvious theoretical appeal, significant startup costs and a reliance on a grid-based method have limited the use of policy function iteration as a solution algorithm. We reduce these costs by providing a user-friendly suite of MATLAB functions that introduce multi-core processing and Fortran via MATLAB's executable function. We demonstrate why policy function iteration is particularly useful in solving models with regime-dependent parameters, recursive preferences, and binding constraints. We examine a canonical real business cycle model and a new Keynesian model that features regime switching in policy parameters, Epstein-Zin preferences, and monetary policy that occasionally hits the zero-lower bound to highlight the attractiveness of our methodology. We compare our advocated approach to other familiar computational methods, highlighting the tradeoffs between accuracy and speed.

Equity Returns and Business Cycles in Small Open Economies

This is the first paper in the dynamic stochastic general equilibrium literature to match key business cycle moments and long-run equity returns in a small open economy with production. These results are achieved by introducing four modifications to a standard real business cycle model: (i) borrowing and lending costs are imposed to increase the volatility of the marginal rate of substitution over time, (ii) capital adjustment costs are assumed to make equity returns more volatile, (iii) GHH preferences are employed to smooth consumption, and (iv) a working capital constraint to generate countercyclical trade balances. Our results are based on data from Argentina, Brazil, and Chile.

Asset Returns, the Business Cycle and the Labor Market

Abstract We review the labor market implications of recent real-business cycle and New Keynesian models that successfully replicate the empirical equity premium. We document the fact that all models reviewed in this article that do not feature either sticky wages or immobile labor between two production sectors as in Boldrin et al. (2001) imply a negative correlation of working hours and output that is not observed empirically. Within the class of Neo-Keynesian models, sticky prices alone are demonstrated to be less successful than rigid nominal wages with respect to the modeling of the labor market stylized facts. In addition, monetary shocks in these models are required to be much more volatile than productivity shocks to match statistics from both the asset and labor market.