Real Business Cycle Model Research Articles

News, disaster risk, and time-varying uncertainty

Standard real business cycle models are often unable to replicate three empirical facts: positive output in response to good news, stochastic volatility of macro variables, and asymmetric business cycles. This paper proposes a unified basis for understanding these facts in a tractable dynamic stochastic general equilibrium (DSGE) model, in which the key is the interaction of information flows and disaster risk. Information flows fluctuate between two regimes with different precision levels for signals regarding future economic fundamentals. A shift in forecast precision changes the probability of entering an economic disaster. High disaster risk leads to low expected capital returns and a decline in hours, investment, and output. Changing information structures results in different volatility and skewness over the business cycle. Simple theory makes the two expectation effects through information flows and disaster risk transparent. Quantitatively, the model suggests that the interaction of the two expectation effects plays a significant role in accounting for the higher-order moments of the business cycle.

Aggregate Stability and Balanced-Budget Rules

It has been shown that under perfect competition and a Cobb-Douglas production function, a basic real business cycle model may exhibit indeterminacy and sunspot fluctuations when income tax rates are determined by a balanced-budget rule (BBR). This paper introduces in an otherwise standard real business cycle model a more general and data-coherent class of production functions, namely, a constant elasticity of substitution production function. We show that the degree of substitutability between production factors is a key ingredient to understanding the (de)stabilizing properties of a BBR. Then we calibrate the model consistently with the empirical evidence; that is, we set the elasticity of substitution between labor and capital below unity. We show that compared to the Cobb-Douglas case, the likelihood of indeterminacy under a BBR is greatly reduced in the U.S., the EU, and the UK.

Adverse Selection, Risk Sharing and Business Cycles

I consider a real business cycle model in which agents have private information about an idiosyncratic shock to their value of leisure. I consider the mechanism design problem for this economy and describe a computational method to solve it. This is an important contribution of the paper since the method could be used to solve a wide class of models with heterogeneous agents and aggregate uncertainty. Calibrating the model to U.S. data I find a striking result: That the information frictions that plague the economy have no effects on business cycle fluctuations.

Sectoral asymmetries in a small open economy

This paper explores the sectoral dimension of emerging market business cycles by building a two-sector small open economy real business cycle model featuring a working capital requirement, variable capital utilization and imported inputs in production. The primary finding is that the price of imported inputs and nontradable sector productivity are the two most important sources of macroeconomic fluctuations in a typical emerging market economy. Interest rates and the price of imported final goods also play a significant role in driving investment and import fluctuations. The model also produces significant sectoral asymmetry, especially in response to interest rate shocks. Variable capital utilization acts as a strong propagation mechanism.

Volatility Modelling of CO2 Emission Allowance Spot Prices with Regime-Switching GARCH Models

We analyse the short-term spot price of European Union Allowances (EUAs), which is of particular importance in the transition of energy markets and for the development of new risk management strategies. Due to the characteristics of the price process, such as volatility persistence, breaks in the volatility process and heavy-tailed distributions, we investigate the use of Markov switching GARCH (MS-GARCH) models on daily spot market data from the second trading period of the EU ETS. Emphasis is given to short-term forecasting of prices and volatility. We find that MS-GARCH models distinguish well between two states and that the volatility processes in the states are clearly dierent. This finding can be explained by the EU ETS design. Our results support the use of MS-GARCH models for risk management, especially because their forecasting ability is better than other Markov switching or simple GARCH models.

OccBin: A toolkit for solving dynamic models with occasionally binding constraints easily

The toolkit adapts a first-order perturbation approach and applies it in a piecewise fashion to solve dynamic models with occasionally binding constraints. 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. Compared with a high-quality numerical solution, the piecewise linear perturbation method can adequately capture key properties of the models we consider. A key advantage of the piecewise linear perturbation method is its applicability to models with a large number of state variables.

Progressive taxation and macroeconomic (in)stability with utility-generating government spending

We examine the theoretical interrelations between progressive income taxation and macroeconomic (in)stability in an otherwise standard one-sector real business cycle model with utility-generating government purchases of goods and services. When private and public consumption expenditures are complements in the household utility and the tax schedule is progressive, we analytically show that the economy exhibits indeterminacy and sunspots if and only if the degree of government-spending preference externality is higher than a critical threshold. Unlike traditional Keynesian-type stabilization policies, raising the tax progressivity may destabilize this version of our model by generating endogenous cyclical fluctuations. Moreover, the economy always displays saddle-path stability and equilibrium uniqueness under utility substitutability between private and public consumptions and progressive taxation.

Implications of Labor Market Frictions for Risk Aversion and Risk Premia

A flexible labor margin allows households to absorb shocks to asset values with changes in hours worked as well as changes in consumption. This ability to absorb shocks along both margins can greatly alter the household’s attitudes toward risk, as shown in Swanson (2012). The present paper analyzes how frictional labor markets affect that analysis. Risk aversion is higher: 1) in recessions, 2) in countries with more frictional labor markets, and 3) for households that have more difficulty finding a job. These predictions are consistent with empirical evidence from a variety of sources. Traditional, fixed-labor measures of risk aversion show no stable relationship to the equity premium in a standard real business cycle model with search frictions, while the closed-form expressions derived in the present paper match the equity premium closely.

The equity premium in a small open economy and an application to Israel

We show that the preferences suggested by Greenwood, Hercowitz and Huffman (GHH), which are quite common in real business cycle (RBC) models of small open economies, are not suited for reproducing both the business cycle and the equity premium facts of a small open economy. We show that by assuming a moderate degree of a wealth effect on labor supply, together with some limitations on labor supply (in the form of real wage rigidity), we can increase the volatility of the stochastic discount factor (SDF), thereby increasing the equity premium and improving the fit of the business cycle moments. We also find that under the aforementioned assumptions, a shock to the realized return on foreign bonds can help in reproducing the equity premium.

Firing tax vs severance payments – an unequal comparison

Purpose– The purpose of this paper is to compare two elements of lay-off costs in a dynamic model of the labor market and analyze the differences for business cycle dynamics and welfare.Design/methodology/approach– The paper builds a general equilibrium Real Business Cycle model and introduces firing costs and severance payments. Labor market frictions are assumed to follow the famous search and matching approach.Findings– The paper finds that firing costs imply a higher volatility over the cycle and have stronger negative welfare effects. Severance payments have a lower volatility, reduce unemployment, and reduce welfare by a smaller amount.Practical implications– Policy reforms should be aimed to use severance payments and reduce the ring cost component of lay-off costs.Originality/value– Increasing welfare and a more stable business cycle could be supported by using severance payments instead of firing costs.

External Habit in a Production Economy: A Model of Asset Prices and Consumption Volatility Risk

A standard real business cycle model with external habit and capital adjustment costs matches a long list of asset price and business cycle moments: equity, firm value, and risk-free rate volatility; the equity premium; excess return predictability; consumption growth predictability; basic moments of consumption, output, and investment; and more. The model also generates endogenous consumption volatility risk. Precautionary savings motives make consumption sensitive to shocks in bad times, leading to countercyclical volatility, even with homoskedastic technology shocks. Habit acts as countercyclical leverage, which amplifies this channel. Habit also implies high risk aversion, which amplifies the stock price response.

SECTORAL COMPOSITION OF GOVERNMENT SPENDING AND MACROECONOMIC (IN)STABILITY

This article examines the quantitative interrelations between sectoral composition of public spending and equilibrium (in)determinacy in a two‐sector real business cycle model with positive productive externalities in investment. When government purchases of consumption and investment goods are set as constant fractions of their respective sectoral output, we show that the public‐consumption share plays no role in the model's local dynamics, and that a sufficiently high public‐investment share can stabilize the economy against endogenous belief‐driven cyclical fluctuations. When each type of government spending is postulated as a constant proportion of the economy's total output, we find that there exists a trade‐off between public consumption versus investment expenditures to yield saddle‐path stability and equilibrium uniqueness. (JEL E32, E62, O41)

Trend Shocks and the Countercyclical U.S. Current Account

From 1960-2009, the U.S. current account balance has tended to decline during expansions and improve in recessions. We argue that trend shocks to productivity can help explain the countercyclical U.S. current account. Our framework is a two-country, two-good real business cycle (RBC) model in which cross-border asset trade is limited to an international bond. We identify trend and transitory shocks to U.S. productivity using generalized method of moments (GMM) estimation. The specification that best matches the data assigns a large role to trend shocks. The estimated model generates a countercyclical current account without excessive consumption volatility.

Asset Returns and Labor Supply in a Production Economy

The introduction of an endogenous labor decision represents a challenge for models that seek to jointly explain asset pricing and business cycle facts. This paper shows that several improvements can be made if a standard real business cycle model is augmented with a novel preference specification that increases the stochastic discount factor volatility and simultaneously reduces the wealth elasticity of labor supply.

Sports and (real) business cycles

We extend a basic real business cycle model to incorporate households doing sports. Households decide on spending time at the workplace and spending time on doing sports. Sports acts as an investment in health and, thereby, affects total factor productivity. We study the implications of sports for the propagation of technology shocks and for the volatility and persistence of output at business cycle frequencies.

Polarized business cycles

Four stylized facts motivate this paper: (i) business cycle movements are wider in emerging countries (EC) than in developed ones; (ii) EC experience greater economic policy uncertainty; (iii) EC are more polarized and less politically stable; and (iv) EPU is positively related to political polarization. A standard real business cycle model augmented to incorporate political polarization, a ‘polarized business cycle’ (PBC) model, is shown to be consistent with these facts. We first derive our results analytically, and then quantify the effects of a permanent increase in polarization to the US economy.

ESTIMATING FISCAL LIMITS: THE CASE OF GREECE

SUMMARYThis paper uses Bayesian methods to estimate a real business cycle model that allows for interactions among fiscal policy instruments, the stochastic ‘fiscal limit’ and sovereign default. Using the particle filter to perform likelihood‐based inference, we estimate the full nonlinear model with post‐EMU data until 2010:Q4. We find that (i) the probability of default on Greek debt was in the range of 5–10% in 2010:Q4 and (ii) the 2011 surge in the Greek real interest rate is within model forecast bands. The results suggest that a nonlinear rational expectations environment can account for the Greek interest rate path. Copyright © 2014 John Wiley & Sons, Ltd.

What (really) accounts for the fall in hours after a technology shock?

The paper asks how state of the art DSGE models that account for the conditional response of hours following a positive neutral technology shock compare in a marginal likelihood race. To that end we construct and estimate several competing small-scale DSGE models that extend the standard real business cycle model. In particular, we identify from the literature six different hypotheses that generate the empirically observed decline in hours worked after a positive technology shock. These models alternatively exhibit (i) sticky prices; (ii) firm entry and exit with time to build; (iii) habit in consumption and costly adjustment of investment; (iv) persistence in the permanent technology shocks; (v) labor market friction with procyclical hiring costs; and (vi) Leontief production function with labor-saving technology shocks. In terms of model posterior probabilities, impulse responses, and autocorrelations, the model favored is the one that exhibits habit formation in consumption and investment adjustment costs. A robustness test shows that the sticky price model becomes as competitive as the habit formation and costly adjustment of investment model when sticky wages are included.

Structural VARs, Deterministic and Stochastic Trends: Does Detrending Matter?

We highlight how detrending within Structural Vector Autoregressions (SVAR) is directly linked to the shock identification. Consequences of trend misspecification are investigated using a prototypical Real Business Cycle model as the Data Generating Process. Decomposing the different sources of biases in the estimated impulse response functions, we find the biases arising directly from trend misspecification are not trivial when compared to other widely studied misspecifications. Our example also illustrates how misspecifying the trend can also distort impulse response functions of even the correctly detrended variable within the SVAR system.

Asset prices in affine real business cycle models

I describe a tractable way to study macroeconomic quantities and asset prices in a large class of dynamic stochastic general equilibrium models. The proposed approximate solution is analytical, log-linear, and adjusted for risk. Therefore, it is well suited to investigate economic mechanisms, describe the time series properties or estimate the model, and deal with stochastic volatility. I explain the pitfalls encountered by previous attempts to use simple approximation techniques, in particular with models featuring recursive preferences. Finally, I show the theoretical relationship between my solution and higher-order perturbation methods.