Remeasuring and decomposing stochastic trends in business cycles

This paper is motivated by the fact that the standard deviation of cyclical TFP derived from the standard approach under the stochastic trend is not even close to the real-world data. The main part of the paper devotes to developing a new method to apply geometric Brownian motion to characterize TFP in continuous time and converting it to an estimated process of random walk with drift. As a result, the drift estimate together with the lagged TFP in the random walk process are the stochastic trend of TFP and the stochastic error term in the random walk with drift process is the cyclical component of TFP. I then have two findings: the first one is that the standard deviation of cyclical TFP derived from the new approach is much closer to the real-world data; the second one is that stochastic trend of TFP can be decomposed into three parts: an initial value, a deterministic trend, and a term involved with Weiner process. Moreover, this paper argues that, by recalculating the business cycle statistics based on a rational expectations model, if we remeasure the stochastic trend and cyclical component of TFP using the new approach, then the ability of real business cycle model to mimic real-world economic fluctuations will be significantly improved.     

On the role of domestic and international financial cyclical factors in driving economic growth

ABSTRACT

We investigate the effects of (domestic and international) financial cyclical factors on the US business cycle over the period 1890–2013 using an augmented stochastic version of the neoclassical growth model. In our setting, financial factors enter as determinants of the total factor productivity cyclical pattern. By means of static and dynamic estimations we find that (i) the inclusion of financial cyclical factors improves the model’s performance; (ii) the sensitivity of economic growth to financial factors is time-varying; (iii) domestic financial factors have a key role in explaining short-run output fluctuations only in the first half of the 20th century; (iv) US business cycle fluctuations have been mainly driven by global financial factors (i.e., financial integration) over the last three decades.

JEL CODES: O40, E32, C32     

Business cycle fluctuations in Taiwan — A Bayesian DSGE analysis

This paper examines the Taiwanese economy in a small open economy DSGE model using Bayesian estimation. The model consists of two countries and 12 exogenous shocks with stochastic volatility to capture the fluctuations in the business cycle. The main results are: (1) shock innovations with stochastic volatility increase the model fit, (2) shocks originated from outside the country are important sources of fluctuations in the Taiwanese business cycle.     

The Role of Productivity and Financial Frictions in the Business Cycles of a Small Open Economy: Hong Kong 1984–2011

This paper analyzes the business cycle properties of the Hong Kong economy during the 1984–2011 period, which includes the financial crisis experienced in 1997/98 and the economic crisis of 2008–2010. We show that the volatility respectively, of output, of the growth rate of output and of real interest rates in Hong Kong are higher than the corresponding average volatility among developed economies. Furthermore, interest rates are countercyclical. We build a stochastic neoclassical small open‐economy model estimated with a Bayesian likelihood approach that seeks to replicate the main business cycle characteristics of Hong Kong, and through which we try to quantify the role played by exogenous total factor productivity (TFP) shocks (transitory and permanent), real interest rate shocks and financial frictions. The main finding is that financial frictions, jointly with the assumption that the country spread is endogenous, seem important in explaining the countercyclicality of the real interest rates.     

经济波动对城乡居民的间接福利效应差异研究

本文将经济波动对经济增速的负面影响引入福利损失模型,构建了量化经济波动对居民福利的间接影响模型,并采用1985-2007年全国以及28个省市区的城乡居民消费数据对异质居民在经济波动过程中承受的间接福利损失进行测度。研究结果表明,经济波动通过负面影响经济增速给居民带来了不容忽视的间接福利损失,忽略经济波动与经济增速的联系得到的福利损失估算值存在低估问题;无论是全国层面,还是省级层面,农村居民承受的间接福利损失都倾向于大于城镇居民。因此,为了切实提高居民的福利水平,中国政府应在保持经济增长的同时,更要重视保持城乡差异化经济的平稳性。     

Fluctuations in convex models of endogenous growth, II: Business cycle properties

Using ideas from the endogenous growth literature, we present a model of the endogenous determination of productivity growth based on individual worker decisions about human capital investment. We calibrate a version of the model to match long run growth facts from the US and study the business cycle properties of this model. This approach offers improvements along several dimensions over standard exogenous growth methodologies. Most importantly, our stochastic endogenous growth model generates much greater serial correlation in output growth and labor supply volatility relative to its real business cycle counterpart. We conclude that using the extra discipline of reproducing the trend productivity growth features of the data endogenously constitutes an important missing component from the real business cycle approach.     

经济增长风险的冲击传导和经济周期波动的“溢出效应”

在非确定性的经济环境当中 ,我们利用经济增长率的绝对离差、条件标准差和在险增长水平等三种方法度量了经济增长风险和条件波动性 ,然后利用冲击反应函数度量了经济增长水平对于经济增长风险的动态反应 ,并检验了增长水平与波动性之间的影响关系。检验结果表明 ,经济风险性和波动性与经济增长水平之间存在显著正相关关系 ,由此可以推断经济周期波动性对于经济增长水平存在“溢出效应” ,较高的经济波动性带来了经济增长水平的“风险奖励” ;同时 ,从经济风险的传导过程中可以判断 ,非确定性因素和突发事件尚未对我国经济增长的趋势水平形成显著干预 ,我国经济增长过程抵御外部冲击的能力已经得到显著提高。     

On the role of money in a business cycle model of a small open economy: The case of Spain

This paper examines the consequences of introducing a cash-in-advance constraint into a small open economy business cycle model for the Spanish case. A business cycle model is built extending Correia, Neves and Rebelo's (1995) small open economy framework and Cooley and Hansen's (1995) monetary economy. Money is introduced through a cash-in-advance constraint. The stochastic simulation of the model and its comparison to Spanish data show that the model is able to mimic i) the Dolado et al. puzzle, that is, the high volatility of private consumption for this economy; ii) the Dunlop-Tarshis observation, i.e., the negative correlation between real wages and hours worked; and iii) some cyclical features of the nominal dimension.     

Gender differences in the volatility of work hours and labor demand

This paper examines the role of heterogeneity in a real business cycle model, which traditionally has not fully captured the relative volatility of hours to output. Men and women have different cyclical volatilities in hours worked, which is robust to different filtering methods. This empirical regularity is used to motivate a standard RBC model augmented to allow for two different agents following Jaimovich et al. (2013). These two agents have identical utility functions, but face different elasticities of labor demand due to their different complementarities with capital. These estimated elasticities find that women are more complementary to capital. The calibrated model generates the cyclical volatility of work hours by gender and for the total hours worked that matches the U.S. data better than the traditional representative agent model. I then explore other extensions to this model including investigating the stability of the estimated labor demand elasticities and allowing for various Frisch elasticities of labor supply. This paper demonstrates that allowing for even broad levels of heterogeneity in a simple framework can increase the model’s tractability with the data. Since gender is important to explain U.S. business cycle dynamics, we need to carefully consider heterogeneity when analyzing counter-cyclical economic policy, as it may not have symmetric effects across assorted groups.     

Remittances over the business cycle: Theory and evidence

We examine the behaviour of remittances over the business cycle and their potential to act as a ‘stabilizer’ during periods of high business cycle volatility. Two main findings are reported. First, remittances are less volatile than other foreign currency flows and do not appear to systemically comove with business cycle fluctuations. Second, remittances are relatively stable even during episodes of sharp business cycle volatility, such as those associated with sudden stops and financial crises. We also provide an overview of the theoretical literature on the implications of different motives to remit for the cyclical behaviour of remittances.     

What is the Real Story for Interest Rate Volatility?

What is the source of interest rate volatility? Why do low interest rates precede business cycle booms? Most observers tend to assume that monetary policy is largely responsible for it. Indeed, a standard real business cycle model delivers rather small fluctuations in real interest rates. Here, however, we present two models of the real business cycle variety, in which the fluctuations of real rates are of similar magnitude as in the data, while simultaneously matching salient business cycle facts. The second model also replicates the cyclical behavior of real interest rates. The models build on recent work by Danthine and Donaldson, Jermann, and Boldrin, Christiano and Fisher. We assume that there are workers and capital owners. The first model posits habit formation and adjustment costs to the stock of capital. The second model assumes that it takes time to plan investment and time to build capital.     

Why have business cycle fluctuations become less volatile?

This paper shows that a standard Real Business Cycle model driven by productivity shocks can successfully account for the 50% decline in cyclical volatility of output, its components, and labor input that has occurred since 1983. The model is successful because the volatility of productivity shocks has also declined significantly over the same time period. We then investigate whether the decline in the volatility of the Solow Residual is due to changes in the volatility of some other shock operating through a channel that is absent in the standard model. We therefore develop a model with variable capacity and labor utilization. We investigate whether government spending shocks, shocks that affect the household’s first order condition for labor, and shocks that affect the household’s first order condition for saving can plausibly account for the change in TFP volatility and in the volatility of output, its components, and labor. We find that none of these shocks are able to do this. This suggests that successfully accounting for the post-1983 decline in business cycle volatility requires a change in the volatility of a productivity-like shock operating within a standard growth model. We thank Stephen Parente, Ed Prescott, John Taylor, and two anonymous referees for helpful comments and suggestions.     

Non-Walrasian Labor Markets and Real Business Cycles

The standard real business cycle literature mainly focuses on Walrasian models designed to fit the U.S. institutional framework. Differences between the United States and Europe, mostly evident in the labor market, suggest that a purely Walrasian model may be inappropriate for the study of European business cycles. I present a stochastic version of the dynamic general equilibrium model of Daveri and Maffezzoli (2000, “A Numerical Approach to Fiscal Policy, Unemployment and Growth in Europe,” Econometrics and Applied Economics Working Paper 2000-4, IEP, Università Bocconi), where unemployment is generated by monopolistic unions, and calibrate it to reproduce several long-run features of the Italian and U.S. economies. This framework is then compared with an indivisible labor model built on Hansen (1985, Journal of Monetary Economics16, 309–328) and Rogerson and Wright (1988, Journal of Monetary Economics22, 501–515). I focus on the impulse response functions, the standard business cycle statistics, and the ability to reproduce the cyclical components of the main macroeconomic variables. The main results are as follows: (i) the impulse response functions of the monopoly union (MU) model show a higher degree of overall persistence; (ii) the business cycle statistics are similar; (iii) the MU model enjoys a statistically significant advantage in reproducing the Italian business cycle, but not that of the United States. Journal of Economics Literature Classification Numbers: E32, E24, J23, J51.     

Employment, wages, and the economic cycle: Differences between immigrants and natives

In this paper, we analyse differences in the cyclical pattern of employment and wages of immigrants and natives for two large immigrant receiving countries, Germany and the UK. We show that, despite large differences in their immigrant populations, there are similar and significant differences in cyclical responses between immigrants and natives in both countries, even conditional on education, age, and location. We decompose changes in outcomes into a secular trend and a business cycle component. We find significantly larger unemployment responses to economic shocks for low-skilled workers relative to high-skilled workers and for immigrants relative to natives within the same skill group. There is little evidence for differential wage responses to economic shocks. We offer three explanations for these findings: an equilibrium search model, where immigrants experience higher job separation rates, a model of dual labour markets, and differences in the complementarity of immigrants and natives to capital.     

HOUSE PRICES,SALES, AND TIME ON THE MARKET: A SEARCH‐THEORETIC FRAMEWORK

We assess the ability of a standard search and matching framework to account for the cyclical properties of key macroeconomic time series of the housing market. We calibrate a model with aggregate demand and supply shocks to match selected business cycle properties of vacancies and sales in the United States. Our model reproduces the cyclical time series properties of house prices and the positive and negative comovement of prices with sales and time on the market, respectively. Search and matching frictions produce trading delays that augment the volatility of prices and propagate the effect of aggregate shocks to future periods.     

Long-run growth and volatility: which source really matters?

The aim of the article is to analyse the relationship between long-run growth and business cycle volatility. In particular, the main purpose of this article is to identify which source of volatility is most detrimental to growth. Using cross-country data from 1970 to 2000, and several indicators of volatility (such as inflation, exchange rate, government expenditure, output and investment volatility) this article shows that although, all these measures of volatility are remarkably harmful for growth, business cycle investment volatility is the main source that hampers long-run growth. This relation is robust to different measures of business cycle, and to different sub-samples of countries.     

On the measurement and analysis of aggregate economic activity for China: the coincident economic indicators approach

This paper reviews some of China's high-frequency economic indicators and our principal findings on their selection and use. Our aim is to develop a composite index of coincident economic indicators (coincident economic index, CEI) which can be used to obtain timely information on the present state of the China's economy and provide an appropriate measure to analyze China's short-term macroeconomic dynamics. Notably, combining industrial production, retail sales, manufacturing employment, income of financial institutions and passenger traffic volume, they work well as the method for dating business cycles for China. It shows that, over the past two decades, there was one marked recession which occurred in 1988:8 to 1989:12. In addition to this business cycle chronology we also develop a growth cycle chronology based on the deviations from trend of the CE which shows that there have been four cyclical slowdowns since 1986. Whereas GDP growth lacks cyclical movements and appears to be dominated by trend and irregular movements, in contrast to GDP, the CEI works well as a measure of cyclical dynamics and can contribute to the analysis of short-term fluctuations of Chinese economic activity relative to its long-term growth.     

中国旅游投资增长周期波动性及其溢出效应

采用1999—2016年中国旅游投资的年度数据,利用H-P、B-P滤波法等,分析了中国旅游投资增长周期波动性的特征以及它对旅游经济增长周期波动性的溢出效应。结果表明:中国旅游投资增长呈显著的周期性,且其周期多为古典型周期,平均持续时间为3~4年,周期长度不仅趋短且波动性趋稳;从行业层面看,星级酒店投资增长周期为增长型周期和古典型周期的混合类,周期短且波动幅度较为稳定,星级酒店投资增长有一定的反周期能力;景区投资增长周期多为古典型周期,周期的波动幅度较大;旅行社投资增长周期全是古典型周期,初期增长的周期波动性较大,而后期增长的周期波动性则较平缓,逆周期能力有所增强;旅游投资增长对旅游经济增长周期波动性具有显著的稳定性效应,而旅游投资增长周期波动性则对之无显著的溢出效应;三大行业的投资增长周期波动性既对旅游经济增长无稳定效应,也对旅游经济增长周期波动性不具有显著的稳定效应;旅游投资增长风险与旅游经济增长风险之间存在一定的分离性。     

Fiscal Convergence, Business Cycle Volatility, and Growth

This paper analyzes the effects of fiscal convergence on business cycle volatility and growth. Using a panel of 11 EMU and 21 OECD countries and 40 years of data, we find that countries with similar government budget positions tend to have smoother business cycles. That is, fiscal convergence (in the form of persistently similar ratios of government surplus/deficit to GDP) is systematically associated with smoother business cycles. We also find evidence that reduced business cycle volatility through higher fiscal convergence stimulates growth. Our empirical results are economically and statistically significant, and robust.     

Small noise asymptotics for a stochastic growth model

We develop analytic asymptotic methods to characterize time-series properties of nonlinear dynamic stochastic models. We focus on a stochastic growth model which is representative of the models underlying much of modern macroeconomics. Taking limits as the stochastic shocks become small, we derive a functional central limit theorem, a large deviation principle, and a moderate deviation principle. These allow us to calculate analytically the asymptotic distribution of the capital stock, and to obtain bounds on the probability that the log of the capital stock will differ from its deterministic steady-state level by a given amount. This latter result can be applied to characterize the probability and frequency of large business cycles. We then illustrate our theoretical results through some simulations. We find that our results do a good job of characterizing the model economy, both in terms of its average behavior and its occasional large cyclical fluctuations.