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Cointegration Analysis of Regional House Prices in U.S.

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Abstract
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Using quarterly U.S. census division data for time period 1975-2006, this paper investigates the dynamic relationships among the house prices of nine divisions (regions): Pacific, Mountain, South Atlantic, Middle Atlantic, New England, East South Central, West South Central, West North Central, and East North Central. Johansen’s ML procedure is applied to shed light on the short-run and long-run components on the error correction model. Furthermore, a symmetric error-correction model is estimated followed by the contemporaneous causality structure that is provided by the directed acyclic graphs. The latter is used as an “input” for estimating the impulse response functions along with the forecast error variance decompositions. The results provide evidence of the presence of large number of cointegration relations between the regional house prices in the US. Moreover, in most cases, West North Central and New England appear to strongly and positively lead the house price changes in most other regions. The statement holds for Middle Atlantic which actually generates negative responses. On the other hand, house prices in East North Central and Mountain are highly influenced by changes in house prices of other regions. These results mostly hold for the dynamic period or from time horizon 0 (contemporaneous) to 35 (8.5 years). Furthermore, the real estate market in the US appears to be mainly led by regions that are influential in many other ways, such as financial, economic, etc.

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Introduction
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  • Yunlong Gong

China has been undergoing significant social and economic structural changes since launching its policy of economic reform and opening up in 1978. This has involved a transformation from a centrally planned economy, where there is no role for the market, to a market-oriented economy in which market principles play a major role. During the last four decades, great achievements have been made in terms of economic growth and social well-being. To name a few indicators: the Gross Domestic Product (GDP) of the country increased from USD 189.65 billion in 1980 to USD 10.866 trillion in 2015, positioning China as the second largest economy in the world, with an average annual growth rate over 10%. Meanwhile, poverty levels have greatly improved. The poverty headcount ratio at USD 1.90 a day (2011 PPP) has decreased dramatically, from 42.15% in 1981 to 10.68% in 2013. The rapid economic growth, combined with the reform of the Hukou registration system, has also accelerated the migration flow from rural areas to urban areas. The population living in urban China in 2015 reached 763 million, making the urbanisation level of 55.61%, almost three times that in 1980. With the rapid growth of the urban population, the welfare-based public housing provision system founded in the central planning era could no longer meet the increasing housing demand of urban residents. Thus, in 1994, comprehensive housing reforms were implemented, aiming to privatize the public housing sector and promote a housing allocation system based on market principles. The milestone of housing reform occurred in 1998, when the government completely suspended the traditional housing allocation system, making the housing market the only way to access housing services (Wang et al. 2012). The emergence of the private urban housing market spurred both housing transactions and prices. In 1998, the housing area traded on the market was approximately 108 million square metres on an average transaction price of 1854 yuan/m2. These two figures were nearly ten and three times higher in 2014, soaring to 1.05 billion square metres and 5933 yuan/m2, respectively. At the regional level, rapid economic development has been accompanied by increasing inequality. Soon after the launch of the economic reforms, some coastal regions, Guangdong and Zhejiang in Eastern China, for example, grew quickly, due to the influx of foreign direct investment (FDI), advanced technologies and equipment, and favourable policies of the central government. The ‘core’ position of these regions in the national economy was further enhanced through a self-reinforcing process (Anderson 2012, p.127), shaping a core-periphery economic structure in China. In 1980, the regional gross product of Eastern China accounted for 43.69% of total GDP in China, while in 2014 this ratio increased to 51.16%, reflecting the polarization of economic activities. Reflecting the distribution of economic activities, the inequality in the cost of housing between regions is also striking. In 2014, the average sale price in 35 main cities in mainland China was approximately 8599 yuan/m2, with the standard error also high, at 4651 yuan/m2, making the coefficient of variance 0.54, thus indicating a high degree of heterogeneity across this city-level housing market. The left panel of Figure 1.1 shows the spatial distribution of average house prices. It is apparent that the prices in the coastal cities of Eastern China are generally greater than the prices of inland cities. However, the picture of house price dynamics is a little different. From 2002 to 2014, the rapid growth in house prices, on average 11.38% per year, seems to be anational phenomenon and there is very little variance between the annual growth rates in different cities; the coefficient of variance is only 0.18, much lower than that of the house price level. Perhaps the most prominent spatial pattern of house price growth rate is that the northeastern cities experienced the lowest price appreciation during the period 2002-2014. This dissertation is fundamentally concerned with the spatial patterns of house prices and their dynamics across cities in China. Although literature on the Chinese housing market has been emerging in recent years, little is known about the spatial interaction of regional housing markets. The following four chapters will be dedicated to responding to questions concerning the emerging market: Why is there a core-periphery structure in the distribution of interurban house prices? To what extent are the house price developments across cities similar? How do house price dynamics in one city affect the house price changes in other cities? The investigation of the spatial dimension of the Chinese housing market has been always hampered by the quality of the data, especially when analysing house price dynamics. This situation has inspired the pursuit of research to construct house price indexes that reflect the house price changes as accurately as possible. In line with a key theme of this study, particular a

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Does consumer debt cause economic recession? Evidence using directed acyclic graphs
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This study investigates the relationship between consumer debt and aggregate economic activity based on time series methods and directed acyclic graphs (DAG). Quarterly US data, measured over the period 1980 to 2003, on consumer debt, gross domestic product (GDP), interest rates, housing starts, and domestic auto sales, are analysed in an Error Correction Model (ECM). Contemporaneous innovations from this ECM are given a structural representation, using recent developments in DAG modelling. The ECM and DAG components are summarized using innovation accounting techniques (impulse response functions and forecast error variance decomposition). The DAG causal pattern reveals a causal flow from GDP to consumer debt; the subsequent innovation accounting results also show that consumer debt is not exogenous in contrast to GDP and other indicators. This result concurs with a previous study based on Granger causality, but contradicts other works that claim consumer debt is a root cause of aggregate economic performance.

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