Residual-based test for Nonlinear Cointegration with application in PPPs

Nested by linear cointegration first provided in Granger (1981), the definition of nonlinear cointegration is presented in this paper. Sequentially, a nonlinear cointegrated economic system is introduced. What we mainly study is testing no nonlinear cointegration against nonlinear cointegration by residual-based test, which is ready for detecting stochastic trend in nonlinear autoregression models. We construct cointegrating regression along with smooth transition components from smooth transition autoregression model. Some properties are analyzed and discussed during the estimation procedure for cointegrating regression, including description of transition variable. Autoregression of order one is considered as the model of estimated residuals for residual-based test, from which the teststatistic is obtained. Critical values and asymptotic distribution of the test statistic that we request for different cointegrating regressions with different sample sizes are derived based on Monte Carlo simulation. The proposed theoretical methods and models are illustrated by an empirical example, comparing the results with linear cointegration application in Hamilton (1994). It is concluded that there exists nonlinear cointegration in our system in the final results.

Borlänge, Dalarnas köpstad no 1 : Hur centrum, Kupolen och Norra Backa kan bindas samman för att tillsammans vinna köpkraften

Thesis:The aim of our study is to identify how IKEA's externalestablishment at Norra Backa can affect Kupolen and the centre. This in order to provide suggestions on how these trade areas can be connected and create a whole to thereby gain the purchasing power.Method:In our study we used triangulation. That means we have used both a quantitative and a qualitative approach. The quantitative method based on a survey with 100 respondents. The qualitative method is based on interviews with the centre conductors of Borlänge, Laila G Prosén and Anna Timander.Theory:The theories we have used is STP, substitution effects and effects of overspill, important factors for an attractive market town, Town Centre Management, Urban Retail Product.Conclusion: We found how IKEA's establishment at Norra Backa may affect Kupolen and the center of Borlänge then we gave suggestions on how these trade areas can be connected.

Testing linear cointegration against smooth-transition cointegration

This paper studies a smooth-transition (ST) type cointegration. The proposed ST cointegration allows for regime switching structure in a cointegrated system. It nests the linear cointegration developed by Engle and Granger (1987) and the threshold cointegration studied by Balke and Fomby (1997). We develop F-type tests to examine linear cointegration against ST cointegration in ST-type cointegrating regression models with or without time trends. The null asymptotic distributions of the tests are derived with stationary transition variables in ST cointegrating regression models. And it is shown that our tests have nonstandard limiting distributions expressed in terms of standard Brownian motion when regressors are pure random walks, while have standard asymptotic distributions when regressors contain random walks with nonzero drift. Finite-sample distributions of those tests are studied by Monto Carlo simulations. The small-sample performance of the tests states that our F-type tests have a better power when the system contains ST cointegration than when the system is linearly cointegrated. An empirical example for the purchasing power parity (PPP) data (monthly US dollar, Italy lira and dollar-lira exchange rate from 1973:01 to 1989:10) is illustrated by applying the testing procedures in this paper. It is found that there is no linear cointegration in the system, but there exits the ST-type cointegration in the PPP data.

What Happens When IKEA Comes to Town?

Using data from 2000-2011, the effects of a new IKEA store on retail revenues, employment, and inflow of purchasing power in the entry municipalities, as well as in neighboring municipalities were investigated. A propensity score matching method was used to find non IKEA entry municipalities that were as similar as possible to the entry municipalities based on the situation before entry. Our results indicate that IKEA-entry increased entry-municipality durable-goods revenues by about 20% and employment by about 17%. Only small and, in most cases, statistically insignificant effects were found in neighboring municipalities.