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This survey focuses on two families of nonlinear vector time series models, the family of vector threshold regression (VTR) models and that of vector smooth transition regression (VSTR) models. These two model classes contain incomplete models in the sense that strongly exogeneous variables are allowed in the equations. The emphasis is on stationary models, but the considerations also include nonstationary VTR and VSTR models with cointegrated variables. Model specification, estimation and evaluation is considered, and the use of the models illustrated by macroeconomic examples from the literature.

The purpose of this study is to investigate nonlinearities in the behavior of investment expenditure. Conventional wisdom suggests that Tobin’s Q criterion is an important explanation of investment behaviour that bridges the financial and real sides of the economy. However, the empirical evidence in support of Q as a means of explaining aggregate business investment is rather weak. We answer a number of questions about the relationship between investment expenditure and Q. In particular, is the relationship governed by non-linearities? If so, what is the nature of the non-linearities present?

The rationale for paying closer attention to non-linearities is based on the presence of information asymmetries and possible dependence of adjustments on non-linearities with respect to factors such as fixed costs, threshold effects and irreversibility, which are entertained in the investment literature. Using the non-linear vector error-correction model procedure advocated by Hansen and Seo, we show that in the context of the US economy, investment has a long-run relationship with Q that is based on threshold error correction.

There are asymmetries present with respect to error correction or the speed of adjustment towards long-run equilibrium. We find that investment expenditure only responds significantly to long-run disequilibrium from Q during a particular regime. Such a regime is characterised by long-run disequilibrium based on high or rising investment expenditure compared with a relatively weak stock market.

The authors provide new insights into the relationship between Tobin’s Q and real investment. In contrast to previous work, they find that error correction based on the adjustment of real investment is regime-specific and function of the size of departures from long-run equilibrium. The tests also allow for the identification of periods when error correction has occurred. Not only are these insights significant for future research on financial crises, market volatility and the impact of debt, but for policymaking purposes as well.

This paper explores the evidence of a long-run co-movement between aggregate unemployment insurance spending and the labor force participation rate in the USA. The unemployment insurance (UI) program tends to expand during an economic downturn and contract during an expansion. UI may incentivize unemployment and may also facilitate better matching in the labor market. Statistical evidence of the presence of a co-movement will thus shed new light on their dynamics.

This research applies time-series econometric approach using monthly data from 1959:1 to 2020:3 to test threshold cointegration and estimate a threshold vector error-correction (TVEC) model. The estimates from the TVEC model investigating the nature of short-run dynamics.

The Enders and Siklos (2001) test find evidence of threshold cointegration between the two indicating the presence of long-run co-movement. The estimates from the TVEC model investigating the nature of short-run dynamics find evidence that the growth in aggregate UI spending and the growth in labor force participation rate adjust simultaneously to maintain the long-run co-movement above the threshold in the short run. The author also observes the same short-run dynamics for the growth in aggregate UI spending and the growth in the labor force participation rate for females.

This model is bi-variate by construction and does not address causality.

The author argues that the UI program positively impacts the female labor market outcomes, for example, better matching. This finding may explain the upward trend in the labor force participation rate for females in the USA.

The research findings may justify the transfer programs for minority and immigrants.

This is first research that analyzes the UI programs impact on the labor force participation using a macroeconometric approach. To the best of the author's knowledge, this is the first study in this genre.

The purpose of this paper is to investigate the long‐term and short‐term asymmetric effects of the price transmission relationships between agricultural futures and the agriculture index in China.

The paper adopts a threshold autoregressive (TAR) model and momentum‐TAR (M‐TAR) model that test the prices of futures and spots in the special trading system.

The paper indicates that during different stages of the economic cycle, agricultural futures and the agriculture index exhibit different correlations. During the initial stages of economic upturns and downturns, the addition of futures of agricultural products helps to diversify risk. In contrast, during the late stages of economic upturns and downturns, such additions do not really help to diversify risk. Soybean meal futures and the agriculture index are more strongly correlated with each other. If investors use soybean meal futures to predict the trends in the agriculture index, they will obtain more accurate conclusions.

The soybean futures have leading effects in a single range and a lower correlation with the agriculture index. This paper provides a point of reference for investors devising investment strategies and for the Chinese Government in its execution of macro‐control policies. It provides a clear review about the estimation methods. It also provides information about China's soybean, soy meal industry.

The paper contains updated information about China's soybean and soybean meal trading. It uses new estimation methods (TAR, M‐TAR) to examine the co‐integration between soybean, soybean meal and the agricultural index.

This study aims to examine whether global gold futures returns volatilities and trading activities are threshold cointegrated.

This study considers 11 gold futures markets, including 3 developed futures markets and 8 developing futures markets. This study also analyzes futures trading activities for speculators and hedgers. This study uses a nonlinear threshold vector error correction model (TVECM) and a threshold Lagrange multiplier (LM) test proposed by Hansen and Seo (2002).

The findings show that global gold futures return volatilities (FRV) and trading activities are not always threshold cointegrated. Most developed futures markets exhibit threshold cointegrated of gold FRV and trading activities for speculators and hedgers, whereas some developing futures markets exhibit threshold cointegrated. It suggests that speculators and hedgers trading activity conveys valuable information about changes in market volatility dynamics. On the other hand, responses to error-correction effect among gold FRV and trading activities for speculators and hedgers are dramatically different for developed and developing gold futures markets, respectively, particular in the unusual regime.

Research results show that threshold cointegration between global gold FRV and trading activities matters but not always. Thus, threshold relations have improved the authors’ understanding of global gold futures price discovery process with a threshold. For research limitations, this study uses only near month futures contracts, as it contains more information but not using far month contracts.

The findings may have important trading implications with additional insights in a(n) (un)usual regime further regulation may be detrimental to the price responsiveness in futures markets if increased price volatility and trading volume are attributed to liquid and efficient markets.

The findings may have important policy implications with additional insights. For example, in a(n) (un)usual regime greater regulatory restrictions may be warranted to decrease market inefficiencies if increased price fluctuations are caused by increased trading volume. Policymakers could enhance futures trading liquidity or restrict speculating positions.

This study examines whether global gold futures returns volatilities and trading activities are threshold cointegrated by using a nonlinear TVECM. The authors detect that some global gold futures returns volatilities and trading activities are threshold cointegrated but some are not. Hence, the findings determine whether the volatility–volume threshold relation holds across countries and investigate the determinants of cross-country differences in different traders.

The purpose of this paper is to investigate asymmetric cointegration and causality effects between financial development and economic growth for South African data spanning over the period of 1992-2013.

This study makes the use of the momentum threshold autoregressive (M-TAR) approach which allows for threshold error-correction (TEC) modeling and Granger causality analysis between the variables. In carrying out an empirical analysis, the author uses six measures of the financial development variables against gross domestic per capita, that is, three measures which proxy banking activity and another three proxies for stock market development.

The empirical results generally indicate an abrupt asymmetric cointegration relationship between banking activity and economic growth, on the one hand, and a smooth cointegration relationship between stock market activity and economic growth, on the other hand. Moreover, causality analysis generally reveals that while banking activity tends to Granger cause economic growth, stock market activity is, however, caused by economic growth increase.

This study contributes to the literature by examining asymmetries in the cointegration and causality relations by using both banking and stock market proxies against economic growth for the South African economy.

The purpose of this paper is to examine asymmetric co-integration effects between nutrition and economic growth for annual South African data from the period 1961-2013.

The authors deviate from the conventional assumption of linear co-integration and pragmatically incorporate asymmetric effects in the framework through a fusion of the momentum threshold autoregressive and threshold error correction (MTAR-TEC) model approaches, which essentially combines the adjustment asymmetry model of Enders and Silkos (2001); with causality analysis as introduced by Granger (1969); all encompassed by/within the threshold autoregressive (TAR) framework, a la Hansen (2000).

The findings obtained from the study uncover a number of interesting phenomena for the South Africa economy. First, in coherence with previous studies conducted for developing economies, the authors establish a positive relationship between nutrition and economic growth with an estimated income elasticity of nutritional intake of 0.15. Second, the authors find bi-direction causality between nutrition and economic growth with a stronger causal effect running from nutrition to economic growth. Lastly, the authors find that in the face of equilibrium shocks to the variables, policymakers are slow to responding to deviations of the variables from their co-integrated long run steady state equilibrium.

In the study, the authors make a novel contribution to the literature by exploring asymmetric modelling in the correlation between nutrition intake and economic growth for the exclusive case of South Africa.

Wheat, which is one of the major staple food grain crops in India, continues to depict occasional fluctuation in the prices though Union government has adopted administered price policy for wheat by intervening in its procurement at assured prices and distribution. Such fluctuations in prices are usually attributed to inefficient functioning of the agricultural markets. Since spatially separated markets also play an important role to determine efficiency of the agricultural markets, the study has used market integration as one of the tools to analyze the price transmission across the spatially separated markets to identify causes of price fluctuations and suggest ways to stabilize wheat prices.

The study utilizes monthly wholesale prices for January, 2006 to May, 2016 for dara wheat. First, the study employs augmented Dickey and Fuller (ADF), Phillips and Perron (PP) and Kwiatkowski, Phillips, Schmidt and Shin (KPSS) tests to check stationarity in wheat prices. Second, Johansen's cointegration test is applied to assess the integration of wholesale prices between selected pairs of wheat markets to determine long-run relationship among them. Third, Granger casualty test is used to find the direction of causality between the wheat market pairs. Finally, threshold vector error correction model (TVECM) and likelihood ratio (LR) tests are employed to examine long-run adjustment of prices towards the equilibrium in selected wheat markets.

Since wheat wholesale prices for the selected markets are found to be integrated of the order one, that is [I(1)], Johansen's test of cointegration is employed and its findings reveal that the selected wheat market pairs exhibit cointegration and show a long-run price association among themselves. There exists a bi-directional causality among the wheat market pairs. Since LR test is in favor of threshold model (except for Etawah–Delhi pair), one and two threshold models were also performed accordingly. Findings show that wholesale prices of wheat in Delhi markets remain higher than the prices of all other regional markets as regional markets are found to adjust their prices towards Delhi market. Distance of the wheat markets from each other is directly associated with threshold parameters, which are analogous to the transaction costs. Geographically dispersed wheat markets incorporate high transaction and vice versa.

The study argues that there is need to improve rural infrastructure and connectivity of the agricultural markets and remove market asymmetries through unified market regulating mechanisms across the states. This will enable price adjustment process from primary wholesale markets (in production regions) to the secondary wholesale markets (in scarcity regions) quickly.

The contribution of the study in the existing literature lies in the fact that there are no empirical evidences in the context of India that use price transmission as a tool of market integration among spatially separated wheat markets using TVCEM as this model examines role of transaction costs in efficient functioning of the agricultural markets.

In Indonesia, rubber is the most valuable export crop produced by small scale agriculture and plays a key role for inclusive economic development. This potential is likely to be not fully exploited. The observed concentration in the crumb rubber processing industry raises concerns about the distribution of export earnings along the value chain. Asymmetric price transmission (APT) is observed. The paper aims to discuss these issues.

This study investigates the price transmission between international prices and the factories’ purchasing prices on a daily basis. An auto-regressive asymmetric error correction model is estimated to find evidence for APT. In a subsequent step the rents that are redistributed from factories to farmers are calculated. The study then provides estimations of the size of this redistribution under different scenarios.

The results suggest that factories do indeed transmit prices asymmetrically, which has substantial welfare implications: around USD3 million are annually redistributed from farmers to factories. If the price transmission was only half as asymmetric as it is observed, the majority of this redistribution was re-diverted.

This study combines the approaches of non-parametric and parametric estimation techniques of estimating APT processes with a welfare perspective to quantify the distributional consequences of this intertemporal marketing margin manipulation. Especially the calculation of different scenarios of alternative price transmissions is a novelty. The data set of prices on such a disaggregated level and high frequency as required by this approach is also unique.

The purpose of this study is to develop, test and examine econometric methodology for Sharīʿah-compliant duration models of Islamic banks.

The research evaluates all existing duration models from Sharīʿah’s perspective and develops a four-stage framework for testing Sharīʿah-compliant duration models. The econometric methodology consists of multiple regression, Johansen co-integration, error correction model, vector error correction model (VECM) and threshold vector error models (TVECM).

Regressions analysis suggests that returns on earning assets and interbank offered rates are significant factors for calculating the duration of earning assets, whereas returns paid on return bearing liabilities and average interbank rates of deposits are significant factors for duration of return bearing liabilities. VECM suggests that short run duration converges into long run duration and TVECM suggests that management of assets and liabilities also plays a significant role that can bring about a change of about 15% in respective durations.

Sharīʿah-compliant duration models will improve risk and Sharīʿah efficiency, which will ultimately improve market capitalization and returns stability of Islamic banks in the long run.

Sharīʿah-compliant duration models testing provides insight into how various factors, namely, rates of return, benchmark rates and managerial skills of Islamic bank risk managers impact durations of assets and liabilities. It also explains the future course of action for Sharīʿah-compliant duration model testing.