scholarly journals A Simple Integration Order Test: An Alternative to Unit Root Testing

2021 ◽  
Vol 2 (3) ◽  
pp. 77-85
Author(s):  
C. G. Amaefula
Keyword(s):  
Unit Root ◽  
Time Series Data ◽  
Test Procedure ◽  
Unit Root Test ◽  
Unit Root Tests ◽  
Stationary Time Series ◽  
Series Data ◽  
Unit Root Testing ◽  
Integration Test ◽  
Integration Order

The paper introduces order of integration test (OIT) which serves as a simple alternative to unit root test built generally using auxiliary autoregressive AAR(3) model. The parametric boundary conditions necessary and sufficient for testing the null hypothesis that the non-stationary variable under test is integrated order zero I(0) were estimated via generalized least squares (GLS). The decision on the hypothesis is evaluated using t-statistic. The test procedure was applied to a simulated non-stationary series (y1) of sample size n = 2000 and a known non-stationary time series data (y2) with two unit roots. The results showed that y1 is integrated order one (I(1)) and y2 is I(2). These results were confirmed by Augmented Dickey Fuller (ADF); Phillips-Perron (PP); Kwiatkowski, Phillips, Schmidt, and Shin (KPSS); Elliot, Rothenberg, and Stock Point Optimal (ERS) and Ng and Perron (NP) unit root tests. For logarithm transformed variable, the divergent opinions of other unit root tests in clear-cut solution of the integrated order of such variable makes the new test procedure a better alternative. Nevertheless, the simplicity and aptness of the integration order test give it leverage over conventional methods of unit root test.

UNIT ROOT TESTS IN THE PRESENCE OF MULTIPLE BREAKS IN VARIANCE

2017 ◽  
Vol 62 (02) ◽  
pp. 345-361
Author(s):  
SOO-BIN JEONG ◽  
BONG-HWAN KIM ◽  
TAE-HWAN KIM ◽  
HYUNG-HO MOON
Keyword(s):  
Time Series ◽  
Unit Root ◽  
Time Series Data ◽  
Unit Root Test ◽  
Unit Root Tests ◽  
Series Data ◽  
Simulation Experiments ◽  
Innovation Variance ◽  
Multiple Breaks

Spurious rejections of the standard Dickey–Fuller (DF) test caused by a single variance break have been reported and some solutions to correct the problem have been proposed in the literature. Kim et al. (2002) put forward a correctly-sized unit root test robust to a single variance break, called the KLN test. However, there can be more than one break in variance in time series data as documented in Zhou and Perron (2008), so allowing only one break can be too restrictive. In this paper, we show that multiple breaks in variance can generate spurious rejections not only by the standard DF test but also by the KLN test. We then propose a bootstrap-based unit root test that is correctly-sized in the presence of multiple breaks in variance. Simulation experiments demonstrate that the proposed test performs well regardless of the number of breaks and the location of the breaks in innovation variance.

scholarly journals COINTEGRATING RELATION BETWEEN EXCHANGE RATE AND GOLD PRICE

2017 ◽  
Vol 5 (10) ◽  
pp. 263-269
Author(s):  
Ranjusha ◽  
Devasia ◽  
Nandakumar
Keyword(s):  
Exchange Rate ◽  
Time Series Data ◽  
Unit Root Test ◽  
Gold Price ◽  
Series Data ◽  
Annual Data ◽  
Causality Test ◽  
Long Run ◽  
Integration Test ◽  
The Relationship

The very purpose of this paper is to analyse the relationship between gold price and Rupee – Dollar exchange rate in India. The study utilises the annual data of exchange Rate (ER) and Gold Price (GP) from 1970 to 2015 to determine the relationship. Different econometric tools like Unit root test, Johansen co integration test, Vector error correction model, Granger causality test are used for detecting the long run relation, if any between the mentioned variables. The result shows that there exists a long run cointegrating relation between the variables. That is we can stabilise the Gold Price movement by controlling the exchange rate fluctuations. Likewise it also shows that Exchange rate doesn’t Granger cause to Gold price and vice versa. It means that the time series data of one vasriable cannot be used to predict another.

scholarly journals Influence of Bank Credits on the Nigerian Economy

2019 ◽  
Vol 5 (1) ◽  
pp. 1-9
Author(s):  
Idachaba Odekina Innocent ◽  
Olukotun G. Ademola ◽  
Elam Wunako Glory
Keyword(s):  
Public Sector ◽  
Private Sector ◽  
Banking Sector ◽  
Time Series Data ◽  
Unit Root Test ◽  
Series Data ◽  
Long Run ◽  
Integration Test ◽  
Lending Rate ◽  
Negative Effect

The aim of this study is to examine the influence of bank credits on the Nigerian economy using time series data covering the period from 1980 to 2017.Gross domestic product was used as proxy for the economy while credits to the private sector, public sector and prime lending rate were used as proxies of Banks credits. Unit root test was used to test stationary which reveals that all the variables were stationary at first difference. The regression analysis result shows that credit to the private sector have positive effect on Nigerian economy while credit to public sector and prime lending rate have negative effect on the Nigerian economy. The result of co-integration test presented reveals that there exist among the variables co-integration which means long-run analysis. It is recommended that, policy makers should focus attention on long-run policies to promote economic growth such as development of modern banking sector, efficient financial market, infrastructures.

scholarly journals HINTERLAND MEDAN CITY BETWEEN BINJAI CITY: A GRAVITATION APPROACH

2019 ◽  
Vol 17 (1) ◽  
pp. 94
Author(s):  
Muhammad Nasir
Keyword(s):  
Confidence Level ◽  
Time Series Data ◽  
Impulse Response Function ◽  
Unit Root Test ◽  
Gravity Models ◽  
Series Data ◽  
Causality Test ◽  
Integration Test ◽  
Relationship Of ◽  
The City

Regional economy explains that there is an urban hierarchical relationship, cities that have higher hierarchy will serve cities that are below it as well as cities that are in hierarchy under supplying cities that are in the hierarchy above them, so there is a gravitational relationship between the two. This study aims to determine the gravitational relationship of Medan city to the hinterland of the city of Binjai. Furthermore, this study also wants to explain its influence on economic growth in both cities. This study uses time series data from 1990-2016, taken from North Sumatera BPS test equipment and analysis tools used are descriptive statistics, gravity models, unit root test, co-integration test, optimal lag, VECM, granger causality test, impulse response function and variance decomposition. The results showed that the city of Medan has a gravity style greater than the gravitational style of the city of Binjai. This is because the city of Medan has a larger area, population, income per capita compared to the city of Binjai. The VECM estimation results show that the gravitational variable in the city of Binjai in lag -1 and lag-2 has a positive and significant effect on the economy of Medan city with a confidence level of 95%. Then the economic variable of the city of Binjai itself in lag-1, the population of the city of Medan in lag-2 and the gravity of the city of Medan in lag-2 had a positive and significant effect on the economy of Binjai city with a confidence level of 95%. While the variable population of Binjai city in lag -1 and residents of the city of Medan in lag -1 negatively affected the economy of Binjai city with a confidence level of 95%.

scholarly journals Dynamic Relationships among Crude oil price, exchange rate and BSE Sensex

2018 ◽  
Vol 13 (02) ◽  
Author(s):  
Roshan Kumar ◽  
Manisha Gupta
Keyword(s):  
Crude Oil ◽  
Stock Prices ◽  
Time Series Data ◽  
Research Work ◽  
Unit Root Test ◽  
Series Data ◽  
Causality Test ◽  
Dynamic Relationship ◽  
Crude Oil Prices ◽  
Integration Test

The study examined Dynamic relationship among crude oil prices, exchange rates and stock prices in India for the duration January 2006 to December 2016 using daily data. The research work include the testing for a unit root test in time series data, then it testing the number of co-integrating vectors in the system. In the next step we use the johansen co integration test to examine the relationship among variables. At the last Granger causality test is used to estimating the direction of causality among the variables

scholarly journals Economic Transformation in Bangladesh and the Income Velocity of Broad Money: An Econometric Analysis

2019 ◽  
pp. 408-417
Author(s):  
Ms. Sharmina Khanom
Keyword(s):  
Unit Root ◽  
Positive Relationship ◽  
Time Series Data ◽  
Negative Relationship ◽  
Unit Root Test ◽  
Economic Transformation ◽  
Econometric Analysis ◽  
Series Data ◽  
Gdp Growth ◽  
Velocity Of Money

This study has undertaken an econometric analysis of economic transformation and income velocity of broad money. To find out the relevant determinants of income velocity of money this paper used time series data on year basis. This paper focus to discover the key determinants of the velocity of money in Bangladesh using the Augmented Dicky Fuller (ADF) unit root test to inspect the stationary, Engle-Granger residual-based cointegration approach to demonstrate the co-integrating association among variables. The main conclusions of this paper are: (i) relationship exists between the velocity of money and financial development. Other important variables that determine GDP growth show a negative relationship with the velocity of money but maintain a positive relationship with the deposit interest rate. Finally, this study concludes by giving some policy recommends for Bangladesh with respect to the velocity of broad money and the monetary policy.

scholarly journals A Different Look at Cointegration Relationship between Quarterly Inflation Rates and Growth via Seasonal Integration Tests

2019 ◽  
Author(s):  
Sera Şanlı ◽  
Mehmet Özmen
Keyword(s):  
Economic Growth ◽  
Unit Root ◽  
Unit Root Test ◽  
Unit Root Tests ◽  
Maximum Order ◽  
Unit Root Testing ◽  
Testing Sequence ◽  
Inflation Rates ◽  
Cointegration Relationship ◽  
Integration Analysis

Detecting the direction of inflation-growth relationship has been a controversial issue in terms of the theoretical framework, notedly since the rise of Mundell-Tobin effect which is based upon the assumption of substitutability between money and capital. In this study, it has been aimed to investigate the cointegrating relationship and its direction between inflation and economic growth covering the period 1998Q1:2014Q4 for Turkey as grounded on the testing sequence that is illustrated by Ilmakunnas (1990) in order to handle unit root testing in a seasonal context by testing the appropriate order of differencing and concerns with the case where SI(2,1) (seasonally integrated of order (2,1)) is the maximum order of seasonal integration. It has been also utilized from ADF unit root test and DHF, HEGY & OCSB seasonal unit root tests in seasonal integration analysis. In the study, five cointegration regressions have been considered in the level, seasonally averaged, quarterly differenced, first differenced and twice differenced forms and two series have been found to have the same degree of seasonal integration as SI(1,1). Applying various residual tests have revealed the presence of a cointegrating relationship between two variables. In addition, the inflation-growth relationship in Turkey has been concluded to perform in an opposite direction.

scholarly journals External Sector Aggregates and Economic Growth in Nigeria

2018 ◽  
pp. 33-42
Author(s):  
Akidi, Victor ◽  
Tubotamuno, Boma ◽  
Obayori, Joseph Bidemi
Keyword(s):  
Economic Growth ◽  
Foreign Direct Investment ◽  
Exchange Rate ◽  
Direct Investment ◽  
Time Series Data ◽  
Unit Root Test ◽  
Series Data ◽  
Correction Technique ◽  
Integration Test ◽  
External Sector

This paper empirically examined the effects of selected external sector aggregates on economic growth in Nigeria from 1981 to 2016. Time series data on Real Gross Domestic Product as proxy for economic growth, and on Imports, Exports, Exchange Rate and Foreign Direct Investment were collected from secondary sources. The data sets were analyzed using descriptive statistics, unit root test, co-integration test and error correction technique of model estimation. The result of the analysis revealed that Imports, Exchange Rate and Foreign Direct Investment negatively related with economic growth while Exports positively related with economic growth in Nigeria within the reviewed period. Also, except Exchange Rate all the other explanatory variables – Imports, Exports and Foreign Direct Investment did not impact significantly on economic growth in Nigeria within the period of study. Based on these findings, the study recommends that government should encourage export diversification, especially the non-oil sector exports. This can be achieved through value addition in both the agriculture and manufacturing sub-sectors output.

scholarly journals Economic Growth, Inflation and Monetary Policy in Pakistan: Preliminary Empirical Estimates

2021 ◽  
Vol 4 (2) ◽  
pp. 321-333
Author(s):  
Hina Ali ◽  
Malka Liaquat ◽  
Noreen Safdar ◽  
Saeed ur Rahman
Keyword(s):  
Time Series ◽  
Monetary Policy ◽  
Unit Root ◽  
Time Series Data ◽  
Unit Root Test ◽  
Series Data ◽  
Economic Activities ◽  
Data Set ◽  
Explanatory Variables ◽  
Empirical Estimates

In economic policy, construction Inflation is a core variable to be considered that determines the economic activity. To make a suitable monetary policy, it is very essential to check the price level and later on, many other variables are considered to achieve the goal. This study aims to reveal the affiliation of inflation on the growth of economic activities in Pakistan. Time series data set for the period 1989-2020 was used to have the empirical estimates.  Augmented Dickey Fuller Unit Root Test is employed to check the unit root of the time series and Auto Regressive Distributive Lag techniques are used for empirical estimates. The present research uses Inflation as a dependent variable and Gross Domestic Product, Interest Rate, Money Supply, and Exchange Rate as the explanatory variables of the study. The findings of this analysis reveal that there's an antagonistic relation between Inflation and GDP.

scholarly journals E-Fraud and Bank Performance: Empirical Evidence from Nigeria

2021 ◽  
Vol 06 (02) ◽  
Author(s):  
TYONA Timothy ◽  
Keyword(s):  
Empirical Evidence ◽  
Internal Control ◽  
Unit Root ◽  
Time Series Data ◽  
Unit Root Test ◽  
Series Data ◽  
Bank Performance ◽  
Least Squares Regression ◽  
Online Fraud ◽  
Adf Test

This study examines e-fraud and bank performance: empirical evidence from Nigeria. Expo facto research design was used while time series data for the period of ten (10) years sourced from Central Bank of Nigeria (CBN) statistical Bulletin. Unit root test and correlation matrix was used as a diagnostic tests. The Augmented Dickey Fuller (ADF) test is used to test for stationarity. The results of the stationarity or unit root test show that all the variables, return on equity (ROE), Automated Teller Machine Fraud (ATF) and Online Fraud (OLF) have unit roots and are only stationary at first difference and integrated of order one I (1). The fully modified least squares regression (FMOLS) is used for the analysis. The result of the study indicates that both variables, online fraud, (OLF) and ATM fraud (ATF) show negative effect on bank performance proxied in Nigeria in line with a priori expectation. In order words, fraud and fraudulent activities impede on the profitability of the banks. Based on the results obtained from the regression and the analysis conducted, the study recommends among others that bank managers should strengthen their internal control systems at all times. The regulatory authorities should be up and doing concerning their supervisory functions. Appropriate disciplinary measures should be taken against culprits of e-frauds so as deter others with such intentions. Also, banks should hold regular trainings for their Information Technology staff to counter the activities of fraudsters that use electronic means to commit fraud.

Sign in / Sign up

Export Citation Format

Share Document