scholarly journals High Persistence and Nonlinear Behavior in Financial Variables: A More Powerful Unit Root Testing in the ESTAR Framework

Mathematics ◽  
2021 ◽  
Vol 9 (20) ◽  
pp. 2534
Author(s):  
Tolga Omay ◽  
Aysegul Corakci ◽  
Esra Hasdemir
Keyword(s):  
Interest Rates ◽  
Unit Root ◽  
Nuisance Parameter ◽  
Unit Root Test ◽  
Information Loss ◽  
Smooth Transition ◽  
Unit Root Testing ◽  
Fourier Function ◽  
Near Unit Root ◽  
Model Linearization

In this study, we consider the hybrid nonlinear features of the Exponential Smooth Transition Autoregressive-Fractional Fourier Function (ESTAR-FFF) form unit root test. As is well known, when developing a unit root test for the ESTAR model, linearization is performed by the Taylor approximation, and thereby the nuisance parameter problem is eliminated. Although this linearization process leads to a certain amount of information loss in the unit root testing equation, it also causes the resulting test to be more accessible and consistent. The method that we propose here contributes to the literature in three important ways. First, it reduces the information loss that arises due to the Taylor expansion. Second, the research to date has tended to misinterpret the Fourier function used with the Kapetanios, Shin and Snell (2003) (KSS) unit root test and considers it to capture multiple smooth transition structural breaks. The simulation studies that we carry out in this study clearly show that the Fourier function only restores the Taylor residuals of the ESTAR type function rather than accounting forthe smooth structural break. Third, the new nonlinear unit root test developed in this paper has very strong power in the highly persistent near unit root environment that the financial data exhibit. The application of the Kapetanios Shin Snell- Fractional Fourier (KSS-FF) test to ex-post real interest rates data of 11 OECD countries for country-specific sample periods shows that the new test catches nonlinear stationarity in many more countries than the KSS test itself.

scholarly journals Smooth Break Detection and De-Trending in Unit Root Testing

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 371
Author(s):  
Furkan Emirmahmutoglu ◽  
Tolga Omay ◽  
Syed Jawad Hussain Shahzad ◽  
Safwan Mohd Nor
Keyword(s):  
Unit Root ◽  
Structural Breaks ◽  
Structural Break ◽  
Unit Root Tests ◽  
Smooth Transition ◽  
Unit Root Testing ◽  
Augmented Dickey Fuller ◽  
Power Comparisons ◽  
Fourier Function ◽  
Unexpected Outcomes

This study explores the methods to de-trend the smooth structural break processes while conducting the unit root tests. The two most commonly applied approaches for modelling smooth structural breaks namely the smooth transition and the Fourier functions are considered. We perform a sequence of power comparisons among alternative unit root tests that accommodate smooth or sharp structural breaks. The power experiments demonstrate that the unit root tests utilizing the Fourier function lead to unexpected results. Furthermore, through simulation studies, we investigate the source of such unexpected outcomes. Moreover, we provide the asymptotic distribution of two recently proposed unit root tests, namely Fourier-Augmented Dickey–Fuller (FADF) and Fourier-Kapetanios, Shin and Shell (FKSS), which are not given in the original studies. Lastly, we find that the selection of de-trending function is pivotal for unit root testing with structural breaks.

Unit Root Testing in the Presence of Mean Reverting Jumps: Evidence from US T-Bond Yields

2019 ◽  
Vol 20 (2) ◽  
pp. 145-152
Author(s):  
Deniz Ilalan ◽  
Özgür Özel
Keyword(s):  
Interest Rates ◽  
Unit Root ◽  
Unit Root Test ◽  
Mean Reversion ◽  
Point Of View ◽  
Bond Yields ◽  
Unit Root Testing ◽  
Augmented Dickey Fuller ◽  
Treasury Bond ◽  
Adf Test

AbstractMean reversion of financial data, especially interest rates is often tested by linear unit root tests. However, there are times where linear unit root test results can be misleading especially when mean reverting jump formations are at stage. Considering this framework, we provide a new unit root testing methodology and compute its asymptotic critical values via Monte Carlo simulation. Moreover, we numerically compare the power of this generalized mean reversion test with the pioneering linear unit root test in the literature namely the Augmented Dickey Fuller (ADF) test. We deduce that our test is a refinement of ADF test with a higher power. We apply our findings to US 10-year Treasury bond yields. We aim to shed light to the discussion among researchers whether interest rates can sometimes revert to a long-term constant mean or not from an unorthodox point of view.

scholarly journals THE WEAK FORM MARKET EFFICIENCY IN THE MSCI ETF INDICES: CONVENTIONAL AND THE FOURIER UNIT ROOT TEST ON THE DEVELOPED AND DEVELOPING COUNTRIES

2020 ◽  
Vol 8 (4) ◽  
pp. 409-423
Author(s):  
Sümeyra GAZEL
Keyword(s):  
Developing Countries ◽  
Unit Root ◽  
Structural Break ◽  
Unit Root Test ◽  
Weak Form ◽  
Efficient Market Hypothesis ◽  
Developed Countries ◽  
Exchange Traded Funds ◽  
Unit Root Testing ◽  
Daily Data

In this study, weak form efficiency of the Exchange Traded Funds (ETF) in the Morgan Stanley Capital International (MSCI) Index of developed and developing countries is tested. The Fourier Unit Root test, which does not lose its predictive power in terms of structural break date, number and form, is used on daily data. Also, conventional unit root tests are used for comparison between two different tests. Analysis results indicate common findings in some countries for both unit root testing. However, the Fourier unit root test results relatively more support the assumption of efficient market hypothesis that developed countries may be more efficient than developing countries.

Are regional house prices stationary in Iran? New evidence using Fourier quantile unit root test

2019 ◽  
Vol 12 (5) ◽  
pp. 849-864
Author(s):  
Arash Hadizadeh
Keyword(s):  
Interest Rates ◽  
Housing Market ◽  
Unit Root ◽  
House Prices ◽  
Housing Prices ◽  
Unit Root Test ◽  
Generalized Least Squares ◽  
Main Concern ◽  
Content Type ◽  
Positive Effects

Purpose In the Iranian economy, investing in the housing market has been very important and beneficial for investors and households, because of inflationary environment, low real interest rates, underdeveloped financial and tax systems and economic sanctions. Hence, prediction of house prices is the main concern of housing market agents in the economy. The purpose of this paper is to test the stationary properties of Iran's provinces to improve the prediction of future housing prices. Design/methodology/approach In this paper, the authors have tested the stationary properties of 20 Iran’s province centers over the period from 1993 to 2017 using a novel Fourier quantile unit root test and conventional ordinary/generalized least squares (O/GLS) linear unit root/stationary tests. Findings According to conventional O/GLS linear unit root/stationary tests, most of the house prices series exhibit random walk behavior, whereas by applying the Fourier quantile unit root test, the null hypothesis of unit root is rejected for 15 out of 20 series. Other results indicated that house prices of cities responded differently to positive and negative shocks. Originality/value Previous studies only addressed conventional OLS or GLS linear unit root or stationary tests, but novel Fourier quantile unit root test was not used. New results were obtained based on this unit root test, that, as a priori knowledge, will help benefiting from the positive effects, or avoiding being victimized by the negative effects.

The effects of shocks on Turkish tourism demand: Evidence using panel unit root test

2020 ◽  
pp. 135481661989983 ◽  
Author(s):  
Yagmur Saglam ◽  
Apostolos Ampountolas
Keyword(s):  
Empirical Study ◽  
Unit Root ◽  
Structural Breaks ◽  
Structural Break ◽  
Unit Root Test ◽  
Transition Process ◽  
Smooth Transition ◽  
Tourism Demand ◽  
Panel Unit Root Test ◽  
Panel Unit Root

This empirical study examines the stationarity of tourism demand in Turkey in response to the effects of structural breaks, which indicate external or internal shocks based on tourist arrivals from 12 Slavic-speaking countries between 2000 and 2016. We employed a panel unit root test based on the Flexible Fourier approach, which Karul enhanced to allow gradual shifts and a smooth transition process; structural break dates come from the Carrion-i-Silvestre unit root test framework. The empirical findings indicate that there are differences in the effects of these structural breaks across the 12 countries in question.

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 MEASURING CO-MOVEMENT OF REAL INTEREST RATE AND INFLATION RATE: USING VEC APPROACH

2020 ◽  
Vol 7 (6) ◽  
pp. 66-76
Author(s):  
Md. Rasel Hossain ◽  
Ahsanul Haque ◽  
Md. Abdullah Amir Hamja ◽  
M. Shohel Rana
Keyword(s):  
Causal Relationship ◽  
Unit Root ◽  
Unit Root Test ◽  
Testing Procedure ◽  
Vector Error Correction ◽  
Unit Root Testing ◽  
Vec Model ◽  
Long Run ◽  
Short Run ◽  
Johansen Cointegration Test

It is important to know the future movement of economic variables for the planning and development of a country, Vector Error Correction (VEC) Model has been applied to disclose hidden long run as well as short-run patterns of the selected variables. ADF unit root testing procedure was applied to satisfy the conditions of applying the VEC Model. Using Johansen cointegration test long-run cointegration has been justified. But the VEC model reveals that long run significant causal relationship between the variables whereas there is no short-run causal relationship. The parameter was estimated using the OLS estimation technique. The validity of the model was confirmed by applying different quantitative approaches such as normality test, autocorrelation test, Portmanteau test, Unit root test, and various graphical approaches which suggested model selection and estimation were correct. The result of this present study may help Govt. agencies as well as planners to take an idea.

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