Abstract

In economies that are open to foreign markets the numerical value of the currencies as a macroeconomic variable is of great importance especially when the mutual dependency among the economies is concerned. When it is considered in terms of political economy, the targeted level of the currencies have vital importance especially in economies that have the characteristics of export-driven growth and in economies that struggle not to disrupt the picture in macroeconomic design. When it is considered that each time series has a structure that is sensitive to its own internal dynamics (sometimes these dynamics are expressed as the time series components), these dynamics provide us with coordinates for estimations and may eliminate the compulsory dependency on the outsourced variables at a serious level. This is exactly what has been done in this study. First of all, the non-linear time series analyses are examined in terms of linearity tests, and the linearity tests are applied for all parties and for different time periods. Then, the SETAR Modelling, which is the title of the study, has been applied in order to explain the non-linear pattern in detail. The SETAR Modelling process and other definitions statistical analyses of this model have been applied in relevant parities for separate time periods. The SETAR model, which is one of the TAR Group modeling, shows a better performance than many other linear and non-linear modeling. In this study, the secondary purpose is to express that the SETAR model performance is superior to the other models by considering the observation values of the parities.

Highlights

  • Introduction and the LiteratureThe TAR (Threshold Autoregressive) Model Family, 1 Self-excited Autoregressive Models (SETAR)-type non-linearity tests were included in the articles of the same which is important in non-linear time series modelling authors and the article was published in Applied Statistics Magazine in SETAR (Self-exciting Threshold Autoregressive) Non-linear Currency Modelling in EUR/USD, EUR/TRY and USD/TRY Parities evaluated the performances of Hybrid AR, SETAR and ARM models

  • The parities that are expressed as major parties, which are many in number among the currency parities, and the EUR/USD parity, which is active in operations in spot currency market, and the USD/TRY, EUR/TRY parities, which are convertible into TL will be taken as the basis

  • The parities will be examined for descriptive statistics in 3-period intervals as D1 (1-day), W1 (1-week), MN (1-month); and for linearity tests, the examination will be made as D1 (1-day), W1 (1-week), MN (1-month)

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Summary

Introduction and the Literature

The TAR (Threshold Autoregressive) Model Family, 1 SETAR-type non-linearity tests were included in the articles of the same which is important in non-linear time series modelling authors and the article was published in Applied Statistics Magazine in SETAR (Self-exciting Threshold Autoregressive) Non-linear Currency Modelling in EUR/USD, EUR/TRY and USD/TRY Parities evaluated the performances of Hybrid AR, SETAR and ARM models. Boero and Lampis (2016) in [3] conducted a study for 4 major European countries and applied SETAR modeling by using Industrial Production Index (IPI) values, and investigated the belief that claimed that the dynamic determination process increased the prediction performance (Terӓsvirta et al (2005)). According to the different forms of the xt−d threshold variable, the TAR group models show differences. In this sense, the SETAR Modelling will be examined in the title. There are few origin studies in the field of threshold autoregressive models, several studies attract attention. [2] and [21] conducted studies and expressed the following procedure about the SETAR models and parameter estimations, which we will explain

TAR Group Models
Tong’s Approach
Tsay’s Approach
Although Tong suggested the maximum level in the regimes as
Application on Currencies
Linearity Tests
Keenan’s One-Degree Test for Nonlinearity
Tsay’s Test for Nonlinearity
Likelihood Ratio Test for Threshold Nonlinearity
Applying the Linearity Tests to the Relevant Parameters
Applying the SETAR Modelling to Parities
Conclusions
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