scholarly journals An Overview of FIGARCH and Related Time Series Models

2016 ◽  
Vol 41 (3) ◽  
Author(s):  
Maryam Tayefi ◽  
T.V. Ramanathan
Keyword(s):  
Time Series ◽  
Moving Average ◽  
Option Prices ◽  
Market Returns ◽  
Future Directions ◽  
Stock Market Returns ◽  
Inflation Rates ◽  
Modeling Volatility ◽  
Figarch Model ◽  
Arfima Model

This paper reviews the theory and applications related to fractionally integrated generalized autoregressive conditional heteroscedastic (FIGARCH) models, mainly for describing the observed persistence in the volatility of a time series. The long memory nature of FIGARCH models allows to be a better candidate than other conditional heteroscedastic models for modeling volatility in exchange rates, option prices, stock market returns and inflation rates. We discuss some of the important properties of FIGARCH models inthis review. We also compare the FIGARCH with the autoregressive fractionally integrated moving average (ARFIMA) model. Problems related to parameter estimation and forecasting using a FIGARCH model are presented. The application of a FIGARCH model to exchange rate data is discussed. We briefly introduce some other models, that are closely related to FIGARCH models. The paper ends with some concluding remarks and future directions of research.

scholarly journals Effects of Interest Rate on Stock Market Returns in Kenya

2017 ◽  
Vol 9 (8) ◽  
pp. 40
Author(s):  
Donald A. Otieno ◽  
Rose W. Ngugi ◽  
Nelson H. W. Wawire
Keyword(s):  
Interest Rate ◽  
Stock Market ◽  
Granger Causality ◽  
Moving Average ◽  
Market Returns ◽  
Treasury Bills ◽  
Stock Market Returns ◽  
Long Run ◽  
Lending Rate ◽  
Short Run

Debate on the stochastic behaviour of stock market returns, 3-month Treasury Bills rate, lending rate and their cointegrating residuals remains unsettled. This study examines the stochastic properties of the macroeconomic variables, stock market returns and their cointegrating residuals using an Autoregressive Fractionally Integrated Moving Average (ARFIMA) model. It also investigates Granger causality between the two measures of interest rate and stock market returns. The study uses monthly data from 1st January 1993 to 31st December 2015. The results indicate that the 3-month Treasury Bills rate, lending rate and stock market returns are fractionally integrated which implies that shocks to the variables persist but eventually disappear. The results also reveal that the cointegrating residuals are fractionally integrated which suggests that a new and harmful long-run equilibrium might be established when each of the measures of interest rate is driven away from stock market returns. Additionally, the results indicate that the 3-month Treasury Bills rate and lending rate negatively Granger cause stock market returns in the long run. This suggests that stocks and Treasury Bills are competing investment assets. On the other hand, ARFIMA-based Granger causality reveals that stock market returns lead the 3-month Treasury Bills rate and lending rate with a negative sign in the short run. This implies that a prosperous stock market results into a favorable macroeconomic environment. A key contribution of this study is that it is the first to empirically examine fractional cointegration and ARFIMA-based Granger Causality between interest rate and stock market returns in Kenya.

Great Salt Lake Surface Level Forecasting Using FIGARCH Model

2007 ◽  
Author(s):  
Qianru Li ◽  
Christophe Tricaud ◽  
Rongtao Sun ◽  
YangQuan Chen
Keyword(s):  
Time Series ◽  
Fractional Integral ◽  
Salt Lake ◽  
Moving Average ◽  
Great Salt Lake ◽  
Conditional Heteroskedasticity ◽  
High Volatility ◽  
Auto Regressive ◽  
Figarch Model ◽  
Auto Regression

In this paper, we have examined 4 models for Great Salt Lake level forecasting: ARMA (Auto-Regression and Moving Average), ARFIMA (Auto-Regressive Fractional Integral and Moving Average), GARCH (Generalized Auto-Regressive Conditional Heteroskedasticity) and FIGARCH (Fractional Integral Generalized Auto-Regressive Conditional Heteroskedasticity). Through our empirical data analysis where we divide the time series in two parts (first 2000 measurement points in Part-1 and the rest is Part-2), we found that for Part-2 data, FIGARCH offers best performance indicating that conditional heteroscedasticity should be included in time series with high volatility.

Modeling and Prediction of Great Salt Lake Elevation Time Series Based on ARFIMA

2007 ◽  
Author(s):  
Rongtao Sun ◽  
YangQuan Chen ◽  
Qianru Li
Keyword(s):  
Time Series ◽  
Salt Lake ◽  
Moving Average ◽  
Great Salt Lake ◽  
Estimation Methods ◽  
Arma Models ◽  
Modeling And Prediction ◽  
The People ◽  
Arfima Model ◽  
Parameter Estimation Methods

The elevation of Great Salt Lake (GSL) has a great impact on the people of Utah. The flood of GSL in 1982 has caused a loss of millions of dollars. Therefore, it is very important to predict the GSL levels as precisely as possible. This paper points out the reason why conventional methods failed to describe adequately the rise and fall of the GSL levels — the long-range dependence (LRD) property. The LRD of GSL elevation time series is characterized by some most commonly used Hurst parameter estimation methods in this paper. Then, according to the revealed LRD, the autoregressive fractional integrated moving average (ARFIMA) model is applied to analyze the data and predict the future levels. We have shown that the prediction results has a better performance compared to the conventional ARMA models.

scholarly journals Forecasting RMB Exchange Rate Based on a Nonlinear Combination Model of ARFIMA, SVM, and BPNN

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Chi Xie ◽  
Zhou Mao ◽  
Gang-Jin Wang
Keyword(s):  
Time Series ◽  
Exchange Rate ◽  
Financial Time Series ◽  
Moving Average ◽  
Back Propagation ◽  
Back Propagation Neural Network ◽  
Support Vector ◽  
Rmb Exchange Rate ◽  
Combination Model ◽  
Arfima Model

There are various models to predict financial time series like the RMB exchange rate. In this paper, considering the complex characteristics of RMB exchange rate, we build a nonlinear combination model of the autoregressive fractionally integrated moving average (ARFIMA) model, the support vector machine (SVM) model, and the back-propagation neural network (BPNN) model to forecast the RMB exchange rate. The basic idea of the nonlinear combination model (NCM) is to make the prediction more effective by combining different models’ advantages, and the weight of the combination model is determined by a nonlinear weighted mechanism. The RMB exchange rate against US dollar (RMB/USD) and the RMB exchange rate against Euro (RMB/EUR) are used as the empirical examples to evaluate the performance of NCM. The results show that the prediction performance of the nonlinear combination model is better than the single models and the linear combination models, and the nonlinear combination model is suitable for the prediction of the special time series, such as the RMB exchange rate.

scholarly journals Analysis of cyclical behavior in time series of stock market returns

2018 ◽  
Vol 54 ◽  
pp. 21-33 ◽  
Author(s):  
Djordje Stratimirović ◽  
Darko Sarvan ◽  
Vladimir Miljković ◽  
Suzana Blesić
Keyword(s):  
Time Series ◽  
Stock Market ◽  
Market Returns ◽  
Stock Market Returns ◽  
Cyclical Behavior
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