Insights into Economics and Management
Vol. 3
Insights into Economics and Management
Vol. 3
India . United Kingdom
Editor(s)
Dr. Chun-Chien Kuo
Professor, Department of International Business, National Taipei University of Business, Taiwan. Email: [email protected], [email protected];
FIRST EDITION 2020
ISBN 978-93-90516-05-6 (Print) ISBN 978-81-948567-8-8 (eBook) DOI: 10.9734/bpi/ieam/v3
______© Copyright (2020): Authors. The licensee is the publisher (Book Publisher International).
Contents
Preface i
Chapter 1 1-9 Assessment and Analysis of Trading Volume and Return Volatility Relationship on Dow Jones Index Using Stable Paretian GARCH and Threshold GARCH Models Atsuyuki Naka and Ece Oral
Chapter 2 10-25 Do Agriculture Commodities Spill over onto Latin Stock Markets? V. Candila and S. Farace
Chapter 3 26-33 Investigating the Celebrity (“Tiger Effect”) and Other Impacts for Golf Participation in USA Thomas Willey and Douglas Robideaux
Chapter 4 34-51 Investigating the Effect of Campaign Advertising Expenditures on Candidate Quality Signaling in an Election Sung-Kyu Lee
Chapter 5 52-66 A Descriptive Study on Data Profiling: Focusing on Attribute Value Quality Index Won-Jung Jang, Sung-Taek Lee, Jong-Bae Kim and Gwang-Yong Gim
Chapter 6 67-74 Assessing the National Directorate of Employment (NDE) Strategy in Poverty Reduction in Nigeria Dare Ojo, Omonijo, Michael C. Anyaegbunam, Ikenna Godwin, Joe-Akunne, Chidozie Beneth, Obiorah and Nneka Ifedichinma, Nwangwu
Chapter 7 75-85 Assessment of Human Capital Management, Organizational Climate, Commitment and Performance in Latin America Emmanuel Silvestre, Fernando Toro and Alejandro Sanin
Chapter 8 86-94 Monitoring Investor Behavioral Finance: Examining Its Applicability on Egyptian Investors Sharif M. Abu Karsh
Chapter 9 95-109 The Development of Multiperspective of Business to Business E-commerce Maturity Application Norjansalika Janom, Mohd Shanudin Zakaria, Noor Habibah Arshad, Siti Salwa Salleh and Syaripah Ruzaini Syed Aris
Chapter 10 110-144 Application of a Multimodal, Multicommodity International Freight Simultaneous Transportation Equilibrium Model to Sultanate of Oman Mohamad K. Hasan
Chapter 11 145-158 Study on External Reserves Management and Economic Growth in Nigeria (1985- 2013) Akinwunmi, Adeboye Akanni and Ajala, Rosemary Bukola
Preface
This book covers key areas of Economics and Management. The contributions by the authors include Stock return, volatility, trading volume, stable TGARCH, Return Volatility, Threshold GARCH Models, Gaussian distribution, The likelihood ratio test, Agricultural commodity, volatility spillover, volatility impulse response function, Food and Agriculture Organization, Golf participation rates, Tiger Woods effect, celebrity endorser, Electoral lemon problem, campaign expenditures, candidate quality, quality signaling, Bayesian equilibrium, asymmetric information, Attribute value quality index, data profiling, data quality, data value quality index, feature scaling, attribute value quality index (AVQI), structured data value quality index (SDVQI), Industrial Revolution, Assessing, NDE, strategy, poverty, reduction, problem of unemployment and poverty, Nigerian factors, people’s progress and national development, Human capital management practices, organizational climate, organizational commitment, perceived organizational performance, human capital in Latin America, Commitment and Performance, Financial theory, Egyptian investors, stock analysis, anchoring theory, loss aversion, standards of the behavioral finance, investors’ perception regarding market trend, B2B e-commerce, e-readiness, small medium enterprises, maturity assessment application, maturity level, business-to-business (B2B), International multimodal multicommodity network, simultaneous transportation network equilibrium model, integrated transport network, integrated transport system, international freight transport, exporters, importers, External reserves, economic growth, foreign direct investment, exchange rate etc. This book contains various materials suitable for students, researchers and academicians in the field of Economics and Management.
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Chapter 1 Print ISBN: 978-93-90516-05-6, eBook ISBN: 978-81-948567-8-8
Assessment and Analysis of Trading Volume and Return Volatility Relationship on Dow Jones Index Using Stable Paretian GARCH and Threshold GARCH Models
Atsuyuki Naka1 and Ece Oral2*
DOI: 10.9734/bpi/ieam/v3
ABSTRACT
Many models in finance are often based on the assumption that the random variables follow a Gaussian distribution. It is now well known that empirical data have frequently occurring extreme values and cannot be modeled with the Gaussian distribution. The stable distributions, a class of probability distributions that allow skewness and heavy tails, have received great interest in the last decade because of their success in modeling financial data that depart from the Gaussian distribution. This paper examines the volatility of Dow Jones Industrial Average stock returns and the trading volume by employing stable Paretian GARCH and Threshold GARCH (TGARCH) models. Our results indicate that the trading volume significantly contributes to the volatility of stock returns. Additionally, strong leverage effects exist with negative shocks having a larger impact on volatility than positive shocks. The likelihood ratio tests and goodness of fit support the use of stable Paretian GARCH and TGARCH models over Gaussian models.
Keywords: Stock return; volatility; trading volume; stable TGARCH.
1. INTRODUCTION
Statistical inferences regarding the empirical studies of financial economics heavily rely on the assumption that the random variables under investigation follow a normal distribution, yet finance data often depart from the assumptions of Gaussian distributions. Daily stock returns are, in general, known to be skewed and leptokurtic rather than normally distributed. Mandelbrot [1] and Fama [2] were early advocates of using stable Paretian distributions to examine financial data. While different heavy-tailed distributions, such as Student’s t and Generalized Error Distributions (GED), have been used in the literature, stable distributions have distinct advantages over these distributions. The widespread use of statistical inference methods in scientific research has recently been scrutinized and questioned, for reasons outlined in the “ASA Statement on Statistical Significance and P-values” [3,4]. Stable Paretian distributions, which are also called Levy-Pareto distributions, allow for skewness and leptokurtosis and are consistent with the Generalized Central Limit Theorem. This theorem states that regardless of the existence of the variance, the limiting distribution of a sum of independent and identically distributed random variables is stable [5]. In spite of these advantages of a stable distribution, this distribution is not well utilized due to complexity of estimation processes.
Although use of stable distributions to analyze financial data has been presented in the literature, the application to GARCH models is relatively new. The application of stable distributions in finance is traced way back in the late 50s when Mandelbrot [6-8] developed a hypothesis that revolutionalized the way economists viewed and interpreted prices in speculative markets such as grains and securities markets [9]. Paolella and Taschini [10], Tavares et al. [11], Curto et al. [12], and Parrini [13] ______
1University of New Orleans, USA. 2Central Bank of the Republic of Turkey, Turkey. *Corresponding author: E-mail: [email protected];
Insights into Economics and Management Vol. 3 Assessment and Analysis of Trading Volume and Return Volatility Relationship on Dow Jones Index Using Stable Paretian GARCH and Threshold GARCH Models use GARCH models with stable Paretian distributions to examine volatility of financial markets, and these models show better results in terms of goodness of fit criteria compared with models using Gaussian distributions. Mozumder et al. [14] propose GARCH models with stable Paretian innovations in measuring the value-at-risk, expected shortfall and spectral risk measures that promise a noticeably better performance while sustaining simplicity. This paper adds to the literature by focusing on the relationship between stock return volatility and trading volumes. Specifically, we examine the volatility of Dow Jones Industrial Average (DJIA) returns and the trading volume by employing stable Paretian stable GARCH and Threshold GARCH (TGARCH) models and determine whether a choice of distributions improves the empirical results.
Lamoureux and Lastrapes [15] are the first to apply GARCH models to examine the volatility relationship with the trading volume as a proxy for information arrival time according to the mixture of distribution hypothesis (MDH). They find that volume has positive effects on the volatility of stock returns. However, Suominen [16] presents a theoretical model that incorporates the GARCH-like conditional variance as a function of trading volume and argues that the trading volume and the asset volatility can be either positively or negatively correlated. Fong [17], Darrat, et al. [18], Chuang, et al. [19] and others show positive and causal relationships between return volatility and volume traded. Further, Girard and Biswas [20] support the results found by Lamoureux and Lastrapes by using both developed and emerging markets with asymmetric GARCH models.1
2. STABLE PARETIAN DISTRIBUTIONS AND TGARCH MODEL
Stable distributions are a rich class of probability distributions that allows skewness and heavy tails, and suitable to model heavy tailed data such as stock returns, and other financial data. Stable distributions do not have an analytic closed form but can be expressed by their characteristic function. Let a stable Paretian distribution, Sαβ(δ, c), be expressed as its characteristic function:
itX , (1) fX (tEe ) exp itct 1 i sgn( twt ) ( , ) where
tan , 1 w(t,) 2 (2/ )ln t , 1 .
Assume that -
To examine the stock returns and volume relationships, we assume the following simple mean equation which directly addresses those relationships as shown below:
yt = µ+ ut , (2)
where yt is the returns of DJIA, and ut = σtt, with t ~ iid Sα,β(0,1). S, (0, 1) denotes the standard asymmetric stable Paretian distribution with location parameter (δ = 0), and unit scale parameter (c = 1). These assumptions simplify the estimation without altering the properties of the stable distribution, and are commonly imposed in the literature.
1 Taylor [22] presents comprehensive discussion regarding the volatility of financial assets.
2
Insights into Economics and Management Vol. 3 Assessment and Analysis of Trading Volume and Return Volatility Relationship on Dow Jones Index Using Stable Paretian GARCH and Threshold GARCH Models
In this paper, the GARCH(1,1) and TGARCH (1,1) equations for a stable Paretian distribution are modified by adding the daily trading volume (V) in order to analyze how the volume affects the volatility of stock returns. The volume is thought as a proxy variable for unobserved information that flows into the markets and it is assumed to be weakly exogenous.2 Because the residual is given in the standard asymmetric stable Paretian distribution, the conditional variance is expressed in terms of the standard deviation form such as: