• 한국시스템다이내믹스연구
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• 제8권2호
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• pp.25-49
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• 2007

An important assumption of the classical linear regression model is that the disturbances appearing in the population regression function are homoskedastic; that is, they all have the same variance. If we persist in using the usual testing procedures despite heteroskedasticity, what ever conclusions we draw or inferences we make be very misleading. The contribution of this paper will be to the concrete procedure of the proper estimation when the heteroskedasticity does exist in the data, because the quality of dependent variable predictions, i.e., the estimated variance of the dependent variable, can be improved by giving consideration to the issues of regional homogeneity and/or heteroskedasticity across the research area. With respect to estimation, specific attention should be paid to the selection of the appropriate strategy in terms of the auxiliary regression model. The paper shows that by testing for heteroskedasticity, and by using robust methods in the presence of with and without heteroskedasticity, more efficient statistical inferences are provided.

• Communications for Statistical Applications and Methods
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• 제22권6호
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• pp.615-624
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• 2015

We consider the estimation of seasonal cointegration in the presence of conditional heteroskedasticity (CH) using a feasible generalized least squares method. We capture cointegrating relationships and time-varying volatility for long-run and short-run dynamics in the same model. This procedure can be easily implemented using common methods such as ordinary least squares and generalized least squares. The maximum likelihood (ML) estimation method is computationally difficult and may not be feasible for larger models. The simulation results indicate that the proposed method is superior to the ML method when CH exists. In order to illustrate the proposed method, an empirical example is presented to model a seasonally cointegrated times series under CH.

• 무역학회지
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• 제47권3호
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• pp.211-232
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• 2022

Due to the impact of the public health event COVID-19 epidemic, the Chinese futures market showed "Black Swan". This has brought the unpredictable into the economic environment with many commodities falling by the daily limit, while gold performed well and closed in the sunshine(Yan-Li and Rui Qian-Wang, 2020). Volatility is integral part of financial market. As an emerging market and a special precious metal, it is important to forecast return of gold futures price. This study selected data of the SHFE gold futures returns and conducted an empirical analysis based on the generalised autoregressive conditional heteroskedasticity (GARCH)-type model. Comparing the statistics of AIC, SC and H-QC, ARMA (12,9) model was selected as the best model. But serial correlation in the squared returns suggests conditional heteroskedasticity. Next part we established the autoregressive moving average ARMA-GARCH-type model to analysis whether Volatility Clustering and the leverage effect exist in the Chinese gold futures market. we consider three different distributions of innovation to explain fat-tailed features of financial returns. Additionally, the error degree and prediction results of different models were evaluated in terms of mean squared error (MSE), mean absolute error (MAE), Theil inequality coefficient(TIC) and root mean-squared error (RMSE). The results show that the ARMA(12,9)-TGARCH(2,2) model under Student's t-distribution outperforms other models when predicting the Chinese gold futures return series.

• Journal of Information Technology Applications and Management
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• 제19권1호
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• pp.1-12
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• 2012

Data mining is the process of searching and analyzing large quantities of data for finding out meaningful patterns and rules. Artificial Neural Network (ANN) is one of the tools of data mining which is becoming very popular in forecasting the future values. Some of the areas where it is used are banking, medicine, retailing and fraud detection. In finance, artificial neural network is used in various disciplines including stock market forecasting. In the stock market time series, due to high volatility, it is very important to choose a model which reads volatility and forecasts the future values considering volatility as one of the major attributes for forecasting. In this paper, an attempt is made to develop two models - one using feed forward back propagation Artificial Neural Network and the other using Autoregressive Conditional Heteroskedasticity (ARCH) technique for forecasting stock market returns. Various parameters which are considered for the design of optimal ANN model development are input and output data normalization, transfer function and neuron/s at input, hidden and output layers, number of hidden layers, values with respect to momentum, learning rate and error tolerance. Simulations have been done using prices of daily close of Sensex. Stock market returns are chosen as input data and output is the forecasted return. Simulations of the Model have been done using MATLAB$^{(R)}$ 6.1.0.450 and EViews 4.1. Convergence and performance of models have been evaluated on the basis of the simulation results. Performance evaluation is done on the basis of the errors calculated between the actual and predicted values.

• 응용통계연구
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• 제28권3호
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• pp.429-442
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• 2015

변동성(volatility)은 투자위험을 의미하며 자산의 가격결정이나 포트폴리오 관리 및 투자전략에서 아주 중요한 역할을 한다. 이러한 변동성을 모형화하기 위한 조건부 이분산 모형으로서 전통적인 GARCH(generalized autoregressive conditional heteroskedastic) 모형 및 확장된 형태들이 널리 사용되어지고 있으나, 금융위기와 재정위기와 같은 구조적 변화를 변동성 예측에 반영할 수 없다는 단점을 가지고 있다. 본 논문에서는 이를 극복하기 위한 모형으로서 국면전환 GARCH(Markov regime switching GARCH) 모형을 소개하고, 한국의 일별 KOSPI 수익률에 적용하여 변동성 분석 및 예측을 실시하고, 기존의 GARCH 모형들과 비교하여 그 성능을 평가한다. 그 결과 표본 내(in-sample)의 변동성 적합도 측면에서 국면전환 GARCH 모형이 가장 우수한 성능을 보였으며, 표본 외(out-of-sample) 예측력 측면에서는 국면전환 GARCH 모형이 단기적 예측에서 좋지 않은 성능을 보였으나 장기적 예측에서 우수함을 보였다.

• 한국항만경제학회지
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• 제34권1호
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• pp.99-110
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• 2018

본 연구는 해운기업의 주요 비용요인 벙커 가격과 환율의 불확실성으로 인한 재무적 리스크를 수치화하는 방법론을 2010년 1월 1일부터 2018년 1월 31일까지의 일별자료를 대상으로 적용한다. 기하브라운 운동 (Geometric Brownian Motion 이하 GBM)과 이를 확장한 조건부 이분산성(heteroskedasticity) 및 점프 확산 프로세스(jump diffusion process)에 의존하는 모형으로부터 추정한 현금 흐름 리스크 추정치는 다음 세 가지 학술적 기여로 요약할 수 있다. 첫째, 운임수익률과 같은 단일 변수에 의존한 리스크 분석을 벙커가격과 환율 수익률 변동성과 같이 복합요인으로부터 발생하는 영향으로 분석을 확장하였다. 둘째, 개별기업 수준에서 벙커가격과 환율 리크스 관리의 필요성을 민감도 분석을 통해 현금흐름수준으로 제시하였다. 마지막으로 분석결과가 제시하는 리스크 규모를 근거로 해운기업은 리스크 관리를 위한 수단으로 무엇이 적절한가를 고민해야 할 필요성이 있음을 제기한다.

• The Journal of Asian Finance, Economics and Business
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• 제2권3호
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• pp.17-22
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• 2015

This paper examines the effect of impulsiveness of euro on Indian stock market. In order to examine the problem, we select rupee-euro exchange rates and S&P CNX NIFTY and BSE30 SENSEX to represent stock price. We select euro as it considered as second most widely used currency at the international level after dollar. The data are collected a daily basis over a period of 3-Apr-2007 to 30-Mar-2012. The statistical and time series properties of each and every variable have examined using the conventional unit root such as ADF and PP test. Adopting a generalized autoregressive conditional heteroskedasticity (GARCH) and exponential GARCH (EGARCH) model, the study suggests a negative relationship between exchange rate and stock prices in India. Even though India is a major trade partner of European Union, the study couldn't find any significant statistical effect of fluctuations in Euro-rupee exchange rates on stock prices. The study also reveals that shocks to exchange rate have symmetric effect on stock prices and exchange rate fluctuations have permanent effects on stock price volatility in India.

• Journal of the Korean Data and Information Science Society
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• 제28권3호
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• pp.697-707
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• 2017

In this paper, we propose a modified GARCH(p, q)-X model which is obtained by adding the exogenous variables to the modified GARCH(p, q) process. Some limiting properties are shown under various stationary and nonstationary exogenous processes which are generated by another process independent of the noise process. The proposed model extends the GARCH(1, 1)-X model studied by Han (2015) to various GARCH(p, q)-type models such as GJR GARCH, asymptotic power GARCH and VGARCH combined with exogenous process. In comparison with GARCH(1, 1)-X, we expect that many stylized facts including long memory property of the financial time series can be explained effectively by modified GARCH(p, q) model combined with proper additional covariate.

• 아태비즈니스연구
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• 제9권2호
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• pp.59-74
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• 2018

It is well known that market transactions do not lead to social optima when externalities exist. Given that previous studies such as RICARDO-AEA(2014) have identified various types of external costs, we must take their magnitudes, or externalities in general, into account in order to make toll prices to achieve social optimum. Little has been done on estimation of externalities in road uses in Korea, to the best of our knowledge. We suggested to use the contingent valuation method (CVM) to estimate overall social benefits and applied it to estimation of benefits of road kill prevention as a pilot study. Our empirical model has considered heteroskedasticity explicitly and its estimation result was that individual drivers were willing to pay 147 KRW on average in addition to current toll prices for prevention of road kills. We provided general discussions of externalities in road use and various internalization measures.

• 자원ㆍ환경경제연구
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• 제10권4호
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• pp.515-545
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• 2001

This paper introduces the least absolute deviations estimation of the contingent valuation model, which corresponds to the semi-parametric estimation of discrete choice models by Manski (1975, 1985) and Lee (1992). The least absolute deviations estimation is more robust to mis-specified distributional assumptions in the estimation of the contingent valuation model, compared to the maximum likelihood estimation. The full identification and strong consistency of the estimation are proved and its application to different formats of contingent valuation survey data is discussed. Simulation studies are designed to evaluate its operational characteristics including computational strategies, small sample properties and the efficiency gain of a follow-up question. The bias and efficiency of least absolute deviations and maximum likelihood estimation are compared in the presence of heteroskedasticity.