• Title/Summary/Keyword: 비대칭 변동성 모형

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A Study on the Asymmetric Volatility in the Korean Bond Market (채권시장 변동성의 비대칭적 반응에 관한 연구)

  • Kim, Hyun-Seok
    • Management & Information Systems Review
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    • v.28 no.4
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    • pp.93-108
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    • 2009
  • This study examines the asymmetric volatility in the Korean bond market and stock market by using the KTB Prime Index and KOSPI. Because accurate estimation and forecasting of volatility is essential before investing assets, it is important to understand the asymmetric response of volatility in bond market. Therefore I investigate the existence of asymmetric volatility in Korean bond market unlike the previous studies which mainly focused on stock returns. The main results of the empirical analysis with GARCH and GJR-GARCH model are as follow. At first, it exists the asymmetric volatility on KOSPI returns like the previous studies. Also, I find that the GJR-GARCH is more suitable one than GARCH model for forecasting volatility. Second, it does not exist the asymmetric volatility on KTB Prime Index returns. This result is showed by that using the GARCH model for forecasting volatility in bond market is sufficient.

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우리나라 주식수익률(株式收益率)의 변동성(變動性)과 정보비대칭(情報非對稱)에 관한 실증적(實證的) 연구(硏究) - ARCH형태(形態)의 모형(模型)을 중심(中心)으로 -

  • Lee, Yun-Seon
    • The Korean Journal of Financial Studies
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    • v.3 no.2
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    • pp.157-185
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    • 1996
  • 본 연구는 한국증권시장에서 변동성의 정보비대칭효과를 조건부 이분산모형을 이용하여 검증하고자 하였다. 검증방법으로는 Engle과 Ng (1993)의 연구에 기초하여 정보반응곡선(News impact curve)으로 분석하였다. 분석자료로 1980년 부터 1995년 까지의 한국종합주가지수, 일별 초과수익률자료를 사용하였다. 정보반응곡선에 이용한 모형은 GARCH 모형, EGARCH 모형, TGARCH 모형, AGARCH 모형등 4개의 조건부 이분산 모형이다. 무조건 분산을 이용한 정보 반응곡선의 함수형태로 보면, 분산의 정보반응에 있어서 GARCH 모형은 대칭적으로 반응하며 나머지 조건부 이분산 모형인 EGARCH 모형, TGARCH 모형, 그리고 AGARCH 모형은 비대칭적으로 반응하는 모형임을 알 수 있었다. 실증분석결과 정보반응곡선을 통하여 악재(bad news)정보에 따라 예측하지 못한 주식수익률의 하락이 호재(good news)에 따른 예측하지 못한 주식수익률의 상승보다 더 큰 변동성을 발견할 수 있었다. 그러나 비대칭성의 크기는 그다지 큰 것으로 보이지 않았다. 모형적합성 검정에서도 4개의 조건부 이분산 모형은 모두 적합한 것으로 보인다. 그중에서도 EGARCH 모형과 TGARCH 모형이 상대적으로 주가예측력이 뛰어나 보인다. 그러나 변동성의 정보 비대칭반응을 통계적으로 유의적인 것으로 확인한 모형은 TGARCH모형 뿐이었다.

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LIHAR model for forecasting realized volatilities featuring long-memory and asymmetry (장기기억성과 비대칭성을 띠는 실현변동성의 예측을 위한 LIHAR모형)

  • Shin, Jiwon;Shin, Dong Wan
    • The Korean Journal of Applied Statistics
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    • v.29 no.7
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    • pp.1213-1229
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    • 2016
  • Cho and Shin (2016) recently demonstrated that an integrated HAR model has a forecast advantage over the HAR model of Corsi (2009). Recalling that realized volatilities of financial assets have asymmetries, we add a leverage term to the integrated HAR model, yielding the LIHAR model. Out-of-sample forecast comparisons show superiority of the LIHAR model over the HAR and IHAR models. The comparison was made for all the 20 realized volatilities in the Oxford-Man Realized Library focusing specially on the DJIA, the S&P 500, the Russell 2000, and the KOSPI. Analysis of the realized volatility data sets reveal apparent long-memory and asymmetry. The LIHAR model takes advantage of the long-memory and asymmetry and produces better forecasts than the HAR, IHAR, LHAR models.

The Introduction of KOSPI 200 Stock Price Index Futures and the Asymmetric Volatility in the Stock Market (KOSPI 200 주가지수선물 도입과 주식시장의 비대칭적 변동성)

  • Byun, Jong-Cook;Jo, Jung-Il
    • The Korean Journal of Financial Management
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    • v.20 no.1
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    • pp.191-212
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    • 2003
  • Recently, there is a growing body of literature that suggests that information inefficiency is one of the causes of the asymmetric volatility. If this explanation for the asymmetric volatility is appropriate, then innovations, such as the introduction of futures, may be expected to impact the asymmetric volatility of stock market. As transaction costs and margin requirements in the futures market are lower than those in the spot market, new information is transmitted to futures prices more quickly and affects spot prices through arbitrage trading with spots. Also, the merit of the futures market may attract noise traders away from the spot market to the futures market. This study examines the impact of futures on the asymmetry of stock market volatility. If the asymmetric volatility is significant lower post-futures and exist in the futures market, it has validity that the asymmetric volatility is caused by information inefficiency in the spot market. The data examined are daily logarithmic returns on KOSPI 200 stock price index from January 4, 1993 to December 26, 2000. To examine the existence of the asymmetric volatility in the futures market, logarithmic returns on KOSPI 200 futures are used from May 4, 1996 to December 26, 2000. We used a conditional mode of TGARCH(threshold GARCH) of Glosten, Jagannathan and Runkel(1993). Pre-futures the spot market exhibits significant asymmetric responses of volatility to news and post-futures asymmetries are significantly lower, irrespective of bear market and bull market. The results suggest that the introduction of stock index futures has an effect on the asymmetric volatility of the spot market and are inconsistent with leverage being the sole explanation of asymmetry. However, it is found that the volatility of futures is not so asymmetric as expected.

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A Study on Information Availability and Asymmetric Volatility in the Korea Stock Market (정보량과 비대칭적 변동성에 관한 연구)

  • An, Seung-Cheol;Jang, Seung-Uk;Ha, Jong-Bae
    • The Korean Journal of Financial Management
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    • v.25 no.1
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    • pp.109-140
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    • 2008
  • The primary objective of this paper investigates whether asymmetric volatility phenomenon is caused by differences of opinion among investors and analyses information availability has an effect on asymmetric volatility. The empirical test period covers recent 6 years from January 4, 2000 to December 29, 2005. Five portfolios have been formed according to information availability(volume and market value). For the purpose of this study, We use TGARCH model, TGARCH-M model and adjusted model which include trading volume as a proxy differences of opinion among investors. The results are summarized as follows ; First, adjusted model analysis shows that asymmetric volatility phenomenon is disappeared or asymmetric coefficient and ratio is decreased than basis model. Second, portfolio analysis shows that the higher volume and market value, the more prominent asymmetric volatility phenomenon. And adjusted model analysis shows the higher volume and market value, the more decrease asymmetric ratio. Over all, assertion that differences of opinion among investors has caused asymmetric volatility phenomenon is regarded as reasonable. And, We see that information availability have great effect on asymmetric volatility phenomenon. We think that theses results can also occur opinion adjustment of optimistic investors. Namely, asymmetric volatility phenomenon can occur difference of information authenticity.

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I-TGARCH Models and Persistent Volatilities with Applications to Time Series in Korea (지속-변동성을 가진 비대칭 TGARCH 모형을 이용한 국내금융시계열 분석)

  • Hong, S.Y.;Choi, S.M.;Park, J.A.;Baek, J.S.;Hwang, S.Y.
    • Communications for Statistical Applications and Methods
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    • v.16 no.4
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    • pp.605-614
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    • 2009
  • TGARCH models characterized by asymmetric volatilities have been useful for analyzing various time series in financial econometrics. We are concerned with persistent volatility in the TGARCH context. Park et al. (2009) introduced I-TGARCH process exhibiting a certain persistency in volatility. This article applies I-TGARCH model to various financial time series in Korea and it is obtained that I-TGARCH provides a better fit than competing models.

Volatility-nonstationary GARCH(1,1) models featuring threshold-asymmetry and power transformation (분계점 비대칭과 멱변환 특징을 가진 비정상-변동성 모형)

  • Choi, Sun Woo;Hwang, Sun Young;Lee, Sung Duck
    • The Korean Journal of Applied Statistics
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    • v.33 no.6
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    • pp.713-722
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    • 2020
  • Contrasted with the standard symmetric GARCH models, we consider a broad class of threshold-asymmetric models to analyse financial time series exhibiting asymmetric volatility. By further introducing power transformations, we add more flexibilities to the asymmetric class, thereby leading to power transformed and asymmetric volatility models. In particular, the paper is concerned with the nonstationary volatilities in which conditions for integrated volatility and explosive volatility are separately discussed. Dow Jones Industrial Average is analysed for illustration.

Estimation of BDI Volatility: Leverage GARCH Models (BDI의 변동성 추정: 레버리지 GARCH 모형을 중심으로)

  • Mo, Soo-Won;Lee, Kwang-Bae
    • Journal of Korea Port Economic Association
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    • v.30 no.3
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    • pp.1-14
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    • 2014
  • This paper aims at measuring how new information is incorporated into volatility estimates. Various GARCH models are compared and estimated with daily BDI(Baltic Dry Index) data. While most researchers agree that volatility is predictable, they differ on how this volatility predictability should be modelled. This study, hence, introduces the asymmetric or leverage volatility models, in which good news and bad news have different predictability for future. We provide the systematic comparison of volatility models focusing on the asymmetric effect of news on volatility. Specifically, three diagnostic tests are provided: the sign bias test, the negative size bias test, and the positive size bias test. From the Ljung-Box test statistic for twelfth-order serial correlation for the level we do not find any significant serial correlation in the unpredictable BDI. The coefficients of skewness and kurtosis both indicate that the unpredictable BDI has a distribution which is skewed to the left and significantly flat tailed. Furthermore, the Ljung-Box test statistic for twelfth-order serial correlations in the squares strongly suggests the presence of time-varying volatility. The sign bias test, the negative size bias test, and the positive size bias test strongly indicate that large positive(negative) BDI shocks cause more volatility than small ones. This paper, also, shows that three leverage models have problems in capturing the correct impact of news on volatility and that negative shocks do not cause higher volatility than positive shocks. Specifically, the GARCH model successfully reveals the shape of the news impact curve and is a useful approach to modeling conditional heteroscedasticity of daily BDI.

Information Arrival and Stock Market Volatility Dynamics (정보(情報)의 발생(發生)과 주가(株價)의 변동성(變動性))

  • Rhee, Il-King
    • The Korean Journal of Financial Management
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    • v.16 no.2
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    • pp.285-308
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    • 1999
  • 증권의 가격형성에 유리한 뉴스와 불리한 뉴스가 도착할 때 이 뉴스가 주가의 변동성에 미치는 영향의 정도는 차이가 있다. 불리한 뉴스가 변동성에 미치는 영향도가 유리한 뉴스가 변동성에 미치는 영향도보다 크다. 따라서 불리한 뉴스가 발생할 때 형성되는 변동성의 양이 유리한 뉴스의 도착시보다 크다. 그리고 충격의 크기에 따라 이 충격이 야기하는 변동성의 양의 크기에도 차이가 존재한다. 일반 자기회귀 조건부 이분산 과정은 유리한 뉴스와 불리한 뉴스를 대칭적으로 반영하고 있다. 이 뉴스들을 비대칭적으로 포착하는 자기회귀 조건부 이분산 과정의 모형들을 실증적으로 분석하였다. 뉴스의 비대칭성과 규모를 적절히 포착하고 있는 모형들이 비선형 일반 자기회귀 조건부 이분산 과정, 지수 일반 자기회귀 조건부 이분산 과정과 정보 포착 자기회귀 조건부 이분간 과정임이 발견되었다. 이 중 비선형 일반 자기회귀 조건부 이분산 과정이 가장 좋은 모형으로 보인다. 비선형 일반 자기회귀 조건부 이분산 과정의 경우 예측오차의 승멱(power)이 약 1.5이다. 따라서 일반 자기회귀 조건부 이분산 과정의 예측오차의 승멱인 2에 비하여 작다. 이 사실은 일반 자기회귀 조건부 이분산의 예측오차의 승멱이 과도하게 측정되고 없음을 알 수 있다. 뉴스의 비대칭성과 규모를 반영하고 있는 모형들은 한결같이 예측오차의 크기에 적절한 가중치를 부여하여 예측오차의 크기를 조정하고 있다. 이 모형의 성질과 실증분석의 결과에 의하여 예측오차의 승멱은 2 이하로 수정하여 사용해야 한다는 점이 시사되고 있다. 음의 충격이 양의 충격보다 주가의 변동성을 크게 하고 없음이 발견되었다. 주가형성에 유리한 뉴스와 불리한 뉴스가 주가의 변동성에 미치는 영향의 차이와 충격의 중대성을 양으로 표시하는 규모의 차이를 반영해주는 변수들의 추정된 계수가 미국과 일본보다 절대값에 있어서 상당히 작다. 이 현상은 뉴스의 비대칭성과 규모보다는 발생하는 충격, 즉 뉴스 자체에 보다 민감하게 반응하고 있음을 보여주고 있다. 물론 투자자들이 뉴스의 비대칭성과 규모를 완전히 무시하고 투자활동을 전개하고 있다는 것을 의미하는 것은 아니다.

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An Examination on Asymmetric Volatility of Firm Size Stock Indices (기업규모 주가지수의 비대칭적 변동성에 관한 연구)

  • Lee, Minkyu;Lee, Sang Goo
    • The Journal of the Korea Contents Association
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    • v.16 no.8
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    • pp.387-394
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    • 2016
  • The volatility in the stock market responds differently to information types. That is, the asymmetric volatility exists in the stock market which responds more to unexpected negative returns due to bad news than unexpected positive returns due to good news. This paper examines the asymmetric response of the volatility of KOSPI, large-cap, middle-cap, and small-cap indices returns which is announced in Korea exchange (KRX) by using the MA-GJR model and the MA-EGARCH model. According to empirical analyses, it shows that the asymmetric response of volatility exists in all indices regardless of volatility estimation models and the degree of the asymmetric volatility response of the small-cap index returns is greater than that of the large-cap index returns. Moreover, this results also observed robustly during the period of both before and after the global financial crisis.