• Title/Summary/Keyword: ARCH모형

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Nonlinear approach to modeling heteroscedasticity in transfer function analysis (시계열 전이함수분석 이분산성의 비선형 모형화)

  • 황선영;김순영;이성덕
    • The Korean Journal of Applied Statistics
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    • v.15 no.2
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    • pp.311-321
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    • 2002
  • Transfer function model(TFM) capturings conditional heteroscedastic pattern is introduced to analyze stochastic regression relationship between the two time series. Nonlinear ARCH concept is incorporated into the TFM via threshold ARCH and beta- ARCH models. Steps for statistical analysis of the proposed model are explained along the lines of the Box & Jenkins(1976, ch. 10). For illustration, dynamic analysis between KOSPI and NASDAQ is conducted from which it is seen that threshold ARCH performs the best.

Combination Prediction for Nonlinear Time Series Data with Intervention (개입 분석 모형 예측력의 비교분석)

  • 김덕기;김인규;이성덕
    • The Korean Journal of Applied Statistics
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    • v.16 no.2
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    • pp.293-303
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    • 2003
  • Under the case that we know the period and the reason of external events, we reviewed the method of model identification, parameter estimation and model diagnosis with the former papers that have been studied about the linear time series model with intervention, and compared with nonlinear time series model such as ARCH, GARCH model that it has been used widely in economic models, and also we compared with the combination prediction method that Tong(1990) introduced.

Functional ARCH (fARCH) for high-frequency time series: illustration (고빈도 시계열 분석을 위한 함수 변동성 fARCH(1) 모형 소개와 예시)

  • Yoon, J.E.;Kim, Jong-Min;Hwang, S.Y.
    • The Korean Journal of Applied Statistics
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    • v.30 no.6
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    • pp.983-991
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    • 2017
  • High frequency time series are now prevalent in financial data. However, models need to be further developed to suit high frequency time series that account for intraday volatilities since traditional volatility models such as ARCH and GARCH are concerned only with daily volatilities. Due to $H{\ddot{o}}rmann$ et al. (2013), functional ARCH abbreviated as fARCH is proposed to analyze intraday volatilities based on high frequency time series. This article introduces fARCH to readers that illustrate intraday volatility configuration on the KOSPI and the Hyundai motor company based on the data with one minute high frequency.

Functional ARCH analysis for a choice of time interval in intraday return via multivariate volatility (함수형 ARCH 분석 및 다변량 변동성을 통한 일중 로그 수익률 시간 간격 선택)

  • Kim, D.H.;Yoon, J.E.;Hwang, S.Y.
    • The Korean Journal of Applied Statistics
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    • v.33 no.3
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    • pp.297-308
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    • 2020
  • We focus on the functional autoregressive conditional heteroscedasticity (fARCH) modelling to analyze intraday volatilities based on high frequency financial time series. Multivariate volatility models are investigated to approximate fARCH(1). A formula of multi-step ahead volatilities for fARCH(1) model is derived. As an application, in implementing fARCH(1), a choice of appropriate time interval for the intraday return is discussed. High frequency KOSPI data analysis is conducted to illustrate the main contributions of the article.

Hedge Effectiveness in Won-Dollar Futures Markets (원 달러 선물시장을 이용한 헤지효과성)

  • Hong, Chung-Hyo;Moon, Gyu-Hyun
    • The Korean Journal of Financial Management
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    • v.21 no.1
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    • pp.231-253
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    • 2004
  • We examine hedge strategies that use Won-dollar futures to hedge the price risk of the Won-dollar exchange rate. We employ the naive hedge model, minimum variance hedge model and bivariate ECT-ARCH(1) model as hedge instruments, and analyze their hedge performances. The sample period covers from January 2, 2001 to December 31, 2002 with sub-samples such as daily, weekly, bi-weekly prices of the Won-dollar futures and cash. The important findings may be summarized as follows. First, there is no significant difference in hedge ratio between the risk minimum variance model and bivariate ECT-ARCH(1) model that controls for the cointegration relationship of the Won-dollar futures and cash. Second, hedge performance of the naive model and minimum variance model with constant hedge ratios is not far behind that of bivariate ECT-ARCH(1) model with time-varying hedge ratios. This results imply that investors are encouraged to use the minimum variance hedge model to hedge Won-dollar exchange rate with Won-dollar futures. Third, hedge performance and effectiveness of each model is also analyzed with respect to hedge period appear to be greater over long than over the short period. This evidence supports the hypothesis that futures prices would have more time to respond to the greater cash price changes over the longer holding period, leading to an improved hedge performance.

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Behavior of 2 Arch Tunnel in Sand (사질토지반에서 2 Arch 터널의 거동)

  • Lee, Sang-Duk;Cheon, Eun-Sook
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.6 no.2
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    • pp.171-182
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    • 2004
  • This study is focused on finding out the mechanical behavior of pillars and the ground adjacent to the tunnel depending on the central tunnel size and the invert during the construction of 2 arch tunnels in the sandy ground. Model tests were performed in the trap door system, which was composed of 3 separately movable plates. Central pillar was installed on the central movable plate to measure the pillar loads during the excavation of pilot tunnel and the main tunnel. The load-transfer and the loosening load were measured at the bottom plates adjacent to the 2 arch tunnels. The ground settlement and displacement of the tunnel lining were also measured. As results, not only pillar load but also the load transfer mechanism was influenced by the construction sequences, central tunnel size, and the invert.

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Prediction Intervals for Nonlinear Time Series Models Using the Bootstrap Method (붓스트랩을 이용한 비선형 시계열 모형의 예측구간)

  • 이성덕;김주성
    • The Korean Journal of Applied Statistics
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    • v.17 no.2
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    • pp.219-228
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    • 2004
  • In this paper we construct prediction intervals for nonlinear time series models using the bootstrap. We compare these prediction intervals to traditional asymptotic prediction intervals using quasi-score estimation function and M-quasi-score estimating function comprising bounded functions. Simulation results show that the bootstrap method leads to improved accuracy. The accuracy of the bootstrap is empirically demonstrated with the consumer price index.

Behavior of shallow 2-Arch tunnel due to excavation under horizontal discontinuity plane (수평 불연속변 하부에 굴착한 얄은 심도의 2-Arch 터널의 거동)

  • Cheon, Eun-Sook;Kim, Hong-Moon;Lee, Sang-Duk
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.7 no.3
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    • pp.227-237
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    • 2005
  • In this study, the behavior of shallow 2-Arch tunnel due to excavation under horizontal discontinuity plane was verified experimentally. The model tests were carried out by varying the overburden height and the location of the discontinuity plane. The model tests followed exactly the real 2-Arch tunnel construction stages. As a result, it is discovered that stress-transfer mechanism and loosening area around the 2-Arch tunnel depends on the overburden heights and the location of the discontinuity plane. And central pillar load is also dependent on overburden height, location of discontinuity plane and construction stages.

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Pillar load and ground deformation in 2-arch tunnel in the jointed rock mass (절리암반에서 2-Arch 터널의 필라하중과 지반변위)

  • Lee, Sang-Duk
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.9 no.1
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    • pp.91-97
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    • 2007
  • Loads on the pillar and ground deformation in 2-arch tunnel, which is excavated in the rock mass with regular discontinuities, depending on the dips of discontinuities and the construction sequences were experimentally studied. Large scale model tests in the biaxial test facility were performed. Tested model (width 3.3m, height 3.0m, and length 0.45m) for 2-arch tunnel in 1/10 scale were built with various dips. Test results show that discontinuities have greate affects on the behavior of the 2-arch tunnel, especially on the pillar loads and ground deformation.

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주식수익률(株式收益率) 분산(分散)의 시간(時間) 변동성(變動性)에 관한 연구(硏究)

  • Sin, Jae-Jeong;Jeong, Beom-Seok
    • The Korean Journal of Financial Management
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    • v.10 no.2
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    • pp.263-301
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    • 1993
  • 최근의 연구결과에 의하면 분산이 시간에 따라 변화하여 이분산적(異分散的)이며, 시계열상관(時系列相關)이 존재하는 것으로 나타나고 있다. 일정(一定)한 분산을 가정하여 주식수익률(株式收益率)의 움직임을 설명하는 기존의 모형들은 주식수익률(株式收益率)을 예측하는데 편의(偏倚)(bias)를 가지게 되며, 또한 투자자(投資者)들에게 정확한 위험측정(危險測定)의 수단을 제공하지 못하고 있다. 따라서 본 연구는 우리나라 주식수익률(株式收益率)의 분산이 시간에 따라 변화하는지를 살펴보기 위해 종합주가지수(綜合株價指數) 및 규모별(規模別) 지수(指數)를 사용하여 ARCH 및 GARCH 모형을 추정하였다. 또한 기대수익률(期待收益率)과 조건부(條件附) 분산(分散)사이의 다기간(多期間)(intertemporal) 관계를 ARCH-M 및 GARCH-M 모형을 사용하여 추정하였다. 추정결과는 우리나라 주식시장에도 유의적인 ARCH 및 GARCH 효과, 즉 주식수익률이 매우 이분산적(異分散的)인 것으로 나타났다. 그리고 기대수익률(期待收益率)과 조건부(條件附) 분산(分散)사이의 관계에서 ARCH-M 모형과 GARCH-M 모형의 추정결과가 다르게 나타났으나 전체적으로 유의하지 않는 것으로 나타났다. 이러한 본 연구결과로 조건부(條件附) 분산모형(分散模型)을 통하여 기대수익률(期待收益率) 및 분산(分散)의 움직임을 더욱 잘 파악할 수 있을 것으로 생각되며, 따라서 주식수익률(株式收益率) 및 분산(分散)의 예측에 더 좋은 도구로 활용될 수 있을 것으로 생각된다.

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