• International Area Studies Review
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• v.21 no.2
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• pp.3-20
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• 2017

Traditional co-integration analysis method is known to be difficult to clearly determine the relationship between the cointegrated variables. This study utilizes a fractional cointegation method and a causal analysis of time and frequency domain among the exchange rates of Korea, China and Japan. The results show that even though traditional cointegration methods did not clarify the existence of cointegration, exchange rates were fractionally cointegrated. Causal analysis of time domain and frequency domain provided somewhat different results, but the yen/dollar was useful for forecasting won/dollar and yuan/dollar. Proper use of causal analysis of frequency domain and fractional cointegration emthods may provide useful information that can not be explained from the traditional method.

• The Korean Journal of Financial Management
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• v.25 no.3
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• pp.111-130
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• 2008

This paper compares long term equilibrium relation of KOSPI 200 which is underling stock and its futures by using general method fractional cointegration instead of existing integer cointegration. Existence of integer cointegration between two price time series gives much wider information about long term equilibrium relation. These details grasp long term equilibrium relation of two price time series as well as reverting velocity to equilibrium by observing difference coefficient of error term when it renounces from equilibrium relation. The result of this study reveals existence of long term equilibrium relation between KOSPI200 and futures which follow fractional cointegration. Difference coefficient, d, of 'two price time series error term' satisfies 0 < d < 1/2 beside bandwidth parameter, m(173). It means two price time series follow stationary long memory process. This also means impulse effects to balance price of two price time series decrease gently within hyperbolic rate decay. It indicates reverting speed of error term is very low when it bolts from equilibrium. It implies to market maker, who is willing to make excess return with arbitrage trading and hedging risk using underling stock, how invest strategy should be changed. It also insinuates that information transition between KOSPI 200 Index market and futures market does not working efficiently.

• The Korean Journal of Financial Management
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• v.18 no.1
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• pp.23-41
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• 2001

본 연구에서는 여러 계량 모형을 이용하여 계산한 헤지 비율의 성과를 비교하였다. 특히 헤지 비율을 추정하기 위하여 분수 공적분 오차 수정 모형을 이용하였다. KOSPI200 현물과 선물 지수를 이용하여 검증한 결과 현물, 선물 지수는 1차 적분된 시계열이며 베이시스는 분수 적분된 시계열이었다. 따라서 현물과 선물 지수는 분수 공적분된 시계열이었다. 최소 분산 헤지 비율을 최적 헤지 비율로 하여 성과를 측정한 결과 다음과 같은 결과를 얻었다. 헤지 성과는 GARCH 항이 있는 모형이 없는 모형에 비해 크게 나타나며 각 모형에서 고려하고 있는 정보 집합의 크기가 큰 순서인 FIEC, EC, VAR, OLS 순으로 헤지 성과는 크게 나타나고 있다. 그러나 OLS 방법에 의한 헤지에 의해서도 수익률 변동의 많은 부분이 사라져, 다른 모형들은 OLS 모형과 비교하여 추가적인 분산 감소 효과는 크지 않았다.