신흥주식시장에서의 변동성반응가설 검정
A Test on the Volatility Feedback Hypothesis in the Emerging Stock Market
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초록
주식시장에서의 수익률과 변동성 간의 역의 상관관계에 대하여는 이미 1980년대 이후부터 선진국 주식시장을 통해 많이 분석되어 왔다. 이는 예기치 않은 수익률의 음(-) 또는 양(+)의 충격이 변동성에 비대칭적으로 영향을 미치고 특히 음(-)의 충격 국면에서 변동성이 급격히 증가되어 과잉반응이 형성된다는 것으로 귀결된다. 그런데 이렇게 증가된 변동성이 거꾸로 수익률에 지속적인 음(-)의 영향력을 나타낸다고 하는 변동성 반응가설(Volatility Feedback Hypothesis)에 대하여는 아직까지 학계에서 일치된 검정결과를 보이지 못하고 있는 실정이다. 본 연구에서는 이제까지 총체적인 연구가 되지 못하였던 14개 신흥국 주식시장을 대상으로 이러한 변동성반응가설 즉, 변동성의 수익률에 대한 지속적인 음(-)의 영향력 효과가 발견되는지에 대하여 세계공통의 위험요인(Global Risk Factors)과 개별국가 고유의 위험요인(Country-specific Risk Factors)으로 설명변수를 구분한 GJR-GARCH in Mean 모형을 사용하여 심층적인 검정을 시도하였다. 그 결과 신흥국 주식시장에서는 개별국가 고유의 위험요인보다는 세계공통의 위험요인이 보다 중요한 체계적인 설명요인으로 작용한다는 것이 입증되었고 나아가 이러한 위험요인들을 통제한 이후의 시변적 변동성도 수익률에 지속적으로 음(-)의 영향력을 미친다는 변동성 반응가설이 대상 14개국 중 12개국에서 지지되는 것으로 밝혀졌다. 즉, 신흥주식시장의 수익률 하락충격에서 형성된 변동성 증가는 투자자들의 위험 프리미엄 증가로 연결되고 이후 지속적인 수익률 하락압력으로 작용한다는 것이 입증되었다.
Abstract
This study examined on the volatility feedback hypothesis through the use of threshold GARCH-in-Mean (GJR-GARCH-M) model developed by Glosten, Jaganathan, and Runkle (1993) in the stock markets of 14 emerging countries during the period of January, 1996 to May, 2009. On this study, I found successful evidences which can support the volatility feedback hypothesis through the following three estimation procedures. First, I found relatively strong positive relationship between the expected market risk premiums and their conditional standard deviations from the GARCH-M model in the basis of daily return on each representative stock market index, which is appropriate to investors’risk-averse preferences. Second, I can also identify the significant asymmetric time-varying volatility originated from the investors’ differentiated reactions toward the unexpected market shocks by applying the GJR-GARCH-M model and further find the lasting positive risk aversion coefficient estimators. Third, I derived the negative signs of the regression coefficient of unpredicted volatility on the stock market return by re-applying the GJR-GARCH-M model after I controlled the positive effect of predicted volatility through including the conditional standard deviations from the previous GARCH-M model estimation as an independent explanatory variable in the re-applied new GJR-GARCH-M model. With these consecutive results, the volatility feedback effect was successfully tested to be effective also in the various emerging stock markets, although the leverage hypothesis turned out to be insufficient to be applied to another source of explaining the negative relationship between the unexpected volatility and the ex-post stock market return in the emerging countries in general.
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