함수적 회귀 모형을 이용한 한국과 미국 주식시장의 횡단면 분포 간의 관계 분석
Distributional Relationship between the Korean and the U.S. Stock Markets Analyzed by a Functional Regression Approach
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본 논문은 한국의 KOSPI 지수와 미국의 S&P500 지수를 구성하는 전체 개별 주가 수익률들의 횡단면 분포를 분석의 대상으로 삼고, 함수적 회귀(functional regression)모형을 이용하여 두 주식시장 간의 관계를 분석한다. 일별(daily) 자료를 다루며 전체 2005년 1월부터 2013년 12월까지의 기간을 글로벌 금융위기기간과 금융위기 전후의 기간들로 나누어 살펴보고 있다. 한국 주식시장 횡단면분포의 평균, 분산 및 양쪽 꼬리확률들이 미국 주식시장 횡단면 분포의 변화에 어떻게 영향을 받는지를 반응함수(response function)를 통해 살펴보고, 각 평균, 분산 및 양쪽 꼬리확률들의 변동이 미국 주식시장 횡단면 분포의 적률(moment) 들의 분산에 의해 얼마나 설명되는지를 분산분해(variance decomposition)를 통해 분석한다. 미국 주식시장 횡단면 분포로부터 한국 주식시장 횡단면 분포의 평균, 분산 및 왼쪽 꼬리확률로의 전이효과는 금융위기 기간에 가장 높아지고 이후줄어들었으나 금융위기 이전보다는 훨씬 높은 것으로 나타났다. 반면 한국 주식시장 분포의 오른쪽 꼬리확률로의 전이효과는 금융위기 이후의 기간에 더 높아진것으로 나타났다.
Abstract
This paper investigates spillover effects from the U.S. stock market to the Korean stock market by considering a functional regression model. Instead of using stock market indices, we consider cross-sectional distributions of all stock returns that comprise the KOSPI index and the S&P 500 index. We use daily data from January 2005 to December 2013 and consider three subsamples: pre-crisis, crisis and post-crisis period. We estimate a functional regression model and adopt novel econometric tools recently proposed by Hu et al. (2016) to analyze the relationship between cross-sectional distributions of two stock markets. We use response functions to examine how each moment and tail probability of the Korean stock market distribution react to shocks in the US stock market distribution. We also conduct variance decomposition and provide interpretations on spillover effect from the U.S. stock market to the Korean stock market. The spillover effects to mean, variance and left tail probability were higher in the post-crisis period than in the pre-crisis period and were the highest during the crisis period. On the contrary, the spillover effect to right tail probability was the highest in the post-crisis period.
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