Correlation and covariance of the returns of the US stock market index and the Korean stock market index
| S&P 500 | KOSPI_CO | KOSPI_OC | KOSPI | ||
|---|---|---|---|---|---|
| A. Correlation coefficient | |||||
| S&P 500 | 1.000 | 0.733 | −0.163 | 0.356 | |
| KOSPI_CO | 1.000 | −0.057 | 0.615 | ||
| KOSPI_OC | 1.000 | 0.752 | |||
| KOSPI | 1.000 | ||||
| B. Annualized decentralized covariance | |||||
| S&P 500 (%) | 3.559 | 1.981 | −0.525 | 1.456 | |
| KOSPI_CO (%) | 2.052 | −0.140 | 1.911 | ||
| KOSPI_OC (%) | 2.930 | 2.790 | |||
| KOSPI (%) | 4.701 | ||||
| S&P 500 | KOSPI_CO | KOSPI_OC | KOSPI | ||
|---|---|---|---|---|---|
| S&P 500 | 1.000 | 0.733 | −0.163 | 0.356 | |
| KOSPI_CO | 1.000 | −0.057 | 0.615 | ||
| KOSPI_OC | 1.000 | 0.752 | |||
| KOSPI | 1.000 | ||||
| S&P 500 (%) | 3.559 | 1.981 | −0.525 | 1.456 | |
| KOSPI_CO (%) | 2.052 | −0.140 | 1.911 | ||
| KOSPI_OC (%) | 2.930 | 2.790 | |||
| KOSPI (%) | 4.701 | ||||
Note:
The correlation and covariance of the daily log return of the S&P 500 index for the previous day and the daily log return of the KOSPI index for the same day are calculated excluding holidays from January 2019 to November 2019. KOSPI_CO is the log return of the KOSPI index from the closing price of the previous day to the opening price of the preceding day, while KOSPI_OC is the log return of the KOSPI index from the opening price to the closing price on the same day. KOSPI is the sum of KOSPI_CO and KOSPI_OC. The covariance is annualized by multiplying 252 to the covariance of daily return
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