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An Empirical Study on the Statistics Properties of Time Dependency using High-Frequency Data of KOSPI and KOSPI200 Futures

  • Cheoljun Eom Pusan National University, Pusan, Korea
  • Daesung Jung Pusan National University, Pusan, Korea
  • Seunghwan Kim Pohang University of Science and Technology, Pohang, Korea
º» ¿¬±¸ÀÇ ¸ñÀûÀº Çѱ¹ ±ÝÀ¶½ÃÀåÀÇ °íºóµµ ÀڷḦ ÀÌ¿ëÇÑ ½Ã°è¿­ ¼Ó¼º ¿¬±¸ÀÇ ÀÏȯÀ¸·Î °Ë Áõ°á°ú¿¡ ¿µÇâÀ» ¹ÌÄ¥ ¼ö ÀÖ´Â ¼öÀÍ·ü ÃøÁ¤±â°£´ÜÀ§¿¡ µû¸¥ Åë°èÀû ¼Ó¼ºÀÇ º¯È­¸¦ °üÂûÇÏ¿´´Ù. °ËÁõ ´ë»óÀº Çѱ¹ ±ÝÀ¶ ½ÃÀåÀ» ´ëÇ¥ÇÏ´Â KOSPI¿Í KOSPI200 ¼±¹°Áö¼ö¸¦ »ç¿ëÇÏ¿´À¸¸ç, µ¿ÀÏÇÑ °ËÁõ±â°£ 2000³â 5¿ù 22ÀϺÎÅÍ 2008³â 4¿ù 30ÀÏÀ» ¼³Á¤ÇÑ ÈÄ, ¼öÀÍ·ü ÃøÁ¤±â°£´ÜÀ§¸¦ º¯È­¿¡ µû¸¥ ºÐÆ÷ÀÇ Åë°èÀû ¼Ó¼º¿¡ ´ëÇÑ ºÐ¼®À» ½Ç½ÃÇÏ¿´´Ù. °ËÁõ °á°ú¸¦ »ìÆ캸¸é, ù°, ¼öÀÍ·ü ÃøÁ¤±â°£´ÜÀ§ ¸¦ Áõ°¡½ÃÅ´¿¡ µû¶ó¼­ ¼öÀÍ·ü ºÐÆ÷ÀÇ Á߽ɺκÐÀ» ³ªÅ¸³»´Â ÷µµ´Â Áö¼öÀûÀÎ °¨¼Ò¸¦ º¸¿´À¸¸ç, ¼ö ÀÍ·üÀÌ 0ÀÎ ÁöÁ¡ÀÇ È®·üÀº Á¡Â÷ Á¤±ÔºÐÆ÷¿Í °¡±î¿öÁ³´Ù. µÑ°, ºÐÆ÷ÀÇ ²¿¸® ºÎºÐÀÇ °á°ú¸¦ »ìÆ캸 ¸é, ºÐÆ÷ÀÇ ²¿¸®´Â Levy ¿µ¿ª°ú Á¤±Ô¿µ¿ª¿¡¼­ ¹þ¾î³µ´Ù. ¼öÀÍ·ü ÃøÁ¤±â°£´ÜÀ§°¡ Áõ°¡½ÃÅ´¿¡ µû¶ó ¼­ ºÐÆ÷ÀÇ ²¿¸®´Â Á¡Á¡ ¾ã¾ÆÁüÀ» º¸¿´´Ù. ¼Â°, ¼öÀÍ·ü°ú º¯µ¿¼ºÀÇ ÀÚ±â»ó°ü°ü°èÀÇ °ËÁõ°á°ú¿¡¼­µµ ¼öÀÍ·ü ÃøÁ¤±â°£´ÜÀ§ÀÇ º¯È­¿¡ Á¾¼ÓÀûÀÎ ±¸Á¶¸¦ °¡ÁüÀ» È®ÀÎÇÏ¿´´Ù. °á°ú¸¦ Á¤¸®Çغ¸¸é, ¿¬±¸ÀÚÀÇ ÇÊ¿ä¿¡ ÀÇÇؼ­ °áÁ¤µÇ¾îÁö´Â ¼öÀÍ·ü ÃøÁ¤±â°£´ÜÀ§´Â °ËÁõ°á°ú¿¡ À¯ ÀÇÀûÀÎ ¿µÇâÀ» Áشٴ °ÍÀ» ½ÇÁõÀûÀ¸·Î È®ÀÎÇÏ¿´´Ù. ÀÌ·¯ÇÑ ±ÝÀ¶½Ã°è¿­ÀÚ·áÀÇ Åë°èÀû ¼ºÁúº¯È­´Â ¼öÀÍ·üÀÇ ½Ã°£Á¾¼ÓÀûÀÎ ±¸Á¶¿¡ ±âÀÎÇÑ °ÍÀ¸·Î ½Ã°£¼Ó¼ºÀÇ ¿µÇâ¿ä¼Ò¿¡ ´ëÇÑ ¿¬±¸ÀÇ Çʿ伺À» ½Ã»ç ÇÑ´Ù.
È®·ü¹ÐµµÇÔ¼ö,´©Àû¹ÐµµÇÔ¼ö,ÀÚ±â»ó°üÇÔ¼ö,º¯µ¿¼º±º ÁýÇö»ó

KOSPI¿Í KOSPI200 ¼±¹°Áö¼öÀÇ °íºóµµ ÀڷḦ ÀÌ¿ëÇÑ ½Ã°£ÀÇÁ¸¼ºÀÇ Åë°èÀû ¼Ó¼º ¿¬±¸

  • Cheoljun Eom
  • Daesung Jung
  • Seunghwan Kim
We investigate the scaling behavior of the Korean financial market, this study examines the statistical properties of KOSPI and KOSPI200 Futures using methods including probability density function, cumulative distribution function, autocorrelation function, and conditional probability across time scales. This study confirms a few time dependent features of financial market: (1) the center part of the return distribution aggregating to that of Gaussian distribution, (2) the tail parts deviating from the Gaussian and the Levy distribution, (3) a short range correlation for returns and a long range correlation for absolute returns, and (4) volatility clustering.
Scaling behaviors,Probability distribution function,Cumulative distribution function,Autocorrelation function,Volatility clustering,Scaling behaviors