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This presentation delves into an investigation of jumps in the Media/Telecom industry focusing on Verizon Communications (VZ), AT&T Inc. (T), and Walt Disney Inc. (DIS). The data spans from 1/2/2001 to 12/29/2006, with a 5-minute interval and over 100K observations. Qualitative findings link jump clusters to industry events and macroeconomic shocks. Mathematical analyses include Realized Variation, Bipower Variation, Tri-Power Quarticity, and more. Case examples of VZ, DIS, and T showcase various jumps and their implications. Further exploration involves analyzing price-return correlations, forecasting, and investigating the effect of acquisitions on firms and the industry.
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Jump Detection and AnalysisInvestigation of Media/Telecomm Industry Prad Nadakuduty Presentation 2 2/20/08
Introduction • Investigate Media/Telecomm Industry • Verizon Telecommunications (VZ) • AT&T Inc. (T) • Walt Disney Inc. (DIS) • Data taken from 1/2/2001 to 12/29/2006 • 5 min interval (78 observations per day) • Over ~100K total observations • Qualitative findings linking clusters of jumps to industry events / macroeconomic shocks
Mathematical Background • Realized Variation (IV with jump contribution) • Bipower Variation (robust to jumps)
Mathematical Background • Tri-Power Quarticity • Z Tri-Power Max Statistic • Significance Value .999 z > 3.09
Mathematical Background • Previous equations used to estimate integrated quarticity • Relative Jump (measure of jump contribution to total price variance)
Verizon Communications (VZ)5 min Price Data High: 57.40 • 7/19/2001 Low: 26.16 • 7/24/2002
Verizon Communications (VZ)Z-tp Max Statistic Max: 7.3393 • 8/24/2004 Explanation? • Won civil case against text message spammer • Acquisition of MCI 6 months later
Walt Disney Inc. (DIS)5 min Price Data High: 34.88 • 12/19/2006 Low: 13.15 • 8/8/2002
Walt Disney Inc. (DIS)Z-tp Max Statistic Max: 5.4364 • 5/11/2005 Explanation? • Launch of 50 year celebration at theme parks • Released positive earning statements from film/DVD earnings
AT&T (T)5 min Price Data High: 43.95 • 7/12/2001 Low: 13.50 • 4/16/2003
AT&T (T)Z-tp Max Statistic Max: 7.6598 • 9/23/2003 Explanation? • Rumors of merger with BellSouth • Acquires assets from MCI-WorldCom bankruptcy
Summary Statistics Tri-power Quarticity and Max Statistic Significance Level .999 z = 3.09
Further Exploration • Analyze correlation of prices and returns • Within industry • With S&P 500 • Determine HAR-RV-CJ Forecasts • Investigate effect of acquisitions within firms and across industry • Correlation between (relative) size of acquisition and size/frequency of nearby jumps?