Testing the Continuous Semimartingale Hypothesis for the S&P 500

Authors
Publication date 2006
Journal Journal of Business & Economic Statistics
Volume | Issue number 24 | 4
Pages (from-to) 444-454
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract Abstract:
Large amounts of intraday data of the S&P 500 stock index futures are used to test the hypothesis that the log-return process, corrected for drift, is a continuous martingale. We use the time change for martingales theorem to rephrase the hypothesis and test whether the return process, corrected for drift, is a time-changed Brownian motion. This hypothesis cannot be rejected.

Keywords: CONTINUOUS SEMIMARTINGALES; FINANCIAL TIME; S AND P 500 STOCK INDEX FUTURE; TIME-CHANGED BROWNIAN MOTION
Document type Article
Published at https://doi.org/10.1198/073500106000000341
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