I tried some analysis on S&P vs Apple, Google, IBM as well as Caterpillar, Starbucks and Walmart to see how returns, volatilities and Beta's behave, using lead-times from 1-day up to 1200 banking-days (approx. 5 years).
A prelim hypotheses may be that the intervalling effect is due to a wrong skaling assumption rg. returns and volatilities.
Gerd
Pls ref to "Converting 1-Day Volatility to h-Day Volatility: Scaling by is Worse than You Think" Francis X. Diebold, 1996