Information Loss in Volatility Measurement with Flat Price Trading
28 Pages Posted: 2 Jan 2007
Date Written: January 2007
A model of price determination is proposed that incorporates flat trading features into an efficient price process. The model involves the superposition of a Brownian semimartingale process for the efficient price and a Bernoulli process that determines the extent of flat price trading. A limit theory for the conventional realized volatility (RV) measure of integrated volatility is developed. The results show that RV is still consistent but has an inflated asymptotic variance that depends on the probability of flat trading. Estimated quarticity is similarly affected, so that both the feasible central limit theorem and the inferential framework suggested in Barndorff-Nielson and Shephard (2002) remain valid under flat price trading.
Keywords: Bernoulli process, Brownian semimartingale, Flat trading, Quarticity function, Realized volatility
JEL Classification: C15, G12
Suggested Citation: Suggested Citation