The Distribution of Common Stock Price Changes: An Application of Transactions Time and Subordinated Stochastic Models

Abstract

The empirical distributions of price changes for speculative assets (e.g., common stocks, bonds, etc.) measured over calendar time yield a higher frequency of observations near the mean and at the tails than would be expected for a normal distribution. The sample kurtosis is almost always greater than 3—the value expected for a normal distribution—and the distributions are commonly characterized as fat-tailed and peaked (i.e., leptokurtic).