1 EXPLANATORY NOTES Aggegate Volatility and Liquidity Measure Aggregate volatility of NYSE listed stocks refer to the extent to which stock prices change on a day-to-day basis. Aggregate monthly price volatility is reflected in a dispersion measure of day-to-day percent change in the Standard and Poor's Composite Index; the S & P 500 was chosen because of its breadth and historical coverage enabling a review of volatility back to 1928. The day-to-day percent changes for any interval when ranked from low to high are divided into four “equal" groups by the First, Second and Third quartiles. The difference between the Third and First quartiles, a widely used measure of dispersion and always a positive number, is the interquartile range. The interquartile range-which is the measure of volatility--is not sensitive to the magnitude of monthly extremes but will indicate shifts in the frequency or relative number of large day-to-day changes. These attributes filter out the impact of short-term shocks and enable identification of months characterized by relatively high price volatility. A more detailed description of the statistical approaches used by the SEC staff in developing this measure of NYSE volatility is available from Raymond Marcotte of the SEC's Directorate of Economic and Policy Research in a staff paper entitled Analysis of the Impact of Competitive Commission Rates on Aggregate Price Volatility of NYSE Stock. Aggregate liquidity refers to the responsiveness of stock price changes to transaction demand. If the stock price movements are highly insensitive to volume traded, then the market is considered liquid. Conversely if stock price changes are highly responsive to volume traded, then the market is considered illiquid. The liquidity index is computed by comparing daily price changes for Standard and Poor's Composite Index to the daily turnover of NYSE shares outstanding. For every trading day during the month the natural logarithm of the price relative is computed. Then the daily turnover rate is computed--the ratio of share volume to shares outstanding. Finally, the square of the log price relative is divided by the turnover rate, and this quantity averaged over the entire month. This average, recorded on an inverted logarithmic scale, is the monthly estimate of liquidity. A detailed description of the statistical model which yields these estimates of liquidity is available from Peter Martin of the Securities and Exchange Commission, Directorate of Economic and Policy Research in a staff paper entitled Analysis of the Impact of Competi EXPLANATORY NOTES Aggegate Volatility and Liquidity Measure Aggregate volatility of NYSE listed stocks refer to the extent to which stock prices change on a day-to-day basis. Aggregate monthly price volatility is reflected in a dispersion measure of day-to-day percent change in the Standard and Poor's Composite Index; the S & P 500 was chosen because of its breadth and historical coverage enabling a review of volatility back to 1928. The day-to-day percent changes for any interval when ranked from low to high are divided into four “equal" groups by the First, Second and Third quartiles. The difference between the Third and First quartiles, a widely used measure of dispersion and always a positive number, is the interquartile range. The interquartile range-which is the measure of volatility--is not sensitive to the magnitude of monthly extremes but will indicate shifts in the frequency or relative number of large day-to-day changes. These attributes filter out the impact of short-term shocks and enable identification of months characterized by relatively high price volatility. A more detailed description of the statistical approaches used by the SEC staff in developing this measure of NYSE volatility is available from Raymond Marcotte of the SEC's Directorate of Economic and Policy Research in a staff paper entitled Analysis of the Impact of Competitive Commission Rates on Aggregate Price Volatility of NYSE Stock. Aggregate liquidity refers to the responsiveness of stock price changes to transaction demand. If the stock price movements are highly insensitive to volume traded, then the market is considered liquid. Conversely if stock price changes are highly responsive to volume traded, then the market is considered illiquid. The liquidity index is computed by comparing daily price changes for Standard and Poor's Composite Index to the daily turnover of NYSE shares outstanding. For every trading day during the month the natural logarithm of the price relative is computed. Then the daily turnover rate is computed--the ratio of share volume to shares outstanding. Finally, the square of the log price relative is divided by the turnover rate, and this quantity averaged over the entire month. This average, recorded on an inverted logarithmic scale, is the monthly estimate of liquidity. A detailed description of the statistical model which yields these estimates of liquidity is available from Peter Martin of the Securities and Exchange Commission, Directorate of Economic and Policy Research in a staff paper entitled Analysis of the Impact of Competi |