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Volatility is defined as the price range for a period, divided by the average price for the period: For instance, on 2/2/2011 the average price was 35.8 with a range of 0.98, indicating a Daily Volatility of 2.7%. The Daily Volatility is obtained by dividing the daily range by the daily average. A longer Volatility period such as Weekly Volatility is obtained by dividing the weekly price range by the weekly mean price. This is a different concept from the weekly average of daily volatility. The red plot shows the actual price. The remaining marks on the plot correspond to the Volatility measured across several time intervals. Investors often make a distinction between the concept of Volatility, and the concept of Risk. Academics define them to be exactly equivalent, but as can be seen here, there is good reason to distinguish between the levels of volatility or risk experienced across different time frames. Average Daily Volatility over the history of ABC has been 3% in contrast to the Average Quarterly Volatility of 27%. |
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If you have ever seen a "yield curve" you should be able to understand the concept behind this "yield curve". These Volatility Curves each apply to a discrete time interval. From left to right, each position plots the Volatility associated with increasing intervals of time. The relationship between the length of time, and the expected change in price, is not linear, as is demonstrated by this chart. |
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A frequency distribution of the green points on the first chart (the daily volatility) yields this histogram. |
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In a similar vein, the Frequency Distribution of the Quarterly Volatility is plotted here. This is the distribution of the values plotted in purple on the top chart from this page. |
Refined Volatility Risk Analysis for ABC : |
| In the news, Friday, February 18, 2011: An unfavorable condition has developed with Aetna Inc., ticker symbol AET. Also, there are breaking events concerning Dollar Tree, Inc. (DLTR) and First Niagara Financial Group Inc. (FNFG) |