Chapter II: Understanding Price Volatility behaviour is essential to assessing the risk associated with positions across different time spans. |
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Volatility is defined as the price range for a period, divided by the average price for the period: So, to derive the Daily Volatility on 12/28/2010 of 1%, the price range for the day (0.30) was divided by the average price (27.62). 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. It is important to avoid confusing this with the weekly average of the daily volatility, which is a completely different concept. The red plot shows the actual price. Volatility, as measured through various intervals, ( Daily, Weekly, Monthly and Quarterly) is plotted according to color. According to academic theory, Volatility is exactly equal to Risk. But investors often make a distinction between these two concepts. The different character of Volatility as seen in different time frames, lends some support to the investor's view. Average Daily Volatility over the history of MS has been 3% in contrast to the Average Quarterly Volatility of 30%. |
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You may be familiar with the "yield curve" which shows how interest bearing yields vary according to term. Each Volatility Curve is a snapshot in time. As the timespan across which Volatility is measured increases, the Volatility is expected to increase. 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 MS : |
| 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) |