Chapter II: This survey looks at historical volatility of The Progressive Corporation prices. The risks associated with long and short term positions can be evaluated according to projected shapes of the Volatility Curve. |
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This chart shows Volatility for The Progressive Corporation, defined to be the price range as a portion of the average price: So, to derive the Daily Volatility on 1/20/2011 of 2.4%, the price range for the day (0.49) was divided by the average price (19.76). Daily Volatility (the daily range as a portion of the daily average price) is plotted in green. Blue is Weekly Volatility, which is the weekly range as a portion of the weekly average 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. 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 PGR has been 2% in contrast to the Average Quarterly Volatility of 23%. |
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You may be familiar with the "yield curve" which shows how interest bearing yields vary according to term. These Volatility Curves each apply to a discrete time interval. 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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This histogram is a frequency distribution of Daily Volatility, corresponding to the green points on the first chart on this page. |
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Similarly, the purple points on the top chart, the Quarterly Volatility Values, are subjected to frequency distribution here. |
Refined Volatility Risk Analysis for PGR : |
| 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) |