Amylin Pharmaceuticals, Inc. Historical Volatility
This chart shows Volatility for Amylin Pharmaceuticals, Inc., defined to be the price range as a portion of the average price:|
So, to derive the Daily Volatility on 2/11/2011 of 1.6%, the price range for the day (0.26) was divided by the average price (15.37). 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.
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 AMLN has been 6% in contrast to the Average Quarterly Volatility of 56%.
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. 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. |
A frequency distribution of the green points on the first chart (the daily volatility) yields this histogram. |
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. |
For Subscribers: Refined Analysis of Amylin Pharmaceuticals, Inc. Volatility and Risk Behavior
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