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278 •   TheIntelligentOptionInvestor
Given what you know about the BSM, does this seem like the kind of
situation conducive to accurate option pricing? This example certainly does
not sound like the pricing scenario of a short-term agricultural commodity,
after all. If this hypothetical drug companys stock price was sitting at $50 per
share, what is the value of the upper range the option market might be
pricing in? Lets assume that this stock is trading with a forward volatility of
100 percent per year (on the day I am writing this, there are only four stocks
with options trading at a price that implies a forward volatility of greater than
100 percent). What price range does this 100 percent per year volatility imply,
and can we design an option structure that would allow us to profit from a big
move in either direction? Here is a diagram of this situation:
5/18/2012
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500
50
100
150
200
250
300
350
400
450
5/20/2013 249 499
Date/Day Count
Advanced Biotechnology Co. (ABC)
Stock Price
749 999
GREEN
GREEN
Indeed, even boosting volatility assumptions to a very high level,
it seems that we can still afford to gain exposure to both the upside and
downside of this stock at a very reasonable price. Y ou can see from the pre-
ceding diagram that both regions of exposure on the put side and the call
side are outside the BSM cone, meaning that they will be relatively cheap.
The options market is trying to boost the price of the options enough so
that the calls and puts are fairly priced, but for various reasons (including
behavioral biases), most of the time it fails miserably.