Volatility
is the property of a stock that describes its tendency to undergo price
changes. More volatile stocks undergo larger or more frequent price
changes.
Outside the options world, volatility is described by the term beta,
which
is a measure of the relative volatility of a specific
stock, when compared with the volatility of a large group of stocks
(often the Standard & Poor's 500 Index). A beta of 1.0 means the
stock has the same volatility as "the market" as a whole. Stocks with
beta values less than 1.0 are less volatile than the market, while
stocks with beta values greater than 1.0 are more volatile. Beta is
useful because it allows an investor to estimate the price movement of
his/her stock, compared with the overall market.
When we deal with stock options, we must know the volatility of the
stock as a stand alone item. Comparing its volatility to that of other
stocks is of no use in determining how its options should be priced.
Why? Because it's important to calculate the chances that the stock
will move beyond any given strike strike price before the options
expire. When measuring volatility of a specific stock, a statistical
analysis is made using daily price changes. This volatility measurement
is unrelated to beta, except that stocks with higher beta values have
higher volatility.
In the options world, volatility is measured as a percentage, and price
changes are measured from one day’s closing price to the next. To put
it into familiar terms, when a stock is described as having a
volatility of 30 (Volatility = 0.30), it means the stock moves (either
up or down) by 30% or less, approximately 2 years out of every 3. A
move twice that size (60% in this example) occurs about once every 20
years.
Volatility
is of
interest to option traders because it's a vital factor in determining
the market price of options. Option buyers make money when stocks
undergo significant
price changes (if the change is in the correct direction). Because
volatile stocks are much more likely to undergo large price changes,
option buyers pay a much higher premium for options of volatile stocks.
As a result, the options of similarly priced stocks often have vastly
different premiums.
As
an example, let's look at a stock priced at 50.
Consider a 6-month call option with a strike price of 50:
If
the implied volatility is 90, the option price is $1250
If
the implied volatility is 50, the option price is $725
If
the implied volatility is 30, the option price is $450
The
implied volatility represents the best (current) estimate for the
future volatility of the underlying stock - from the current time
through expiration.
These premiums are very different. That's why a trader cannot simply
go out and buy an option. It's important to know whether the option
price is reasonable.