The determination of stock options spread pricing as described
above works in most cases but please be aware that this assumes
that the implied volatility in both the 35 and 40 calls is the
same. Most of the time, these two options will have a slightly
different implied volatility.
This intra-month difference in implied volatility values through
different strikes is known as a vertical volatility skew. The
reason the markets run volatility skews is to make sure that
the out-of-the-money
stock options spread have enough premium
in them to justify the individual options risk/reward scenario.
For now, it is enough to know that there is a volatility skew,
but as long as it is a tight skew (little deviation of implied
volatility from strike to strike) the values should hold pretty
consistent in our previous examples.
Whatever factors effect the vertical stock options spread, they
are contingent on where the stock is in relation to the stock
options spread. Changes in implied volatility affect the price
of a spread as stated above but the position of the stock in
relation to the strikes of the stock options spread are a key
determinate of price.
Volatility & The Stock Options Spread
To get a good feel for volatilitys effect on the vertical stock
options spread, we will look at three different spreads, against
three different implied volatilities while keeping the stock
price constant at 67 ½. The three spreads we will be looking
at will be the 60 65 call stock options spread, the 65- 70
call spread and the 70 75 call spread.
|
30 Vol. |
$ Amount Change |
40 Vol. |
$ Amount Change |
50 Vol. |
$ Amount Change |
June 60-65 ITM |
4.28 |
--- |
3.95 |
-.33 |
3.67 |
-.28 |
June 65-70 AITM |
2.47 |
--- |
2.44 |
-.03 |
2.41 |
-.03 |
June 70-75 OTM |
.075 |
--- |
1.04 |
+.29 |
1.25 |
+.21 |
Looking at the chart we observe how volatility movements affect
in-the-money, at-the-money and the out-of-the-money vertical
stock options spread.
Looking at the in-the-money stock options spread (June 60
65) we see that as volatility increases, the value of the stock
options spread decreases. This is because with the increased
volatility, the stock will have a greater tendency to move around
and that will bring a higher likelihood of the stock moving
to a price where the June 60 65 call spread will no longer
be in-the-money.
To adjust for higher volatility risk, the stock options spread
will have less value. The rule of thumb is that as volatility
increases, the value of in-the-money vertical stock options
spread decreases. Vice-versa, as volatility decreases, an in-the-money
vertical stock options spread value increases.
The at-the-money vertical stock options spread (June 65 70)
will see very little effect with the change in volatility. With
the stock price located equidistant from the two strikes, each
strikes volatility component will be very similar. Thus, when
volatility increases both options will increase equally. Being
long one and short the other, the increase in values will offset
each other so the stock options spread value will hold pretty
constant. The rule of thumb is that when volatility increases
or decreases, the value of an at-the-money vertical stock options
spread will stay reasonably constant.