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Chapter 40: Advanced Concepts
Position summary
Risk Factor
Position delta = l 00
Position gamma = -600
Position theta = +$600
Position vega = -$3,600
877
Comment
Neutral; no immediate exposure to small
market movements; lose $100 for 1
point move in underlying.
Fairly negative; position will react
inversely to market movements, causing
losses of $700 for second point of
movement by underlying.
Favorable; the passage of time works in the
position's favor.
Very negative; position is extremely
subject to changes in implied volatility.
This straddle sale has only one thing guaranteed to work for it initially: time
decay. (The risk factors will change as price, time, and volatility change.) Stock price
movements will not be helpful, and there will always be stock price movements, so
one can expect to feel the negative effect of those price changes. Volatility is the big
unknown. If it decreases, the straddle seller will profit handsomely. Realistically,
however, it can only decrease by a limited amount. If it increases, very bad things will
happen to the profitability of the position. Even worse, if the implied volatility is
increasing, there is a fairly likely chance that the underlying stock will be jumping
around quite a bit as well. That isn't good either. Thus, it is imperative that the strad­
dle seller engage in the strategy only when there is a reasonable expectation that
volatilities are high and can be expected to decrease. If there is significant danger of
the opposite occurring, the strategy should be avoided.
If volatility remains relatively stable, one can anticipate what effects the passage
of time will have on the position. The delta will not change much, since the options
are nearly at-the-money. However, the gamma will increase, indicating that nearer to
expiration, short-term price movements will have more exaggerated effects on the
unrealized profits of the position. The theta will grow even more, indicating that time
will be an even better friend for the straddle writer. Shorter-term options tend to
decay at a faster rate than do longer-term ones. Finally, the vega will decrease some
as well, so that the effect of an increase in implied volatility alone will not be as dam­
aging to the position when there is significantly less time remaining. So, the passage