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866 Part VI: Measuring and Trading VolatOity
enough, the gamma (and therefore the delta) may change dramatically. Thus, one
might want to know how this risk measure affects his profitability.
SUMMARY
Delta: Positive delta indicates that a position is currently bullish; if the underly­
ing security goes up in price, the position should make money. A negative
delta indicates a bearish slant.
Gamma: Positive gamma means that the delta will increase if the underlying secu­
rity rises in price. Positive gamma generally implies that there is a pre­
ponderance of long options in the position, either puts or calls; negative
gamma indicates written or naked options in the position.
Theta: Negative theta means that the position will lose money as time passes
(typical of positions with long options); positive theta implies that time is
working for the position (positions with written options).
Vega: Positive vega means that an increase of (perceived) volatility will benefit
the position - usually true of positions with long options in them; nega­
tive vega means that a decrease of volatility would be beneficial.
STRATEGY CONSIDERATIONS: USING THE
11
GREEKS"
Before looking at how one operates a particular strategy using delta, gamma, etc., it
might be beneficial to see how these factors relate to the individual strategies that
have been described throughout this book. Table 40-8 is a general guide to how the
various strategies are exposed to various market factors. It is not an all-purpose or
specific table, because as the stock moves higher or lower, some of the risk measure­
ment factors will certainly be affected.
A few assumptions were made in constructing the table. First, it was assumed
that the strategies where delta is noted as being zero are established in a neutral
stance. The bull spread and bear spread strategies assumed that the stock was mid­
way between the striking prices. Two other spread strategies - ratio call and ratio put
- assumed the stock was at the striking price of the option that was sold. In all other
cases, there is only one striking price involved, and it was assumed that the stock was
at the strike.
The table may help to clarify some of the concepts concerning the risk meas­
urement factors. First, notice that stock or futures - or any underlying security- have
only delta. None of the other factors pertains to the underlying security itself.