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Chapter 40: Advanced Concepts 889
Continuing to look at the profit picture, the downside is favorable to the spread
since the short stock in the position would contribute to ever larger profits in the case
that XYZ tumbles dramatically (see Figure 40-12). The upside is where problems
could develop. In 7 days, the position breaks even at about 65 on the upside; in 14
days, it breaks even at about 67.50.
The reader may be asking, "Why is there such a dramatic risk to the upside? I
thought the position was delta neutral and gamma neutral." True, the position was
originally neutral with respect to both those variables. That neutrality explains the
flatness of the profit curves about the current stock price of 60. However, once the
stock has moved 1.50 standard deviations to the upside, the neutrality begins to dis­
appear. To see this, let us look at Figures 40-13 and 40-14 that show both the posi­
tion delta and position gamma 7 days and 14 days after the spread was established.
Again, these are the same numbers listed in the previous tables.
First, look at the position delta in 7 days (Figure 40-13). Note that the position
remains relatively delta neutral with XYZ between 57 and 63. This is because the
gamma was initially neutral. However, the position begins to get quite delta short if
XYZ rises above 63 or falls below 57 in 7 days. What is happening to gamma while
this is going on? Since we just observed that the delta eventually changes, that has to
mean that the position is acquiring some gamma.
FIGURE 40-12.
XYZ ratio spread, gamma and delta neutral.
4300
3400
2500
1600
~ 700 a..
0
-200 53 55 57 59 61 63
.-1100
-2000
Stock Price