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Chapter 40: Advanced Concepts
FIGURE 40-19.
Trading long gamma, 11 conventional" calendar.
7500
5000
2500
fJ)
fJ)
.3 :;:, 0 '§ 45 50 Q.
-2500
-5000 At March Expiration
-7500
Stock Price
901
75
much risk of time decay. A second attempt was made, introducing positive volatility
into the situation, but that didn't seem to help much. Finally, a third analysis was gen­
erated involving only long volatility and not long gamma. The resulting position has lit­
tle time risk, but has risk if the stock drops in price. It is probably the best of the three.
The strategist arrives at this conclusion through a logical process of analysis.
ADVANCED MATHEMATICAL CONCEPTS
The remainder of this chapter is a short adjunct to Chapter 28 on mathematical
applications. It is quite technical. Those who desire to understand the basic concepts
behind the risk measures and perhaps to utilize them in more advanced ways will be
interested in what follows.
CALCULATING THE "'GREEKS"
It is known that the equation for delta is a direct byproduct of the Black-Scholes
model calculation:
~ = N(dl)