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O.,ter 16: Put Option Buying 261
changes even on a fractional move in the underlying stock, but one generally assumes
that it will hold true for a 1-point move. Obviously, put options have deltas as well. The
delta of a put is a negative number, reflecting the fact that the put price and the stock
price are inversely related. As an approximation, one could say that the delta of the
ctill option minus the delta of the put option with the same terms is equal to 1. That is,
Delta of put = Delta of call - 1.
This is an approximation and is accurate unless the put is deeply in-the-money. It has
already been pointed out that the time value premium behavior of puts and calls is
different, so it is inaccurate to assume that this formula holds true exactly for all
cases.
The delta of a put ranges between O and minus 1. If a July 50 put has a delta of
-½, and the underlying stock rises by 1 point, the put will lose ½ point. The delta of
a deeply out-of-the-money put is close to zero. The put's delta would decrease slow­
ly at first as the stock declined in value, then would begin to decrease much more
rapidly as the stock fell through the striking price, and would reach a value of minus
1 (the minimum) as the stock fell only moderately below the striking price. This is
reflective of the fact that an out-of-the-money put tends to hold time premium quite
well and an in-the-money put comes to parity rather quickly.
RANKING PROSPECTIVE PUT PURCHASES
In Chapter 3, a method of ranking prospective call purchases was developed that
encompassed certain factors, such as the volatility of the underlying stock and the
expected holding period of the purchased option. The same sort of analysis should be
applied to put option purchases.
The steps are summarized below. The reader may refer to the section titled
"Advanced Selection Criteria" in Chapter 3 for a more detailed description of why
this method of ranking is superior.
1. Assume that each underlying stock can decrease in price in accordance with its
volatility over a fixed holding period (30, 60, or 90 days).
2. Estimate the put option prices after the decrease.
3. Rank all potential put purchases by the highest reward opportunity for aggressive
purchases.
4. Estimate how much would be lost if the underlying stock instead rose in accor­
dance with its volatility, and rank all potential put purchases by best risk/reward
ratio for a more conservative list of put purchases.