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Chapter 25: LEAPS
THE DELTA
387
The delta of an option is the amount by which the option price will change if the
underlying stock changes in price by one point. In an earlier section of this chapter,
comparing the differences between LEAPS and short-term calls, mention was made
of delta. The subject is explored in more depth here because it is such an important
concept, not only for option buyers, but for most strategic decisions as well.
Figure 25-5 depicts the deltas of two different options: 2-year LEAPS and 3-
month equity options. Their terms are the same except for their expiration dates; strik­
ing price is 100, and volatility and interest rate assumptions are equal. The horizontal
axis displays the stock price while the vertical axis shows the delta of the options.
Several relevant observations can be made. First, notice that the delta of the at­
the-money LEAPS is very large, nearly 0.70. This means that the LEAPS call will
move much more in line with the common stock than a comparable short-term equi­
ty option would. Very short-term at-the-money options have deltas of about½, while
slightly longer-term ones have deltas ranging up to the 0.55 to 0.60 area. What this
implies is that the longer the life of an at-the-nwney option, the greater its delta.
In addition, the figure shows that the deltas of the 3-month call and the 2-year
LEAPS call are about equal when the options a~e approximately 5% in-the-money. If
the options are more in-the-money than that, then the LEAPS call has a lower delta.
This means that at- and out-of-the-money LEAPS will move more in line with the
common stock than comparable short-term options will. Restated, the LEAPS calls
will move faster than the ordinary short-term equity calls unless both options are
more than 5% in-the-money. Note that the movement referred to is in absolute terms
in change of price, not in percentage terms.
The delta of the 2-year LEAPS does not change as dramatically when the
stock moves as does the delta of the 3-month option (see Figure 25-5). Notice that
the LEAPS curve is relatively flat on the chart, rising only slightly above horizon­
tal. In contrast, the delta of the 3-month call is very low out-of-the-money and very
large in-the-money. What this means to the call buyer is that the amount by which
he can expect the LEAPS call to increase or decrease in price is somewhat stable.
This can affect his choice of whether to buy the in-the-money call or the out-of­
the-money call. With normal short-term options, he can expect the in-the-money
call to much more closely mirror the movement in the stock, so he might be tempt­
ed to buy that call if he expects a small movement in the stock. With LEAPS, how­
ever, there is much less discrepancy in the amount of option price movement that
will occur.