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420 Part IV: Additional Considerations
ever, to assume that the risk in holding a call option is less than 100% in a holding
period as short as 30 days. The strategist may feel that he is disciplined enough to sell
out when losses occur and thereby hold the risk to less than 100%. Alternatively,
mathematical analysis will generally show that the expected loss in a fixed time peri­
od is less than 100%. One can also mitigate the probability oflosing all of his money
in an option purchase by buying in-the-money options. While they are more expen­
sive, of course, they do have a larger probability of having some residual worth even
if the underlying stock doesn't rise to the trader's expectations. Adhering to any of
these criteria can lead one to become too aggressive and therefore be too heavily
committed to option purchases. It is far safer to stick to the simpler, more restrictive
assumption that one is risking all his money, even over a fairly short holding period,
when he buys an option.
AVOIDING EXCESSIVE RISK
One final word of caution must be inserted. The investor should not attempt to
become 'Janey" with the income-bearing portion of his assets. T-bills may appear to
be too "tame" to some investors, and they consider using GNMA's (Government
National Mortgage Association certificates), corporate bonds, convertible bonds, or
municipal bonds for the fixed-income portion. Although the latter securities may
yield a slightly higher return than do T-bills, they may also prove to be less liquid and
they quite clearly involve more risk than a short-term T-bill does. Moreover, some
investors might even consider placing the balance of their funds in other places, such
as high-yield stock or covered call writing. While high-yield stock purchases and cov­
ered call writing are conservative investments, as most investments go, they would
have to be considered very speculative in comparison to the purchase of a 90-day T­
hill. In this strategy, the profit potential is represented by the option purchases. The
yield on short-term T-bills will quite adequately offset the risks. One should take
great care not to attempt to generate much higher yields on the fixed-income portion
of his investment, for he may find that he has assumed risk with the portion of his
money that was not intended to have any risk at all.
A fair amount of rigorous mathematical work has been done on the evaluation
of this strategy. The theoretical papers are quite favorable. Scholars have generally
considered only the purchase of call options as the risk portion of the strategy.
Obviously, the strategist is quite free to purchase put options without harming the
overall intent of the strategy. When only call options are purchased, both static and
down markets harm the performance. If some puts are included in the option pur­
chases, only static markets could produce the worst results.