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322 Part Ill: Put Option Strategies
50 put. By using the option strategy, the investor has nearly the same profit and loss
potential as the stock buyer, as shown in Table 21-1. The two right-hand columns of
the table compare the results of the option strategy with the results that would be
obtained by merely owning the stock at .50.
The table shows that the result of the option strategy is exactly $100 less than
the stock results for any price at expiration. Thus, the "synthetic" long stock and the
actual long stock have nearly the same profit and loss potentials. The reason there is
a difference in the results of the two equivalent positions lies in the fact that the
option strategist had to pay 1 point of time premium in order to set up his position.
This time premium represents the $100 by which the "synthetic" position underper­
forms the actual stock position at expiration. Note that, with XYZ at 50, both the put
and the call are completely composed of time value premium initially. The synthetic
position consists of paying out 5 points of time premium for the call and receiving in
4 points of time premium for the put. The net time premium is thus a 1-point pay­
out.
The reason one would consider using the synthetic long stock position rather
than the stock position itself is that the synthetic position may require a much small­
er investment than buying the stock would require. The purchase of the stock
requires $5,000 in a cash account or $2,500 in a margin account (if the margin rate is
50%). However, the synthetic position requires only a $100 debit plus a collateral
requirement - 20% of the stock price, plus the put premium, minus the difference
between the striking price and the stock price. The balance, invested in short-term
funds, would earn enough money, theoretically, to offset the $100 paid for the syn­
thetic position. In this example, the collateral requirement would be 20% of $5,000,
or $1,000, plus the $400 put premium, plus the $100 debit incurred by paying 5 for
the call and only receiving 4 for the put. This is a total of $1,500 initially. There is no
TABLE 21·1.
Synthetic long stock position.
XYZ Price at January 50 January 50 Total Option Long Stock
Expiration Call Result Put Result Result Result
40 -$500 -$600 -$1, 100 -$1,000
45 - 500 - 100 600 500
50 - 500 + 400 100 0
55 0 + 400 + 400 + 500
60 + 500 + 400 + 900 + 1,000