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542 Part V: Index Options and Futures
bly the 180 strike, since those strikes are the ones whereby the calls have the least
chance for early assignment.
Where short options are involved, as with the calls in the above example, one
must be aware of the possibility of early assignment exposing the portfolio.
Consequently, if the marketplace has an equal premium on the futures and the "syn­
thetic" UVX, one should sell the futures in that case, because there is no possibility
of unwanted assignment. However, if the options represent a synthetic price that is
more expensive than the futures, then using the options may be more attractive.
Example: Suppose that our same investor has decided to hedge his portfolio with its
$720,000 of adjusted capitalization. He is indifferent as to whether to use the ZYX
futures or the UV:X options. He will use whichever one affords him the better oppor­
tunity. The following table depicts the prices of the securities that he is considering,
as well as their fair values.
Current Fair Index
Security Price Value Price
ZYX Jun Future 180.50 180.65 178.65
UVX Jun 175 Call 5 5 175.60
UVX Jun 175 Put 2 21/2 175.60
UVX Jun 180 Call 21/2 21/2 175.60
UVX Jun 1 80 Put 41/2 5 175.60
This investor essentially has three choices: (1) to use the ZYX futures, (2) to use
the UVX options with the 175 strike, or (3) to use the UV:X options with the 180
strike. Notice that the ZYX future is trading 15 cents below its fair value (180.50 vs.
180.65). The UV:X Index fair value, as shown by the fair values of the options, is
177.50. This can be computed by adding the call price to the strike and subtracting
the put price. In the case of either strike, the fair values indicate a UV:X Index fair
value of 177.50.
However, the actual markets are slightly out of line. When using the actual
prices, one sees that he can sell the UV:X Index synthetically for 178.00 whether he
uses the l 75's or the 180's. Thus, by using the UV:X options he can sell the UVX
"future" synthetically for ½ point over fair value, while the ZYX futures would have
to be sold at 15 cents under fair value. Thus, the options appear to be a better choice
since 65 cents ( the 50 cents that the UV:X options are overvalued plus the 15 cents
that the futures are undervalued) is probably enough of an edge to offset the possi­
bility of early assignment.