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706 Part V: Index Options and Futures
futures are approximately unchanged at expiration of the March options, he should
profit handsomely, because the March calls are slightly overpriced at the current
time, plus they will decay at a faster rate than the May calls over the next two months.
Suppose that he is correct and March futures are unchanged at expiration of the
March options. This is still no guarantee of profit, because one must also determine
where May futures are trading. If the spread between May and March futures
behaves poorly (May declines with respect to March), then he might still lose money.
Look at the following table to see how the futures spread between March and May
futures affects the profitability of the calendar spread. The calendar spread cost 7
debit when the futures spread was +4 initially.
Futures Calendar
Futures Prices Spread May 600 Call Spread
March/May Price Price Profit/Loss
594/570 -24 4 -3 cents
594/580 -14 61/2 _1/2
594/590 -4 10 +3
594/600 +6 141/2 +71/2
Thus, the calendar spread could lose money even with March futures
unchanged, as in the top two lines of the table. It also could do better than expected
if the futures spread widens, as in the bottom line of the table.
The profitability of the calendar spread is heavily linked to the futures spread
price. In the above example, it was possible to lose money even though the March
futures contract was unchanged in price from the time the calendar spread was
initially established. This would never happen with stock options. If one placed a
calendar spread on IBM and the stock were unchanged at the expiration of the near­
term option, the spread would make money virtually all of the time ( unless implied
volatility had shrunk dramatically).
The futures option calendar spreader is therefore trading two spreads at once.
The first one has to do with the relative pricing differentials (implied volatilities, for
example) of the two options in question, as well as the passage of time. The second
one is the relationship between the two underlying futures contracts. As a result, it is
difficult to draw the ordinary profit picture. Rather, one must approach the problem
in this manner:
1. Use the horizontal axis to represent the futures spread price at the expiration of
the near-term option.