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668 Part V: Index Options and Futures
SPAN "margin" applies to futures contracts as well, although volatility consid­
erations don't mean anything in terms of evaluating the actual futures risk As a first
example, consider how SPAN would evaluate the risk of a futures contract.
Example: The S&P 500 futures will be used for this example. Suppose that the
Chicago Mercantile Exchange determines that the required maintenance margin for
the futures is $10,000, which represents a 20-point move by the futures (recall that
S&P futures are worth $500 per point). Moreover, the exchange determines that an
"extreme" move is 14 points, or $7,000 of risk
Scenario
Futures unchanged; volatility up
Futures unchanged; volatility down
Futures up one-third of range; volatility up
Futures up one-third of range; volatility down
Futures down one-third of range; volatility up
Futures down one-third of range; volatility down
Futures up two-thirds of range; volatility up
Futures up two-thirds of range; volatility down
Futures down two-thirds of range; volatility up
Futures down two-thirds of range; volatility down
Futures up three-thirds of range; volatility up
Futures up three-thirds of range; volatility down
Futures down three-thirds of range; volatility up
Futures down three-thirds of range; volatility down
Futures up "extreme" move
Futures down "extreme" move
Long 1
Future
Potential
Pit/Loss
0
0
+ 3,330
+ 3,330
- 3,330
- 3,330
+ 6,670
+ 6,670
- 6,670
- 6,670
+ 10,000
+ l 0,000
-10,000
- 10,000
+ 7,000
- 7,000
The 16 array items are always displayed in this order. Note that since this array
is for a futures contract, the "volatility up" and "volatility down" scenarios are always
the same, since the volatility that is referred to is the one that is used as the input to
an option pricing model.
Notice that the actual price of the futures contract is not needed in order to
generate the risk array. The SPAN requirement is always the largest potential loss
from the array. Thus, if one were long one S&P 500 futures contract, his SPAN mar­
gin requirement would be $10,000, which occurs under the "futures down three­
thirds" scenarios. This will always be the maintenance margin for a futures contract.