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472
A Complete Guide to the Futures mArket
If an intercurrency spread is motivated by the second of these factors, the position should be
balanced in terms of equal dollar values. (This may not always be possible for the small trader.)
Otherwise, equity losses can occur, even if the exchange rate between the two currencies remains
unchanged.
For example, consider a long 4 December SF/short 4 December euro spread position imple-
mented when the December SF = $1.000 and the December euro = $1.250. At the trade initiation,
the exchange rate between the SF and euro is 1 euro = 1.25 SF. If the SF rises to $1.100 and the
euro climbs to $1.375, the exchange rate between the SF and euro is unchanged: 1 euro = 1.25 SF.
However, the spread position will have lost $12,500:
Equity change numbe ro fc ontrac ts number of unitsp er contra ct ga=× × iin/loss peru nit
Equity change in long SF 41 25 000 01 0= 50 000=× ×,$ .$ ,
Equity change in short euro 4 125 000 01 25 62 500=× × =,$ .$ ,
Netp rofit/loss 12 500= $,
The reason the spread loses money even though the SF/euro exchange rate remains unchanged
is that the original position was unweighted. At the initiation prices, the spread represented a long
SF position of $500,000 but a short euro position of $625,000. Thus, the spread position was biased
toward gaining if the dollar weakened against both currencies and losing if the dollar strengthened. If,
however, the spread were balanced in terms of equal dollar values, the equity of the position would
have been unchanged. For example, if the initial spread position were long 5 December SF/short 4
December euro (a position in which the dollar value of each side = $625,000), the aforementioned
price shift would not have resulted in an equity change:
Equity change in long SF 51 25 000 01 06 25 00=× ×=,$ .$ ,
Equity change in short euro 4 125 000 01 25 62 500=× × =,( $. )$ ,
Netprofit/loss 0=
The general formula for determining the equal-dollar-value spread ratio (number of contracts of
currency 1 per contract of currency 2) is:
Equal-dollar-spread rati o
numbe ro f units per
contra ct of currenc= yy2
priceo f
currenc y2
numbe ro f units per
contra ct of currenc y1
() ()
(() ()
priceo f
currenc y1
For example, if currency 1, the British pound (BP) = $1.50, and currency 2, the euro = $1.20,
and the BP futures contract consists of 62,500 units, while the euro futures contract consists of
125,000 units, the implied spread ratio would be:
(, )($ .)
(, )($ .) .125 0001 20
62 5001 50 16=