Quote from late apex:
I think some will be confused by the above discussion of ES / YM hedging ratio... let me see if I can clarify.
The tick sizes are irrelevant. To compute the optimal hedge ratio (OHR) -- how many ES to go long for each YM short? -- one needs simply to consider the relative USD value of a 1% move in ES and YM, adjusted for beta.
Beta here is the coef. (slope) of a linear regression of % change in YM (dependent variable) on % change in ES (independent var.), with the intercept forced to 0. (Such a regression works well because YM and ES are highly positively correlated.) The time frame of the inputs should be similar to the expected hedge duration. So, if counteracting an exchange blackout, perhaps hourly is apppropriate; no hard rule here.
I'll let you run your own regression on your data. For this example, let's use 0.9. In this case, using today's values at 9:20 am CST:
OHR = 0.9 x (10,940 x 1% x $5) / (1,226 x 1% x $50) = 0.9 x 0.892 = 0.803 ~= 0.8 ES contracts for each YM contract.
In plain English, ES:
1) moves more in $ value than YM, for a 1% move in each, about $613 v. $547; and
2) is more volatile than YM, on average.
So, if anything, you were overhedged by about 3 ES contracts long (15 x 0.8 = 12). Unfortunately, the fact that your long ES entry was late cannot be considered. If you go long more ES than called for by the correct OHR, you are now adding an outright long bet on ES to the long/short ES-YM spread. That's fine, as long as you're aware of the additional directional exposure risk you're taking on and accept it.