October 27th, 2005, 4:02 am
generally stated, the p/l effects of an IMM roll on swap book come from the basic fact that after the front future rolls off, the curve suddenly becomes constructed with new, different intruments. the major p/l swings come from the two "transition" points in the curve. most swap curves consist of 3 intruments: cash deposit rates in the very front of the curve out the 3m point (3mL), then some number of convexity-adjusted eurodollar futures (usually no more than 20, or 5ys worth), and then par swap rates. the rule is generally that in an overlapping situaton, the prority of ordering is swaps, ed futures, then deposit rates, respectively.... so the day before the imm roll all the cash rates to 3m inputted into the curve are not being used, as the front future almost completely covers the first 3m, and so the curve ignores the cash rates. so the term structure of the first 3m of the curve just before imm roll is just the 3m rarte implied by the about-to-expire ed future...after the roll, the cash rate come back into use in the curve, as the next ed future is now 3m away... this means that all the short-dated forwards in the first 3m will change based on the change in curve construction.... so any swap book positions in these fwds will be revalued with the new curve structure.... the same thing happens at the futures/swaps transition point, as the futures strip is extended by 3m due to adding one more future, so all the fwd rates in that area of extension will change and create p/l effects.....