norm swaption volatility
Posted: September 22nd, 2012, 2:38 pm
a few short questions about the above concept:why is normalised vol so important - i.e. why do most brokers etc pay much more attention to this qty rather than black vol..?It is apparent that black vol is directly related to the level of rates so that higher swap rates such as 1m30y tend to have lower black vols than say 1m5y mainly because of the leverage effect..Obviously this impairs you from being able to see relative value between these trades (in a vol sense because they'd just be straddles anyway), therefore it is quite important to have a measure of value indep of the level of rates - this is one of the reasons normalised vol is important right? (Correct me if I am wrong)For gamma trades such as 1m10y normalised vol is a nice qty to give you annualised break evens or daily break evens as well..How is it useful for Vega trades such as 10y10y vs 10y30y..?However even though individually these make sense and are reasons to look at normalised vols i cant really merge the two points together..? Some people like to normalise their deltas and vegas..at the moment with rates so low is there really a distributional justification for this? if not, is this just a preference? Also, say I have a 10y10y swaption straddle, in a normal model this trade has no delta. therefore, locally (at least) it is only a function of normal vol..Is this another reason why bp/normalised vol is quite important when trading straddles? In a black model because of the lognormal distributional assumptions the straddle immediately has a +ve delta (even though this is relatively small) it is still an imperfect measure..Let me know if these assertions I am making are correct or just misguided as I seem to get a lot of conflicting/incorrect or just misleading comments where I work.Thanks