September 28th, 2012, 4:23 am
the normalised vol is important in the gamma area ie for options with a maturity lower than 2 years.The curve is so steep in the short term, it is better to look at the bp per annum vol than the log vol, with the log vol, the standard deviation of the underlying is proportional to the forward.the difference between norm vol on 1m30y and 1m5y comes from the fact that the 30y is usually less volatile than the 5y (kind of mean reversion, just check it with the historical vols)The normal vol is much less important in the vega area (options above 2 y maturity)The delta Log is completely wrong for ATM straddles, especially with low rates/high log vols, using norm vols will give a better result : zero. In fact the ATM delta is between -3% and +5%, but you have to use a SABR model to compute itThe norm vol is usefull in the gamma area where you will be able to perform relative value analysis and compare the implied and historical vols, it is less effective for the vega area, above 10 year, witht eh actual low rates, the probabilities of negative rates will exist with a normal model