November 10th, 2011, 2:03 pm
An annuity being a sum of discount factors (eventually with deterministic weights), it will not depend on volatility as long as your DF do not depend on it.Actually your DF may result from a bootstrapping procedure where the only point concerning volatility would be the convexity correction for futures.I haven't seen any convexity correction based on volatility which is not the ATM one (as the ATM level means the level of the future itself).