June 29th, 2008, 5:36 am
Hedging Cliquets:equivalent to series of fwd starting calls; lets say striking at t1 & maturing at t2.Pricing: I can find the fwd local vol surface if i know the vol surface for 0->t1 & 0->t2, Reason I am asking you to price it Local vol, because its a cap floor cliquet, something like a call spread having a forward skew exposure......Hedging exposures: 0-t11)delta is 02)vega : First of all y at all there should be a vega. as you increase the vol theres an opportunity of lower strike and higher spot at maturity, but if things turn out to be otherwise we are safe because of the global flooring at 0. Hence a positive vega, Now intuitively this vega is higher than the vega of an ATM already struck option. And we near the date t1 vega approaches the vega of a already struck ATM option. selling a 0-t2 straddle and buying a 0-t1 straddle in an appropriate ratio can ensure an approximate hedge.