where K > b is an arbitrary strike. The portfolio H
II
(K) is a combination
of initially buying a digital option paying 1 if ST > b, buying ñ = 1/(KâËâb)
calls with strike K and selling ñ puts with strike b. Upon reaching b we
something like treat the closer side like a single binary, and replicate with vanilla synthetics depending on the + or - delta.. meaning if your closer to the lower barrier touch you have negative deltas and would go long the synthetic and buy the single barrier with the same strike as the touch barrier.. am i right?
II
(K) is a combination
of initially buying a digital option paying 1 if ST > b, buying ñ = 1/(KâËâb)
calls with strike K and selling ñ puts with strike b. Upon reaching b we
something like treat the closer side like a single binary, and replicate with vanilla synthetics depending on the + or - delta.. meaning if your closer to the lower barrier touch you have negative deltas and would go long the synthetic and buy the single barrier with the same strike as the touch barrier.. am i right?