Theirpayoffsdependonwhethertheunderlyinghits a certainlevel, whichwecallthebarrier, beforetheexpirationdate.
Theycanbeeitherknock-inorknock-out.
A knock-inoptionhasnointrinsicvalueuntiltheunderlyingtouchesthebarrierprice.
Ifthebarrierpriceishitduringthelifeoftheoption, itbecomes a vanillaoption.
A knock-outoptionislike a vanillaoption, butiftheunderlyingassetpricehitstheTheactivationordeactivationofthebarriercaneitherbeupwhentheunderlyingassetpricegoesabovethethreshold, ordownwhentheunderlyingassetpricegoesbelow.
A barrieroptionisanexampleof a path-dependentoptionbecauseitsvaluedependsonthepreviouspricesoftheunderlyingduringthelifeoftheoption.
A barrieroptionisalwayscheaperthananotherwisesimilaroptionwithoutthebarrier.
Typically, anupandoutcallischeaperthan a similarcalloptionwithoutthebarrierbecauseithas a chanceofbeingknock-outiftheunderlyingassetpriceexceedsthebarrierlevel.