Abstract:
We show that the delta-hedged portfolio is not actually risk-free even for brownian underlying due to history dependence in the ammount of hold portfolio. We find this ammount explicitly, as a function of underlying price evolution and option price. This shows that even in the B-S world (perfect market and brownian asset price evolution) the B-S equation can only be an approximation.
Keywords:hedging; Black Scholes (search for similar items in EconPapers) JEL-codes:G (search for similar items in EconPapers) New Economics Papers: this item is included in nep-fin Date: 2004-08-24 Note: Type of Document - pdf; pages: 4