Template-Type: ReDIF-Paper 1.0 Title: Closed form representations for the minimal hedging portfolios of American type contingent claims Author-Name: A. N. Vishnyakov Author-Name: Kramkov, D.O. Abstract: In the framework of the classical Black and Scholes model of security market we present the explicit formulas of the minimal hedging portfolios for a number of reward processes of the ``classical'', lookback and Asian type. These results complement the solutions previously received by Mc~Kean, Shepp and Shiryaev, Duffie and Harrison, Kramkov and Mordecki. Keywords: hedging, arbitrage, american options, path dependent options, Snell envelope, optimal stopping Classification-JEL: G13 Creation-Date: 1994-05 Handle: RePEc:bon:bonsfb:279