For evaluating a hedging strategy we have to know at every instant the solution of the Cauchy problem for a parabolic equation (the value of the hedging portfolio) and its derivatives (the deltas). We suggest to find these magnitudes by Monte Carlo simulation of the corresponding system of...

We study several approximations for the LIBOR market models presented in Brace, Gatarek, Musiela (1997), Jamshidian (1997) and Schoenmakers, Coffey (1999). Special attention is payed to log-normal approximations and their simulation by using direct simulation methods for log-normal random...