OPTIMAL HEDGING IN DISCRETE TIME

Bruno Rémillard (1) , Sylvain Rubenthaler (2)

1 Groupe d'études et de recherche en analyse des décisions (GERAD)
2 LJAD - Laboratoire Jean Alexandre Dieudonné

Building on the work of Schweizer (1995) and Cern and Kallseny (2007), we present discrete time formulas minimizing the mean square hedging error for multidimensional assets. In particular, we give explicit formulas when a regime-switching random walk or a GARCH-type process is utilized to model the returns. Monte Carlo simulations are used to compare the optimal and delta hedging methods.

Mots clés: Hedging; option pricing; GARCH; regime-switching

Domaines: Probabilités [math.PR]

Bruno Rémillard, Sylvain Rubenthaler. OPTIMAL HEDGING IN DISCRETE TIME. Quantitative Finance, 2013, 13 (6), pp.819-825. ⟨hal-00755339⟩