RT Report T1 Application of Convex Duality to the risk hedging of financial claims A1 Vilar Zanón, José Luis A1 Rogo, Barbara AB We work in an incomplete market with finite states. We obtain all the no arbitrage prices of a financial claim associating them to entropy levels. This is done by means of convex programs with an entropy constraint. We apply Fenchel duality to translate these programs to their duals and we obtain two particular cases. One arises when the dual entropy variable is null and represents the superreplicating case giving as solution the super-replicating portfolio at no risk. The other arises when the dual entropy variable is different from zero and stands for the partial replicating case corresponding to the prices in the interior of the non arbitrage prices interval. YR 2022 FD 2022 LK https://hdl.handle.net/20.500.14352/4340 UL https://hdl.handle.net/20.500.14352/4340 LA eng NO Gobierno de España DS Docta Complutense RD 10 abr 2025