In this paper, we give an overview of (nonlinear) pricing-hedging duality and of its connection with the theory of entropy martingale optimal transport (EMOT), recently developed, and that of convex risk measures. Similarly to Doldi and Frittelli (Finance Stoch 27(2):255–304, 2023), we here establish a duality result between a convex optimal transport and a utility maximization problem. Differently from Doldi and Frittelli (Finance Stoch 27(2):255–304, 2023), we provide here an alternative proof that is based on a compactness assumption. Subhedging and superhedging can be obtained as applications of the duality discussed above. Furthermore, we provide a dual representation of the generalized optimized certainty equivalent associated with indirect utility.

Doldi, A., Frittelli, M., Rosazza Gianin, E. (2024). On entropy martingale optimal transport theory. DECISIONS IN ECONOMICS AND FINANCE [10.1007/s10203-023-00432-y].

On entropy martingale optimal transport theory

Rosazza Gianin, E
2024

Abstract

In this paper, we give an overview of (nonlinear) pricing-hedging duality and of its connection with the theory of entropy martingale optimal transport (EMOT), recently developed, and that of convex risk measures. Similarly to Doldi and Frittelli (Finance Stoch 27(2):255–304, 2023), we here establish a duality result between a convex optimal transport and a utility maximization problem. Differently from Doldi and Frittelli (Finance Stoch 27(2):255–304, 2023), we provide here an alternative proof that is based on a compactness assumption. Subhedging and superhedging can be obtained as applications of the duality discussed above. Furthermore, we provide a dual representation of the generalized optimized certainty equivalent associated with indirect utility.
Articolo in rivista - Articolo scientifico
Entropy optimal transport; Martingale optimal transport; Pathwise finance; Pricing-hedging duality; Robust finance;
English
26-gen-2024
2024
open
Doldi, A., Frittelli, M., Rosazza Gianin, E. (2024). On entropy martingale optimal transport theory. DECISIONS IN ECONOMICS AND FINANCE [10.1007/s10203-023-00432-y].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/466891
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