Arbitrage-free pricing of game options in nonlinear markets

Edward Kim, Marek Rutkowski*, Tianyang Nie

*Corresponding author for this work

Research output: Working paperPreprint

Abstract

The goal is to re-examine and extend the findings from the recent paper by Dumitrescu, Quenez and Sulem (2017) who studied game options within the nonlinear arbitrage-free pricing approach developed in El Karoui and Quenez (1997). We consider the setup introduced in Kim, Nie and Rutkowski (2018) where contracts of an American style were examined. We give a detailed study of unilateral pricing, hedging and exercising problems for the counterparties within a general nonlinear setup. We also present a BSDE approach, which is used to obtain more explicit results under suitable assumptions about solutions to doubly reflected BSDEs.
Original languageEnglish
Number of pages27
DOIs
Publication statusIn preparation - 14 Jul 2018

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