Open Access
2021 American options in nonlinear markets
Edward Kim, Tianyang Nie, Marek Rutkowski
Author Affiliations +
Electron. J. Probab. 26: 1-41 (2021). DOI: 10.1214/21-EJP658


We study unilateral valuation problems for American options within the framework of a general nonlinear market by extending results from Bielecki et al. [9, 12] who examined contracts of European style. A BSDE approach is used to establish more explicit pricing, hedging and exercising results when solutions to reflected BSDEs have additional desirable properties. We employ for this purpose results on solutions to BSDEs and reflected BSDEs driven by RCLL martingales obtained by Nie and Rutkowski [62, 63].

Funding Statement

The research of T. Nie was supported by the National Natural Science Foundation of China (Nos. 12022108, 11971267, 11831010, 61961160732), Natural Science Foundation of Shandong Provincial (No. ZR2019ZD42), China Postdoctoral Science Foundation (Nos. 2018M640620 and 2019T120580) and Qilu Young Scholars Program and Distinguished Young Scholars Program of Shandong University. The research of M. Rutkowski was supported by the Australian Research Council Discovery Project DP200101550.


Download Citation

Edward Kim. Tianyang Nie. Marek Rutkowski. "American options in nonlinear markets." Electron. J. Probab. 26 1 - 41, 2021.


Received: 9 March 2020; Accepted: 7 June 2021; Published: 2021
First available in Project Euclid: 22 June 2021

Digital Object Identifier: 10.1214/21-EJP658

Primary: 60H10 , 60H30 , 60J28 , 91G30 , 91G40

Keywords: American option , nonlinear evaluation , nonlinear market , Reflected BSDE

Vol.26 • 2021
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