Publications in Scientific Journals:
M. Beiglböck, A. Cox, M. Huesmann, N. Perkowski, D. Prömel:
"Pathwise Super-Hedging via Vovk's Outer Measure";
Finance and Stochastics,
Volume 21
(2017),
Issue 4;
1141
- 1166.
English abstract:
Since Hobson´s seminal paper (Hobson in Finance Stoch. 2:329-347, 1998), the connection between model-independent pricing and the Skorokhod embedding problem has been a driving force in robust finance. We establish a general pricing-hedging duality for financial derivatives which are susceptible to the Skorokhod approach.
Using Vovk´s approach to mathematical finance, we derive a model-independent superreplication theorem in continuous time, given information on finitely many marginals. Our result covers a broad range of exotic derivatives, including lookback options, discretely monitored Asian options, and options on realized variance.
Keywords:
Model-independent pricing Optimal transport Skorokhod embedding Superreplication theorem Vovk´s outer measure / Mathematics Subject Classification (2010) 60G44 91G20 91B24 JEL Classification G13
Electronic version of the publication:
https://link.springer.com/article/10.1007/s00780-017-0338-2
Created from the Publication Database of the Vienna University of Technology.