Abstract
AbstractPartial hedging of American options is an interesting minimax problem and in this paper we establish its dual problem that concerns only maximization. The case of a continuous price process is considered under a general incomplete market. Our construction of a duality requires a careful preparation in order to define the dual domain with a compactness property. A key step is an extension of linear functionals preserving norm and positivity.
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics,Theoretical Computer Science,Analysis
Reference22 articles.
1. Aliprantis, C.D., Burkinshaw, O.: Positive Operators. Springer, New York (2006)
2. Ansel, J.P., Stricker, C.: Couverture des actifs contingents et prix maximum. Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques, 30(2):303–315, (1994)
3. Bensoussan, A.: On the theory of option pricing. Acta Appl. Math. 2(2), 139–158 (1984)
4. Bismut, J.M.: Temps d’arrêt optimal, quasi-temps d’arrêt et retournement du temps. Ann. Probab. 7(6), 933–964 (1979)
5. Bogachev, V.I.: Measure theory, vol. I. Springer-Verlag, Berlin (2007)
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献