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This article is cited in 19 scientific papers (total in 19 papers)
Short Communications
On super-replication in discrete time under transaction costs
P. F. Koehla, Pham Huyênb, N. Touzic a CDC, DABF, France
b Laboratoire de Probabilitès et Modèles Aléatoires, UFR Matheématiques, Universiteé Paris VII, France
c CERMSEM, Université Paris I, France
Abstract:
In a general discrete-time model with proportional transaction costs, we derive a dual representation of the super-replication cost, i.e., the minimal initial amount needed to hedge a contingent claim by means of a self-financing strategy. Such a representation is previously known from [E. Jouini and H. Kallal, J. Econ. Theory, 66 (1995), pp. 178–197], [S. Kusuoka, Ann. Appl. Probab., 5 (1995), pp. 198–221], and [J. Cvitanic and I. Karatzas, Math. Finance, 6 (1996), pp. 133–166] in similar frameworks.
Keywords:
transaction costs, super-replication cost, dual representation.
Received: 27.09.1998
Citation:
P. F. Koehl, Pham Huyên, N. Touzi, “On super-replication in discrete time under transaction costs”, Teor. Veroyatnost. i Primenen., 45:4 (2000), 783–788; Theory Probab. Appl., 45:4 (2001), 667–673
Linking options:
https://www.mathnet.ru/eng/tvp511https://doi.org/10.4213/tvp511 https://www.mathnet.ru/eng/tvp/v45/i4/p783
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