Optimality of the replicating strategy for American options
Applicationes Mathematicae, Tome 26 (1999) no. 1, pp. 93-105
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
The aim of this paper is to study the problem of optimality of replicating strategies associated with pricing of American contingent claims in the Cox-Ross-Rubinstein model with proportional transaction costs. We show that a replication of the option is always possible. We give sufficient conditions for the existence of a replicating strategy which is optimal, and also show an example of an optimal replicating strategy that is not optimal in the global sense.
DOI :
10.4064/am-26-1-93-105
Keywords:
Cox-Ross-Rubinstein model, replicating strategy, American option
Affiliations des auteurs :
Marek Kociński 1
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author = {Marek Koci\'nski},
title = {Optimality of the replicating strategy for {American} options},
journal = {Applicationes Mathematicae},
pages = {93--105},
publisher = {mathdoc},
volume = {26},
number = {1},
year = {1999},
doi = {10.4064/am-26-1-93-105},
zbl = {1050.91514},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-26-1-93-105/}
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TY - JOUR AU - Marek Kociński TI - Optimality of the replicating strategy for American options JO - Applicationes Mathematicae PY - 1999 SP - 93 EP - 105 VL - 26 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/am-26-1-93-105/ DO - 10.4064/am-26-1-93-105 LA - en ID - 10_4064_am_26_1_93_105 ER -
Marek Kociński. Optimality of the replicating strategy for American options. Applicationes Mathematicae, Tome 26 (1999) no. 1, pp. 93-105. doi: 10.4064/am-26-1-93-105
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