Geodesic
Structure of optimal stopping
Teoriâ slučajnyh processov, Tome 13 (2007) no. 4, pp. 98-129

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American options give us the possibility to exercise them at any moment of time up to maturity. An optimal stopping domain for American type options is a domain that, if the underlying price process enters we should exercise the option. A knock out option is a American barrier option of knock out type, but with more general shape structure of the knock out domain. An algorithm for generating the optimal stopping domain for American type knock out options is constructed. Monte Carlo simulation is used to determine the structure of the optimal stopping domain. Results of the structural, and stability of studies are presented for different models of payoff functions and knock out domains.
Keywords: Markov process, optimal stopping, discrete time, American option, knock out option
Mots-clés : barrier option, Monte Carlo simulation. 
@article{THSP_2007_13_4_a6,
     author = {Robin Lundgren},
     title = {Structure of optimal stopping},
     journal = {Teori\^a slu\v{c}ajnyh processov},
     pages = {98--129},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/THSP_2007_13_4_a6/}
}
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Robin Lundgren. Structure of optimal stopping. Teoriâ slučajnyh processov, Tome 13 (2007) no. 4, pp. 98-129. http://geodesic.mathdoc.fr/item/THSP_2007_13_4_a6/