A boundary for the existence of solution to the maximum entropy problem applied in European call options
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 52 (2018) no. 1, pp. 3-7

Voir la notice de l'article provenant de la source Math-Net.Ru

The following paper introduces a computationally effective way of finding and utilizing maximum entropy problem boundaries for up to three dimensional cases. The application of the results is concentrated on financial options pricing and reverse distribution calculation. Based on market information in form of current option prices a distribution of future states is constructed. Using the suggested approach it will be possible to identify cases, where no solution to the maximum entropy problem exists, and parameters, for which a feasible solution can be reached.
Keywords: boundary, entropy
Mots-clés : distribution, options.
@article{UZERU_2018_52_1_a0,
     author = {N. D. Margaryan},
     title = {A boundary for the existence of solution to the maximum entropy problem applied in {European} call options},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {3--7},
     publisher = {mathdoc},
     volume = {52},
     number = {1},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2018_52_1_a0/}
}
TY  - JOUR
AU  - N. D. Margaryan
TI  - A boundary for the existence of solution to the maximum entropy problem applied in European call options
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2018
SP  - 3
EP  - 7
VL  - 52
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2018_52_1_a0/
LA  - en
ID  - UZERU_2018_52_1_a0
ER  - 
%0 Journal Article
%A N. D. Margaryan
%T A boundary for the existence of solution to the maximum entropy problem applied in European call options
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2018
%P 3-7
%V 52
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2018_52_1_a0/
%G en
%F UZERU_2018_52_1_a0
N. D. Margaryan. A boundary for the existence of solution to the maximum entropy problem applied in European call options. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 52 (2018) no. 1, pp. 3-7. http://geodesic.mathdoc.fr/item/UZERU_2018_52_1_a0/