Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на этот ресурс:
http://hdl.handle.net/11701/19393
Полная запись метаданных
Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Kashtanov, Yuriy N. | - |
dc.contributor.author | Fedyaev, Igor P. | - |
dc.date.accessioned | 2020-09-10T13:44:44Z | - |
dc.date.available | 2020-09-10T13:44:44Z | - |
dc.date.issued | 2020-09 | - |
dc.identifier.citation | Kashtanov Yu. N., Fedyaev I. P. Stochastic mesh method for optimal stopping problems. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 3, pp. 425–434. | en_GB |
dc.identifier.other | https://doi.org/10.21638/spbu01.2020.306 | - |
dc.identifier.uri | http://hdl.handle.net/11701/19393 | - |
dc.description.abstract | The stochastic mesh method for solving a multidimensional optimal stopping problem for a diffusion process with non-linear payoff is considered. To solve the problem in the case of payoff for an Asian option with geometric average we provide a special discretization scheme for the diffusion process. This sampling scheme allows one to get rid of singularities in transition probabilities. Then, we consider transition probabilities of a stochastic mesh defined as averaged densities. Two estimates of the solution to the problem by the stochastic mesh method are given. The consistency of the defined estimates is proved. It is shown that the variance of the solution estimates is inversely proportional to the number of points in each mesh layer. The result extends the application area of the stochastic mesh method. A numerical example of the result is presented. We applying estimates to the call and put options compared to the option prices obtained through the regular mesh. | en_GB |
dc.description.sponsorship | This study was supported by the Russian Foundation for Basic Research, projects No 17-01-00267 and 20-01-00011. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 7 (65); Issue 3 | - |
dc.subject | optimal stopping | en_GB |
dc.subject | stochastic mesh | en_GB |
dc.subject | Asian option with geometric average | en_GB |
dc.title | Stochastic mesh method for optimal stopping problems | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 3 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
---|---|---|---|---|
425-434.pdf | 304,8 kB | Adobe PDF | Просмотреть/Открыть |
Все ресурсы в архиве электронных ресурсов защищены авторским правом, все права сохранены.