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American-type options. Vol. 1, Stochastic approximation methods /

This book gives a systematical presentation of stochastic approximation methods for models of American-type options with general pay-off functions for discrete time Markov price processes. It is the first volume of the comprehensive two volumes monograph.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Silʹvestrov, D. S. (Dmitriĭ Sergeevich)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : De Gruyter, ©2014.
Colección:De Gruyter studies in mathematics ; 56.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a American-type options.  |n Vol. 1,  |p Stochastic approximation methods /  |c Dmitrii S. Silverstrov. 
246 3 0 |a Stochastic approximation methods 
260 |a Berlin ;  |a Boston :  |b De Gruyter,  |c ©2014. 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a De Gruyter studies in mathematics ;  |v v. 56 
500 |a Print version cataloged as a monographic set by Library of Congress. 
588 0 |a Online resource; title from digital title page (viewed on Jan. 15, 2014). 
505 0 |a Preface; 1 Multivariate modulated Markov log-price processes (LPP); 1.1 Markov LPP; 1.2 LPP represented by random walks; 1.3 Autoregressive LPP; 1.4 Autoregressive stochastic volatility LPP; 2 American-type options; 2.1 American-type options; 2.2 Pay-off functions; 2.3 Reward and log-reward functions; 2.4 Optimal stopping times; 2.5 American-type knockout options; 3 Backward recurrence reward algorithms; 3.1 Binomial tree reward algorithms; 3.2 Trinomial tree reward algorithms; 3.3 Random walk reward algorithms; 3.4 Markov chain reward algorithms; 4 Upper bounds for option rewards. 
505 8 |a 4.1 Markov LPP with bounded characteristics4.2 LPP represented by random walks; 4.3 Markov LPP with unbounded characteristics; 4.4 Univariate Markov Gaussian LPP; 4.5 Multivariate modulated Markov Gaussian LPP; 5 Convergence of option rewards -- I; 5.1 Asymptotically uniform upper bounds for rewards -- I; 5.2 Modulated Markov LPP with bounded characteristics; 5.3 LPP represented by modulated random walks; 6 Convergence of option rewards -- II; 6.1 Asymptotically uniform upper bounds for rewards -- II; 6.2 Univariate modulated LPP with unbounded characteristics. 
505 8 |a 6.3 Asymptotically uniform upper bounds for rewards -- III6.4 Multivariate modulated LPP with unbounded characteristics; 6.5 Conditions of convergence for Markov price processes; 7 Space-skeleton reward approximations; 7.1 Atomic approximation models; 7.2 Univariate Markov LPP with bounded characteristics; 7.3 MultivariateMarkov LPP with bounded characteristics; 7.4 LPP represented by multivariate modulated random walks; 7.5 MultivariateMarkov LPP with unbounded characteristics; 8 Convergence of rewards for Markov Gaussian LPP; 8.1 Univariate Markov Gaussian LPP. 
505 8 |a 8.2 Multivariate modulated Markov Gaussian LPP8.3 Markov Gaussian LPP with estimated characteristics; 8.4 Skeleton reward approximations for Markov Gaussian LPP; 8.5 LPP represented by Gaussian random walks; 9 Tree-type approximations for Markov Gaussian LPP; 9.1 Univariate binomial tree approximations; 9.2 Multivariate binomial tree approximations; 9.3 Multivariate trinomial tree approximations; 9.4 Inhomogeneous in space binomial approximations; 9.5 Inhomogeneous in time and space trinomial approximations; 10 Convergence of tree-type reward approximations. 
505 8 |a 10.1 Univariate binomial tree approximation models10.2 Multivariate homogeneous in space tree models; 10.3 Univariate inhomogeneous in space tree models; 10.4 Multivariate inhomogeneous in space tree models; Bibliographical Remarks; Bibliography; Index. 
520 |a This book gives a systematical presentation of stochastic approximation methods for models of American-type options with general pay-off functions for discrete time Markov price processes. It is the first volume of the comprehensive two volumes monograph. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Options (Finance)  |x Mathematical models. 
650 0 |a Stochastic approximation. 
650 0 |a Markov processes. 
650 2 |a Markov Chains 
650 6 |a Options (Finances)  |x Modèles mathématiques. 
650 6 |a Approximation stochastique. 
650 6 |a Processus de Markov. 
650 7 |a Markov processes  |2 fast 
650 7 |a Options (Finance)  |x Mathematical models  |2 fast 
650 7 |a Stochastic approximation  |2 fast 
653 |a American Option. 
653 |a Approximation Algorithm. 
653 |a Convergence of Rewards. 
653 |a Markov Chain. 
653 |a Optimal Stopping. 
758 |i has work:  |a American-type options (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGG8j7qxRcBfVHW3V9Gcrm  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Silvestrov, Dmitrii S.  |t American-Type Options : Stochastic Approximation Methods, Volume 1.  |d Berlin : De Gruyter, ©2013  |z 9783110329674 
830 0 |a De Gruyter studies in mathematics ;  |v 56. 
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