1.

Record Nr.

UNINA9910554262703321

Autore

Mishura I︠U︡lii︠a︡ S.

Titolo

Discrete-time approximations and limit theorems : in applications to financial markets / / Yuliya Mishura, Kostiantyn Ralchenko

Pubbl/distr/stampa

Berlin, Germany : , : Walter de Gruyter GmbH, , [2022]

©2022

ISBN

3-11-065299-4

3-11-065424-5

Descrizione fisica

1 online resource (XVI, 374 p.)

Collana

De Gruyter series in probability and stochastics ; ; Volume 2

Classificazione

SK 980

Disciplina

003

Soggetti

Discrete-time systems

Finance - Mathematical models

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Frontmatter -- Introduction -- Contents -- Abbreviations and notations -- 1 Financial markets. From discrete to continuous time -- 2 Rate of convergence of asset and option prices -- 3 Limit theorems for markets with non-random time-varying coefficients -- 4 Convergence of stochastic integrals in application to financial markets -- A Essentials of calculus, probability, and stochastic processes -- Bibliography -- Index

Sommario/riassunto

Financial market modeling is a prime example of a real-life application of probability theory and stochastics. This authoritative book discusses the discrete-time approximation and other qualitative properties of models of financial markets, like the Black-Scholes model and its generalizations, offering in this way rigorous insights on one of the most interesting applications of mathematics nowadays.