Vyhledávat v databázi titulů je možné dle ISBN, ISSN, EAN, č. ČNB, OCLC či vlastního identifikátoru. Vyhledávat lze i v databázi autorů dle id autority či jména.
Projekt ObalkyKnih.cz sdružuje různé zdroje informací o knížkách do jedné, snadno použitelné webové služby. Naše databáze v tuto chvíli obsahuje 3298954 obálek a 1000196 obsahů českých a zahraničních publikací. Naše API využívá většina knihoven v ČR.
Introduction to the Mathematics of Finance (Graduate Studies in Mathematics)
Rok: 2006
ISBN: 9780821839034
OKCZID: 110204360
Citace (dle ČSN ISO 690):
WILLIAMS, R. J. Introduction to the mathematics of finance. Providence: American Mathematical Society, c2006. viii, 150 s. Graduate studies in mathematics, v. 72.
Hodnocení:
5.0 / 5
(6 hlasů)
Anotace
The modern subject of mathematical finance has undergone considerable development, both in theory and practice, since the seminal work of Black and Scholes appeared a third of a century ago. This book is intended as an introduction to some elements of the theory that will enable students and researchers to go on to read more advanced texts and research papers. The book begins with the development of the basic ideas of hedging and pricing of European and American derivatives in the discrete (i.e., discrete time and discrete state) setting of binomial tree models. Then a general discrete finite market model is introduced, and the fundamental theorems of asset pricing are proved in this setting. Tools from probability such as conditional expectation, filtration, (super)martingale, equivalent martingale measure, and martingale representation are all used first in this simple discrete framework. This provides a bridge to the continuous (time and state) setting, which requires the additional concepts of Brownian motion and stochastic calculus. The simplest model in the continuous setting is the famous Black-Scholes model, for which pricing and hedging of European and American derivatives are developed. The book concludes with a description of the fundamental theorems for a continuous market model that generalizes the simple Black-Scholes model in several directions.