Název:
Itôův a Stratonovičův stochastický integrál
Překlad názvu:
Itôův a Stratonovičův stochastický integrál
Autoři:
Voldán, Adam ; Hlubinka, Daniel (vedoucí práce) ; Dostál, Luboš (oponent) Typ dokumentu: Diplomové práce
Rok:
2009
Jazyk:
eng
Abstrakt: In this thesis the Ito stochastic integral and the Stratonovich stochastic integrals are studied. Their basic and some special properties are shown. Further the theory of the numerical solution of stochastic differential equations (SDE) is introduced. Using simple examples the properties of chosen numerical schemes are presented. Finally the Black-Scholes-Merton formula for pricing of European call option is sketched, and similar problems are numerically solved using the above presented algorithms.