2009Mathematical FinanceRequires access

Stochastic or Itô Calculus

Jacques Janssen, Raimondo Manca, Ernesto Volpe di Prignano

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Abstract

This chapter contains sections titled: Problem of stochastic integration Stochastic integration of simple predictable processes and semi-martingales General definition of the stochastic integral Itô's formula Stochastic integral with standard Brownian motion as integrator process Stochastic differentiation Back to Itô's formula Stochastic differential equations Diffusion processes

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This chapter contains sections titled: Problem of stochastic integration Stochastic integration of simple predictable processes and semi-martingales General definition of the stochastic integral Itô's formula Stochastic integral with standard Brownian motion as integrator process Stochastic differentiation Back to Itô's formula Stochastic differential equations Diffusion processes

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Available abstract

This chapter contains sections titled: Problem of stochastic integration Stochastic integration of simple predictable processes and semi-martingales General definition of the stochastic integral Itô's formula Stochastic integral with standard Brownian motion as integrator process Stochastic differentiation Back to Itô's formula Stochastic differential equations Diffusion processes

Key concepts: Stochastic calculus, Stochastic differential equation, Stratonovich integral, Continuous-time stochastic process, Integrator, Mathematics, Malliavin calculus, Geometric Brownian motion

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