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Stochastic Integrals and Differential Equations

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Statistics of Financial Markets

Part of the book series: Universitext ((UTX))

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Abstract

This chapter provides the tools needed for option pricing. The field of stochastic processes in continuous time, which are defined as solutions of stochastic differential equations, has an important role to play. To illustrate these notions we use repeated approximations by stochastic processes in discrete time and refer to the results from Chapter 4.

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5.6 Recommended Literature

  • Karatzas, I. and Shreve, S. (1999). Brownian motion and stochastic calculus, Springer-Verlag, Heidelberg.

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  • Mikosch, T. (1998). Elementary stochastic calculus with finance in view, World Scientific, Singapore.

    MATH  Google Scholar 

  • von Weizsäcker, H. and Winkler, G. (1990). Stochastic integrals, Vieweg, Braunschweig.

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© 2008 Springer-Verlag Berlin Heidelberg

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(2008). Stochastic Integrals and Differential Equations. In: Statistics of Financial Markets. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76272-0_5

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