A course in financial calculus PDF

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Finance provides a dramatic example of the successful application of advanced mathematical techniques to a practical problem : the pricing of financial derivatives. This self-contained text is designed fer first courses in financial Calculus aimed at students with a good background in mathematics. Key concepts such as martingales and change of measure are introduced in the discrete Lime framework, allowing an accessible account of Brownian motion and stochastic calculus : proofs in the continuons time world follow naturally. The Black-Scholes pricing formula is first derived in the simplest financial context. The second half of the book is then devoted to increasing the financial sophistication of the models and instruments. The final chapter introduces more advanced topics including stock price models with jumps, and stochastic volatility. A valuable feature is the large number of exercises and examples, designed to test technique and illustrate how the methods and concepts can be applied to realistic financial questions.

AUTEUR Alison Etheridge
DATE DE PUBLICATION 2002-Jan-01
TAILLE DU FICHIER 7,51 MB
NOM DE FICHIER A course in financial calculus.pdf

A Course in Financial Calculus Essay - 70787 Words

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A Course in Financial Calculus Alison Etheridge. The behavior of large economic systems is by necessity unpredictable, for if it was, then the making of speculative profit would be impossible. The movement of markets is modeled as an example of Brownian motion, which is a consequence of the random motion of molecules. This is a complex process, where the only hope to predict the future is to ...

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