# Brownian Motion Calculus

## Ubbo F. Wiersema

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Brownian Motion Calculus presents the basics of Stochastic Calculus with a focus on the valuation of financial derivatives. It is intended as an accessible introduction to the technical literature. A clear distinction has been made between the mathematics that is convenient for a first introduction, and the more rigorous underpinnings which are best studied from the selected technical references. The inclusion of fully worked out exercises makes the book attractive for self study. Standard probability theory and ordinary calculus are the prerequisites.  Summary slides for revision and teaching can be found on the book website.

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Brownian Motion Calculus

Ubbo Wiersema

Brownian Motion Calculus presents the basics of Stochastic Calculus with a focus on the valuation of financial derivatives. It is intended as an accessible introduction to the technical literature. The sequence of chapters starts with a description of Brownian motion, the random process which serves as the basic driver of the irregular behaviour of financial quantities. That exposition is based on the easily understood discrete random walk. Thereafter the gains from trading in a random environment are formulated in a discrete-time setting. The continuous-time equivalent requires a new concept, the Itō stochastic integral. Its construction is explained step by step, using the so-called norm of a random process (its magnitude), of which a motivated exposition is given in an Annex. The next topic is Itō’s formula for evaluating stochastic integrals; it is the random process counter part of the well known Taylor formula for functions in ordinary calculus. Many examples are given. These ingredients are then used to formulate some well established models for the evolution of stock prices and interest rates, so-called stochastic differential equations, together with their solution methods. Once all that is in place, two methodologies for option valuation are presented. One uses the concept of a change of probability and the Girsanov transformation, which is at the core of financial mathematics. As this technique is often perceived as a magic trick, particular care has been taken to make the explanation elementary and to show numerous applications. The final chapter discusses how computations can be made more convenient by a suitable choice of the so-called numeraire. A clear distinction has been made between the mathematics that is convenient for a first introduction, and the more rigorous underpinnings which are best studied from the selected technical references. The inclusion of fully worked out exercises makes the book attractive for self study. Standard probability theory and ordinary calculus are the prerequisites. Summary slides for revision and teaching can be found on the book website www.wiley.com/go/brownianmotioncalculus.

UBBO WIERSEMA was educated in Applied Mathematics at Delft, in Operations Research at Berkeley, and in Financial Economics and Financial Mathematics at the London School of Economics. He joined The Business School for Financial Markets (the ICMA Centre) at the University of Reading, UK, in 1997, to develop and teach its curriculum in Quantitative Finance. Prior to that, he was a derivatives mathematician at the merchant bank Robert Fleming in the City of London. Before that his career was focused in Operations Research in the US and Europe.

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## 1.Brownian Motion Calculus (Paperback)

Editorial: John Wiley and Sons Ltd, United Kingdom (2008)
ISBN 10: 0470021705 ISBN 13: 9780470021705
Nuevos Paperback Primera edición Cantidad: 10
Librería
The Book Depository
(London, Reino Unido)
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Descripción John Wiley and Sons Ltd, United Kingdom, 2008. Paperback. Estado de conservación: New. 1. Auflage. Language: English . Brand New Book. Brownian Motion Calculus presents the basics of Stochastic Calculus with a focus on the valuation of financial derivatives. It is intended as an accessible introduction to the technical literature. A clear distinction has been made between the mathematics that is convenient for a first introduction, and the more rigorous underpinnings which are best studied from the selected technical references. The inclusion of fully worked out exercises makes the book attractive for self study. Standard probability theory and ordinary calculus are the prerequisites. Summary slides for revision and teaching can be found on the book website. Nº de ref. de la librería AAZ9780470021705

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## 2.Brownian Motion Calculus (Paperback)

Editorial: John Wiley and Sons Ltd, United Kingdom (2008)
ISBN 10: 0470021705 ISBN 13: 9780470021705
Nuevos Paperback Primera edición Cantidad: 10
Librería
The Book Depository US
(London, Reino Unido)
Valoración

Descripción John Wiley and Sons Ltd, United Kingdom, 2008. Paperback. Estado de conservación: New. 1. Auflage. Language: English . Brand New Book. Brownian Motion Calculus presents the basics of Stochastic Calculus with a focus on the valuation of financial derivatives. It is intended as an accessible introduction to the technical literature. A clear distinction has been made between the mathematics that is convenient for a first introduction, and the more rigorous underpinnings which are best studied from the selected technical references. The inclusion of fully worked out exercises makes the book attractive for self study. Standard probability theory and ordinary calculus are the prerequisites. Summary slides for revision and teaching can be found on the book website. Nº de ref. de la librería AAZ9780470021705

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## 3.Brownian Motion Calculus

Editorial: Wiley 2008-04-15, Chichester (2008)
ISBN 10: 0470021705 ISBN 13: 9780470021705
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Blackwell's
(Oxford, OX, Reino Unido)
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Descripción Wiley 2008-04-15, Chichester, 2008. paperback. Estado de conservación: New. Nº de ref. de la librería 9780470021705

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## 4.Brownian Motion Calculus

Editorial: John Wiley & Sons 2008-08-01 (2008)
ISBN 10: 0470021705 ISBN 13: 9780470021705
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(Wallingford, Reino Unido)
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Descripción John Wiley & Sons 2008-08-01, 2008. Paperback. Estado de conservación: New. Nº de ref. de la librería NU-GRD-00656700

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## 5.Brownian Motion Calculus

Editorial: John Wiley and#38; Sons (2008)
ISBN 10: 0470021705 ISBN 13: 9780470021705
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Books2Anywhere
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Descripción John Wiley and#38; Sons, 2008. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería FW-9780470021705

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## 6.Brownian Motion Calculus

Editorial: John Wiley and Sons Ltd
ISBN 10: 0470021705 ISBN 13: 9780470021705
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THE SAINT BOOKSTORE
(Southport, Reino Unido)
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Descripción John Wiley and Sons Ltd. Paperback. Estado de conservación: new. BRAND NEW, Brownian Motion Calculus, Ubbo F. Wiersema, Brownian Motion Calculus presents the basics of Stochastic Calculus with a focus on the valuation of financial derivatives. It is intended as an accessible introduction to the technical literature. A clear distinction has been made between the mathematics that is convenient for a first introduction, and the more rigorous underpinnings which are best studied from the selected technical references. The inclusion of fully worked out exercises makes the book attractive for self study. Standard probability theory and ordinary calculus are the prerequisites. Summary slides for revision and teaching can be found on the book website. Nº de ref. de la librería B9780470021705

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## 7.Brownian Motion Calculus (Paperback)

ISBN 10: 0470021705 ISBN 13: 9780470021705
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Speedy Hen LLC
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Descripción Estado de conservación: New. Bookseller Inventory # ST0470021705. Nº de ref. de la librería ST0470021705

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## 8.Brownian Motion Calculus

Editorial: John Wiley and Sons Ltd (2008)
ISBN 10: 0470021705 ISBN 13: 9780470021705
Nuevos Tapa blanda Primera edición Cantidad: 15
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Valoración

Descripción John Wiley and Sons Ltd, 2008. Estado de conservación: New. 2008. 1st Edition. Paperback. There are not many calculus books that are very accessible to students without a strong mathematical background and the large majority of financial derivatives students do not have a strong quantitative background. This book provides a short introduction to the subject with examples of its use in mathematical finance e. g pricing of derivatives. Num Pages: 330 pages, Illustrations. BIC Classification: PDE; PHF. Category: (P) Professional & Vocational. Dimension: 157 x 231 x 19. Weight in Grams: 488. . . . . . . Nº de ref. de la librería V9780470021705

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## 9.Brownian Motion Calculus

ISBN 10: 0470021705 ISBN 13: 9780470021705
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97804700217050000000

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## 10.Brownian Motion Calculus

Editorial: John Wiley & Sons (2008)
ISBN 10: 0470021705 ISBN 13: 9780470021705
Nuevos Tapa blanda Primera edición Cantidad: 16
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Ria Christie Collections
(Uxbridge, Reino Unido)
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Descripción John Wiley & Sons, 2008. Estado de conservación: New. book. Nº de ref. de la librería ria9780470021705_rkm

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