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Stochastic calculus for finance / Marek Capiński, Ekkehard Kopp, Janusz Traple

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Mastering mathematical financePublisher: Cambridge : Cambridge University Press, 2012Description: 1 Online-Ressource (vii, 177 pages) : digital, PDF file(s)ISBN:
  • 9781139017367
Subject(s): Additional physical formats: 9781107002647. | 9780521175739. | Erscheint auch als: 9781107002647 Druck-AusgabeDDC classification:
  • 332.01/51922 23
MSC: MSC: *91-01 | 60-01 | 60G05 | 60J65 | 60H05 | 60H10 | 60G44LOC classification:
  • HG106
DOI: DOI: 10.1017/CBO9781139017367Online resources: Summary: This book focuses specifically on the key results in stochastic processes that have become essential for finance practitioners to understand. The authors study the Wiener process and Itô integrals in some detail, with a focus on results needed for the Black–Scholes option pricing model. After developing the required martingale properties of this process, the construction of the integral and the Itô formula (proved in detail) become the centrepiece, both for theory and applications, and to provide concrete examples of stochastic differential equations used in finance. Finally, proofs of the existence, uniqueness and the Markov property of solutions of (general) stochastic equations complete the book. Using careful exposition and detailed proofs, this book is a far more accessible introduction to Itô calculus than most texts. Students, practitioners and researchers will benefit from its rigorous, but unfussy, approach to technical issues. Solutions to the exercises are available onlinePPN: PPN: 883333503Package identifier: Produktsigel: ZDB-20-CTM | ZDB-20-CBO | ZDB-20-CHS | ZDB-20-CEC
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