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Probability for Finance
A rigorous, unfussy introduction to modern probability theory that focuses squarely on applications in finance.
Ekkehard Kopp (Author), Jan Malczak (Author), Tomasz Zastawniak (Author)
9780521175579, Cambridge University Press
Paperback, published 21 November 2013
196 pages, 12 b/w illus. 150 exercises
22.8 x 15.2 x 1.2 cm, 0.3 kg
Students and instructors alike will benefit from this rigorous, unfussy text, which keeps a clear focus on the basic probabilistic concepts required for an understanding of financial market models, including independence and conditioning. Assuming only some calculus and linear algebra, the text develops key results of measure and integration, which are applied to probability spaces and random variables, culminating in central limit theory. Consequently it provides essential prerequisites to graduate-level study of modern finance and, more generally, to the study of stochastic processes. Results are proved carefully and the key concepts are motivated by concrete examples drawn from financial market models. Students can test their understanding through the large number of exercises and worked examples that are integral to the text.
Preface
1. Probability space
2. Probability distributions and random variables
3. Product measure and independence
4. Conditional expectation
5. Sequences of random variables
Index.
Subject Areas: Stochastics [PBWL], Probability & statistics [PBT], Finance & accounting [KF], Economic statistics [KCHS], Economics, finance, business & management [K]