Titlebook: Mathematical Finance: Theory Review and Exercises; From Binomial Model Emanuela Rosazza Gianin,Carlo Sgarra Textbook 2013 Springer Interna

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Emanuela Rosazza Gianin,Carlo Sgarra brain regions, this book provides indispensable knowledge for many areas of neuroscience and for experimental and clinical applications of adult neurogenesis to brain therapy. .978-4-431-54727-3978-4-431-53933-9

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978-3-319-01356-5Springer International Publishing Switzerland 2013

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Short review of Probability and of Stochastic Processes,Given a probability space (., ., .), where . denotes a non-empty set, . a .-algebra and . a probability measure on .:

Obligatory

Binomial Model for Option Pricing,In the following, we consider a market model where a non-risky asset (called .) and a risky asset (called .) are available. The bond price is denoted by ., while the stock price is denoted by ..

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Absence of Arbitrage and Completeness of Market Models,In the following, we recall the notions of arbitrage, completeness and option pricing in quite general one-period (or multi-period) market models, but always based on a finite sample space.

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,It?’s Formula and Stochastic Differential Equations,Given a stochastic process (..). having trajectories with bounded variation and a sufficiently regular function ., it is possible to define the integral of .. = .(..) with respect to .. as follows . i.e. in the sense of a Riemann-Stieltjes integral.

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Partial Differential Equations in Finance,Let . be a function of several real variables (., .., .., …, ..):