Mathematical Finance: Theory Review and Exercises

Carlo SGARRA: Associate Professor of Mathematical Finance, Politecnico di Milano, Italia Emanuela ROSAZZA GIANIN: Associate Professor of Statistics and Quantitative Methods, University of Milano-Bicocca, Italia

• ​1 Short review of Probability and of Stochastic Processes.- 2 Portfolio Optimization in Discrete time Models.- 3 Binomial Model for Option Pricing.- 4 Absence of arbitrage and Completeness of market models.- 5 Itô’s Formula and Stochastic Differential Equations.- 6 Partial Differential Equations in Finance.- 7 Black-Scholes model for Option Pricing and Hedging Strategies.- 8 American Options.- 9 Exotic Options.- 10 Interest Rate Models.- 11 Pricing Models beyond Black-Scholes.- 12 Risk Measures: Value at Risk and beyond.

From the book reviews: "This work is a very useful companion volume to courses in mathematical finance, and it can also be successfully used for self-study." (Laszlo Imre Szabo, Acta Scientiarum Mathematicarum (Szeged), Vol. 80 (1-2), 2014)