
Contents
1 Introductory concepts of Financial Risk Management and
Related Mathematical Tools 1
1.1 Introductory concepts of the securities market . . . . . . . . 1
1.2 Probabilistic foundations of financial modeling and pricing of
contingentclaims ........................ 4
1.3 Elements of probability theory and stochastic analysis . . . . 12
2 Financial Risk Management in the Binomial Model 33
2.1 The binomial model of a financial market. Absence of arbitrage,
uniqueness of a risk-neutral probability measure, martingale
representation. .......................... 33
2.2 Hedging contingent claims in the binomial market model. The
Cox-Ross-Rubinsteinformu