This second edition - completely up to date with new exercises -
provides a comprehensive and self-contained treatment of the
probabilistic theory behind the risk-neutral valuation principle and its
application to the pricing and hedging of financial derivatives. On the
probabilistic side, both discrete- and continuous-time stochastic
processes are treated, with special emphasis on martingale theory,
stochastic integration and change-of-measure techniques. Based on firm
probabilistic foundations, general properties of discrete- and
continuous-time financial market models are discussed.