Useful for mathematicians interested in the methods of modern mathematical finance without prior knowledge of advanced stochastic analysis, this book contains lecture notes which start with an elementary approach to stochastic calculus due to Follmer, who showed that one can develop Ito's...

It is widely acknowledged that many financial markets exhibit a considerably greater degree of kurtosis (and sometimes also skewness) than is consistent with the Geometric Brownian Motion model of Black and Scholes (1973). Among the many alternative models that have been proposed in this...