An Introduction to Financial Mathematics in Continuous Time

In stochastic analysis in continuous time one usually considers R+ instead of N as the index set describing time, i.e at every time point t R one observes a random variable Xt. Whereas in discrete time one í dealing with random sequences X(t): N - R, in continuous time one is workng with stochastic functions X(t): R+ - R. Thuogh many results obtained in discrete time have a continuous time analogue we have to modify several notions and results