TY - GEN UR - https://archiv.ub.uni-heidelberg.de/volltextserver/10970/ KW - kontinuierliche Zeitreihenanalysenonlinear time series analysis KW - nonstationary time series analysis KW - stochastic volatility KW - default probability KW - derivative pricing A1 - Surulescu, Nicolae Mircea AV - public ID - heidok10970 N2 - This thesis considers continuous-time series processes defined by classical stochastic differential equations and investigates some of their applications to mathematical finance with a focus on analytical approximations for some important financial quantities like derivative prices or firm default probability in a more complex and realistic framework than the one used by Black and Scholes (1973) and Merton (1973, 1974). In the first part some classes of continuous-time series models are introduced, which are further used to construct new financial models for asset and volatility dynamics. We illustrate some of them with the aid of simulation and estimation examples. In the second part of this thesis, we derive new results for derivative pricing and credit risk problems in stochastic volatility models driven by some continuous-time series processes. TI - On Some Classes of Continuous Time Series Models and Their Use in Financial Economics Y1 - 2010/// ER -