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Continuous-Time Finance Assignments
There are 2 major sections in this course. The first section is technical in nature and has to be completed before starting the second. It sheds some light on the modelling of financial challenges. It tackles Stochastic Calculus as a foundation for modelling the stochastic development of prices of assets, latent variables and interest rates.
By the conclusion of this first section, students must have understood stochastic differential and Ito’s Lemma equations. This requires that students adopt a positive attitude and formal reasoning capabilities. This section makes up almost 20% of the lecture content.
The second section discusses several classical continuous-time financial applications. There are 3 challenges that will be tackled: first will be pricing of options, structural credit risk models, and the optimal capital structure trade – off theory. Secondly there will be analysis of the portfolio theory and the illustration of anticipated asset returns in equilibrium.
The first 2 challenges above were the initial uses of the continuous-time finance methodology. The third challenge has to do with theories relating to the general equilibrium theory as formulated by Ross/Ingersoll/Cox, and the noarbitrage term structure theory.
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