This course, following Advanced Topics in Mathematical Finance A, will explain global investment strategies making use of mathematical finance.
By the end of this course, students will know how to build a stochastic process model of asset returns using probabilistic analysis and solve the problem of maximizing expected utility using the discrete time model and the continuous time model.
International investment strategies, optimal portfolio strategies, Asset-Liability Managements, maximization of expected utilities, stochastic differential equations, stochastic flows, Malliavin Calculus.
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
This course consists of learning using blackboards and distributed materials.
Course schedule | Required learning | |
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Class 1 | Stochastic process models for asset returns | Details will be provided in each class session. |
Class 2 | Optimal portfolio strategies: discrete-time models | |
Class 3 | Optimal portfolio strategies: continuous-time models (1) | |
Class 4 | Stochastic differential equations and stochastic flows (1) | |
Class 5 | Stochastic differential equations and stochastic flows (2) | |
Class 6 | Malliavin Calculus (1) | |
Class 7 | Malliavin Calculus (2) | |
Class 8 | Optimal portfolio strategies: continuous-time models (2) |
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Based on reports. Details will be provided in class.
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