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Special Topics in Financial Mathematics - MATH5995 | ||||||||||||||||||||||||||||||||||||||
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Description The goal of this course is to present the most important mathematical tools that are used for the arbitrage valuation of defaultable claims, which are commonly referred to as credit derivatives. First, we present the main developments within the structural approach to modelling and evaluation of credit risk. The next part of the course is devoted to the reduced-form approach. The approach is purely probabilistic in nature and closely related to reliability theory. A brief survey of practical methods that are currently used in modelling of dependent defaults and credit migrations is provided. The valuation and hedging of multi-name credit derivatives, such as: credit default index swaps and synthetic collateralized debt obligations, is discussed.
Pre-requisites: 24 units of level III mathematics or a degree in a numerate discipline or permission of the Head of Department. Note: Course not offered every year - contact the School for more information. |