Opções e Modelos de Estrutura Temporal de Taxa de Juro
Code
11583
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Matemática
Credits
6.0
Teacher in charge
Pedro José dos Santos Palhinhas Mota
Weekly hours
4
Total hours
68
Teaching language
Português
Objectives
The objective of this discipline is to introduce and analyze a diverse set of financial products, completing the necessary development for a total qualification of the students with the necessary tools for their study. The mathematical models underlying the pricing and coverage problems will be revisited and contextualized.
Prerequisites
Knowledge of Measurement Theory, Stochastic Processes and Stochastic Calculus.
Subject matter
- Pricing of Derivative Products
- Complete Markets and Hedging
- Dividends, Foreign Exchange Rates and Exotic Options
- Bonds and Interest Rates
- Short Rate Models
Bibliography
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Bjork, T., Arbitrage, Theory in Continuous Time. Oxford University Press, 2009.
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Duffie, D., Dynamic Asset Pricing Theory. Princeton University Press, 2001.
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Lamberton, D. and Lapeyre, B., Introduction to Stochastic Calculus Applied to Finance. Second Edition, Chapman & Hall CRC, 2008.
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Shreve, S.E., Stochastic CalcuIus for Finance I & II. Springer, 2004.
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Ross, S.M., An Elementary Introduction to Mathematical Finance. Cambridge University Press, 2011.
Teaching method
Classes work in a practical theoretical regime.
In the classes the theoretical concepts are exposed, some demonstrations are carried out simultaneously illustrating their application through examples and exercises.
A substantial part of the study is done in the student''s autonomy, with the aid of notes and other bibliographical supports, and with the support of teachers to clarify doubts at pre-established times.
Evaluation method
The evaluation is carried out by carrying out individual assignments on the form of a written report, with the possibility of conducting tests.