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ISCTE-IUL  >  Education  >  MMF

Stochastic Calculus in Finance II (2 º Sem 2019/2020)

Code: M7603
Acronym: M7603
Level: 2nd Cycle
Basic: No
Teaching Language(s): Portuguese
Friendly languages:
Be English-friendly or any other language-friendly means that UC is taught in a language but can either of the following conditions:
1. There are support materials in English / other language;
2. There are exercises, tests and exams in English / other language;
3. There is a possibility to present written or oral work in English / other language.
1 7.0 20.0 h/sem 12.0 h/sem 0.0 h/sem 0.0 h/sem 0.0 h/sem 0.0 h/sem 0.0 h/sem 32.0 h/sem 164.0 h/sem 0.0 h/sem 196.0 h/sem
Since year 2019/2020
Pre-requisites No
Objectives Knowledge of the main mathematical models for pricing financial derivatives.
Program 1. Discrete-time models.
2. The Cox-Ross-Rubinstein model.
3. Optimal stopping and American options.
4. The Black-Scholes model.
Evaluation Method Regular grading system:
- One individual exam
Students that fail or want to improve their grade in the regular grading system have one additional moment to pass: a re-sit exam, that is worth 100% of the final grade.
In any of the evaluation systems (regular or re-sit exam) it is considered that a student has course approval if he has a grade equal or above 9.5 points.
Teaching Method The student should acquire analytical, information gathering, written and oral communication skills, through the following learning methodologies (LM):
1. Expositional, to the presentation of the theoretical reference frames
2. Participative, with analysis and resolution of application exercises
3. Active, with the realization of individual works
4. Self-study, related with autonomous work by the student, as is contemplated in the Class Planning.
Observations
Basic Bibliographic - Isabel Simão, Cálculo Estocástico em Finanças II, Texto de apoio às aulas, 2006.
Complementar Bibliographic -D. Lamberton and B. Lapeyre, Stochastic Calculus Applied to Finance, Chapman and Hall/CRC, 1996.
-T. Björk, Arbitrage Theory in Continuous Time, Oxford University Press, 1998.
- A. Etheridge, A Course in Financial Calculus, Cambridge University Press, 2002.
- M. Musiela e M. Rutkowski, Martingale Methods in Financial Modelling, Springer-Verlag, 1998.