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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.