Sumários

Exam problems

22 Maio 2019, 12:30 João Guerra

Discussion of exam problems.


Exercises

20 Maio 2019, 10:00 João Guerra

Discussion of exercises and exam problems. 


Black-Scholes formula and exercises

15 Maio 2019, 12:30 João Guerra

Derivation of the Black-Scholes formula for a call option. 

Exercises about the application of the risk-neutral valuation formula and about the price dynamics under the equivalent martingale measure Q. 


Black-Scholes model and risk neutral valuation

13 Maio 2019, 10:00 João Guerra

Derivation of the Black-Scholes PDE using a replication portfolio. The Delta and the replication portfolio. 

The Feynman-Kac formula, the Girsanov theorem and the derivation of the risk neutral valuation formula for pricing options and financial derivatives.

Example: the log contract. 


The Girsanov Theorem. Introduction to Black-Scholes model

8 Maio 2019, 12:30 João Guerra

Changes of measures and equivalent measures. 

The Girsanov Theorem - Versions 1 and 2. 

Introduction to Black-Scholes model. 

Derivation of the Black-Scholes PDE using portfolios based on derivative contracts and shares of stock.