Sumários

The Black-Scholes model

23 Novembro 2012, 10:00 João Guerra

The Black-Scholes model: replication of European call.

Advantages of the martingale approach.

State price de‡ator approach.

The Black-Scholes model with dividends.


Black-Scholes model

20 Novembro 2012, 10:00 João Guerra

The Black-Scholes model.

The Black-Scholes PDE and the Black-Scholes formulas.

The risk-neutral valuation formula and the five-step method for the Black-Scholes model.

The martingale approach to the valuation of derivatives.

The Delta hedging and the replicating portfolio.


Preliminary concepts and the five step method

16 Novembro 2012, 10:00 João Guerra

Preliminary concepts for continuous time models.

Equivalence of probability measures.

The Cameron-Martin-Girsanov theorem and the martingale representation theorem. 

The five step method for pricing and hedging in the Binomial model.

Black-Scholes model: assumptions and discussion of the realism of these assumptions.


Recombining binomial model

13 Novembro 2012, 10:00 João Guerra

Recombining binomial model.

Calibrating the binomial model.

The state-price deflator approach.


Binomial model

9 Novembro 2012, 10:00 João Guerra

The 2-period binomial model.