# name
An introduction to the mathematical cornerstone of financial derivatives

# metadata.dc.description[].value
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Josep Vives i Santa Eulàlia i Oriol Roch

# metadata.dc.description.abstract[].value
[en] There are several paths that lead to the Black-Scholes formula. This project discusses two of them.
Chapters 2 and 3 depart from the discrete Cox-Ross-Rubinstein model of prices and reveal the Black-Scholes formula for European calls and puts.
Chapters 4 and 5 go one step further by considering since inception the continuous modelling of prices, in which a new concept of integral must be defined in order to formulate the Black-Scholes hypotheses from a stochastical point of view.
The project ends up debating the uses of derivatives and the appropriateness of the Black-Scholes model in the real world. Moreover, the annex contains Numerical Methods that implement the models covered in this project.

# metadata.dc.rights[].value
cc-by-nc-nd (c) Adrià Morera Morales, 2019

# metadata.dc.source[].value
Treballs Finals de Grau (TFG) - Matemàtiques

# metadata.dc.title[].value
An introduction to the mathematical cornerstone of financial derivatives