Arbitrage conditions with no short selling
- 1 Departamento de Matemáticas Aplicadas Facultad de Ciencias Matemáticas Universidad Complutense de Madrid
ISSN: 2357-6529, 0120-0380
Any de publicació: 2012
Volum: 19
Número: 1
Pàgines: 37-54
Tipus: Article
Altres publicacions en: Boletín de matemáticas
Resum
A key assumption to prove the Fundamental Theorem of Mathematical Finance is the possibility of short selling the risky assets of the market. In this article we exhibit a simple geometric condition to handle the arbitrage opportunities when short selling is not possible. Moreover, this approach provides a pedagogical tool to visualize the consistency of the model when shorting is allowed for only some of the assets. Some examples are presented, both in analytical and graphical ways.