Back to Search
Start Over
Distinguished limits of Lévy-Stable processes, and applications to option pricing
- Source :
- e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid, instname
- Publication Year :
- 2003
-
Abstract
- In this paper we derive analytic expressions for the value of European Put and Call options when the stock process follows an exponential Lévy-Stable process. It is shown that the generalised Black-Scholes operator for the Lévy-Stable case can be obtained as an asymptotic approximation of a process where the random variable follows a Damped- Lévy process. Finally, it is also shown that option prices under the Lévy-Stable case generate the volatility smile encountered in the financial markets when the Black-Scholes framework is employed The first author acknowledges financial support from JP Morgan
Details
- Database :
- OpenAIRE
- Journal :
- e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid, instname
- Accession number :
- edsair.dedup.wf.001..4a8c4fb65575df60519876e9392ef887