Option pricing model based on a Markov-modulated diffusion with jumps
The paper proposes a class of financial market models which are based on inhomogeneous telegraph processes and jump diffusions with alternating volatilities. It is assumed that the jumps occur when the tendencies and volatilities are switching. Such a model captures well the stock price dynamics und...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2010
- Institución:
- Universidad del Rosario
- Repositorio:
- Repositorio EdocUR - U. Rosario
- Idioma:
- eng
- OAI Identifier:
- oai:repository.urosario.edu.co:10336/23606
- Acceso en línea:
- https://doi.org/10.1214/09-BJPS037
https://repository.urosario.edu.co/handle/10336/23606
- Palabra clave:
- Markov-modulated diffusion
Option pricing
Telegraph process
- Rights
- License
- Abierto (Texto Completo)
| Summary: | The paper proposes a class of financial market models which are based on inhomogeneous telegraph processes and jump diffusions with alternating volatilities. It is assumed that the jumps occur when the tendencies and volatilities are switching. Such a model captures well the stock price dynamics under periodic financial cycles. The distribution of this process is described in detail.We also provide a closed form of the structure of risk-neutral measures. This incomplete model can be completed by adding another asset based on the same sources of randomness. For completed market model we obtain explicit formulae for call prices. © 2010, Brazilian Statistical Association. All rights reserved. |
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