Abstract
This chapter gives an intuitive appreciation and review of many important aspects of the stochastic processes that have been used to model asset price processes. We will be interested in a probabilistic description of the time evolution of asset prices. After imposing some structure on the stochastic process for the return on the asset, this chapter introduces Markov processes, time evolution of conditional probabilities, continuous sample paths, and the Fokker–Planck and Kolmogorov equations.
Original language | English |
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Title of host publication | Dynamic Modeling and Econometrics in Economics and Finance |
Publisher | Springer Science and Business Media Deutschland GmbH |
Pages | 7-36 |
Number of pages | 30 |
DOIs | |
Publication status | Published - 2015 |
Externally published | Yes |
Publication series
Name | Dynamic Modeling and Econometrics in Economics and Finance |
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Volume | 21 |
ISSN (Print) | 1566-0419 |
ISSN (Electronic) | 2363-8370 |
Keywords
- Asset Price
- Current Price
- Option Price
- Planck Equation
- Sample Path
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Chiarella, C., He, X. Z., & Nikitopoulos, C. S. (2015). Stochastic Processes for Asset Price Modelling. In Dynamic Modeling and Econometrics in Economics and Finance (pp. 7-36). (Dynamic Modeling and Econometrics in Economics and Finance; Vol. 21). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-662-45906-5_2