Abstract
Black and Scholes [1973] approach to option price estimations and option trading brought about a great breakthrough in financial mathematics. Since Black and Scholes [1973], the standard model in financial mathematics has been the Geometric Brownian motion. In this model it is assumed that the asset’s log return has a normal distribution with volatility and drift terms. The model has proved to have very attractive features. However, from empirical study, geometrical Brownian motion cannot accurately reflect all behaviors of the stock quotation. The model has some limitations in price prediction, especially when used to model the price over short period of time. The study involves derivation of logistic Brownian motion with jump diffusion for a better study of the behavior of the underlying asset.
Citations
IRE Journals:
Andanje Mulambula
"Logistic Brownian Motion with Jumps" Iconic Research And Engineering Journals Volume 5 Issue 3 2021 Page 98-101
IEEE:
Andanje Mulambula
"Logistic Brownian Motion with Jumps" Iconic Research And Engineering Journals, 5(3)
About IRE Journals
IRE Journals is an open access online journals established with an aim to publish high quality of research work in various diciplines. We have more than 6 years in publications. Over 2500+ papers already published.
Important Links
For Authors
Volume 7:
Issue 1, Issue 2, Issue 3, Issue 4, Issue 5, Issue 6, Issue 7, Issue 8, Issue 9, Issue 10, Issue 11, Issue 12Volume 6:
Issue 1, Issue 2, Issue 3, Issue 4, Issue 5, Issue 6, Issue 7, Issue 8, Issue 9, Issue 10, Issue 11, Issue 12Volume 5:
Issue 1, Issue 2, Issue 3, Issue 4, Issue 5, Issue 6, Issue 7, Issue 8, Issue 9, Issue 10, Issue 11, Issue 12Volume 4:
Issue 1, Issue 2, Issue 3, Issue 4, Issue 5, Issue 6, Issue 7, Issue 8, Issue 9, Issue 10, Issue 11, Issue 12Volume 3:
Issue 1, Issue 2, Issue 3, Issue 4, Issue 5, Issue 6, Issue 7, Issue 8, Issue 9, Issue 10, Issue 11, Issue 12