- Tytuł:
- A fuzzy approach to option pricing in a Levy process setting
- Autorzy:
-
Nowak, P.
Romaniuk, M. - Powiązania:
- https://bibliotekanauki.pl/articles/330572.pdf
- Data publikacji:
- 2013
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
option pricing
Lévy process
minimal entropy
martingale measure
fuzzy sets
Monte Carlo simulation
wycena opcji
entropia minimalna
zbiór rozmyty
symulacja Monte Carlo - Opis:
- In this paper the problem of European option valuation in a Levy process setting is analysed. In our model the underlying asset follows a geometric Levy process. The jump part of the log-price process, which is a linear combination of Poisson processes, describes upward and downward jumps in price. The proposed pricing method is based on stochastic analysis and the theory of fuzzy sets.We assume that some parameters of the financial instrument cannot be precisely described and therefore they are introduced to the model as fuzzy numbers. Application of fuzzy arithmetic enables us to consider various sources of uncertainty, not only the stochastic one. To obtain the European call option pricing formula we use the minimal entropy martingale measure and Levy characteristics.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2013, 23, 3; 613-622
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł