Servicios Personalizados
Revista
Articulo
Indicadores
- Citado por SciELO
- Accesos
Links relacionados
- Citado por Google
- Similares en SciELO
- Similares en Google
Compartir
Ingeniería y Ciencia
versión impresa ISSN 1794-9165
Resumen
MARIN-SANCHEZ, Freddy. Binomial tree for option valuation process derived from stochastic autonomous differential equation. ing.cienc. [online]. 2010, vol.6, n.12, pp.145-170. ISSN 1794-9165.
In this paper we propose a multiplicative generalized binomial trees recombination associated with the autonomous equation in terms of the initial condition and the product of non-constant upwards and downwards jumps from the discretized process. We present a formal technique for finding the dynamic transition probabilities involving the first two moments of the solution to the differential equation, which incorporate the factor of growth and volatility in terms of the parameters and the underlying process along its branching. Some experimental numerical results are shown for European option pricing for log- normal process and the processes of mean reversion with additive noise and proportional noise for different expiration dates.
Palabras clave : stochastic differential equations; binomial trees; transition probabilities; pricing of options.