## Abstract A way to estimate the value of an American exchange option when the underlying assets follow jump‐diffusion processes is presented. The estimate is based on combining a European exchange option and a Bermudan exchange option with two exercise dates by using Richardson extrapolation as p
Fractional diffusion models of option prices in markets with jumps
✍ Scribed by Álvaro Cartea; Diego del-Castillo-Negrete
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 285 KB
- Volume
- 374
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract The value of a contingent claim under a jump‐diffusion process satisfies a partial integro‐differential equation. A fourth‐order compact finite difference scheme is applied to discretize the spatial variable of this equation. It is discretized in time by an implicit‐explicit method. Mea
## Abstract This paper presents a simple empirical approach to modeling and forecasting market option prices using localized option regressions (LOR). LOR projects market option prices over localized regions of their state space and is robust to assumptions regarding the underlying asset dynamics (
In this work, the option pricing Black-Scholes model with dividend yield is investigated via Lie symmetry analysis. As a result, the complete Lie symmetry group and infinitesimal generators of the one-dimensional Black-Scholes equation are derived. On the basis of these infinitesimal generators, the
A model for option pricing of a (γ , 2H)-fractional Black-Merton-Scholes equation driven by the dynamics of a stock price S(t) satisfying (dS , where B H (t) is a fractional Brownian motion with Hurst exponent H ∈ (0, 1), is established. We obtain the explicit option pricing formulas for the Europe