TITLE:
Recent Developments in Option Pricing
AUTHORS:
Hui Gong, You Liang, Aerambamoorthy Thavaneswaran
KEYWORDS:
Stochastic Volatility, Black-Scholes Partial Differential Equations, Option Pricing, Monte Carlo
JOURNAL NAME:
Journal of Mathematical Finance,
Vol.1 No.3,
November
25,
2011
ABSTRACT: In this paper, we investigate recent developments in option pricing based on Black-Scholes processes, pure jump processes, jump diffusion process, and stochastic volatility processes. Results on Black-Scholes model with GARCH volatility (Gong, Thavaneswaran and Singh [1]) and Black-Scholes model with stochastic volatility (Gong, Thavaneswaran and Singh [2]) are studied. Also, recent results on option pricing for jump diffusion processes, partial differential equation (PDE) method together with FFT (fast Fourier transform) approximations of Pillay and O’ Hara [3] and a recently proposed method based on moments of truncated lognormal distribution (Thavaneswaran and Singh [4]) are also discussed in some detail.