In this work, we apply He’s variotional iteration method for obtaining analytic solutions to nonlinear Black-Scholes equation with boundary conditions for European option pricing problem. The analytical solution of the equation is calculated in the form a convergent power series with easily computable components. The powerful VIM method is capable of handling both linear and non-linear equation...

In this paper, we studythe option pricing problem,one of the prominent and challenging problems in computational finance. Using Pade approximation,we have developed a second order L0 stable discrete parallel algorithm for experimentation on advanced architectures. This algorithm is suitable for more complicated option pricing problems. For simulation purposes, we have implemented thesequential ...

we derive closed formulas for the prices of european options andtheir sensitivities when the underlying asset follows a double-exponentialjump diffusion model, as considered by s. kou in 2002. this author hasderived the option price by making use of double series where each termrequires the computation of a sequence of special functions, such thatthe implementation remains difficult for a large...

introduction: risk is an essential component in the production and sale of agricultural products. due to the nature of agricultural products, the people who act in this area including farmers and businesspersons encounter unpredictable fluctuations of prices. on the other hand, the firms that process agricultural products also face fluctuation of price of agricultural inputs. given that the can...

Background material on measure-theoretic probability theory and stochastic calculus is provided in order to clarify notation and inform the reader unfamiliar with these concepts. These fields are then employed in exploring two distinct but related approaches to fair option pricing: developing a partial differential equation whose solution, given specified boundary conditions, is the desired fai...

The aim of the paper is to develop pricing formulas for European type Asian options written on the exchange rate in a two currency economy. The exchange rate as well as the foreign and domestic zero coupon bond prices are assumed to follow geometric Brownian motions. As a special case of a discrete Asian option we analyse the delayed payment currency option and develop closed form pricing and h...

The risk-neutral process is modeled by a four parameter self-similar process of independent increments with a self-decomposable law for its unit time distribution. Six different processes in this general class are theoretically formulated and empirically investigated. We show that all six models are capable of adequately synthesizing European option prices across the spectrum of strikes and mat...

It has been observed that return distributions in general and interest rates in particular exhibit skewness and kurtosis that cannot be explained by the lognormal distribution commonly used as an assumption in many option pricing models. We have replaced the lognormal assumption in the Black (1976) model with the g-and-h distribution and derived a simple, closed-form option pricing formula unde...

This paper investigates the role of scheduled news announcements in explaining the transmission of volatility, both within European markets and across U.S. and European ones. To this end, a novel approach is taken by employing a set of widely followed implied volatility indices. Aggregate, regional, and individual event dummies and surprise measures for U.S. and European news announcements are ...

Nuclear power sources for space (NPS) are, according to current physics knowledge, the only power source option for some classes of space missions. Europe has successfully used nuclear power sources for space exploration missions (e.g. Huygens lander on Titan, Ulysses spacecraft). While some small-scale study and development efforts have been undertaken at national level during the past 40 year...