In this text, Fractional Brown Motion theory during random process is applied to research the option pricing problem. Firstly, Fractional Brown Motion theory and actuarial pricing method of option are utilized to derive Black-Scholes formula under Fractional Brown Motion and form corresponding mathematical model to describe option pricing. Secondly, based on BYD stock, estimation model on volat...

In this paper‎, ‎the impacts of premium bounds of put option contracts on the operation of put option and day-ahead electricity markets are studied‎. ‎To this end‎, ‎first a comprehensive equilibrium model for a joint put option and day-ahead markets is presented‎. ‎Interaction between put option and day-ahead markets‎, ‎uncertainty in fuel price, impact of premium bounds, and elasticity of con...

We review the commonly used numerical algorithms for option pricing under Levy process via Fast Fourier transform (FFT) calculations. By treating option price analogous to a probability density function, option prices across the whole spectrum of strikes can be obtained via FFT calculations. We also show how the property of the Fourier transform of a convolution product can be used to value var...

The idea of real option is applied in military software pricing in this paper. By analysis of Black-Scholes pricing model, we figure two crucial variables. One is value of software option that is regarded as estimated cost in our study. We give the logical analysis based on the option feature of estimated cost and also the practical test by building up a system of equations. The other one is th...

This paper considers the pricing of options when there are jumps in the pricing kernel and correlated jumps in asset returns and volatilities. Our model nests Duan’s GARCH option models where conditional returns are constrained to being normal, as well as extends Merton’s jump-diffusion model by allowing return volatility to exhibit GARCH-like behavior. Empirical analysis on the S&P 500 index r...

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...

Unlike this study focused extensively on trading behavior of option market, those researches were just taken their attention to model-driven option pricing. For example, Black-Scholes (B-S) model is one of the most famous option pricing models. However, the arguments of B-S model are previously mentioned by some pricing models reviewing. This paper following suggests the importance of the dynam...

In this paper we propose and test a valuation methodology for improving the efficiency of contingent claims pricing using Artificial Neural Networks (ANN). Contingent claims is by now a standard method for pricing under uncertainty nonlinear (option embedded) contracts, for both financial options (standardized or customized) and real (investment) opportunities. In the presence of liquid option ...

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...

The optimal geometric mean return is an important property of an asset. As a derivative of the underlying asset, the option also has this property. In this paper, we show that the optimal geometric mean returns of a stock and its option are the same from Kelly criterion. It is proved by using binomial option pricing model and continuous stochastic models with self-financing assumption. A simula...