In this paper, we provided a fast algorithm for pricing European options under a double exponential jump-diffusion model based on Fourier transform. We derived a closed-form (CF) representation of the characteristic function of the model. By using fast Fourier transform (FFT) technique, we obtained an approximation numerical solution for the prices of European call options. Our numerical result...

This paper develops a nonparametric option pricing theory and numerical method for European, American and path-dependent derivatives. In contrast to the nonparametric curve fitting techniques commonly seen in the literature, this nonparametric pricing theory is more in line with the canonical valuation method developed Stutzer (1996) for pricing options with only a sample of asset returns. Unli...

We consider European options pricing with double jumps and stochastic volatility. We derived closed-form solutions for European call options in a double exponential jump-diffusion model with stochastic volatility SVDEJD . We developed fast and accurate numerical solutions by using fast Fourier transform FFT technique. We compared the density of our model with those of other models, including th...

An e cient algorithm is developed to price European options in the presence of proportional transaction costs, using the optimal portfolio framework of Davis (1997). A fair option price is determined by requiring that an in nitesimal diversion of funds into the purchase or sale of options has a neutral e ect on achievable utility. This results in a general option pricing formula, in which optio...

In this paper, we suggest a new model for establishing numerical study related to European options pricing problem where assets' prices can be described by stochastic equation with discontinuous sample path (Slow Growth Volatility Jump SGVJ model) which uses non-standard volatility. A special attention is given characteristics of the proposed represented its volatility defined parameters α and ...

Abstract   We extend the concept of dynamic pricing by integrating it with “overselling with opportunistic cancellation” option, within the framework of dynamic policy. Under this strategy, to sell a stock of perishable product (or capacity) two prices are offered to customers at any given time period. Customers are categorized as high-paying and low-paying ones. The seller deliberately oversel...

In this research we examine a new method for pricing European call options based on a nonparametric estimate of the probability density of the underlying asset’s returns. Such an approach allows the use of asymmetric and leptokurtic distributions. We estimate the density using a kernel estimation technique applied to random samples drawn from three particular underlying distributions: the Gauss...