This paper deals with the coordination of supply chain composed of a leading supplier and one retailer as a follower under asymmetric demand information. The demand information asymmetry is portrayed by the state of demand forecast information, accordingly the model, the state of demand information is the special discrete distribution, is established. The parameters menus, which are the optimal...

In a competitive electricity market traditional demand side management options offering customers curtailable service at reduced rates are replaced by voluntary customer responses to electricity spot prices. In this new environment, customers wishing to ensure a fixed electricity price while taking advantage of their flexibility to curtail loads can do so by purchasing a forward electricity con...

We analyse the use of options for online advertisement publishers. By providing a discount or rewards to advertisers, publishers can utilise their uncertain service capacity, page-views, more efficiently. We use Generalised Nash Bargaining to study the feasibility of the option contract and solve for an optimal value for the option price. We compare the revenues and benefits from advertisements...

In this research work, our chief target is to elaborate an analytical solution of the fractional linear complement problem related evaluation American put option generated by Black and Scholes model using Adomian decomposition method, a numerical study set forward perform theoretical result. Compared existent we prove that result has prompt convergence solution.

In a competitive electricity market traditional demand side management options offering customers curtailable service at reduced rates are replaced by voluntary customer responses to electricity spot prices. In this new environment, customers wishing to ensure a fixed electricity price while taking advantage of their flexibility to curtail loads can do so by purchasing a forward electricity con...

Maximum Relative Drawdown measures the largest percentage drop of the price process on a given time interval. More recently, Maximum Relative Drawdown has become more popular as an alternative measure of risk. In contrast to the Value at Risk measure, it captures the path property of the price process. In this article, we propose a partial differential equation approach to determine the theoret...

Barrier options are a widely used class of path-dependent derivative securities. These options either cease to exist or come into existence when some pre-specified asset price barrier is hit during the option’s life. Merton (1973) has derived a down-and-out call price by solving the corresponding partial differential equation with some boundary conditions. Reiner & Rubinstein (1991) published c...