Black and Scholes [1973] approach to option price estimations and option trading brought about a great breakthrough in financial mathematics. Since Black and Scholes [1973], the standard model in financial mathematics has been the Geometric Brownian motion. In this model it is assumed that the asset’s log return has a normal distribution with volatility and drift terms. The model has proved to have very attractive features. However, from empirical study, geometrical Brownian motion cannot accurately reflect all behaviors of the stock quotation. The model has some limitations in price prediction, especially when used to model the price over short period of time. The study involves derivation of logistic Brownian motion with jump diffusion for a better study of the behavior of the underlying asset.

The analysis and simulation of the actual equipment performance on high voltage alternating current connectivity of Bonny Island through Bodo-Ogoni to Afam independent power project (IPP), Rivers State, Nigeria. Necessary data on power transformers and the route length of the network was considered, the determination of the transformer current, the transformer loading, the active power, the reactive power, the apparent power, the complex power, the power factor and the phase voltage on each transformer on the network. Determine the Bus bar current, the cable size, conductor resistance, the cross sectional area of the conductor, the voltage drop on each Buses, and the resistance of line per Kilometre were also determined. Voltage stability technique was use in the implementation of the network. Electrical transient analyzer program (ETAP 19.0.1) simulation software was used in designing the network. Apply Newton-Raphson method was utilized for the achievement of the optimal load flow of the network.

Experts on Human-Computer Interaction (HCI) are required to decide conversation media for an extensive kind of customers in result of the increasing offerings provided to the marketplace and consequently the converting era landscapes. This paper has summarized the conceptions of interplay among customers and pcs. Under those instructions, it proposed the layout procedure steps, layout technique and a few attentive points. We talk the dreams of HCI and the important thing idea i.e. Usability. This paper additionally makes a special of significance of HCI and disciplines. Within the primary stage, instructions on HCI illustrate the mental photographs of laptop customers. Second, the lessons deduce sensible tips from the ones profiles. Finally the students research the technical contents concerning HCI layout. The concise mental and social standards which manual the students to prepare the visible interfaces represent the progressive contribution of this paintings at the didactic level. The preliminary instructions on HCI go beyond mere technical education and it'll be stated that they enhance the expert way of life of scholars. The remarks from contributors regarded very positive.

Cloud Computing is one of the significant advancements which has acquired prevalence in PC sciences and data innovation space .Cloud Computing has changed the method of doing business by an endeavor overall and information about the executives, recovery and capacity inside a business venture specifically. Cell phone use has filled quickly coupled with cloud computing by offering various types of assistance/applications utilizing cloud .The majority of the Smartphone do run on Android working framework. Android OS is the broadly utilized Smartphone working frameworks with Colossal client base .Everyday hundreds and thousands of utilization are added to the archive of Android by various sellers and are effectively accessible for establishment to android clients .As a large portion of the applications are created by outsider offering approach to conceivable provisos which bring about various dangers to security and protection of information .These dangers are basic when a client is suing cloud storage or benefits on Smartphone gadgets and if the gadget is taken it might lead to access of data by an unapproved client. This unapproved admittance to data can be misused which makes doubt among the clients of cloud computing on android gadgets .In this paper a procedure has been proposed to get information and data from unapproved access utilizing android cloud application.

There normally exist many styles of versions in face picture taken beneath out of control conditions, including adjustments of pose, illumination, expression, etc. Most beyond face reputation (FR) studies has targeted on precise versions and has assumed the dearth of others. With the increase of video and image databases, there may be a extra want for wise structures to routinely understand and have a look at data, as doing so manually is turning into more and more more tough. People, or faces, are one of the maximum awesome gadgets that can be traced withinside the pictures while narrowing it right all the way down to one precise area. Face detection is turning into greater tough because the range of packages that rent it grows. It is first step withinside the approach of face identification, analysis, and detection of different facial traits. In this paper, Face detection, reputation set of rules are discussed