Methods for leader's detection and overthrow in networks are useful tools for decision-making in many real-life cases, such as criminal networks with hidden patterns or money laundering networks. In the given research, we represent the algorithms that detect and overthrow the most influential...

SABR stochastic volatility model is appealing for modeling smile and skew of option prices. Hagan, who first proposed this model, derived a closed form approximation for european options and showed that it provides consistent and stable hedges. Here I prove a new exact closed formula for the...

A State's GDP represents the aggregated image of economic outcomes. Both the GDP dimension and its structure constitute important information with respect to the degree of economic development of a State. A State's GDP is a system characterised by increased inertia. For this reason, transition...

We develop a concept of a quot;domineering claimquot; and apply it to the existence, uniqueness and properties of optimal stopping times in continuous time. The notion pinpoints a key observation of pathwise optimality in Davis and Karatzas [8]. It also ties in well with several formulations of...

General deviation measures are introduced and studied systematically for their potential applications to risk management in areas like portfolio optimization and engineering. Such measures include standard deviation as a special case but need not be symmetric with respect to ups and downs. Their...

Classical quantitative finance models such as the Geometric Brownian Motion or its later extensions such as local or stochastic volatility models do not make sense when seen from a physics-based perspective, as they are all equivalent to a negative mass oscillator with a noise. This paper...

The aim of this paper is to illustrate the determination of the Economic Order Quantity (EOQ) or Economic Number of Orders (ENO) when the Total Ordering Cost (TOC) and Total Handling Cost (THC) are not equally the same. For this purpose, two assumptions of the basic EOQ model - (a) the constant...

IC (Information Coefficient) is a widely and deeply accepted measure in active portfolio management.This paper investigates its probability properties that requires basic and in-depth research. First, this paper brings a new perspective on IC: a linear operator of a random unit vector generated...

After the default of Lehman Brother, the credit risk became a first concern. Following the Euro crisis, the regulators were pushy for clearing i.e. the market participants were forced via the regulatory capital constraints to go to the exchange or the central clearing house. It was the beginning...

This paper proposes and studies an optimal placement problem in a limit order book. To gain some analytical insights, a simple correlated random walk model with mean-reversion is proposed for the best ask price. Optimal placement strategies for both single-period and multi-period cases are...