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Oct 17, 2016Open    AccessArticle

Soft Vibrational Force on Stock Market Networks

Mehmet Ali Balci, Qmer Akgüller
Stock market networks commonly involve uncertainty, and the theory of soft sets emerges as a powerful tool to handle it. In this study, we present a soft analogue of the differential of a vibrational potential function acting on a stock market network as vibrational force. For this purpose, we first study the vibrational potential function operating on each vertex by using the Laplacian of the neighborhood graph, then applied the

May 24, 2016Open    AccessArticle

Ruin Probabilities in Risk Based on a Generalized FGM Dependence Structure

Liyi Wen
In this paper, we consider a discrete time insurance risk model, in which insurance and financial risks jointly follow a bivariate generalized FGM distribution. Assuming that every convex combination of the marginal distributions of insurance and financial risks belongs to strongly regular variation class, we derive some asymptotic equivalence formulas for these probabilities with both finite and infinite time horizons, all in the

Jan 29, 2016Open    AccessArticle

Amartya Sen’s Peasant Economies: A Review with Examples

Haradhan Kumar Mohajan
This article provides partial mathematical analysis of Amartya Sen’s published paper “Peasants and Dualism with or without Surplus Labor”. This paper may provide useful illustrations of the applications of mathematics to economics. Here, three portions of Sen’s paper “the simplest model, production for a market response and to withdrawal of labor” are discussed in some details. Results of the study are given in mathematical formulations with physical interpretations. An attempt is taken here to ...

Apr 17, 2015Open    AccessArticle

Alternative Approach for the Solution of the Black-Scholes Partial Differential Equation for European Call Option

Sunday Emmanuel Fadugba, Adedoyin Olayinka Ajayi
In this paper we present an alternative approach for the solution of the Black-Scholes partial differential equation for European call option which pays dividend yield using the modified Mellin transform method. The approach used in this paper does not require variables transformation. We also extend the modified Mellin transform method for the valuation of European call option which pays dividend yield. The numerical results show that the modified Mellin transform is accurate, mutually consiste...