1 Financial Option Valuation -- 1.1 Financial Options -- 1.2 The Black-Scholes PDE -- 2 Partial Differential Equations -- 2.1 Convection-Diffusion-Reaction Equations -- 2.2 The Model Equation -- 2.3 Boundary Conditions -- 2.4 Notes and References -- 3 Spatial Discretization I -- 3.1 Method of...

This book offers a one-stop resource for performing quantitative risk analyses. The authors provide practical case studies along with detailed instruction and illustration of the features of ModelRisk, the most advanced risk modeling spreadsheet software currently available.

Offering a unique balance between applications and calculations, Monte Carlo Methods and Models in Finance and Insurance incorporates the application background of finance and insurance with the theory and applications of Monte Carlo methods. It presents recent methods and algorithms, including...

Credit derivatives have been instrumental in the recent increase in securitization activity. The complex nature and the size of the market have given rise to very complex counterparty credit risks. The Lehman failure has shown that these issues can paralyse the financial markets, and the need...

Key Features:Offers many new fixed-point theorems together with mathematical structures that can be utilized to describe many general economic equilibrium settings and views of the worldTreats methods for fixed-point and equilibrium arguments under the framework of "homology theory", so that the...

Using models, developed in one branch of science, to describe similar behaviors encountered in a different one, is the essence of a synergetic approach. A wide range of topics has been developed including Agent-based models, econophysics, socio-economic networks, information, bounded rationality...

This book describes the construction of algebraic models which represent the operations of the double-entry accounting system. It presents a novel and comprehensive treatment of the subject and utilizes the methods and tools of abstract algebra, including automata, graph theory and monoids.

This concise textbook presents students with all they need for advancing in mathematical economics. Detailed yet student-friendly, Vohra's book contains chapters in, amongst others:* Feasibility * Convex Sets * Linear and Non-linear Programming* Lattices and Supermodularity.Higher level...