Springer - Weak Convergence of Financial Markets (Springer Finance)

Explore the mathematical foundations of modern finance with Weak Convergence of Financial Markets. This Springer Finance publication provides a detailed overview of the weak convergence of stochastic processes and how these concepts apply to the study of financial markets. The text is organized into three logical parts to guide your learning. It begins with a review of stochastic processes and stochastic calculus, with a specific focus on contiguity properties and the weak convergence of stochastic integrals. This mathematical foundation prepares readers for the advanced analysis found in the subsequent sections. In the second part, the book applies these mathematical principles to financial theory. It examines core market problems such as option pricing, hedging, and portfolio optimization. A significant focus is placed on understanding these problems through the lens of discrete-time approximations of continuous-time dynamics. This book serves as a technical resource for those studying the convergence points of financial theory and stochastic modeling.