Discrete-Time Financial Modeling: Term Structures and Interest Rates

Financial modeling relies heavily on understanding how prices and rates evolve over time. This text-based course introduces the core mathematical foundations of discrete-time financial models, focusing on multi-period asset pricing, term structures, and risk valuation. You will build a strong conceptual and mathematical understanding of modern valuation methods without getting overwhelmed by continuous-time stochastic calculus. By studying discrete-time frameworks, you will develop an intuitive foundation for pricing contracts and evaluating interest rate dynamics. What you'll learn: - Understand essential financial mathematics terminology, probability spaces, and discrete stochastic processes - Apply the principle of no-arbitrage across multi-period discrete market models - Model stochastically evolving term structures of interest rates using step-by-step lattice methods - Calculate risk-neutral probabilities and state prices for derivative valuation - Analyze discrete credit risk and yield curve dynamics using structured mathematical examples - Connect discrete-time frameworks to modern computational quantitative finance workflows The course begins with foundational definitions and fundamental pricing principles before progressing through multi-period market trees and term structure modeling techniques. It is designed for beginners in quantitative finance, economics, or applied mathematics with basic arithmetic and algebra background. Start reading today to establish a solid foundation in discrete-time financial mathematics.