This textbook provides a comprehensive foundation for developing asset-pricing models with heterogeneous investors. Volume I in a two-volume set, this book covers topics such as stochastic calculus, dynamic programming, representative agent models, and a numerical method (finite difference) for solving them. The book takes a step-by-step approach, carefully show the underlying object of the models and the implementation of the finite difference method and Upwind scheme to solve dynamic programming problems in asset pricing. Where appropriate, chapters include MATLAB code for ease of replication. This book will be of interest to advanced undergraduate and graduate students of finance, economics, mathematics, and statistics.

Provides a step-by-step approach to develop and solve dynamic continuous-time models in asset pricing Covers stochastic calculus, dynamic programming, representative agent models, and the finite difference method Includes MATLAB code for ease of replication

Autorentext

Hamilton Galindo Gil is an assistant professor in the Department of Finance and Economics at Cleveland State University (US), where he teaches courses in financial management and policies and asset pricing at the graduate level. He received a Ph.D. in Finance from Arizona State University, an M.A. in Economics from the University of the Pacific (Peru), and a B.Sc. in economics engineering from the National University of Engineering (Peru). Dr. Galindo's research interests include macro-finance, structural estimation in corporate finance, and heterogeneous agents in asset pricing.

Inhalt

Chapter1: Stochastic Processes and Stochastic Calculus.- Chapter2: Dynamic Programming Approach in Continuous Time.- Chapter3: Martingale Approach.- Chapter4: Wealth Dynamics.- Chapter5: A General Equilibrium ModelWith 𝒌 State Variables.- Chapter6: A General Equilibrium Model with CRRA Preferences and 𝒌 State Variables.- Chapter7: A General Equilibrium Model with Log Utility Function and One State Variable.- Chapter8: Solving Numerically the HJB Equation Foundations.- Chapter9: Solving Numerically the HJB Equation Examples.