Buch, Englisch, 272 Seiten, Format (B × H): 156 mm x 234 mm
Reihe: Routledge-Giappichelli Studies in Business and Management
From Basic Growth Models to Computational Methods
Buch, Englisch, 272 Seiten, Format (B × H): 156 mm x 234 mm
Reihe: Routledge-Giappichelli Studies in Business and Management
ISBN: 978-1-041-30339-8
Verlag: Taylor & Francis Ltd
Dynamic programming is a powerful technique for modeling problems requiring sequential decisions in macroeconomics and finance. The drawback is that its analytic foundations are mathematically demanding, making existing textbooks often too technical for beginners. Moreover, dynamic models most often cannot be solved analytically and, therefore, require the use of numerical methods, whose implementation details can be discouraging.
This book is a primer on dynamic programming and related numerical techniques. To assist the reader, the discussion focuses on a specific example: a simple optimal growth model. Once the reader has mastered the most important concepts, these can be easily applied to business cycle models, New Keynesian frameworks, dynamic CAPM, and many other issues.
The deterministic growth model is used to introduce dynamic programming in an intuitive way. Technicalities are reduced to a minimum, though not avoided, to provide a solid foundation for the applications (and to stimulate the interested reader toward further readings). After a discussion of cases where a closed-form solution exists, the most commonly used numerical techniques are introduced. The book considers the value function iteration method, detailing the steps needed to build the pertinent numerical routines using Matlab. The policy function iteration method and the endogenous grid approach are also discussed since—while similar in spirit to value function iteration—they offer ways to save computing time for some applications. Then, collocation methods are used to obtain a ‘global’ solution. Again, the reader is guided step-by-step in building the numerical routines. Finally, the book introduces the perturbation method, emphasizing its nature as an approximation of the ‘true’ solution.
Moving in small steps, and with the aim of keeping the presentation as readable as possible, the book then focuses on stochastic versions of the growth model. The numerical techniques introduced for the deterministic version are used to deal with (persistent) productivity shocks. In addition, the book presents a method—the parameterized expectation approach—that only mildly suffers from the “curse of dimensionality”.
Zielgruppe
Postgraduate and Undergraduate Advanced
Autoren/Hrsg.
Fachgebiete
- Wirtschaftswissenschaften Finanzsektor & Finanzdienstleistungen Finanzsektor & Finanzdienstleistungen: Allgemeines
- Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
- Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Makroökonomie
- Mathematik | Informatik Mathematik Stochastik
- Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Wirtschaftstheorie, Wirtschaftsphilosophie
Weitere Infos & Material
1. Utility maximization in a dynamic deterministic setting 2. The Dynamic Programming formulation 3. Guess and verify 4. A “paper and pencil” introduction to function iteration 5. Collocation and perturbation with paper and pencil 6. A Lagrangian approach to stochastic growth 7. Stochastic growth: Bellman formulation and closed-form solutions 8. Solving the stochastic growth model: a brief tour of the techniques. Conclusion
