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| * Class 14 (30/5): Tracking distributions. Verification theorems.
* Class 15 (5/6):
|* Class 14 (30/5): Tracking distributions. * Class 15 (5/6): Verification theorems. Application: principal-agent in CT - Sannikov (2008).|
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| * [[attachment:sl_absorption.pdf|Tracking absorption]]
* [[attachment:sl_verification.pdf|A simple verification theorem]]
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|* [[attachment:sl_absorption.pdf|Tracking absorption]]|
Dynamic Methods for Economics and Finance
Professor: Leandro Gorno (<leandro.gorno AT fgv DOT br>)
Lectures: Wednesdays 10:30-12:30, Thursdays 11-13.
- Office hours: by appointment.
- 30-May-2019: New hints added for Exercise 2, changes in Exercise 4, and new hint in Exercise 5. The deadline has been extended to Monday June 3rd at 11:00AM.
- 29-May-2019: New hint added for Exercise 2 in the exam (updated link below).
28-May-2019: The exam is online here.
- 17-Apr-2019: As discussed last week, class today will start at 10:30am.
Class schedule (tentative)
- Class 1:(10/4) Course presentation, dynamic programming in discrete time.
- Class 2:(11/4) Linearization, dynamic programming in continuous time.
- Class 3 (17/4): More dynamic programming in continuous time. Mathematica basics.
- Class 4 (24/4): Poisson shocks. More Mathematica.
- Class 5 (25/4): More Poisson shocks. Introduction to stochastic calculus.
- Class 6 (2/5): More stochastic calculus. Writing HJBs. Applications.
- Class 7 (8/5): Geometric BM. Solving a SDE. Pricing simple FX contracts.
- Class 8 (9/5): ODEs and PDEs in Mathematica.
- Class 9 (15/5): More on meshes, FEM, and boundary value problems. Optimal stopping.
- Class 10 (16/5): More optimal stopping. Smoothness, noise, and vanishing viscosity.
- Class 11 (22/5): More on smoothness and optimal switching.
- Class 12 (23/5): Even more on smoothness. Adding jumps. Intro to Kolmogorov forward equations.
- Class 13(29/5): Random walk approximation to BM.
- Class 14 (30/5): Tracking distributions.
- Class 15 (5/6): Verification theorems. Application: principal-agent in CT - Sannikov (2008).
- Class 16 (6/6):
- Class 17: (12/6):
- Class 18: (13/6):
A crash course in Mathematica. Preliminary. Last update: April 17th 2019.
Primary: Dixit, A.K. and Pindyck R.S. "Inverstment under uncertainty", Princeton University Press (1994)
Secondary: Harrison, J.M. "Brownian Models of Performance and Control" Link to Stanford GSB page (Note: this book is a new edition of the older classic "Brownian Motion and Stochastic Flow Systems" (1985) Link to Google books, which used to be online)
Pham, H. "Continuous-time Stochastic Control and Optimization with Financial Applications" Link to Springer
Cvitanic, J. and Zhang, J. "Contract Theory in Continuous-Time Models" Link to Springer
Optimal Unemployment Insurance Hopenhayn and Nicolini (JPE 1997)
Toward a Theory of Discounted Repeated Games with Imperfect Monitoring Abreu, Pearce and Stachetti (ECMA 1990)
Aggregation and Linearity in the Provision of Intertemporal Incentives Holmstrom and Milgrom (ECMA 1987)
A Continuous-Time Version of the Principal: Agent Problem Sannikov (Restud 2008)
Games with Imperfectly Observable Actions in Continuous Time Sannikov (ECMA 2007)
Competitive Real Options under Private Information Gorno and Iachan (working paper)