2. DSGE Modeling

• 2.1. Description
• 2.2. An example
• 2.3. The model(rise/dsge) file language
  • 2.3.1. Conventions
  • 2.3.2. Ways to declare a model
  • 2.3.3. Handling Multiple Model Specifications
  • 2.3.4. Atoms declarations
  • 2.3.5. The @functions block
  • 2.3.6. The @model block
  • 2.3.7. The @optimization_problem block
  • 2.3.8. The @steady_state_model block (optional)
  • 2.3.9. The @transition_functions block (optional)
  • 2.3.10. The @epilogue block (optional)
  • 2.3.11. The @parameterization block (optional)
  • 2.3.12. The @parameter_restrictions block (optional)
  • 2.3.13. Tools for bounded rationality (Non-rational expectations)
  • 2.3.14. Macro Language for preparsing
• 2.4. Deriving models with rise.microfound
  • 2.4.1. Write the economics, not the algebra
  • 2.4.2. A first example: the RBC model
  • 2.4.3. What is generated
  • 2.4.4. Multiple agents
  • 2.4.5. Regime switching
  • 2.4.6. Output methods
  • 2.4.7. API reference
  • 2.4.8. Scope and roadmap
  • 2.4.9. Validation
• 2.5. Very large models
  • 2.5.1. Why RISE requires MATLAB R2023b
  • 2.5.2. Writing a large model
  • 2.5.3. Parsing, differentiation and memory
  • 2.5.4. Solving a large model
• 2.6. Setting up calibration and priors outside the model file
• 2.7. Deterministic and quasi-deterministic solutions
  • 2.7.1. The perfect-foresight problem
  • 2.7.2. Setting the conditions
  • 2.7.3. Choosing the horizon
  • 2.7.4. Solvers and performance
  • 2.7.5. Quasi-deterministic solutions: the extended path
  • 2.7.6. Regime switching
  • 2.7.7. See also
• 2.8. Stochastic solution via perturbation
  • 2.8.1. Zero-th order approximation : The steady state and the balanced-growth path
  • 2.8.2. First-order perturbation
  • 2.8.3. Higher-order perturbation
• 2.9. Optimal (Ramsey) policy
  • 2.9.1. Declaring the planner’s problem
  • 2.9.2. Choosing the policy type at solve time
  • 2.9.3. Loose commitment and stochastic replanning
  • 2.9.4. Non-cooperative games: OLE vs MPE
  • 2.9.5. Welfare and comparing policies
  • 2.9.6. Worked example: Ramsey optimal capital taxation
  • 2.9.7. Worked example: comparing policy types in a New Keynesian model
• 2.10. Optimal (optimized) simple rules
  • 2.10.1. The loss function
  • 2.10.2. (Approximate) analytical loss
  • 2.10.3. Simulated loss
  • 2.10.4. OSR and indirect inference
  • 2.10.5. OSR with a user-defined objective
  • 2.10.6. Policy frontiers
• 2.11. Stochastic simulations
  • 2.11.1. Artificial data
  • 2.11.2. Pruned simulations
  • 2.11.3. Theoretical and Simulated moments
  • 2.11.4. Variance decomposition
  • 2.11.5. Impulse responses
• 2.12. Generic simulations with plans
  • 2.12.1. The properties
  • 2.12.2. The methods
• 2.13. Forecasting
  • 2.13.1. The three routes
  • 2.13.2. Kalman filter with conditions as observed data
  • 2.13.3. Conditional forecasting via perfect foresight
  • 2.13.4. Conditional forecasting in a stochastic context
  • 2.13.5. Choosing among the three
• 2.14. Resimulation and counterfactuals
  • 2.14.1. Adapter
  • 2.14.2. Reconstruction methods
  • 2.14.3. Counterfactuals
  • 2.14.4. Shock decompositions
  • 2.14.5. Ergodic variance decomposition
  • 2.14.6. API reference
• 2.15. DSGE Filtering
  • 2.15.1. Filtering and decompositions
  • 2.15.2. Linear filtration with real-time information
  • 2.15.3. Nonlinear filtering
• 2.16. Occasionally-binding constraints
  • 2.16.1. How constraints are declared
• 2.17. Understanding a rise or dsge model object
  • 2.17.1. Ordering and information about atoms
  • 2.17.2. Information on Model equations
  • 2.17.3. Information on Model results
• 2.18. Extending the DSGE functionalities
  • 2.18.1. Extracting the structural form
  • 2.18.2. Extracting the solution
  • 2.18.3. Your own solver
  • 2.18.4. Your own filtering algorithm
  • 2.18.5. Your own optimizer
  • 2.18.6. Your own Likelihood function
  • 2.18.7. Your own posterior sampler
  • 2.18.8. Where this is not enough
• 2.19. Automatic Translation of files
  • 2.19.1. Dynare files
  • 2.19.2. Dynare steady state files
  • 2.19.3. AIM/YADA files
• 2.20. Technical documentation for rise/dsge objects
  • 2.20.1. The properties
  • 2.20.2. The methods