Dynamic general equilibrium modelling: computational methods and applications ; with 24 tables
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2005
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIX, 540 S. graph. Darst. |
| ISBN: | 354022095X |
Staff View
MARC
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| 100 | 1 | |a Heer, Burkhard |d 1967- |e Verfasser |0 (DE-588)114005265 |4 aut | |
| 245 | 1 | 0 | |a Dynamic general equilibrium modelling |b computational methods and applications ; with 24 tables |c Burkhard Heer ; Alfred Maußner |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2005 | |
| 300 | |a XIX, 540 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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| 650 | 0 | 7 | |a Dynamische Makroökonomie |0 (DE-588)4200428-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wachstumstheorie |0 (DE-588)4128160-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Allgemeines Gleichgewichtsmodell |0 (DE-588)4210294-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Stochastische dynamische Optimierung |0 (DE-588)4183372-7 |2 gnd |9 rswk-swf |
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Record in the Search Index
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|---|---|
| adam_text | Table
of
Contents
Preface
.............................................
V
Part I. Representative Agent Models
1
Basic Models and Elementary Algorithms
........ 3
1.1
The Deterministic Finite Horizon Ramsey Model
and Non-linear Programming
.................. 4
1.1.1
The Ramsey Problem
.................... 4
1.1.2
The Kuhn-Tucker Theorem
............... 6
1.1.3
Numerical Solutions
..................... 8
1.2
The Deterministic Infinite Horizon Ramsey Model
and Dynamic Programming
................... 11
1.2.1
Recursive Utility
........................ 11
1.2.2
Euler
Equations
........................ 13
1.2.3
Dynamic Programming
.................. 14
1.2.4
The Saddle Path
........................ 17
1.2.5
Numerical Solutions
..................... 20
1.3
The Stochastic Ramsey Model
................. 33
1.3.1
Stochastic Output
....................... 33
1.3.2
Stochastic
Euler
Equations
............... 36
1.3.3
Stochastic Dynamic Programming
......... 38
1.3.4
Numerical Solutions
..................... 39
1.4
Labor Supply, Growth, and the Decentralized
Economy
.................................... 49
1.4.1
Substitution of Leisure
................... 49
1.4.2
Growth and Restrictions on Technology and
Preferences
............................. 50
1.4.3
The Decentralized Economy
.............. 57
XII
1.4.4
Numerical
Solutions
..................... 60
1.5
Model
Calibration and Evaluation
.............. 64
Appendices
...................................... 73
A.I Solution to Example
1.2.1..................... 73
A.
2
Restrictions on Technology and Preferences
...... 75
Problems
........................................ 80
2
Linear Quadratic and Linear Approximation Meth¬
ods
.............................................. 85
2.1
The Linear Quadratic Model
................... 86
2.1.1
Description
............................ 86
2.1.2
Derivation of the Policy Function
......... 87
2.1.3
Certainty Equivalence
................... 88
2.1.4
Derivation of the
Euler
Equations
......... 89
2.2
LQ Approximation
........................... 91
2.2.1
An Illustrative Example
................. 91
2.2.2
The General Method
.................... 96
2.3 Loglinear
Approximation
...................... 99
2.3.1
An Illustrative Example
................. 99
2.3.2
The General Method
....................107
2.4
Applications
.................................113
2.4.1
The Benchmark Model
..................113
2.4.2
Time to Build
..........................120
2.4.3
New Keynesian Phillips Curve
............125
Appendices
......................................139
A.3 Solution of the Stochastic LQ problem
..........139
A.
4
Derivation of the
Loglinear
Model of the New
Keynesian Phillips Curve
......................141
Problems
........................................149
3
Parameterized Expectations
......................155
3.1
Characterization of Approximate Solutions
......156
3.1.1
An Illustrative Example
.................156
3.1.2
A General Framework
...................159
3.1.3
Adaptive Learning
......................161
3.2
Computation of the Approximate Solution
.......164
3.2.1
Choice of
T
and
φ
......................164
XIII
3.2.2
Iterative
Computation of the Fixed Point
. . 166
3.2.3
Direct Computation of the Fixed Point
.... 167
3.2.4
Starting Points
.........................169
3.2.5
Accuracy of Solutions
...................171
3.3
Applications
.................................172
3.3.1
Stochastic Growth with Non-negative In¬
vestment
...............................172
3.3.2
The Benchmark Model
..................178
3.3.3
Limited Participation in Financial Markets
. 181
Problems
........................................194
4
Projection Methods
..............................197
4.1
Characterization of Projection Methods
.........198
4.1.1
An Example
............................198
4.1.2
The General Framework
.................201
4.1.3
Parameterized Expectations and Projection
Methods
...............................204
4.2
The Building Blocks of Projection Methods
......205
4.2.1
Approximating Function
.................205
4.2.2
Residual Function
.......................206
4.2.3
Projection and Solution
..................207
4.2.4
Accuracy of Solution
....................209
4.3
Applications
.................................210
4.3.1
The Deterministic Growth Model
.........210
4.3.2
The Stochastic Growth Model with Non-
negative Investment
.....................215
4.3.3
The Equity Premium Puzzle
..............221
Problems
........................................235
Part II. Heterogeneous Agent Models
5
Computation of Stationary Distributions
.........239
5.1
A Simple Heterogeneous-Agent Model with
Aggregate Certainty
..........................240
5.2
Computation of the Stationary Equilibrium of a
Heterogeneous Agent Economy
.................247
XIV
5.3
Applications
.................................268
5.3.1
The Risk-Free Rate in Heterogeneous-Agent
Incomplete-Insurance Economies
..........268
5.3.2
Heterogeneous Productivity and Income
Distribution
............................275
Problems
........................................292
6
Dynamics of the Distribution Function
...........297
6.1
The Dynamics of Heterogeneous-Agent Economies
298
6.2
Transition Dynamics
.........................301
6.2.1
Partial Information
......................303
6.2.2
Guessing a Finite Time Path for the Factor
Prices
.................................313
6.3
Aggregate Uncertainty
........................317
6.4
Applications
.................................329
6.4.1
Costs of Business Cycles with Indivisibili¬
ties and Liquidity Constraints
............330
6.4.2
Business Cycle Dynamics of the Income
Distribution
............................339
Problems
........................................354
7
Overlapping Generations Models
.................357
7.1
Life-cycle Model with Perfect Foresight
.........359
7.1.1
An Illustrative Example
.................360
7.1.2
Computation of the Steady State
..........364
7.1.3
Computation of the Transition Path
.......373
7.2
Life-cycle Economies with Individual or Aggre¬
gate Uncertainty
.............................381
7.2.1
Overlapping Generations Models with In¬
dividual Uncertainty
....................381
7.2.2
Aggregate Uncertainty
...................395
Problems
........................................408
XV
Part III. Tools
8
Numerical Methods
..............................413
8.1
A Quick Refresher in Linear Algebra
............413
8.1.1
Complex Numbers
......................413
8.1.2
Vectors
................................414
8.1.3
Norms
.................................414
8.1.4
Matrices
...............................415
8.1.5
Linear and Quadratic Forms
..............418
8.1.6
Eigenvalues and Eigenvectors
.............420
8.1.7
Matrix Factorization
....................421
8.1.8
Givens
Rotation
........................424
8.2
Function Approximation
......................425
8.2.1
Taylor s Theorem
.......................425
8.2.2
Linear Interpolation
.....................428
8.2.3
Families of Polynomials
..................429
8.2.4
Chebyshev Polynomials
..................431
8.2.5
Multidimensional Approximation
..........439
8.2.6
Neural Networks
........................442
8.3
Numerical Differentiation and Integration
.......443
8.3.1
Differentiation
..........................443
8.3.2
Numerical Integration
...................448
8.4
Stopping Criteria for Iterative Algorithms
.......453
8.5
Non
Linear Equations
........................456
8.5.1
The Newton-Raphson Method
............457
8.5.2
A Globally Convergent Newton-Raphson
Method
................................462
8.6
Numerical Optimization
.......................465
8.6.1
Golden Section Search
...................466
8.6.2
Gauss-Newton Method
..................469
8.6.3
Quasi-Newton
..........................472
8.6.4
Genetic Algorithms
.....................476
9
Various Other Tools
.............................487
9.1
Difference Equations
..........................487
9.1.1
Linear Difference Equations
..............487
XVI
9.1.2
Non-Linear Difference Equations
..........491
9.2
Markov Processes
............................493
9.3
DM-Statistic
................................499
9.4
The HP-Filter
...............................503
Epilogue
............................................507
References
..........................................511
Author Index
.......................................527
Subject Index
.......................................531
|
| any_adam_object | 1 |
| author | Heer, Burkhard 1967- Maußner, Alfred |
| author_GND | (DE-588)114005265 (DE-588)121234274 |
| author_facet | Heer, Burkhard 1967- Maußner, Alfred |
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| bvnumber | BV019622041 |
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| discipline | Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV019622041 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:01:32Z |
| institution | BVB |
| isbn | 354022095X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012951400 |
| oclc_num | 314495275 |
| open_access_boolean | |
| owner | DE-20 DE-384 DE-19 DE-BY-UBM DE-N2 DE-703 DE-29T DE-355 DE-BY-UBR DE-11 DE-188 |
| owner_facet | DE-20 DE-384 DE-19 DE-BY-UBM DE-N2 DE-703 DE-29T DE-355 DE-BY-UBR DE-11 DE-188 |
| physical | XIX, 540 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Springer |
| record_format | marc |
| spelling | Heer, Burkhard 1967- Verfasser (DE-588)114005265 aut Dynamic general equilibrium modelling computational methods and applications ; with 24 tables Burkhard Heer ; Alfred Maußner Berlin [u.a.] Springer 2005 XIX, 540 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Konjunkturtheorie (DE-588)4125557-4 gnd rswk-swf Verteilungstheorie (DE-588)4133628-8 gnd rswk-swf Dynamische Makroökonomie (DE-588)4200428-7 gnd rswk-swf Wachstumstheorie (DE-588)4128160-3 gnd rswk-swf Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 gnd rswk-swf Stochastische dynamische Optimierung (DE-588)4183372-7 gnd rswk-swf Dynamische Makroökonomie (DE-588)4200428-7 s Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 s DE-188 Konjunkturtheorie (DE-588)4125557-4 s Wachstumstheorie (DE-588)4128160-3 s Verteilungstheorie (DE-588)4133628-8 s Stochastische dynamische Optimierung (DE-588)4183372-7 s Maußner, Alfred Verfasser (DE-588)121234274 aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012951400&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Heer, Burkhard 1967- Maußner, Alfred Dynamic general equilibrium modelling computational methods and applications ; with 24 tables Konjunkturtheorie (DE-588)4125557-4 gnd Verteilungstheorie (DE-588)4133628-8 gnd Dynamische Makroökonomie (DE-588)4200428-7 gnd Wachstumstheorie (DE-588)4128160-3 gnd Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 gnd Stochastische dynamische Optimierung (DE-588)4183372-7 gnd |
| subject_GND | (DE-588)4125557-4 (DE-588)4133628-8 (DE-588)4200428-7 (DE-588)4128160-3 (DE-588)4210294-7 (DE-588)4183372-7 |
| title | Dynamic general equilibrium modelling computational methods and applications ; with 24 tables |
| title_auth | Dynamic general equilibrium modelling computational methods and applications ; with 24 tables |
| title_exact_search | Dynamic general equilibrium modelling computational methods and applications ; with 24 tables |
| title_full | Dynamic general equilibrium modelling computational methods and applications ; with 24 tables Burkhard Heer ; Alfred Maußner |
| title_fullStr | Dynamic general equilibrium modelling computational methods and applications ; with 24 tables Burkhard Heer ; Alfred Maußner |
| title_full_unstemmed | Dynamic general equilibrium modelling computational methods and applications ; with 24 tables Burkhard Heer ; Alfred Maußner |
| title_short | Dynamic general equilibrium modelling |
| title_sort | dynamic general equilibrium modelling computational methods and applications with 24 tables |
| title_sub | computational methods and applications ; with 24 tables |
| topic | Konjunkturtheorie (DE-588)4125557-4 gnd Verteilungstheorie (DE-588)4133628-8 gnd Dynamische Makroökonomie (DE-588)4200428-7 gnd Wachstumstheorie (DE-588)4128160-3 gnd Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 gnd Stochastische dynamische Optimierung (DE-588)4183372-7 gnd |
| topic_facet | Konjunkturtheorie Verteilungstheorie Dynamische Makroökonomie Wachstumstheorie Allgemeines Gleichgewichtsmodell Stochastische dynamische Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012951400&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT heerburkhard dynamicgeneralequilibriummodellingcomputationalmethodsandapplicationswith24tables AT maußneralfred dynamicgeneralequilibriummodellingcomputationalmethodsandapplicationswith24tables |