Pension systems, demographic change, and the stock market:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2008
|
| Schriftenreihe: | Lecture notes in economics and mathematical systems
610 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis Klappentext |
| Beschreibung: | X, 176 S. graph. Darst. 235 mm x 155 mm |
| ISBN: | 354077971X 9783540779711 |
Internformat
MARC
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| 490 | 1 | |a Lecture notes in economics and mathematical systems |v 610 | |
| 502 | |a Zugl.: Bielefeld, Univ., Diss., 2006 | ||
| 650 | 4 | |a Mathematisches Modell | |
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Datensatz im Suchindex
| _version_ | 1804137548989071360 |
|---|---|
| adam_text | Contents
1
Introduction
......................................... 1
Part I The Model
2
The General Model
.................................. 11
2.1
Overlapping Generations of Consumers
............... 11
2.2
Decision Problem of Consumers
...................... 13
2.3
Consumer Demand
................................. 20
2.4
Decision Problem of Firms
.......................... 29
2.5
Temporary Equilibrium
............................. 37
2.6
Pension Systems and Demographic Change
............ 42
2.
A Mathematical Appendix
............................. 45
2.A.1 Proof of Lemma
2.2.2......................... 45
2.A.2 Proof of Lemma
2.3.1......................... 46
2.A.3 Proof of Theorem
2.1 ......................... 47
2.B Technical Lemmas
.................................. 51
3
The Parameterized Model
........................... 55
3.1
Consumer Demand with Logarithmic Utility
........... 56
3.2
Asset Demand with Elliptical Distributions
............ 60
3.3
Demand Behavior of Firms
.......................... 69
3.4
Temporary Equilibrium and Expectations Formation
... 72
3.5
The Model in Period
t
.............................. 80
3.
A Mathematical Appendix
............................. 83
3.A.1 Proof of Lemma
3.1.1......................... 83
3.A.2 Proof of Proposition
3.1.1...................... 85
3.A.3 Properties of Elliptical Distributions
............ 86
3.A.4 Proof of Proposition
3.2.1...................... 90
X
Contents
3.Α.5
Proof of Lemma
3.2.1......................... 91
3.A.6 Proof of Lemma
3.4.1......................... 93
3.B Technical Lemmas
.................................. 97
Part II The Simulation Study
4
Pension Systems in the Presence of a Stationary
Population
...........................................101
4.1
Dynamics of the Model
.............................102
4.2
The Simulation Model
..............................105
4.3
Impact of Pension Systems on Real and Financial
Markets
...........................................116
4.4
Impact of Pension Systems on Consumer Welfare
.......124
4.5
Robustness of Results
...............................130
4.6
Reducing the Public Pension System
.................135
4.
A Mathematical Appendix
.............................141
4.
A.I Concepts from Random Dynamical Systems
Theory
......................................141
4.A.2 Proof of Lemma
4.4.1.........................143
5
Pension Systems in the Presence of Demographic
Change
..............................................145
5.1
Population Dynamics and Demographic Change
........146
5.2
Constant Contributions
.............................149
5.3
Reducing Contributions
.............................153
5.4
Increasing Contributions
............................159
5.5
Increasing the Retirement Age
.......................163
6
Conclusions and Outlook
.............................169
References
...............................................173
Marten
Hillebrand
Pension Systems, Demographic Change,
and the Stock Market
Due to the accelerating demographic change of the population the
reform of the existing pension systems constitutes one of the greatest
political challenges in most European countries. A theoretical
discussion of different pension reforms must incorporate not only
the demographic aspect but also the role of financial market risk and
the impact on production and employment. These notes develop
a dynamic
macroeconomic
model which incorporates these aspects
Within a flexible theoretical framework. The proposed approach
provides a large scale population model and features a sound
description of the production side as well as of the financial side of
the economy and their interactions with the pension system. Within
this framework various adjustment policies of the pension system
are studied under different
population
scenarios. The consequences
for the economy and the welfare of consumers are analyzed and
compared.
|
| adam_txt |
Contents
1
Introduction
. 1
Part I The Model
2
The General Model
. 11
2.1
Overlapping Generations of Consumers
. 11
2.2
Decision Problem of Consumers
. 13
2.3
Consumer Demand
. 20
2.4
Decision Problem of Firms
. 29
2.5
Temporary Equilibrium
. 37
2.6
Pension Systems and Demographic Change
. 42
2.
A Mathematical Appendix
. 45
2.A.1 Proof of Lemma
2.2.2. 45
2.A.2 Proof of Lemma
2.3.1. 46
2.A.3 Proof of Theorem
2.1 . 47
2.B Technical Lemmas
. 51
3
The Parameterized Model
. 55
3.1
Consumer Demand with Logarithmic Utility
. 56
3.2
Asset Demand with Elliptical Distributions
. 60
3.3
Demand Behavior of Firms
. 69
3.4
Temporary Equilibrium and Expectations Formation
. 72
3.5
The Model in Period
t
. 80
3.
A Mathematical Appendix
. 83
3.A.1 Proof of Lemma
3.1.1. 83
3.A.2 Proof of Proposition
3.1.1. 85
3.A.3 Properties of Elliptical Distributions
. 86
3.A.4 Proof of Proposition
3.2.1. 90
X
Contents
3.Α.5
Proof of Lemma
3.2.1. 91
3.A.6 Proof of Lemma
3.4.1. 93
3.B Technical Lemmas
. 97
Part II The Simulation Study
4
Pension Systems in the Presence of a Stationary
Population
.101
4.1
Dynamics of the Model
.102
4.2
The Simulation Model
.105
4.3
Impact of Pension Systems on Real and Financial
Markets
.116
4.4
Impact of Pension Systems on Consumer Welfare
.124
4.5
Robustness of Results
.130
4.6
Reducing the Public Pension System
.135
4.
A Mathematical Appendix
.141
4.
A.I Concepts from Random Dynamical Systems
Theory
.141
4.A.2 Proof of Lemma
4.4.1.143
5
Pension Systems in the Presence of Demographic
Change
.145
5.1
Population Dynamics and Demographic Change
.146
5.2
Constant Contributions
.149
5.3
Reducing Contributions
.153
5.4
Increasing Contributions
.159
5.5
Increasing the Retirement Age
.163
6
Conclusions and Outlook
.169
References
.173
Marten
Hillebrand
Pension Systems, Demographic Change,
and the Stock Market
Due to the accelerating demographic change of the population the
reform of the existing pension systems constitutes one of the greatest
political challenges in most European countries. A theoretical
discussion of different pension reforms must incorporate not only
the demographic aspect but also the role of financial market risk and
the impact on production and employment. These notes develop
a dynamic
macroeconomic
model which incorporates these aspects
Within a flexible theoretical framework. The proposed approach
provides a large scale population model and features a sound
description of the production side as well as of the financial side of
the economy and their interactions with the pension system. Within
this framework various adjustment policies of the pension system
are studied under different
population
scenarios. The consequences
for the economy and the welfare of consumers are analyzed and
compared. |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Hillebrand, Marten |
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| ctrlnum | (OCoLC)213304477 (DE-599)DNB987220624 |
| dewey-full | 339.50151 332.0240145 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 339 - Macroeconomics and related topics 332 - Financial economics |
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| dewey-sort | 3339.50151 |
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| discipline | Mathematik Wirtschaftswissenschaften |
| discipline_str_mv | Mathematik Wirtschaftswissenschaften |
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| geographic | Europa |
| geographic_facet | Europa |
| id | DE-604.BV023247698 |
| illustrated | Illustrated |
| index_date | 2024-07-02T20:26:38Z |
| indexdate | 2024-07-09T21:14:03Z |
| institution | BVB |
| isbn | 354077971X 9783540779711 |
| language | English |
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| physical | X, 176 S. graph. Darst. 235 mm x 155 mm |
| publishDate | 2008 |
| publishDateSearch | 2008 |
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| publisher | Springer |
| record_format | marc |
| series | Lecture notes in economics and mathematical systems |
| series2 | Lecture notes in economics and mathematical systems |
| spelling | Hillebrand, Marten Verfasser aut Pension systems, demographic change, and the stock market Marten Hillebrand Berlin [u.a.] Springer 2008 X, 176 S. graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture notes in economics and mathematical systems 610 Zugl.: Bielefeld, Univ., Diss., 2006 Mathematisches Modell Pensions Europe Mathematical models Stock exchanges Altersversorgung (DE-588)4001479-4 gnd rswk-swf Makroökonomisches Modell (DE-588)4074486-3 gnd rswk-swf Aktienmarkt (DE-588)4130931-5 gnd rswk-swf Bevölkerungsentwicklung (DE-588)4006292-2 gnd rswk-swf Europa (DE-588)4113937-9 Hochschulschrift gnd-content Altersversorgung (DE-588)4001479-4 s Bevölkerungsentwicklung (DE-588)4006292-2 s Aktienmarkt (DE-588)4130931-5 s Makroökonomisches Modell (DE-588)4074486-3 s DE-604 Erscheint auch als Online-Ausgabe 978-3-540-77972-8 Lecture notes in economics and mathematical systems 610 (DE-604)BV000000036 610 http://d-nb.info/987220624/04 Inhaltsverzeichnis Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016433126&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016433126&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Hillebrand, Marten Pension systems, demographic change, and the stock market Lecture notes in economics and mathematical systems Mathematisches Modell Pensions Europe Mathematical models Stock exchanges Altersversorgung (DE-588)4001479-4 gnd Makroökonomisches Modell (DE-588)4074486-3 gnd Aktienmarkt (DE-588)4130931-5 gnd Bevölkerungsentwicklung (DE-588)4006292-2 gnd |
| subject_GND | (DE-588)4001479-4 (DE-588)4074486-3 (DE-588)4130931-5 (DE-588)4006292-2 (DE-588)4113937-9 |
| title | Pension systems, demographic change, and the stock market |
| title_auth | Pension systems, demographic change, and the stock market |
| title_exact_search | Pension systems, demographic change, and the stock market |
| title_exact_search_txtP | Pension systems, demographic change, and the stock market |
| title_full | Pension systems, demographic change, and the stock market Marten Hillebrand |
| title_fullStr | Pension systems, demographic change, and the stock market Marten Hillebrand |
| title_full_unstemmed | Pension systems, demographic change, and the stock market Marten Hillebrand |
| title_short | Pension systems, demographic change, and the stock market |
| title_sort | pension systems demographic change and the stock market |
| topic | Mathematisches Modell Pensions Europe Mathematical models Stock exchanges Altersversorgung (DE-588)4001479-4 gnd Makroökonomisches Modell (DE-588)4074486-3 gnd Aktienmarkt (DE-588)4130931-5 gnd Bevölkerungsentwicklung (DE-588)4006292-2 gnd |
| topic_facet | Mathematisches Modell Pensions Europe Mathematical models Stock exchanges Altersversorgung Makroökonomisches Modell Aktienmarkt Bevölkerungsentwicklung Europa Hochschulschrift |
| url | http://d-nb.info/987220624/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016433126&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016433126&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000036 |
| work_keys_str_mv | AT hillebrandmarten pensionsystemsdemographicchangeandthestockmarket |
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Inhaltsverzeichnis