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mea
–
Mannheimer Forschungsinstitut Ökonomie und Demographischer Wandel
Gebäude L 13, 17_D-68131 Mannheim_Sekretariat +49 621 181-2773/1862_Telefax +49 621 181-1863_www.mea.uni-mannheim.de
Demographic Change, Foresight and International
Capital Flows
Melanie Lührmann
38-2003
November 2003
∗
∗
year
Asia Europe
Latin America Northern America
1950 1960 1970 1980 1990 2000 2010 2020 2030 2040 2050
0
.05
.1
.15
.2
.25
.3
.35
.4
.45
year
Asia Europe
Latin America Northern America
1950 1960 1970 1980 1990 2000 2010 2020 2030 2040 2050
0
.1
.2
.3
.4
.5
.6
.7
.8
.9
year
old age dependency youth dependency
1950 1960 1970 1980 1990 2000 2010 2020 2030 2040 2050
0
.1
.2
.3
.4
.5
.6
.7
yit =αoi +x
itβ+
J−1
j
αjdjit +uit
yit i t αoi
xit
djit j
i t uit
σ2
i
ρi
E[]=Ω=
σ1
2V10... 0
0σ2
2V2... 0
00... σ
n
2Vn
Vi=
1ρi00... 0
ρi1ρi0... 0
000 ... ρ
i1
βF GLS =(Xˆ
Ω−1X)−1Xˆ
Ω−1y
Var(ˆ
βF GLS )=(Xˆ
Ω−1X)−1
ˆ
Ω
αj
αj=
4
s=0
γsjs
s∈[0,S]S=4
αj
yit =αi0+x
itβ+
4
s=0 γs
J
j=1
js·djit+uit
αj
γ
γ0=−γ1
J
J
j=1
j−γ2
J
J
j=1
j2−γ3
J
J
j=1
j3−γ4
J
J
j=1
j4
γ0γ1, ..., γ4
αj
yit =αi0+x
itβ+
4
s=1
γsJ
j=1
js·djit −1
J
J
j=1
js·
J
j=1
djit+uit
yit =αi0+x
itβ+
4
s=1
γsDsit +uit
Ds =J
j=1(js·djit)−1
JJ
j=1 js·J
j=1 djit ˆαj
ˆγs
D1..D4
Official projection updates in the years...
19
92
1998
1980
198
8
1982
individual of age 30
builds expectations
Expected further lifetime at age a: 30 years
2012
expected death at 60 years
tim
e
Expected further lifetime at age a: 30 years
t
t t +10
t+20
YNG OLD
YNG10,20,30 50
OLD10,20,30 50
SIZE
CIV IL
CIV IL
RI GH T S
SCHOOL
SCHOOL
OLD..i Y NG..i
-1,0
-0,8
-0,6
-0,4
-0,2
0,0
0,2
0,4
0,6
0,8
1,0
0-4 10-14 20-24 30-34 40-44 50-54 60-64 70-74 80+
specification 1
specification 2
specification 3
Y NG...
OLD...
YNG YNGi
CONTROL
Y NGi...
TAX
T RADE T AX
CONTROL
PRIV ATE
CIV IL RI GH T S
RI GH T S
RI GH T S
SCHOOL
−.4 −.2 0 .2 .4−.4 −.2 0 .2 .4−.4 −.2 0 .2 .4
1960 1980 2000 20201960 1980 2000 2020 1960 1980 2000 2020 1960 1980 2000 2020
Argentina Brazil Canada China
France India Indonesia Italy
Japan Sweden Turkey USA
rel_old_age_dependency rel_youth_dependency
Graphs by name
−.05 0 .05 .1−.05 0 .05 .1−.05 0 .05 .1
1960 1980 2000 20201960 1980 2000 2020 1960 1980 2000 2020 1960 1980 2000 2020
Argentina Brazil Canada China
France India Indonesia Italy
Japan Sweden Turkey USA
net_capital_flows_spec1 net_capital_flows_spec3a
Graphs by name
POPAVG
j
i t FORPOP
ijt
FORPOP
ijt =K
k=idkjt∗POPAVG
kj −dijt ∗POPAVG
ij
K
k=iPOPAVG
kj −POPAVG
ij
dijt j i t
iFORPOP
ijt
RELP OPijt j
i t
-2
-1,5
-1
-0,5
0
0,5
1
1,5
2
0-4 10-14 20-24 30-34 40-44 50-54 60-64 70-74 80+
-2
-1,5
-1
-0,5
0
0,5
1
1,5
2
0-4 10-14 20-24 30-34 40-44 50-54 60-64 70-74 80+
-2
-1,5
-1
-0,5
0
0,5
1
1,5
2
0-4 10-14 20-24 30-34 40-44 50-54 60-64 70-74 80+
Discussion Paper Series
Mannheim Research Institute for the Economics of Aging Universität Mannheim
To order copies, please direct your request to the author of the title in question.
Nr. Autoren Titel Jahr
25-02 Barbara Berkel,
Axel Börsch-Supan,
Alexander Ludwig,
Joachim Winter
Sind die Probleme der Bevölkerungsalterung
durch eine höhere Geburtenrate lösbar?
02
26-02 Max Wolf Zur Effizienz des deutschen Gesundheitssystems 02
27-03 Axel Börsch-Supan Vom Schnupfen zur Grippe: Der Patient und sein
Gesundheitswesen
03
28-03 Axel Börsch-Supan,
Alexander Ludwig,
Joachim Winter
Aging, pension reform, and capital flows: A multi-
country simulation model
03
29-03 H.-M. von Gaudecker
Carsten Weber
Surprises in a Growing Market Niche: An Analysis
of the German Private Annuities Market
03
30-03 Axel Börsch-Supan,
Anette Reil-Held,
Christina B. Wilke
Der Nachhaltigkeitsfaktor und andere
Formelmodifikationen zur langfristigen
Stabilisierung des Beitragssatzes zur GRV
03
31-03 Barbara Berkel
Axel Börsch-Supan
Renteneintrittsentscheidungen in Deutschland:
Langfristige Auswirkungen verschiedener
Reformoptionen
03
32-03 Axel Börsch-Supan,
Hendrik Jürges,
OliverLipps
SHARE: Building a Panel on Health, Aging and
Retirement in Europe
03
33-03 Florian Heiss Wie groß soll die Schwankungsreserve der
gesetzlichen Rentenversicherung sein?
03
34-03 Axel Börsch-Supan,
Christina B. Wilke
The German Public Pension System:
How it Was, How it Will Be
03
35-03 Lothar Essig,
Anette Reil-Held
Chancen und Risiken der „Riester-Rente“
03
36-03 Barbara Berkel
Axel Börsch-Supan
Pension Reform in Germany:
The Impact on Retirement Decisions
03
37-03 Axel Börsch-Supan,
Anette Reil-Held and
Christina Benita
Wilke
How to make a Defined Benefit System
Sustainable:
The “Sustainability Factor” in the German Benefit
Indexation Formula
03
38-03 Melanie Lührmann Demographic Change, Foresight and International
Capital Flows
03