international mortality comparisons

66
June 23, 2003 AVW06230311 International Mortality Comparisons Richard MacMinn Edmondson-Miller Chair Katie School College of Business Illinois State University

Upload: sharlene-barbier

Post on 30-Dec-2015

22 views

Category:

Documents


1 download

DESCRIPTION

International Mortality Comparisons. Richard MacMinn Edmondson-Miller Chair Katie School College of Business Illinois State University. Opening comments. Data The Human Mortality Database Perspectives on international mortality data Period data Select birth cohorts - PowerPoint PPT Presentation

TRANSCRIPT

June 23, 2003 AVW06230311

International Mortality Comparisons

Richard MacMinnEdmondson-Miller Chair

Katie SchoolCollege of Business

Illinois State University

June 23, 2003 2

Opening comments

Data The Human Mortality Database

Perspectives on international mortality data

Period data Select birth cohorts

Rationales for mortality improvements

June 23, 2003 3

Objectives Look for common trends in mortality

improvement data Identify select birth cohorts Seek causal links for mortality

improvements Compare immediate annuity costs using

historical mortality data

June 23, 2003 4

Select birth cohorts A select cohort is a birth cohort

characterized by greater rates of mortality improvement that previous and subsequent generations.

A number of select birth cohorts have been identified in the literature England & Wales (1925-45), Sweden (1900-

10), and Japan (1910-20) More select birth cohorts are noted

here.

June 23, 2003 5

Select birth cohortsCountry Select cohort years

England & Wales 1925-44

Norway 1940-44

Sweden 1925-34

Denmark 1935-39

France 1935-44

Switzerland 1930-34

Italy 1910-19, 1930-39

Austria 1905-14, 1935-39

Japan 1910-19, 1940-44

United States 1910-19, 1930-39

June 23, 2003 6

England & Wales There are some

dramatic mortality improvements by period

The GAD identified generations born between 1925 and 1945 as select birth cohorts.

Mean mortality improvements jumped from a max of 1.8% to 3.8% for select cohorts.

The standard deviation jumped from .043 to .056

0 -

4

10 -

14

20 -

24

30 -

34

40 -

44

50 -

54

60 -

64

70 -

74

80 -

84

90 -

94

1995-98

1970-74

1945-49

1920-24

1895-99

1870-74

1845-49

-20.0%

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

25.0%

Mo

rtal

ity

Imp

rove

men

ts p

er a

nn

um

Age Bands

Time Periods

England & Wales Crude MaleMortality Improvement Rates1995-98

1990-94

1985-89

1980-84

1975-79

1970-74

1965-69

1960-64

1955-59

1950-54

1945-49

1940-44

1935-39

1930-34

1925-29

1920-24

1915-19

1910-14

1905-09

1900-04

1895-99

1890-94

1885-89

1880-84

1875-79

1870-74

1865-69

1860-64

1855-59

1850-54

1845-49

June 23, 2003 7

England & WalesEngland & Wales- Male

-25.0%

-20.0%

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

25.0%

1995

-98

1985

-89

1975

-79

1965

-69

1955

-59

1945

-49

1935

-39

1925

-29

1915

-19

1905

-09

1895

-99

1885

-89

1875

-79

1865

-69

1855

-59

1845

-49

Year

Imp

rove

men

t R

ates

0 - 4 5 - 9 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34

June 23, 2003 8

England & WalesEngland & Wales-Male

-10.0%

-8.0%

-6.0%

-4.0%

-2.0%

0.0%

2.0%

4.0%

6.0%

8.0%

10.0%

Year

Imp

rove

men

t R

ates

35 - 39 40 - 44 45 - 49 50 - 54 55 - 59 60 - 64 65 - 69

p

June 23, 2003 9

England & WalesEngland & Wales (Male Cohort )

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

25.0%

1920-24 1930-34 1940-44 1950-54 1960-64 1970-74 1980-85 1990-94

Date

Impr

ovem

ent

Rat

es

1920-24

1925-29

1930-34

1935-39

1940-44

1945-49

1950-54

June 23, 2003 10

England & Wales The next figure

compares immediate annuity costs for different birth cohorts.

At each date the figure provides the cost for an immediate annuity that covers the individual for age 25 through 45.

11.85

11.9

11.95

12

12.05

12.1

12.15

1846 1844 1842 1840 1838 1836 1834 1832 1830 1828 1826 1824 1822 1820 1818 1816

Birth year

Cost of unit life annuity due payable for ages 25-45

June 23, 2003 11

England & Wales

-4%

-3%

-2%

-1%

0%

1%

2%

3%

4%

5%

1846

1844

1842

1840

1838

1836

1834

1832

1830

1828

1826

1824

1822

1820

1818

Birth year

Change in cost of annuity

vs. previous birth year

June 23, 2003 12

England & Wales

12.99

13

13.01

13.02

13.03

13.04

13.05

13.06

13.07

13.08

1964 1962 1960 1958 1956 1954 1952 1950 1948 1946 1944 1942 1940 1938 1936 1934

Birth year

Cost of unit life annuity due payable for ages 25-45

June 23, 2003 13

England & Wales

-0.8%

-0.6%

-0.4%

-0.2%

0.0%

0.2%

0.4%

0.6%

0.8%

1.0%19

64

1962

1960

1958

1956

1954

1952

1950

1948

1946

1944

1942

1940

1938

1936

Birth year

Change in cost of annuity

vs. previous birth year

June 23, 2003 14

Norway There are some

dramatic mortality improvements by period Note the 1870’s

and late 1940’s. A 1940 select

birth cohort has been identified.

20 -

24

35 -

39

50 -

54

65 -

69

80 -

8420

00-0

4

1990

-94

1980

-84

1970

-74

1960

-64

1950

-54

1940

-44

1930

-34

1920

-24

1910

-14

1900

-04

1890

-94

1880

-84

1870

-74

1860

-64

1850

-54

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

Impr

ovem

ent R

ates

per

ann

um

Age BandsTime Periods

Norwegian Males-Crude Mortality Improvement Rates2000-04

1995-99

1990-94

1985-89

1980-84

1975-79

1970-74

1965-69

1960-64

1955-59

1950-54

1945-49

1940-44

1935-39

1930-34

1925-29

1920-24

1915-19

1910-14

1905-09

1900-04

1895-99

1890-94

1885-89

1880-84

1875-79

1870-74

1865-69

1860-64

1855-59

1850-54

June 23, 2003 15

NorwayNorway (Males)

-20.0%

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

25.0%

Time

Imp

rove

men

t R

ates

0 - 4 5 - 9 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34

June 23, 2003 16

NorwayNorway (Males)

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

Time

Imp

rove

men

t R

ates

35 - 39 40 - 44 45 - 49 50 - 54 55 - 59 60 - 64 65 - 69

June 23, 2003 17

NorwayNorway (Male Cohort)

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

25.0%

1935-39 1945-49 1955-59 1965-69 1975-79 1985-89 1995-99

Date

Impr

ovem

ent

Rat

esN

1935-39

1940-44

1945-49

June 23, 2003 18

Sweden There are some

dramatic mortality improvements by period

Note 1915-19 and the early 1940’s.

1925 and 1930 select birth cohorts have been identified.

The mean mortality improvement increased and the standard deviation decreased for the select cohorts.

20 -

24

35 -

39

50 -

54

65 -

69

2000

-200

1

1990

-94

1980

-84

1970

-74

1960

-64

1950

-54

1940

-44

1930

-34

1920

-24

1910

-14

1900

-04

1890

-94

1880

-84

1870

-74

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

25.0%

30.0%

Improvement Rates per annum

Age Bands Time Periods

Sweden Males-Crude Mortality Improvement Rates

2000-2001

1995-99

1990-94

1985-89

1980-84

1975-79

1970-74

1965-69

1960-64

1955-59

1950-54

1945-49

1940-44

1935-39

1930-34

1925-29

1920-24

1915-19

1910-14

1905-09

1900-04

1895-99

1890-94

1885-89

1880-84

1875-79

1870-74

1865-69

June 23, 2003 19

SwedenSweden Males

-20.0%

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

25.0%

30.0%

Time

Imp

rove

men

t R

ates

0 - 4 5 - 9 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34

June 23, 2003 20

SwedenSweden Males

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

25.0%

Time

Imp

rove

men

t R

ates

35 - 39 40 - 44 45 - 49 50 - 54 55 - 59 60 - 64 65 - 69

June 23, 2003 21

SwedenSweden (Male Cohort)

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

25.0%

30.0%

1920-24 1930-34 1940-44 1950-54 1960-64 1970-74 1980-84 1990-94 2000-01

Date

Impr

ovem

ent

Rat

es

1920-24

1925-29

1930-34

1935-39

June 23, 2003 22

Denmark There are some

dramatic improvements in the 1940’s

1925 and 1935 exhibit select cohorts properties 20

- 24

30 -

34

40 -

44

50 -

54

60 -

64

70 -

74

2000

-04

1995

-99

1990

-94

1985

-89

1980

-84

1975

-79

1970

-74

1965

-69

1960

-64

1955

-59

1950

-54

1945

-49

1940

-44

1935

-39

1930

-34

1925

-29

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

Impr

ovem

ent

Rat

es p

er a

nnum

Age Bands Time Periods

Danish Males-Crude Mortality Improvement Rates

2000-04

1995-99

1990-94

1985-89

1980-84

1975-79

1970-74

1965-69

1960-64

1955-59

1950-54

1945-49

1940-44

1935-39

1930-34

1925-29

June 23, 2003 23

DenmarkDanish Males

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

2000-041990-941980-841970-741960-641950-541940-441930-34

Time

Impro

vem

ent

Rat

es

0 - 4 5 - 9 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34

June 23, 2003 24

DenmarkDanish Males

-4.0%

-2.0%

0.0%

2.0%

4.0%

6.0%

8.0%

10.0%

2000-041990-941980-841970-741960-641950-541940-441930-34

Time

Impro

vem

ent

Rat

es

35 - 39 40 - 44 45 - 49 50 - 54 55 - 59 60 - 64 65 - 69

June 23, 2003 25

DenmarkDenmark (Male Cohort)

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

1930-34 1940-44 1950-54 1960-64 1970-74 1980-85 1990-94 2000-04

Date

Impr

ovem

ent

Rat

es

1930-34

1935-39

1940-44

June 23, 2003 26

France There are

dramatic period effects subsequent to 1915 and 1945.

A 1935 select cohort seems to exist

0 -

4

10 -

14

20 -

24

30 -

34

40 -

44

50 -

54

60 -

64

70 -

74

80 -

84

90 -

94

1995-97

1980-84

1965-69

1950-54

1935-391920-24

1905-09

-70.0%

-60.0%

-50.0%

-40.0%

-30.0%

-20.0%

-10.0%

0.0%

10.0%

20.0%

30.0%

40.0%

Impr

ovem

ent R

ates

Age Band

Time

Franch Male-Crude Mortality Improvement Rates

1995-97

1990-94

1985-89

1980-84

1975-79

1970-74

1965-69

1960-64

1955-59

1950-54

1945-49

1940-44

1935-39

1930-34

1925-29

1920-24

1915-19

1910-14

1905-09

June 23, 2003 27

FranceFrance-Male

-80.0%

-60.0%

-40.0%

-20.0%

0.0%

20.0%

40.0%

Time

Impr

ovem

ent R

ates

0 - 4 5 - 9 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34

June 23, 2003 28

FranceFrance-Male

-30.0%

-25.0%

-20.0%

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

1995-971985-891975-791965-691955-591945-491935-391925-291915-191905-09

Time

Impr

ovem

ent R

ates

35 - 39 40 - 44 45 - 49 50 - 54 55 - 59 60 - 64 65 - 69

June 23, 2003 29

FranceCohort Year

-30.0%

-25.0%

-20.0%

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

25.0%

Age Band

Impr

ovem

ent R

ates

1910

1915

1920

June 23, 2003 30

FranceFrance (Male Chort)

-25.0%

-20.0%

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

25.0%

Date

Impr

ovem

ent

Rat

es

1930-34

1935-39

1940-44

June 23, 2003 31

West Germany Some dramatic

period effects exist, e.g., 1965.

1905, 1910 and 1915 exhibit select birth cohort effects

20 - 24

30 - 34

40 - 44

50 - 54

60 - 64

70 - 741995-

99

1990-94

1985-89

1980-84

1975-79

1970-74

1965-69

1960-64

-3.0%

-2.0%

-1.0%

0.0%

1.0%

2.0%

3.0%

4.0%

5.0%

6.0%

7.0%

Imp

rove

men

t R

ates

per

an

nu

m

Age Bands

Time Periods

West Germany-Crude Mortality Improvement Rates

1995-99

1990-94

1985-89

1980-84

1975-79

1970-74

1965-69

1960-64

June 23, 2003 32

West GermanyWest Germany- Male

-6.0%

-4.0%

-2.0%

0.0%

2.0%

4.0%

6.0%

8.0%

10.0%

1995-991990-941985-891980-841975-791970-741965-691960-64

Year

Impr

ovem

ent

Rat

es

0 - 4 5 - 9 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34

June 23, 2003 33

West GermanyWest Germany-Male

-3.0%

-2.0%

-1.0%

0.0%

1.0%

2.0%

3.0%

4.0%

5.0%

6.0%

7.0%

1995-991990-941985-891980-841975-791970-741965-691960-64

Year

Impr

ovem

ent

RA

TE

S

35 - 39 40 - 44 45 - 49 50 - 54 55 - 59 60 - 64 65 - 69

June 23, 2003 34

West GermanyWest Germany-Male Cohort Year

-0.03

-0.02

-0.01

0

0.01

0.02

0.03

0.04

0.05

1960-64 1965-69 1970-74 1975-79 1980-84 1985-89 1990-94 1995-99

Time

Impr

ovem

ent

Rat

es

1900-04

1905-09

1910-14

1915-19

1920-24

June 23, 2003 35

Switzerland There are quite

dramatic period effects for the 1920’s and 1940’s

1930 and 1950 exhibit select cohort properties

10 -

14

20 -

24

30 -

34

40 -

44

50 -

54

60 -

64

2000

-200

1

1990

-94

1980

-84

1970

-74

1960

-64

1950

-54

1940

-44

1930

-34

1920

-24

1910

-191

4

1900

-04

1890

-94

1880

-84

-25.0%

-20.0%

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

Impr

ovem

ent R

ates

per

ann

um

Age Bands

Time Periods

Switzerland Males-Crude Mortality Improvement Rates

2000-2001

1995-99

1990-94

1985-89

1980-84

1975-79

1970-74

1965-69

1960-64

1955-59

1950-54

1945-49

1940-44

1935-39

1930-34

1925-29

1920-24

1915-1919

1910-1914

1905-09

1900-04

1895-99

1890-94

1885-89

1880-84

June 23, 2003 36

SwitzerlandSwitzerland-Male

-25.0%

-20.0%

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

Time

Impr

ovem

ent R

ates

0 - 4 5 - 9 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34

June 23, 2003 37

SwitzerlandSwitzerland-Male

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

Time

Impr

ovem

ent R

ates

35 - 39 40 - 44 45 - 49 50 - 54 55 - 59 60 - 64 65 - 69

June 23, 2003 38

SwitzerlandSwitzerland (Male Cohort)

-4.0%

-2.0%

0.0%

2.0%

4.0%

6.0%

8.0%

10.0%

12.0%

14.0%

1925-29 1935-39 1945-49 1955-59 1965-69 1975-79 1985-89 1995-99

Date

Impr

ovem

ent

Rat

es

1925-29

1930-34

1935-39

June 23, 2003 39

SwitzerlandSwitzeland-Male Cohort

-12.0%

-10.0%

-8.0%

-6.0%

-4.0%

-2.0%

0.0%

2.0%

4.0%

6.0%

8.0%

10.0%

1945-49 1955-59 1965-69 1975-79 1985-89 1995-99

Time

Impr

ovem

ent

Rat

es

1945-49

1950-54

1955-59

June 23, 2003 40

Italy There are dramatic

positive and negative effects in the 1940’s.

The 1915, 1930 and 1935 cohorts exhibit select properties.

The 1915 and 1935 cohorts exhibit higher mean mortality improvements and lower standard deviations that surrounding cohorts

10 - 14 20 - 24 30 - 34 40 - 44 50 - 54 60 - 64 70 - 74

1995-99

1980-84

1965-69

1950-54

1935-39

1920-24

-30.0%

-20.0%

-10.0%

0.0%

10.0%

20.0%

30.0%

Mor

tality

Im

prov

emen

ts

Age Band

Time Periods

Italy Crude Male Mortality Improvement Rates

1995-99

1990-94

1985-89

1980-84

1975-79

1970-74

1965-69

1960-64

1955-59

1950-54

1945-49

1940-44

1935-39

1930-34

1925-29

1920-24

1915-19

1910-14

June 23, 2003 41

ItalyItaly Males

-30.0%

-20.0%

-10.0%

0.0%

10.0%

20.0%

30.0%

Date

Imp

rove

men

t R

ates

0 - 4 5 - 9 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34

June 23, 2003 42

ItalyItaly Males

-25.0%

-20.0%

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

Date

Imp

rove

men

t R

ates

35 - 39 40 - 44 45 - 49 50 - 54 55 - 59 60 - 64 65 - 69

June 23, 2003 43

ItalyCohort Years

-30.0%

-25.0%

-20.0%

-15.0%

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

20.0%

25.0%

30.0%

1910

-14

1920

-24

1930

-34

1940

-44

1950

-54

1960

-64

1970

-74

1980

-85

1990

-94

Date

Impr

ovem

ent R

ates

1910-14

1915-19

1920-24

1925-29

June 23, 2003 44

ItalyCohort Years

-30.0%

-20.0%

-10.0%

0.0%

10.0%

20.0%

30.0%

1925

-29

1935

-39

1945

-49

1955

-59

1965

-69

1975

-79

1985

-89

1995

-99

Date

Impr

ovem

ent R

ates

1925-29

1930-34

1935-39

1940-44

June 23, 2003 45

Austria There is a

significant negative mortality effect in the 1960’s similar to other countries.

The 1900, 1905, 1910, 1915 and 1935 cohorts exhibit select properties

20 - 2430 - 34

40 - 4450 - 54

60 - 64

70 - 74

1995

-99

1990

-94

1985

-89

1980

-84

1975

-79

1970

-74

1965

-69

1960

-64

1955

-59

-4.0%

-2.0%

0.0%

2.0%

4.0%

6.0%

8.0%

10.0%

Impr

ovem

ent

Rat

es p

er a

nnum

Age Bands Time Periods

Austrian Males-Curde Mortality Improvement Rates

1995-99

1990-94

1985-89

1980-84

1975-79

1970-74

1965-69

1960-64

1955-59

June 23, 2003 46

AustriaAustrian Males

-10.0%

-5.0%

0.0%

5.0%

10.0%

15.0%

1995-991990-941985-891980-841975-791970-741965-691960-641955-591950-54

Time

Impro

vem

ent

Rat

es

0 - 4 5 - 9 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34

June 23, 2003 47

AustriaAustrian Males

-4.0%

-2.0%

0.0%

2.0%

4.0%

6.0%

8.0%

1995-991990-941985-891980-841975-791970-741965-691960-641955-591950-54

Time

Impro

vem

ent

Rat

es

35 - 39 40 - 44 45 - 49 50 - 54 55 - 59 60 - 64 65 - 69

June 23, 2003 48

AustriaAustria Cohort Years

-6.0%

-4.0%

-2.0%

0.0%

2.0%

4.0%

6.0%

8.0%

1950-54 1955-59 1960-64 1965-69 1970-74 1975-79 1980-84 1985-89 1990-94 1995-99

Time

Impr

ovem

ent

Rat

es 1895-99

1900-04

1905-09

1910-14

1915-19

1920-24

June 23, 2003 49

AustriaAustria Cohort

-8.0%

-6.0%

-4.0%

-2.0%

0.0%

2.0%

4.0%

6.0%

8.0%

10.0%

12.0%

1950-54 1955-59 1960-64 1965-69 1970-74 1975-79 1980-84 1985-89 1990-94 1995-99

Date

Impr

ovem

ent

Rat

es

1930-34

1935-39

1940-44

June 23, 2003 50

Japan Significant period

effects persisted into the 1950’s at early ages.

The 1910, 1915 and 1935 cohorts exhibit select properties

20 - 24

30 - 34

40 - 44

50 - 54

60 - 64

70 - 74

1995

-99

1990

-94

1985

-89

1980

-84

1975

-79

1970

-74

1965

-69

1960

-64

1955

-59

1950

-54

-2.0%

0.0%

2.0%

4.0%

6.0%

8.0%

10.0%

12.0%

14.0%

Impro

vem

ent

Rat

es p

er a

nnum

Age bands

Time Periods

Japanese Male-Crude Mortality Improvement Rates

1995-99

1990-94

1985-89

1980-84

1975-79

1970-74

1965-69

1960-64

1955-59

1950-54

June 23, 2003 51

JapanJapanese-Male

-4%

-2%

0%

2%

4%

6%

8%

10%

12%

14%

16%

1995-991990-941985-891980-841975-791970-741965-691960-641955-591950-54

Time Period

Impro

vem

ent

Rat

es

0 - 4 5 - 9 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34

June 23, 2003 52

JapanJapanese-Male

-4%

-2%

0%

2%

4%

6%

8%

10%

12%

1995-991990-941985-891980-841975-791970-741965-691960-641955-591950-54

Time periods

Impro

vem

ent

Rat

es

35 - 39 40 - 44 45 - 49 50 - 54 55 - 59 60 - 64 65 - 69

June 23, 2003 53

JapanJapanese Male Cohort Year

0%

2%

4%

6%

8%

10%

12%

1950-54 1955-59 1960-64 1965-69 1970-74 1975-79 1980-84 1985-89 1990-94 1995-99

Date

Impro

vem

ent

Rat

es

1900-04

1905-09

1910-14

1915-19

1920-24

June 23, 2003 54

JapanJapanese Male Cohort Years

-2%

0%

2%

4%

6%

8%

10%

12%

14%

1950-54 1955-59 1960-64 1965-69 1970-74 1975-79 1980-84 1985-89 1990-94 1995-99

Date

Impro

vem

ent

Rat

es

1930-34

1935-39

1940-44

June 23, 2003 55

Japan The next figure

compares immediate annuity costs for different birth cohorts.

At each date the figure provides the cost for an immediate annuity that covers the individual for age 25 through 45.

12.6

12.65

12.7

12.75

12.8

12.85

12.9

12.95

13

13.05

13.1

1955 1953 1951 1949 1947 1945 1943 1941 1939 1937 1935 1933 1931 1929 1927 1925

Birth year

Cost of unit life annuity due payable for

ages 25-45

June 23, 2003 56

Japan

-0.02

-0.01

0

0.01

0.02

0.03

0.04

0.05

1955

1953

1951

1949

1947

1945

1943

1941

1939

1937

1935

1933

1931

1929

1927

Birth year

Change in cost of annuity

vs. previous birth year

June 23, 2003 57

United States Significant period

effects occurred in the 1960’s and 1980’s.

The 1915, 1930 and 1935 cohorts exhibit select properties

1995

-99

1985

-89

1975

-79

1965

-69

-6.0%

-4.0%

-2.0%

0.0%

2.0%

4.0%

6.0%

8.0%

10.0%

Mor

tali

ty Im

prov

emen

ts p

er a

nnum

Age Bands

Time Periods

The U.S Males-Crude Mortality Improvement Rates

1995-99

1990-94

1985-89

1980-84

1975-79

1970-74

1965-69

1960-64

June 23, 2003 58

United StatesU.S. Male

-6.0%

-5.0%

-4.0%

-3.0%

-2.0%

-1.0%

0.0%

1.0%

2.0%

3.0%

4.0%

5.0%

6.0%

7.0%

8.0%

9.0%

10.0%

11.0%

Date

Impr

ovem

ent R

ates

0 - 4 5 - 9 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34

June 23, 2003 59

United StatesU.S. Males

-5.0%

-4.0%

-3.0%

-2.0%

-1.0%

0.0%

1.0%

2.0%

3.0%

4.0%

5.0%

6.0%

7.0%

8.0%

9.0%

Time

Impr

ovem

ent R

ates

35 - 39 40 - 44 45 - 49 50 - 54 55 - 59 60 - 64 65 - 69

June 23, 2003 60

United StatesU.S. Cohort Years

-1.0%

-0.5%

0.0%

0.5%

1.0%

1.5%

2.0%

2.5%

3.0%

1960-64 1965-69 1970-74 1975-79 1980-84 1985-89 1990-94 1995-99

Date

Impr

ovem

ent

Rat

es

1905-09

1910-14

1915-19

1920-24

June 23, 2003 61

United StatesU.S. Cohort Years

-3.0%

-2.0%

-1.0%

0.0%

1.0%

2.0%

3.0%

4.0%

1960-64 1965-69 1970-74 1975-79 1980-84 1985-89 1990-94 1995-99

Date

Impr

ovem

ent

Rat

es

1925-29

1930-34

1935-39

1940-44

June 23, 2003 62

United States The next figure

compares immediate annuity costs for different birth cohorts.

At each date the figure provides the cost for an immediate annuity that covers the individual for age 25 through 45.

12.925

12.93

12.935

12.94

12.945

12.95

12.955

12.96

12.965

12.97

12.975

12.98

1956 1954 1952 1950 1948 1946 1944 1942 1940 1938 1936 1934

Birth year

Cost of unit life annuity due payable for ages 25-45

June 23, 2003 63

United States

-1.5%

-1.0%

-0.5%

0.0%

0.5%

1.0%

1.5%

2.0%19

56

1955

1954

1953

1952

1951

1950

1949

1948

1947

1946

1945

1944

1943

1942

1941

1940

1939

1938

1937

1936

1935

Birth year

Change in cost of annuity

vs. previous birth year

June 23, 2003 64

Annuity comparisons The figure

provides a comparison of immediate annuity costs for Japan, England & Wales and the United States

12.86

12.88

12.9

12.92

12.94

12.96

12.98

13

13.02

13.04

13.06

13.08

1956 1955 1954 1953 1952 1951 1950 1949 1948 1947 1946 1945 1944 1943 1942 1941 1940 1939 1938 1937 1936 1935 1934

Birth year

Cost of life annuity due ages 25-45

USA England & Wales J apan

June 23, 2003 65

Annuity comparisons The correlation

between the change in costs is significant. The correlation between the: US and England &

Wales is 59% US and Japan is 52% England & Wales

and Japan is 33%-0.015

-0.01

-0.005

0

0.005

0.01

0.015

0.02

1956 1955 1954 1953 1952 1951 1950 1949 1948 1947 1946 1945 1944 1943 1942 1941 1940 1939 1938 1937 1936 1935

Birth year

Change in cost of life annuity due ages 25-45

USA England & Wales J apan

June 23, 2003 66

Close

The mortality experience in the countries investigated exhibit similar trends from both a period and a cohort perspective.

The similar mortality experience is confirmed by the sizable correlation between the changes in annuity costs.