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library(tidyverse, quietly = TRUE)
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#> ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
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#> ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
#> ✖ dplyr::filter() masks stats::filter()
#> ✖ dplyr::lag() masks stats::lag()
#> ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
library(MortalityTables)
mortalityTables.load("Austria_Census")
Annuity tables in Austria are traditionally published by the Actuarial Association of Austria (AVÖ).
[TODO: Get actual table data and publication]
mortalityTables.load("Austria_Annuities_RR67")
plotMortalityTables(RR67, mort.AT.census.1961.male)
EROM/F 85: gender-specific period tables, projected to year 2020 to account for mortality improvement
EROM/F G 1950: gender-specific cohort tables, base cohort 1950 with age-shifting to account for mortality improvement
Derived from population mortalities 1980/82 (improvements from population mortalities 1949/51 and 1980/82), with annuitants’ selection factors applied
First-order table without explicit security loadings
Usage: Individual Annuity pricing and reserving
Publisher: Aktuarvereinigung Österreichs (AVÖ), https://avoe.at/
Target collective: Individual annuitants
Usage with the MortalityTables
package:
mortalityTables.load("Austria_Annuities_EROMF")
EROM85.male
EROF85.female
EROM.G1950.male
EROM.G1950.male.av
EROF.G1950.female EROF.G1950.female.av
gender-specific cohort tables with age-specific trend to account for mortality improvement (approximation via age-shifting given alternatively)
Derived from population mortalities 1990/92 with annuitants’ selection factors applied
First-order table without explicit security loadings
Usage: Individual and Group Annuity pricing and reserving; Minimum required by Austrian Financial Authority until publication of successor table AVÖ 2005R
Publisher: Aktuarvereinigung Österreichs (AVÖ), https://avoe.at/
Target collective: Individual and group annuitants
Usage with the MortalityTables
package:
mortalityTables.load("Austria_Annuities_AVOe1996R")
AVOe1996R
AVOe1996R.male
AVOe1996R.male.av325
AVOe1996R.male.group
AVOe1996R.female
AVOe1996R.female.av325 AVOe1996R.female.group
gender-specific cohort tables with age-specific trend to account for mortality improvement (approximation via age-shifting given alternatively)
Derived from population mortalities 2000/02 with annuitants’ selection factors applied
First-order table with explicit security loadings and second-order table without security loadings
Usage: Individual and Group Annuity pricing and reserving; Current minimum required by Austrian Financial Authority
Publisher: Aktuarvereinigung Österreichs (AVÖ), https://avoe.at/
Target collective: Individual and group annuitants
Usage with the MortalityTables
package:
mortalityTables.load("Austria_Annuities_AVOe2005R")
AVOe2005R
AVOe2005R.male
AVOe2005R.male.group
AVOe2005R.male.av
AVOe2005R.male.group.av
AVOe2005R.male.unloaded
AVOe2005R.male.nodamping
AVOe2005R.male.nodamping.group
AVOe2005R.male.nodamping.unloaded
AVOe2005R.female
AVOe2005R.female.group
AVOe2005R.female.av
AVOe2005R.female.group.av
AVOe2005R.female.unloaded
AVOe2005R.female.nodamping
AVOe2005R.female.nodamping.group
AVOe2005R.female.nodamping.unloaded
AVOe2005R.unisex
AVOe2005R.unisex.group
AVOe2005R.unisex.av
AVOe2005R.unisex.group.av
AVOe2005R.unisex.nodamping AVOe2005R.unisex.nodamping.group
plotMortalityTables(RR67, EROM85.male, EROF85.female, EROM.G1950.male.av, EROF.G1950.female.av, AVOe1996R[, "Einzel"], AVOe2005R[c("m", "w"), "Einzel","loaded"],
aes = aes(color = year), Period = 2020, title = "Austrian Annuity Tables, Period 2020",
legend.position = "right"
+ facet_grid(sex ~ .) )
plotMortalityTables(RR67, EROM85.male, EROF85.female, EROM.G1950.male.av, EROF.G1950.female.av, AVOe1996R[, "Einzel"],AVOe2005R[c("m", "w"), "Einzel","loaded"],
aes = aes(color = year), YOB = 1965, title = "Austrian Annuity Tables, Cohort 1965",
legend.position = "right"
+ facet_grid(sex ~ .) )
MortalityTables
package:mortalityTables.load("Austria_Census")
mort.AT.census#> Jahr
#> Geschlecht 1869
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> u NA
#> Jahr
#> Geschlecht 1880
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> u NA
#> Jahr
#> Geschlecht 1890
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> u NA
#> Jahr
#> Geschlecht 1900
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> u NA
#> Jahr
#> Geschlecht 1910
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> u NA
#> Jahr
#> Geschlecht 1931
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> u NA
#> Jahr
#> Geschlecht 1951
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> u NA
#> Jahr
#> Geschlecht 1961
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> u NA
#> Jahr
#> Geschlecht 1971
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> u NA
#> Jahr
#> Geschlecht 1981
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> u NA
#> Jahr
#> Geschlecht 1991
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> u NA
#> Jahr
#> Geschlecht 2001
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> u <S4 class 'mortalityTable.mixed' [package "MortalityTables"] with 9 slots>
#> Jahr
#> Geschlecht 2011
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> u <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> Jahr
#> Geschlecht 2021
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> u <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
MortalityTables
package:mortalityTables.load("Austria_PopulationForecast")
mort.AT.forecastmortalityTables.load("Austria_PopulationObserved")
MortalityTables
package:mortalityTables.load("Austria_PopulationMCMC")
#> Lade nötiges Paket: reshape2
#> Warning: Paket 'reshape2' wurde unter R Version 4.2.3 erstellt
#>
#> Attache Paket: 'reshape2'
#> Das folgende Objekt ist maskiert 'package:tidyr':
#>
#> smiths
#> Lade nötiges Paket: pracma
#> Warning: Paket 'pracma' wurde unter R Version 4.2.3 erstellt
#>
#> Attache Paket: 'pracma'
#> Das folgende Objekt ist maskiert 'package:purrr':
#>
#> cross
#> Lade nötiges Paket: MortalityLaws
#> Warning: Paket 'MortalityLaws' wurde unter R Version 4.2.3 erstellt
mort.AT.MCMC
MortalityTables
package:mortalityTables.load("Austria_PopulationObserved")
mort.AT.observed.male
mort.AT.observed.female mort.AT.observed.unisex
plotMortalityTables(
c("m", "w"),],
mort.AT.census[
aes = aes(color = table),
legend.position = "right", legend.key.width = unit(2, "lines"),
title = "Comparison of Austrian Census Mortalities"
+ labs(color = NULL) + facet_grid(sex ~ .) )
plotMortalityTables(
c("m", "w"),"2011"],
mort.AT.census[%>% mT.setDimInfo(table = "Official forecast"),
mort.AT.forecast c("m", "w")] %>% mT.setDimInfo(table = "MCMC forecast"),
mort.AT.MCMC[
YOB = 1980,
aes = aes(color = table),
legend.position = "right", legend.key.width = unit(2, "lines"),
title = "Projected Austrian Population Mortalities, YOB 1980"
+ labs(color = NULL) + facet_grid(sex ~ .) )
plotMortalityTables(
mort.AT.observed.male,
mort.AT.observed.female,
mort.AT.observed.unisex,
YOB = 1940,
aes = aes(color = sex),
legend.position = "right", legend.key.width = unit(2, "lines"),
title = "Historic Austrian Population Mortalities (yearly raw observations), YOB 1940"
)#> Warning in deathProbabilities(t, YOB = YOB): deathProbabilities: Not all observation years 1940-2040 of observed mortalityTable are available, using closest observations.
#> Available periods: 1947-2022
#> Warning in deathProbabilities(t, YOB = YOB): deathProbabilities: Not all observation years 1940-2040 of observed mortalityTable are available, using closest observations.
#> Available periods: 1947-2022
#> Warning in deathProbabilities(t, YOB = YOB): deathProbabilities: Not all observation years 1940-2040 of observed mortalityTable are available, using closest observations.
#> Available periods: 2002-2022
# pensionTables.load("Austria_EttlPagler")
# EttlPagler.male
# EttlPagler.female
# pensionTables.load("Austria_AVOe1999P")
# AVOe1999P
# pensionTables.load("Austria_AVOe2008P")
# AVOe2008P
# pensionTables.load("Austria_AVOe2018P")
# AVOe2018P
MortalityTables
package:mortalityTables.load("Austria_VUGesamtbestand_2012-16")
VU.Gesamtbestand
VU.Gesamtbestand.Storno VU.Gesamtbestand.Detail
plotMortalityTables(VU.Gesamtbestand, legend.position = c(0.01, 0.99), legend.justification = c(0,1), title = "Austrian insurance portfolio moratlities 2012-16")
Source: G. Friesacher, Th. Spanninger, R. Kainhofer: Gesamtbestandstafel – Lebensversicherungsbestand in Österreich von 2012 bis 2016, Arbeitskreis Rechnungsgrundlagen, Aktuarvereinigung Österreichs (AVÖ), 24. Oktober 2019. https://avoe.at/referenzsterbetafel-und-stornovektor-des-gesamtbestands-2012-16/
MortalityTables
package:# mortalityTables.load("Austria_PK-Bestand_2010-16")
# PKBestandstafel.2010.16
# plotMortalityTables(PKBestandstafel.2010.16[,,"qx", "raw"], legend.position = "right", title = "Austrian pension fund mortalities 2010-16", aes = aes(color = type)) +
# facet_grid(sex ~ .) + labs(color = "Collective")
Tables in use:
[TODO: Get table data!] * Source: Lühr, K.-H.: Neue Sterbetafeln für die Rentenversicherung, Blätter DGVM XVII (1986), 485–513. https://link.springer.com/article/10.1007/BF02808817
MortalityTables
package:mortalityTables.load("Germany_Annuities_DAV1994R")
DAV1994R.male
DAV1994R.male.av
DAV1994R.female DAV1994R.female.av
MortalityTables
package: (only Aggregate
tables)mortalityTables.load("Germany_Annuities_DAV2004R")
DAV2004R.male.2Ord
DAV2004R.male
DAV2004R.male.av.2Ord
DAV2004R.male.av
DAV2004R.female.2Ord
DAV2004R.female
DAV2004R.female.av.2Ord DAV2004R.female.av
plotMortalityTables(
DAV1994R.male, DAV1994R.female, .2Ord,
DAV2004R.male, DAV2004R.male.2Ord,
DAV2004R.female, DAV2004R.female
Period = 2000, aes = aes(linetype = sex, color = interaction(year, data)),
legend.position = c(0.01, 0.99), legend.justification = c(0,1), legend.key.width = unit(2, "lines"),
title = "Comparison of German Annuity Tables, Period 2000"
+ labs(linetype = NULL, color = NULL) )
plotMortalityTrend(
DAV1994R.male, DAV1994R.female, .2Ord,
DAV2004R.male, DAV2004R.male.2Ord,
DAV2004R.female, DAV2004R.female
Period = 2000, aes = aes(linetype = sex, color = interaction(year, data)),
legend.position = c(0.99, 0.99), legend.justification = c(1,1), legend.key.width = unit(2, "lines"),
title = "Age-specific trends of German Annuity Tables, Period 2000"
+ labs(linetype = NULL, color = NULL) + theme(legend.box.just = "right") )
MortalityTables
package:mortalityTables.load("Germany_Census")
mort.DE.census#> Jahr
#> Geschlecht 1871/81
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> Jahr
#> Geschlecht 1881/90
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> Jahr
#> Geschlecht 1891/1900
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> Jahr
#> Geschlecht 1901/10
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> Jahr
#> Geschlecht 1910/11
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> Jahr
#> Geschlecht 1924/26
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> Jahr
#> Geschlecht 1932/34
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> Jahr
#> Geschlecht 1949/51
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> Jahr
#> Geschlecht 1960/62
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> Jahr
#> Geschlecht 1970/72
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> Jahr
#> Geschlecht 1986/88
#> m <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
#> w <S4 class 'mortalityTable.period' [package "MortalityTables"] with 8 slots>
plotMortalityTables(
mort.DE.census,
aes = aes(color = table),
legend.position = "right", legend.key.width = unit(2, "lines"),
title = "Comparison of German Census Mortalities"
+ labs(color = NULL) + facet_grid(sex ~ .) )
[TODO]
gender-specific cohort table for German whole life insurances
Based on the German Population Mortality Table 1986/88
Generated: Deutsche Aktuarvereinigung (DAV), “Life-Insurance” committee
Publisher: Deutsche Aktuarvereinigung (DAV), https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx
Usage with the MortalityTables
package:
mortalityTables.load("Germany_Endowments_DAV1994T")
DAV1994T.male.2Ord
DAV1994T.male
DAV1994T.female.2Ord DAV1994T.female
gender-specific cohort table for German whole life insurances
Based on reinsurance data 2001–2004 (47 German insurance companies)
Generated: Deutsche Aktuarvereinigung (DAV), “Life-Insurance” committee
Publisher: Deutsche Aktuarvereinigung (DAV), https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx
Minimum standard prescribed by the DAV to be used for reserving unit-linked, endowment and whole life insurances in Germany
Usage with the MortalityTables
package:
mortalityTables.load("Germany_Endowments_DAV2008T")
DAV2008T.male.2Ord
DAV2008T.male
DAV2008T.male.nonsmoker.2Ord
DAV2008T.male.nonsmoker
DAV2008T.male.smoker.2Ord
DAV2008T.male.smoker
DAV2008T.female.2Ord
DAV2008T.female
DAV2008T.female.nonsmoker.2Ord
DAV2008T.female.nonsmoker
DAV2008T.female.smoker.2Ord DAV2008T.female.smoker
plotMortalityTables(
.2Ord, DAV2008T.male, DAV2008T.male.2Ord, DAV2008T.male.nonsmoker, DAV2008T.male.smoker,
DAV1994T.male, DAV1994T.male.2Ord, DAV2008T.female, DAV2008T.female.2Ord, DAV2008T.female.nonsmoker, DAV2008T.female.smoker,
DAV1994T.female, DAV1994T.femaleaes = aes(color = interaction(year, collar), linetype = data), legend.position = "right", legend.key.width = unit(1.5, "lines"),
title = "German whole life mortality tables"
+ facet_grid(sex ~ .) )
[TODO] https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx
[TODO] https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx
[TODO] https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx
[TODO] https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx
[TODO]
[TODO]
[TODO]
[TODO]
[TODO]
[TODO]
https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx
[TODO]
Source: [https://content.naic.org/sites/default/files/pbr_data_valuation_manual_current_edition.pdf] (Appendix M)
[TODO]
Source: Society of Actuaries. RP-2014 Mortality Tables Report. Techn. Ber. Okt. 2014. URL: https://www.soa.org/experience-studies/2014/research-2014-rp/.
Source: Society of Actuaries. Mortality Improvement Scale MP-2014 Report. Techn. Ber. Okt. 2014. URL: https://www.soa.org/experience-studies/2014/research-2014-mp/.
These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.
Health stats visible at Monitor.