diff --git a/vignettes/international-mortality-tables-overview.Rmd b/vignettes/international-mortality-tables-overview.Rmd new file mode 100644 index 0000000000000000000000000000000000000000..7e19c0b6c0cad77425ba9dace62eb7f98851a722 --- /dev/null +++ b/vignettes/international-mortality-tables-overview.Rmd @@ -0,0 +1,707 @@ +--- +title: "International Mortality Tables Overview" +date: "`r Sys.Date()`" +output: + rmarkdown::html_vignette: + toc: true + toc_depth: 2 + fig_width: 7 + fig_height: 5 + number_sections: true +vignette: > + %\VignetteIndexEntry{International Mortality Tables Overview} + %\VignetteEngine{knitr::rmarkdown} + %\VignetteEncoding{UTF-8} +--- + +```{r, include = FALSE} +knitr::opts_chunk$set( + collapse = TRUE, + comment = "#>" +) +``` + +```{r setup} +library(magrittr) +library(MortalityTables) +mortalityTables.load("Austria_Census") +``` + + + + + + +<!-- ################################################################################ --> +<!-- ################################################################################ --> +<!-- #### AUSTRIA ##### --> +<!-- ################################################################################ --> +<!-- ################################################################################ --> + + + +# Austria + +## Annuities + +Annuity tables in Austria are traditionally published by the [Actuarial Association of Austria (AVÖ)](https://avoe.at/rechnungsgrundlagen/). + +### ÖVM 59/61 - RR 67 + +[TODO: Get actual table data and publication] +* Source: H. Nabl: ÖVM 59/61 - RR67 - 3%, Die Versicherungsrundschau, 22. Jahrgang, Heft 12, Dez. 1967, p.373--380. + +```{r} +mortalityTables.load("Austria_Annuities_RR67") +plotMortalityTables(RR67, mort.AT.census.1961.male) +``` + +### EROM/F 85 (Period table 2020), EROM/F G 1950 (Cohort table with age shift) + +* EROM/F 85: gender-specific period tables, projected to year 2020 to account for mortality improvement + * male+female, ages 0-99 +* EROM/F G 1950: gender-specific cohort tables, base cohort 1950 with age-shifting to account for mortality improvement + * male+female, ages 0-99 +* 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: +```{r EROMF85, results="hide"} +mortalityTables.load("Austria_Annuities_EROMF") +EROM85.male +EROF85.female + +EROM.G1950.male +EROM.G1950.male.av +EROF.G1950.female +EROF.G1950.female.av +``` +* Source: F.G. Liebmann, W. Schachermayer, M. Willomitzer: Zur Erstellung von Sterbetafeln EROM 85 und EROF 85, Mitteilungen der Aktuarvereinigung Österreichs, Heft 4, Dezember 1986, p. 1--52. +* Source: F.G. Liebmann, W. Schachermayer, M. Willomitzer: Die Generationen-Sterbetafeln EROM G 1950 und EROF G 1950, Mitteilungen der Aktuarvereinigung Österreichs, Heft 4, Dezember 1986, p. 54--94. + +### AVÖ 1996-R + +* gender-specific cohort tables with age-specific trend to account for mortality improvement (approximation via age-shifting given alternatively) + * male+female, ages 0-112, individual and group variants +* Derived from population mortalities 1990/92 with annuitants' selection factors applied + * Trend factors derived from short-term population trend 1980--95 and long-term population trend 1865--1990 +* 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: +```{r AVOe1996R, results="hide"} +mortalityTables.load("Austria_Annuities_AVOe1996R") +AVOe1996R +AVOe1996R.male +AVOe1996R.male.av325 +AVOe1996R.male.group +AVOe1996R.female +AVOe1996R.female.av325 +AVOe1996R.female.group +``` +* Source: S. Jörgen, F.G. Liebmann, F.W. Pagler, W. Schachermayer: Herleitung der Sterbetafel AVÖ 1996R für Rentenversicherungen, Mitteilungen der Aktuarvereinigung Österreichs, Heft 9, November 1997, p. 39--82. + + + +### AVÖ 2005-R + +* gender-specific cohort tables with age-specific trend to account for mortality improvement (approximation via age-shifting given alternatively) + * male+female, ages 0-112, individual and group variants + * unisex table published 2012 by mixing male+female tables +* Derived from population mortalities 2000/02 with annuitants' selection factors applied + * Trend factors derived from mid-term population trend 1970--2000 +* 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: +```{r AVOe2005R, results="hide"} +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 +``` +* Sources: + * R. Kainhofer, M. Predota, U. Schmock: [https://avoe.at/rententafel-avoe-2005r/](The New Austrian Annuity Valuation Table AVÖ 2005R), Mitteilungen der Aktuarvereinigung Österreichs, Heft 13, pp.55--135, http://avoe.at/pdf/mitteilungen/H13_w3.pdf + * Aktuarvereinigung Österreichs: [https://avoe.at/rententafel-avoe-2005r-unisex/](Konstruktion der Unisex-Rententafel AVÖ 2005 R unisex), 2012 + * R. Kainhofer: [https://avoe.at/zur-angemessenheit-der-rententafel-avoe-2005-r/](Zur Angemessenheit der REntentafel AVÖ 2005-R), Arbeitskreis Rechnungsgrundlagen, Aktuarvereinigung Österreichs (AVÖ), 24.Oktober 2019 + + + + + +### Comparisons + +```{r AT.Annuity.Comparison} +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 ~ .) + +``` + + +## Population Mortality (Austrian Census tables) + +#### Census tables + +* gender-specific period tables + * male+female, unisex only 2000/02 and 2010/12; ages 0--95, from 1930 on 0--100 +* Based on the official census data: + * 1868/71 + * 1879/82 + * 1889/92 + * 1899/1902 + * 1909/12 + * 1930/33 + * 1949/51 + * 1959/61 + * 1970/72 + * 1980/82 + * 1990/92 + * 2000/02 + * 2010/12 +* Usage with the `MortalityTables` package: +```{r ÖVSt} +mortalityTables.load("Austria_Census") +mort.AT.census +``` +* Source: [Statistik Austria](http://statistik.at/web_de/statistiken/menschen_und_gesellschaft/bevoelkerung/sterbetafeln/index.html), http://statistik.at/wcm/idc/idcplg?IdcService=GET_NATIVE_FILE&RevisionSelectionMethod=LatestReleased&dDocName=022541 + + +### Official population forecast (by Statistik Austria) + +* Gender-specific forecast (middle scenario) of the mortalities to 2080 +* Provided by Statistik Austria (no formal publication of the tables), can be used freely with attribution +* Usage with the `MortalityTables` package: +```{r AT.PopulationForecast, results="hide"} +mortalityTables.load("Austria_PopulationForecast") +mort.AT.forecast +mortalityTables.load("Austria_PopulationObserved") +``` + +### Markov-Chain-Monte-Carlo-fitted population forecast (by J. Hirz) + +* Gender-specific forecast (middle scenario) of the mortalities by a MCMC-fit of age-specific trend factors +* Derived for the Austrian pension Table AVÖ 2018-P. +* Creator: Jonas Hirz +* Usage with the `MortalityTables` package: +```{r AT.PopulationForecastMCMC, results="hide"} +mortalityTables.load("Austria_PopulationMCMC") +mort.AT.MCMC +``` + +* Source: R. Kainhofer, J. Hirz, A. Schubert: AVÖ 2018-P - Rechnungsgrundlagen für die Pensionsversicherung, Dokumentation der Pensionstafel, Arbeitskreis Rechnungsgrundlagen, Aktuarvereinigung Österreichs (AVÖ), 30. August 2018. https://oefdv.avoe.at/rechnungsgrundlagen/ + + +### Observed population mortalities 1947--2016 (by Statistik Austria) + +* Gender-specific observations of the mortalities from1947 +* Provided by Statistik Austria (no formal publication of the tables), can be used freely with attribution +* Usage with the `MortalityTables` package: +```{r AT.Observation, results="hide"} +mortalityTables.load("Austria_PopulationObserved") +mort.AT.observed.male +mort.AT.observed.female +mort.AT.observed.unisex + +``` + +### Comparison + +```{r AT.Census.Comparison} +plotMortalityTables( + mort.AT.census[c("m", "w"),], + + 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 ~ .) +``` + +```{r AT.Census.Projections} +plotMortalityTables( + mort.AT.census[c("m", "w"),"2011"], + mort.AT.forecast %>% mT.setDimInfo(table = "Official forecast"), + mort.AT.MCMC[c("m", "w")] %>% mT.setDimInfo(table = "MCMC forecast"), + + 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 ~ .) +``` + +```{r AT.population.History} +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" +) +``` + +## Occupational Pensions + +### Ettl-Pagler + +* gender-specific period tables for active and disabled persons (also transitions), as well as pensioners and widows +* second-order table, describing the transition probabilities of the Austrian social security system + +```{r EttlPager, results="hide"} +pensionTables.load("Austria_EttlPagler") +EttlPagler.male +EttlPagler.female +``` + +* Source: Ettl W. und Pagler F.: "Rechnungsgrundlagen für die Pensionsversicherung", +Verlag: Verband der wissenschaftlichen Gesellschaften Österreichs, Wien, 1989 + +### AVÖ 1999-P - Rechnungsgrundlagen für die Pensionsversicherung - Pagler-Pagler + +* gender-specific period tables for active and disabled persons (also transitions), as well as pensioners and widows + * 2 Variants: "P" for pension reserves, "PK" for pension funds + * 2 collectives: White-collar workers ("Angestellte") and mixed collective of white- and blue-collar workers +* second-order table, describing the transition probabilities of the Austrian social security system +* Publisher: Aktuarvereinigung Österreichs (AVÖ), Creator: Pagler & Pagler +* No documentation available + +```{r AVOe1999P, results="hide"} +pensionTables.load("Austria_AVOe1999P") +AVOe1999P +``` + + +### AVÖ 2008-P - Rechnungsgrundlagen für die Pensionsversicherung - Pagler-Pagler + +* gender-specific period tables for active and disabled persons (also transitions), as well as pensioners and widows + * 2 Variants: "P" for pension reserves, "PK" for pension funds + * 2 collectives: White-collar workers ("Angestellte") and mixed collective of white- and blue-collar workers +* second-order table, describing the transition probabilities of the Austrian social security system +* Publisher: Aktuarvereinigung Österreichs (AVÖ), Creator: Pagler & Pagler +* No documentation available + +```{r AVOe2008P, results="hide"} +pensionTables.load("Austria_AVOe2008P") +AVOe2008P +``` + + +### AVÖ 2018-P - Rechnungsgrundlagen für die Pensionsversicherung + +* gender-specific period tables for active and disabled persons (also transitions), as well as pensioners and widows + * 2 Variants: "Rehageld" ("rehab money") considered as invalidity or considered as active + * 2 collectives: White-collar workers ("Angestellte") and mixed collective of white- and blue-collar workers +* second-order table, describing real the transition probabilities of the Austrian social security system (2000/2010 -- 2016) +* Publisher: Aktuarvereinigung Österreichs (AVÖ), Creator: R. Kainhofer, J. Hirz, A. Schubert + +```{r AVOe2018P, results="hide"} +pensionTables.load("Austria_AVOe2018P") +AVOe2018P +``` +* Source: R. Kainhofer, J. Hirz, A. Schubert: AVÖ 2018-P - Rechnungsgrundlagen für die Pensionsversicherung, Dokumentation der Pensionstafel, Arbeitskreis Rechnungsgrundlagen, Aktuarvereinigung Österreichs (AVÖ), 30. August 2018. https://oefdv.avoe.at/rechnungsgrundlagen/ + +### Comparisons +```{r AT.pensionTables.Comparison} +plotMortalityTables( + EttlPagler.male %>% pT.getSubTable("qx"), + AVOe1999P["m",,"IP", "P"] %>% pT.getSubTable("qx"), + AVOe2008P["m",,"IP", "P"] %>% pT.getSubTable("qx"), + AVOe2018P["m",,"IPRG"] %>% pT.getSubTable("qx"), + legend.position = c(0.01, 0.99), legend.justification = c(0,1), + title = "Comparison of Austrian Pension Tables" +) + labs(color = NULL) + +plotMortalityTables( + EttlPagler.male %>% pT.getSubTable("hx"), + AVOe1999P["m",,"IP", "P"] %>% pT.getSubTable("hx"), + AVOe2008P["m",,"IP", "P"] %>% pT.getSubTable("hx"), + AVOe2018P["m",,"IPRG"] %>% pT.getSubTable("hx"), + # legend.position = c(0.01, 0.99), legend.justification = c(0,1), + title = "Comparison of Austrian Pension Tables", + log = FALSE, legend.position = "bottom" +) + labs(color = NULL) +``` + +## Experience Tables + +### Gesamtbestand (total portfolio) of life insurance companies 2012--16 + +* gender-specific experience tables (period tables for 2012--16, central year 2014) for the whole Austrian insurance portfolio + * separated into tradiional and unit-linlked contracts +* Experience mortality and lapse rates for the total portfolio of all Austrian Life insurance companies, 2012-2016 +* Publisher: Aktuarvereinigung Österreichs (AVÖ) +* Creator: G. Friesacher, Th. Spanninger, R. Kainhofer + Usage with the `MortalityTables` package: +```{r VUGesamtbestand, results = "hide"} +mortalityTables.load("Austria_VUGesamtbestand_2012-16") +VU.Gesamtbestand +VU.Gesamtbestand.Storno +VU.Gesamtbestand.Detail +``` +```{r VUGesamtbestand.vergleich} +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/ + + +### Gesamtbestand (total portfolio) of Austrian Pension Funds (Pensionskassen) 2010--16 + +* gender-specific experienc tables (period tables for 2010--16, central year 2013) for the four largest Austrian pension funds + * mortalities and lapse rates +* Experience mortality and lapse rates for the total portfolio of the four largest Austrian pension funds, 2010-2016 +* Publisher: Aktuarvereinigung Österreichs (AVÖ) +* Creator: R. Kainhofer + Usage with the `MortalityTables` package: +```{r PKGesamtbestand, results = "hide"} +mortalityTables.load("Austria_PK-Bestand_2010-16") +PKBestandstafel.2010.16 +``` +```{r PKBestand.vergleich} +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") +PKBestandstafel.2010.16[1,1,1,1] +``` + + +<!-- ################################################################################ --> +<!-- ################################################################################ --> +<!-- #### GERMANY ##### --> +<!-- ################################################################################ --> +<!-- ################################################################################ --> + + + +# Germany + +Tables in use: + +* Allgemeine Deutsche Sterbetafel 1924/26 -- Endowments (until 1980s) +* Sterbetafel 1967 (modified Sterbetafel der BRD 1960/62) -- Endowments (1970s-1980s) +* Sterbetafel 1986 -- Endowments +* Sterbetafel 1986 T -- Endowments (1980s--1994) +* DAV 1994-T -- Endowments (1994--) +* Sterbetafel der BRD 1949/51 -- Annuities (until 1980s) +* Sterbetafel 1987 R -- Annuities (1980s--1994) +* DAV 1994-R -- Annuities (1994--2004) +* DAV 2004-R -- Annuities (2004--) + + + + +## Annuities + +### Sterbetafel 1987 R +[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 + + +### DAV 1994 R: + +* gender-specific tables, Base table 2000 with age-specific trends + * male+female, ages 0-111 +* approximation using age-shifting is provided (central YOB 1955) + * Usage with the `MortalityTables` package: +```{r DAV1994R, results = "hide"} +mortalityTables.load("Germany_Annuities_DAV1994R") +DAV1994R.male +DAV1994R.male.av +DAV1994R.female +DAV1994R.female.av +``` +* Source: [Deutsche Aktuarvereinigung (DAV)](https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx), [https://aktuar.de/unsere-themen/lebensversicherung/sterbetafeln/UT_LV_5.pdf] +* Source: Schmithals B. und Schütz E. U. (1995): "Herleitung der DAV-Sterbetafel 1994 R für +Rentenversicherungen", Blätter der Deutschen Gesellschaft für +Versicherungsmathematik, Band XXII, Heft 1 + +### DAV 2004 R: + + * gender-specific tables, Base table 1999 with age-specific trends + * male+female, ages 0-121 + * First- and Second-Order Tables are provided, as well as a reserving table for existing business ("Bestand" and "B20") + * Variants Aggregate and Select tables (5 years) are provided + * Usage with the `MortalityTables` package: (only Aggregate tables) +```{r DAV2004R, results="hide"} +mortalityTables.load("Germany_Annuities_DAV2004R") +DAV2004R.male +DAV2004R.male.2Ord +DAV2004R.male.av +DAV2004R.male.av.2Ord +DAV2004R.female +DAV2004R.female.2Ord +DAV2004R.female.av +DAV2004R.female.av.2Ord +``` + * Source: [Deutsche Aktuarvereinigung (DAV)](https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx), https://aktuar.de/unsere-themen/lebensversicherung/sterbetafeln/2018-01-24_DAV-Richtlinie_Herleitung_DAV2004R.pdf + + +### Comparison + +```{r DE.Annuities.Comparison} +plotMortalityTables( + DAV1994R.male, DAV1994R.female, + DAV2004R.male, DAV2004R.male.2Ord, + DAV2004R.female, DAV2004R.female.2Ord, + + 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, + DAV2004R.male, DAV2004R.male.2Ord, + DAV2004R.female, DAV2004R.female.2Ord, + + 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") +``` + + +## Population Mortality (German Census tables) + +* gender-specific period tables + * male+female, unisex only 2000/02 and 2010/12; ages 0--95, from 1930 on 0--100 +* Based on the official census data: + * 1871/80 + * 1881/90 + * 1891/1900 + * 1901/10 + * 1910/11 + * 1924/26 + * 1932/34 + * 1949/51 + * 1960/62 + * 1970/72 + * 1986/88 + +* Usage with the `MortalityTables` package: +```{r ADSt} +mortalityTables.load("Germany_Census") +mort.DE.census +``` +* Source: Allgemeine Sterbetafeln, abgekürzte Sterbetafelnund Sterbetafeln, 1871/1881 bis 2008/2010. Wiesbaden. Statist. Bundesamt. Artikel 5126202109005, Mai 2012. https://www.statistischebibliothek.de/mir/receive/DESerie_mods_00002188 + + + + +### Comparison + +```{r DE.Census.Comparison} +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 ~ .) +``` + + +## Tables for contract with death characteristics (Life Insurances, Endowments) + +### Association Table of Assured Lives 1986 +[TODO] + +* Base on German Population Mortality Table 1981/83 + +### DAV 1994 T + +* 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: +```{r DAV1994T,results="hide"} +mortalityTables.load("Germany_Endowments_DAV1994T") +DAV1994T.male +DAV1994T.male.2Ord +DAV1994T.female +DAV1994T.female.2Ord + +``` +* Source: H. Loebus: Bestimmung einer angemessenen Sterbetafel für Lebensversicherungen mit Todesfallcharakter, Blätter DGVM XXI (1994), 497--524. https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx + +### DAV 2008 T, DAV 2008 T R/NR + + +* 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: +```{r DAV2008T,results="hide"} +mortalityTables.load("Germany_Endowments_DAV2008T") +DAV2008T.male +DAV2008T.male.2Ord +DAV2008T.male.nonsmoker +DAV2008T.male.nonsmoker.2Ord +DAV2008T.male.smoker +DAV2008T.male.smoker.2Ord + +DAV2008T.female +DAV2008T.female.2Ord +DAV2008T.female.nonsmoker +DAV2008T.female.nonsmoker.2Ord +DAV2008T.female.smoker +DAV2008T.female.smoker.2Ord +``` +* Source: Herleitung der Sterbetafel DAV 2008 T für Lebensversicherungen mit Todesfallcharakter, [https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx](Deutsche Aktuarvereinigung (DAV)), 22.11.2008. https://aktuar.de/unsere-themen/lebensversicherung/sterbetafeln/2018-10-05_DAV-Richtlinie_Herleitung_DAV2008T.pdf +* Source: Raucher- und Nichtrauchersterbetafeln für Lebensversicherungen mit Todesfallcharakter, [https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx](Deutsche Aktuarvereinigung (DAV)), 22.11.2008. https://aktuar.de/unsere-themen/lebensversicherung/sterbetafeln/2018-10-05_DAV-Richtlinie_Herleitung_DAV2008T_R_NR.pdf + + +### Comparisons + +```{r DAV-T.comparison} +plotMortalityTables( + DAV1994T.male, DAV1994T.male.2Ord, DAV2008T.male, DAV2008T.male.2Ord, DAV2008T.male.nonsmoker, DAV2008T.male.smoker, + DAV1994T.female, DAV1994T.female.2Ord, DAV2008T.female, DAV2008T.female.2Ord, DAV2008T.female.nonsmoker, DAV2008T.female.smoker, + aes = 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 ~ .) +``` + + +## Occupational Disability + +### DAV 1997 I +[TODO] +https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx + +* Source: Kolster N., Loebus H. und Mörtlbauer W. (1998): "Neue Rechnungsgrundlagen für die +Berufsunfähigkeitsversicherung DAV 1997", Blätter der Deutschen Gesellschaft +für Versicherungsmathematik, Band XXIII, Heft 4 + +### DAV 1998 EU +[TODO] +https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx + +### DAV 2001 EM/EM-T +[TODO] +https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx + + +## MTPL Annuities + +### DAV 2006 HUR +[TODO] +https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx + + +## Old-Age Care +[TODO] + +### DAV 2008 P +[TODO] + + +## Occupational Pensions + +### Heubeck Richttafeln 1959 +[TODO] + +* Source: G. Heubeck, K. Fischer: Richttafeln für die Pensionsversicherung, René +Fischer Verlag, Weissenburg/Bayern, 1959 + +### Heubeck Richttafeln 1983 +[TODO] + +* Source: Heubeck K.: "Richttafeln", Verlag: Heubeck-Richttafeln-GmbH, Köln, 1983 + +### Heubeck Richttafeln 1998 +[TODO] + +* Source: Heubeck K.: "Richttafeln 1998", Verlag Heubeck-Richttafeln-GmbH, Köln, 1998 + +### Richttafeln DAV 2005-G +[TODO] + +https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx +* Source: Klaus Heubeck, Richard Herrmann und Gabriele D’Souza. „Die Richttafeln 2005 G – Modell, Herleitung, Formeln“. In: Blätter der DGVFM 27.3 (Apr. 2006), S. 473–517. + + +### Heubeck Richttafeln 2018-G +[TODO] + + + + + + +<!-- ################################################################################ --> +<!-- ################################################################################ --> +<!-- #### UNITED STATES OF AMERICA ##### --> +<!-- ################################################################################ --> +<!-- ################################################################################ --> + +# United States of America + +Source: [https://content.naic.org/sites/default/files/pbr_data_valuation_manual_current_edition.pdf] (Appendix M) + +[TODO] + +## Annuities (individual and group) + +## Whole Life Insurances + +## Experience Tables + +## Pension Plans + +### RP-2000 + +### RP-2014 + +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/. + +