From 543332117bc628d30a02ac2b1503ab6cbb966bfb Mon Sep 17 00:00:00 2001
From: Reinhold Kainhofer <reinhold@kainhofer.com>
Date: Tue, 17 Aug 2021 16:52:10 +0200
Subject: [PATCH] Vignette: Usage of US pension tables and others
---
...nternational-mortality-tables-overview.Rmd | 102 +++++++++++-------
1 file changed, 65 insertions(+), 37 deletions(-)
diff --git a/vignettes/international-mortality-tables-overview.Rmd b/vignettes/international-mortality-tables-overview.Rmd
index 82e68eb..5e293c7 100644
--- a/vignettes/international-mortality-tables-overview.Rmd
+++ b/vignettes/international-mortality-tables-overview.Rmd
@@ -50,21 +50,6 @@ mortalityTables.load("Austria_Census")
## Various Links (to be processed):
* Australian population life tables (1881-2017): http://www.aga.gov.au/publications/life_table_2015-17/
-* US Pri-2012 (US private sector retirement plans): https://www.soa.org/globalassets/assets/files/resources/experience-studies/2019/pri-2012-mort-tables-amount.xlsx
-* US Retirement Plans Experience Studies: https://www.soa.org/research/topics/pension-exp-study-list/
- * Mortality Improvement Scale MP-2019
- * Mortality Improvement Scale MP-2018
- * Mortality Improvement Scale MP-2017
- * Mortality Improvement Scale MP-2016
- * Mortality Improvement Scale MP-2015
- * Mortality Improvement Scale MP-2014
- * Mortality Improvement Scale BB
- * Pri-2012 Private Retirement Plans Mortality Tables
- * Pub-2010 Public Retirement Plans Mortality Tables
- * RP-2014 Mortality Tables (and RPH-2014 for headcount-weighted)
- * RP-2000 Mortality Tables
-* US SSA mortality rates 1900-2007, https://mort.soa.org/ViewTable.aspx?&TableIdentity=1502
-* US IRS Static mortality tables (prescribed for each year)
* Greece:
* EAE 2005 A (life products)
* EAE 2005 P (annuity products)
@@ -151,7 +136,7 @@ Annuity tables in Austria are traditionally published by the [Actuarial Associat
* Source: H. Nabl: ÖVM 59/61 - RR67 - 3%, Die Versicherungsrundschau, 22. Jahrgang, Heft 12, Dez. 1967, p.373--380.
-```{r}
+```{r OeVM59}
plotMortalityTables(RR67, mort.AT.census.1961.male)
```
@@ -327,10 +312,7 @@ mort.AT.MCMC
* 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
-
+mort.AT.observed
```
### Comparison
@@ -361,9 +343,7 @@ plotMortalityTables(
```{r AT.population.History}
plotMortalityTables(
- mort.AT.observed.male,
- mort.AT.observed.female,
- mort.AT.observed.unisex,
+ mort.AT.observed,
YOB = 1940,
aes = aes(color = sex),
@@ -1458,7 +1438,9 @@ IRS valuation tables (https://www.irs.gov/pub/irs-pdf/p1457.pdf):
* Table 80CNSMT, §7520 rates (1.5.1989-30.4.1999)
* Table 90CM (1.5.1999-30.4.2009)
* Table 2000CM (1.5.2009-...)
+* US IRS Static mortality tables (prescribed for each year), IRS 2009/2010/2011/2012/2013/2014/2015/2016
+* US Crude mortality rates 2000-2018: https://www.soa.org/resources/experience-studies/2020/us-pop-mort-rates-2000-2018/
Standard Industrial Mortality Tables
* 1941 CSI Table (Commissioners' Standard Industrial Mortality Table)
@@ -1485,13 +1467,27 @@ Standard Industrial Mortality Tables
* 2015 Preneed Basic
* https://www.soa.org/resources/experience-studies/2017/preneed-mortality-report/
-
* 2000-2004 Preneed Mortality Table
-* SAA Mortality Rates (Period, 1900-2007)
-* IRS 2009/2010/2011/2012/2013/2014/2015/2016
+
+* SAA Mortality Rates (Period, 1900-2007), https://mort.soa.org/ViewTable.aspx?&TableIdentity=1502
* Sub-Standard Industrial Mortality Table
+
+* Pub-2010 Public Retirement Plans Mortality Tables:
+ * Source: https://www.soa.org/resources/research-reports/2019/pub-2010-retirement-plans/
+* Pri-2012 (US private sector retirement plans): https://www.soa.org/globalassets/assets/files/resources/experience-studies/2019/pri-2012-mort-tables-amount.xlsx
+* RP-2014 Mortality Tables (and RPH-2014 for headcount-weighted)
+* US Retirement Plans Experience Studies: https://www.soa.org/research/topics/pension-exp-study-list/
+ * Mortality Improvement Scale MP-2019
+ * Mortality Improvement Scale MP-2018
+ * Mortality Improvement Scale MP-2017
+ * Mortality Improvement Scale MP-2016
+ * Mortality Improvement Scale MP-2015
+ * Mortality Improvement Scale MP-2014
+ * Mortality Improvement Scale BB
+
+
## Accidental Death Benefits
* 1926--33 Intercompany Double Indemnity Table for Accidental Death Benefits
@@ -1514,12 +1510,12 @@ plotMortalityTables(
* Source: Emory M’Clintock, "Special Tables for the Estimation of Mortality among Annuitants", Transaction of the Society of Actuaries Vol. VI (1899), p. 20. https://archive.org/details/transactions06actuuoft/page/12/mode/2up
* American Annuitants Table (1920)
* Source: Arthur Hunter, "Mortality Among American Annuitants and Premiums Based Thereon", Transactions Society of Actuaries, Vol. XXI, Society of Actuaries (1920), p. 166-167. https://archive.org/details/transactions21actuuoft/page/156/mode/2up
-* 1937 Standard Annuity Table (male) `r USA1937Annuity`
+* 1937 Standard Annuity Table (male)
* Source: Frank D. Kineke, “A New Annuity Mortality Table”, Transactions Society of Actuaries XXXIX , Society of Actuaries, (1938) p. 18-19
* 1943 Annuity Experience table
- * Source: William A. Jenkins and Edward A. Lew, “A New Mortality Basis for Annuities”; https://www.soa.org/essays-monographs/50th-anniversary/m-av99-1-01.pdf
+ * Source: William A. Jenkins and Edward A. Lew, “A New Mortality Basis for Annuities”; https://www.soa.org/essays-monographs/50th-anniversary/m-av99-1-01.pdf, https://www.soa.org/globalassets/assets/Library/Research/Transactions-Of-Society-Of-Actuaries/1949/January/tsa49v1n111.pdf
* a-1949 Annuity Table
- * Source: William A. Jenkins and Edward A. Lew, “A New Mortality Basis for Annuities”; https://www.soa.org/essays-monographs/50th-anniversary/m-av99-1-01.pdf
+ * Source: William A. Jenkins and Edward A. Lew, “A New Mortality Basis for Annuities”; https://www.soa.org/essays-monographs/50th-anniversary/m-av99-1-01.pdf, https://www.soa.org/globalassets/assets/Library/Research/Transactions-Of-Society-Of-Actuaries/1949/January/tsa49v1n111.pdf
* 1951 GAM
* Source: Ray M. Peterson, “Group Annuity Mortality”, Transactions of the Society of Actuaries, Vol. IV (1952). https://www.soa.org/Library/Research/Transactions-Of-Society-Of-Actuaries/1949-59/1952/January/tsa52v4n918.pdf
* 1963 Annuity Experience table
@@ -1711,18 +1707,14 @@ plotMortalityTables(
## Pension Plans
-* RP-2000 (Retirement Plan)
- * Source: https://www.soa.org/resources/experience-studies/2000-2004/research-rp-2000-mortality-tables/
* RP-2014 + Scale MP-2014, MP-2015, MP-2016, MP-2017, MP-2018, MP-2019, MP-2020
* Source: https://www.soa.org/resources/experience-studies/2014/research-2014-mort-tables/
* https://www.soa.org/resources/experience-studies/2014/research-2014-rp/
* RPH-2014
-* PubT-2010, PubS-2010, PubG-2010, PubNS-2010, Pub-2010 + Headcount versions
- * Source: https://www.soa.org/resources/research-reports/2019/pub-2010-retirement-plans/
* Pri-2012, Pri.H-2012
* Source: https://www.soa.org/resources/experience-studies/2019/pri-2012-private-mortality-tables/
-* UP-94 table with 7% margin
+
### UP-1984 - Unisex Uninsured Pensioner Mortality
@@ -1735,7 +1727,7 @@ plotMortalityTables(
approximate female mortality rates.
-```{r}
+```{r UP1984}
plotMortalityTables(USA.UP1984)
```
@@ -1745,14 +1737,50 @@ plotMortalityTables(USA.UP1984)
Source: The Society of Actuaries UP-94 Task Force, "The 1994 Uninsured Pensioner Mortality Table", Transactions Society of Actuaries Vol. XLVII, (Chicago, 1995), p. 824-826.
http://www.soa.org/library/research/transactions-of-society-of-actuaries/1990-95/1995/january/tsa95v4721.pdf
-```{r}
+```{r UP94}
plotMortalityTables(USA.UP94, YOB = 1980, title = "UP-94 for birth year 1980")
```
### RP-2000
-Projected beyond 2000 using scale AA
+
+Source: Retirement Plans Experience Committee of the Society of Actuaries, “The RP-2000 Mortality Tables”, Society of Actuaries, (2000)
+Source: https://www.soa.org/resources/experience-studies/2000-2004/research-rp-2000-mortality-tables/
+Source: https://www.soa.org/files/research/exp-study/rp00_mortalitytables.pdf
+
+```{r RP2000}
+plotMortalityTables(
+ USA.RP2000 %>% pT.getSubTable("qx"), USA.RP2000 %>% pT.getSubTable("qix"), USA.RP2000 %>% pT.getSubTable("qpx"), USA.RP2000 %>% pT.getSubTable("qgx"),
+ USA.RP2000.Collar, USA.RP2000.Amount,
+ Period = 2020, aes = aes(color = collar), legend.position = "bottom", legend.key.width = unit(2, "lines")) +
+ ggtitle("USA RP-2000 pension tables, Period 2020") +
+ facet_grid(.~sex)
+
+USA.RP2000.Collar
+```
+
+
+### Pub-2010 - Public Retirement Plans Mortality Tables
+
+* Public Employees' retriement plans, broken down into:
+ * General public Servants, Teachers and Security
+ * Additional Tables for Juveniles (ages 0-17) and Above-Median / Below-Median income
+ * Tables derived from pure head-counts as well as from amounts
+* PubT-2010, PubS-2010, PubG-2010 + Headcount versions
+* Source: Society of Actuaries, Retirement Plans Experience Committee: Pub-2010 Public Retirement Plans Mortality Tables Report. January 2019. https://www.soa.org/resources/research-reports/2019/pub-2010-retirement-plans/
+
+
+```{r Pub2010,fig.height=10,fig.width=10}
+dimnames(USA.Pub2010)
+plotMortalityTables(
+ USA.Pub2010 %>% pT.getSubTable("qx"), USA.Pub2010 %>% pT.getSubTable("qix"), USA.Pub2010 %>% pT.getSubTable("qpx"), USA.Pub2010 %>% pT.getSubTable("qwy"),
+ aes = aes(color = subtable, linetype = salary), legend.position = "bottom", legend.key.width = unit(1.5, "lines")
+) +
+ facet_grid(population ~ sex + weights) +
+ scale_linetype_manual(values = c("AboveMedian" =2, "BelowMedian"=3, "Overall" = 1))
+```
+
### RP-2014 / MP-2014
--
GitLab