From f65f0af39ec7d12e93b4b5b1dd539ef917ee49de Mon Sep 17 00:00:00 2001
From: Reinhold Kainhofer <reinhold@kainhofer.com>
Date: Fri, 5 Mar 2021 12:20:37 +0100
Subject: [PATCH] Implement US 1994 GAM/GAR and 1996 IAM annuity tables as data
 sets

---
 data-raw/US/Annuities/USA_Annuities.xlsx      | Bin 148622 -> 160594 bytes
 .../US/create_MortalityTables_US_Annuities.R  | 165 +++++++++++++-----
 data/USA1994GAM.RData                         | Bin 2733 -> 2785 bytes
 data/USA1994GAR.RData                         | Bin 3059 -> 2955 bytes
 data/USA1996IAM.RData                         | Bin 0 -> 2746 bytes
 ...nternational-mortality-tables-overview.Rmd |  30 ++--
 6 files changed, 137 insertions(+), 58 deletions(-)
 create mode 100644 data/USA1996IAM.RData

diff --git a/data-raw/US/Annuities/USA_Annuities.xlsx b/data-raw/US/Annuities/USA_Annuities.xlsx
index b9afe1c2c49738bfbc13289ce10649c7e595d4ac..3959a56521269df0aabd2ec9dd9a3896934561a9 100644
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diff --git a/data-raw/US/create_MortalityTables_US_Annuities.R b/data-raw/US/create_MortalityTables_US_Annuities.R
index 24e6778..981530a 100644
--- a/data-raw/US/create_MortalityTables_US_Annuities.R
+++ b/data-raw/US/create_MortalityTables_US_Annuities.R
@@ -457,70 +457,82 @@ save(USA1983GAM,
 ##############################################################################h#
 
 USA1994GAM.data = read_excel(
-  US.annuities.file, sheet = "1994 GAR",
+  US.annuities.file, sheet = "1994 GAM - GAR",
   col_names = c("age","qx", "AAx", "qy", "AAy", "qxBasic", "qyBasic"),
-  skip = 4)
-
-USA1994GAM.male.basic = mortalityTable.period(
-  name = "USA 1994 GAM basic (unloaded), male",
-  ages = USA1994GAM.data$age,
-  deathProbs = USA1994GAM.data$qxBasic,
-  data = list(
-    dim = list(table = "1994 GAM", sex = "m", collar = "group Mortality", type = "Rententafel", data = "unloaded", year = 1994)
-  )
-)
-
-USA1994GAM.female.basic = mortalityTable.period(
-  name = "USA 1994 GAM basic (unloaded), female",
-  ages = USA1994GAM.data$age,
-  deathProbs = USA1994GAM.data$qyBasic,
-  data = list(
-    dim = list(table = "1994 GAM", sex = "f", collar = "group Mortality", type = "Rententafel", data = "unloaded", year = 1994)
-  )
-)
-
+  skip = 6)
 
-USA1994GAR.male = mortalityTable.improvementFactors(
-  name = "USA 1994 GAR, male",
-  ages = USA1994GAM.data$age,
-  deathProbs = USA1994GAM.data$qx,
-  improvement = USA1994GAM.data$AAx,
-  data = list(
-    dim = list(table = "1994 GAR", sex = "m", collar = "group Reserving", type = "Rententafel", data = "loaded", year = 1994)
-  )
-)
+USA1994GAM = array(
+  data = c(
+    mortalityTable.period(
+      name = "USA 1994 GAM basic, male",
+      ages = USA1994GAM.data$age,
+      deathProbs = USA1994GAM.data$qxBasic,
+      data = list(
+        dim = list(table = "1994 GAM Basic", sex = "m", collar = "group Mortality", type = "Rententafel", data = "unloaded", year = 1994, country = "USA")
+      )
+    ),
 
-USA1994GAR.female = mortalityTable.improvementFactors(
-  name = "USA 1994 GAR, female",
-  ages = USA1994GAM.data$age,
-  deathProbs = USA1994GAM.data$qy,
-  improvement = USA1994GAM.data$AAy,
-  data = list(
-    dim = list(table = "1994 GAR", sex = "f", collar = "group Reserving", type = "Rententafel", data = "loaded", year = 1994)
-  )
-)
+    mortalityTable.period(
+      name = "USA 1994 GAM basic, female",
+      ages = USA1994GAM.data$age,
+      deathProbs = USA1994GAM.data$qyBasic,
+      data = list(
+        dim = list(table = "1994 GAM Basic", sex = "f", collar = "group Mortality", type = "Rententafel", data = "unloaded", year = 1994, country = "USA")
+      )
+    ),
 
+    mortalityTable.period(
+      name = "USA 1994 GAM, male",
+      ages = USA1994GAM.data$age,
+      deathProbs = USA1994GAM.data$qxBasic,
+      data = list(
+        dim = list(table = "1994 GAM", sex = "m", collar = "group Mortality", type = "Rententafel", data = "loaded", year = 1994, country = "USA")
+      )
+    ),
 
-USA1994GAM = array(
-  data = c(
-    USA1994GAM.male.basic, USA1994GAM.female.basic
+    mortalityTable.period(
+      name = "USA 1994 GAM, female",
+      ages = USA1994GAM.data$age,
+      deathProbs = USA1994GAM.data$qyBasic,
+      data = list(
+        dim = list(table = "1994 GAM", sex = "f", collar = "group Mortality", type = "Rententafel", data = "loaded", year = 1994, country = "USA")
+      )
+    )
   ),
-  dim = c(2),
-  dimnames = list(Sex = c("m", "f"))
+  dim = c(2, 2),
+  dimnames = list(Sex = c("m", "f"), type = c("basic", "loaded"))
 )
 
 USA1994GAR = array(
   data = c(
-    USA1994GAR.male, USA1994GAR.female
+    mortalityTable.improvementFactors(
+      name = "USA 1994 GAR, male",
+      ages = USA1994GAM.data$age,
+      deathProbs = USA1994GAM.data$qx,
+      improvement = USA1994GAM.data$AAx,
+      data = list(
+        dim = list(table = "1994 GAR", sex = "m", collar = "group Reserving", type = "Rententafel", data = "loaded", year = 1994, country = "USA")
+      )
+    ),
+
+    mortalityTable.improvementFactors(
+      name = "USA 1994 GAR, female",
+      ages = USA1994GAM.data$age,
+      deathProbs = USA1994GAM.data$qy,
+      improvement = USA1994GAM.data$AAy,
+      data = list(
+        dim = list(table = "1994 GAR", sex = "f", collar = "group Reserving", type = "Rententafel", data = "loaded", year = 1994, country = "USA")
+      )
+    )
   ),
   dim = c(2),
   dimnames = list(Sex = c("m", "f"))
 )
 
-save(USA1994GAM, USA1994GAM.male.basic, USA1994GAM.female.basic,
+save(USA1994GAM,
      file = here::here("data", "USA1994GAM.RData")
 )
-save(USA1994GAR, USA1994GAR.male, USA1994GAR.female,
+save(USA1994GAR,
      file = here::here("data", "USA1994GAR.RData")
 )
 
@@ -528,6 +540,65 @@ save(USA1994GAR, USA1994GAR.male, USA1994GAR.female,
 
 
 
+##############################################################################h#
+### 1996 IAM individual annuity mortality table (period table)              ####
+##############################################################################h#
+
+USA1996IAM.data = read_excel(
+  US.annuities.file, sheet = "1996 IAM",
+  col_names = c("age","qx", "qy", "qxBasic", "qyBasic"),
+  skip = 6)
+
+USA1996IAM = array(
+  data = c(
+    mortalityTable.period(
+      name = "USA 1996 IAM basic, male",
+      ages = USA1996IAM.data$age,
+      deathProbs = USA1996IAM.data$qxBasic,
+      data = list(
+        dim = list(table = "1996 IAM Basic", sex = "m", collar = "Mortality", type = "Rententafel", data = "unloaded", year = 1996, country = "USA")
+      )
+    ),
+
+    mortalityTable.period(
+      name = "USA 1996 IAM basic, female",
+      ages = USA1996IAM.data$age,
+      deathProbs = USA1996IAM.data$qyBasic,
+      data = list(
+        dim = list(table = "1996 IAM Basic", sex = "f", collar = "Mortality", type = "Rententafel", data = "unloaded", year = 1996, country = "USA")
+      )
+    ),
+
+    mortalityTable.period(
+      name = "USA 1996 IAM, male",
+      ages = USA1996IAM.data$age,
+      deathProbs = USA1996IAM.data$qxBasic,
+      data = list(
+        dim = list(table = "1996 IAM", sex = "m", collar = "Mortality", type = "Rententafel", data = "loaded", year = 1996, country = "USA")
+      )
+    ),
+
+    mortalityTable.period(
+      name = "USA 1996 IAM, female",
+      ages = USA1996IAM.data$age,
+      deathProbs = USA1996IAM.data$qyBasic,
+      data = list(
+        dim = list(table = "1996 IAM", sex = "f", collar = "Mortality", type = "Rententafel", data = "loaded", year = 1996, country = "USA")
+      )
+    )
+  ),
+  dim = c(2, 2),
+  dimnames = list(Sex = c("m", "f"), type = c("basic", "loaded"))
+)
+
+save(USA1996IAM,
+     file = here::here("data", "USA1996IAM.RData")
+)
+
+
+
+
+
 #################################################################################h#
 ### Annuity 2000 Basic (unloaded) and Mortality (loaded) Tables, PERIOD tables ####
 #################################################################################h#
diff --git a/data/USA1994GAM.RData b/data/USA1994GAM.RData
index 29dbbb73edca9b5676203845428ef4fcc1f902bc..36a1a92f809ed40a4b564f673693e00142b67d54 100644
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diff --git a/vignettes/international-mortality-tables-overview.Rmd b/vignettes/international-mortality-tables-overview.Rmd
index d3db550..8224a68 100644
--- a/vignettes/international-mortality-tables-overview.Rmd
+++ b/vignettes/international-mortality-tables-overview.Rmd
@@ -992,6 +992,7 @@ https://aktuar.de/unsere-themen/lebensversicherung/Seiten/default.aspx
 ## Population Mortality
 
 https://www.cso.ie/en/statistics/birthsdeathsandmarriages/archive/irishlifetables1926to2012/
+https://www.cso.ie/en/releasesandpublications/er/ilt/irishlifetablesno172015-2017/
 
 * gender-specific period tables
   * male+female, ages 0--105, earlier tables gave only $l_x$ and $e_x$, but no $q_x$
@@ -1539,21 +1540,26 @@ plotMortalityTables(
 * 1983 IAM (Table a) (Individual Annuity)
   * Source: Society of Actuaries, “Report of the Committee to Recommend a New Mortality Table Basis for Individual Annuity Valuation (Derivation of the 1983 Table a)”, Transactions of the Society of Actuaries, Vol. 33. (1981). http://www.soa.org/Library/Research/Transactions-Of-Society-Of-Actuaries/1981/January/tsa81v3325.pdf
 * 1983 GAM (Group Annuity Mortality)
-  * Source: Committee on Annuities, “Development of the 1983 Group Annuity Mortality Table”, Transaction of the Society of Actuaries Vol. XXXV, pp.859-899 (1983).  http://www.soa.org/Library/Research/Transactions-Of-Society-Of-Actuaries/1983/January/tsa83v3527.pdf
+  * Source: Committee on Annuities, “Development of the 1983 Group Annuity Mortality Table”, Transactions of the Society of Actuaries Vol. XXXV, pp.859-899 (1983).  http://www.soa.org/Library/Research/Transactions-Of-Society-Of-Actuaries/1983/January/tsa83v3527.pdf
+* 1994 GAR (Group Annuity Reserving), 1994 GAM, 1994 GAM Basic
+  * Source: Society of Actuaries
+Group Annuity Valuation Table Task Force, "1994 Group Annuity Mortality Table and 1994 Group Annuity Reserving Table", Transactions of the Society of Actuaries, Vol.47, 1995, pp.865-872. https://www.soa.org/globalassets/assets/library/research/transactions-of-society-of-actuaries/1990-95/1995/january/tsa95v4722.pdf
+* 1996 IAM (Individual Annuity Mortality)
+  * Source: Robert J. Johansen, “Review of Adequacy of 1983 Individual annuity Mortality Table”, Transactions of the Society of Actuaries Vol. XLVII (1995), http://www.soa.org/Library/Research/Transactions-Of-Society-Of-Actuaries/1990-95/1995/January/tsa95v479.pdf
 
 
-* 1994 GAR (Group Annuity Reserving)
-* 1996 IAM (Individual Annuity Mortality)
-* 2012 IAR (Individual Annuity Reserving)
-* Annuity 2000 
 
 
 * Annuity 2000 Mortality Table
-* 2012 Individual Annuity Reserve Valuation Table (2012 IAR = 2012 IAM Period Table + Scale G2
-  * 2012 IAM Basic table with selection factors $F_x$ (when little or no experience is available on a business sgment (VM-21 Section 11 B.3)
+  * Source: Society of
+Actuaries Committee on Life Insurance Research and shown on page 240 of Volume XLVII of the
+Transactions of the Society of Actuaries (1995)
+* 2012 IAR (Individual Annuity Reserving) Valuation Table (2012 IAR = 2012 IAM Period Table + Scale G2
+  * 2012 IAM Basic table with selection factors $F_x$ (when little or no experience is available on a business segment (VM-21 Section 11 B.3)
 
-* GAM-94 generational tables using Scale AA 
   * UP-94 table with 7% margin
+
+
   
 Usage in R:
 ```{r AnnuitiesUS}
@@ -1568,13 +1574,15 @@ plotMortalityTables(
   USA1971GAM,
   USA1983IAM,
   USA1983GAM,
-  
-  USA1994GAR,
   USA1994GAM,
+  USA1994GAR,
+  USA1996IAM,
+  
   USAAnnuity2000,
   aes = aes(color = table),
   legend.position = "bottom",
-  legend.key.width = unit(2, "lines")
+  legend.key.width = unit(2, "lines"),
+  Period = 2020
 ) + facet_grid(sex~data)
 ```
 
-- 
GitLab