From 478c5a44c87efaf249ebd11045fdf215b4a864c7 Mon Sep 17 00:00:00 2001
From: Reinhold Kainhofer <reinhold@kainhofer.com>
Date: Mon, 4 Apr 2016 23:50:49 +0200
Subject: [PATCH] - Implement Tarif and Contract as an R6 class - Basic set up
 of Tarif and Contract. Probs are working, cash flows are the next thing. -
 Move ValuationTable classes to ValuationTables.R - Add lots of helper
 functions for valuation tables - Refine function to plot life tables - Add
 functions to extract cohort/period life tables (given YOB or period) from
 generic life tables

---
 .gitignore                            |   1 +
 R/InsuranceTarif.R                    | 184 ++++++++++++++++++-------
 R/S4classes.R                         | 188 -------------------------
 R/ValuationTables.R                   | 189 +++++++++++++++++++++++++-
 R/ValuationTables_Austria_Annuities.R |   3 +
 R/ValuationTables_Austria_Census.R    |  28 ++++
 R/ValuationTables_Germany_Annuities.R |   2 +-
 ValuationTables.RData                 | Bin 0 -> 108179 bytes
 8 files changed, 349 insertions(+), 246 deletions(-)
 create mode 100644 ValuationTables.RData

diff --git a/.gitignore b/.gitignore
index 807ea25..f681c2b 100644
--- a/.gitignore
+++ b/.gitignore
@@ -1,3 +1,4 @@
 .Rproj.user
 .Rhistory
 .RData
+.~lock.*#
diff --git a/R/InsuranceTarif.R b/R/InsuranceTarif.R
index 3079f3c..7f2c77b 100644
--- a/R/InsuranceTarif.R
+++ b/R/InsuranceTarif.R
@@ -1,63 +1,147 @@
-library("lifecontingencies");
-
-
-# (virtual) base class for valuation tables, contains only the name / ID
-InsuranceTarif=setRefClass(
-  "InsuranceContract", 
-  slots=c(
-    name="character",
-    tarif="character",
-    desc="character",
-    YOB="numeric",
-    YOB2="numeric",
-    age="numeric",
-    age2="numeric",
-    contractLength="numeric",
-    mortalityTable="valuationTable",
-    mortalityTable2="valuationTable",
-    
-    interest="numeric",
-    
-    #     cashflows="data.frame",
-    #     deathPayments="list",
-    #     survivalPayments="list",
-    #     costCashflows="data.frame",
-    cashflows="data.frame",
-    
-    probabilities="data.frame",
+library(R6);
+library("lifecontingencies")
+
+
+# base class for Insurance Tarifs (holding contrat-independent values and 
+# providing methods to calculate cash flows, premiums, etc.). Objects of this
+# class do NOT contain contract-specific values like age, death probabilities, 
+# premiums, reserves, etc.
+InsuranceTarif = R6Class(
+  "InsuranceTarif", 
+  public  = list(
+    name  = "Insurance Contract Type",
+    tarif = "Generic Tarif",
+    desc  = "Description of the contract",
     
+    states = c("Lebend", "Tot"),
+    mortalityTable = NA,
+    interest=0,
+
+    initialize = function (name=NA, mortalityTable=NA, interest=NA,...) {
+      if (!missing(name))           self$name = name;
+      if (!missing(mortalityTable)) self$mortalityTable = mortalityTable;
+      if (!missing(interest))       self$interest = interest;
+      cat(paste0("Initializing Insurance Tarif ", self$name, "...\n"))
+    },
+    getTransitionProbabilities = function (age, ..., YOB=2000) {
+      ages = ages(self$mortalityTable, YOB=YOB);
+      q = deathProbabilities(self$mortalityTable, YOB=YOB);
+      if (age>0) {
+        ages = ages[-age:-1];
+        q    = q[-age:-1];
+      }
+      p = 1-q;
+      len = length(p);
+      df=data.frame(p, q, rep(0,len), rep(1,len), row.names=ages)
+      df
+    },
+    getCashFlowsState = function (age, ..., policyPeriod=inf, deferral=0, maxAge=150) {
+      cf = list()
+      # TODO
+    },
+    getCashFlowsTransition = function (age, ..., policyPeriod=inf, deferral=0, maxAge=150) {
+      # TODO
+    }
+  )
+);
+
+TestTarif = InsuranceTarif$new(name="Testtarif", mortalityTable=AVOe2005R.male)
+str(TestTarif)
+TestTarif$getTransitionProbabilities(YOB=1980, age=30)
+
+
+InsuranceContract = R6Class(
+  "InsuranceContract",
+  public = list(
+    tarif = NA,
+    YOB = NA,
+    age = NA,
+    policyPeriod = inf,
+    deferral = 0,
     
-    unterjährigkeit="numeric",
-    unterjährigkeitsapproximation="numeric",
-    cache.uj="list"
+    transitionProbabilities = NA,
+    cashFlowsState = NA,
+    cashFlowsTransition = NA,
+    #    cashFlowsState = list(c(0), c(0)),
+    #    cashFlowsTransition = list(matrix(c(0,1,0,1), 2, 2, byrow=TRUE)),
     
+    initialize = function (tarif, age, policyPeriod=inf, ..., deferral=0, YOB=1975) {
+      if (!missing(tarif)) self$tarif = tarif;
+      if (!missing(age)) self$age = age;
+      if (!missing(YOB)) self$YOB = YOB;
+      if (!missing(deferral)) self$deferral = deferral;
+      if (!missing(policyPeriod)) self$policyPeriod = policyPeriod;
+      self$determineTransitionProbabilities();
+      self$determineCashFlows();
+    },
     
-  ), 
-  prototype=list(
-    name="Insurance Contract Type",
-    tarif="Tariff",
-    desc="Description of the contract",
-    YOB=1977,
-    #     YOB2=1977,
-    age=35,
-    #     age2=35,
-    contractLength=Inf,
-    mortalityTable=AVOe2005R.unisex,
-    #     mortalityTable2=AVOe2005R.unisex,
+    determineTransitionProbabilities = function() {
+      self$transitionProbabilities = self$tarif$getTransitionProbabilities(self$age, self$YOB);
+    },
     
-    interest=0,
+    determineCashFlows = function() {
+      self$cashFlowsState = self$tarif$getCashFlowsState(age=self$age, YOB=self$YOB, policyPeriod=self$policyPeriod, deferral=self$deferral, maxAge=self$age+length(self$transitionProbabilities));
+      self$cashFlowsTransition = self$tarif$getCashFlowsState(age=self$age, YOB=self$YOB, policyPeriod=self$policyPeriod, deferral=self$deferral, maxAge=self$age+length(self$transitionProbabilities));
+      
+    }
     
-    deathPayments=list(),
-    survivalPayments=list(),
-    costCashflows=data.frame(),
-    cashflows=data.frame(),
-    probabilities=data.frame(),
     
-    unterjährigkeit=1,
-    unterjährigkeitsapproximation=1
+
+
   )
 );
 
+setGeneric("setYOB", function(scale, ...) standardGeneric("setYOB"));
+setMethod("setYOB", "InsuranceScale",
+          function (scale, ..., YOB=1975) {
+            scale@YOB=YOB;
+            scale
+          }
+)
+
+setGeneric("getTransitionProbabilities", function(scale, ...) standardGeneric("getTransitionProbabilities"));
+setMethod("getTransitionProbabilities", "InsuranceScale",
+          function (scale, ...) {
+            q = deathProbabilities(scale@mortalityTable, scale@YOB);
+            p = 1-q;
+            len = length(p);
+            df=data.frame(p, q, rep(0,len), rep(1,len), row.names=ages(scale@mortalityTable, scale@YOB))
+          }
+)
+
+
+setGeneric("calculateTransitionProbabilities", function(scale, ...) standardGeneric("calculateTransitionProbabilities"));
+setMethod("calculateTransitionProbabilities", "InsuranceScale",
+          function (scale, ...) {
+            scale@transitionProbabilities = getTransitionProbabilities(scale, ...);
+            scale
+          }
+)
+
+TestTarif = InsuranceScale(name="Testtarif", YOB=1980, age=30)
+#TestTarif = setYOB(TestTarif, YOB=1980)
+
+getTransitionProbabilities(TestTarif)
+
+t=AVOe2005R.unisex
+t@ages
+t@deathProbs
+qqq
+qqq["1",]
+
+mort=deathProbabilities(AVOe2005R.male, YOB=1977); mort
+
+mort=deathProbabilities(AVOe2005R.unisex, YOB=1977); mort
+q=mort
+p=1-mort; p
+len=length(p); len
+qqq=data.frame(q=t@deathProbs, row.names=t@ages); qqq
+
+df=data.frame("A-A"=p, "A-t"=q, "t-A"=rep(0, len), "t-t"=rep(1, len), row.names=t@ages)
+df
+
+
+
 # createCostStructure=function(age=35,contractLength=inf,
 #   alphaVS,
 #   alphaBP,
diff --git a/R/S4classes.R b/R/S4classes.R
index 69ff3b1..e69de29 100644
--- a/R/S4classes.R
+++ b/R/S4classes.R
@@ -1,188 +0,0 @@
-library("lifecontingencies");
-library(ggplot2);
-
-# (virtual) base class for valuation tables, contains only the name / ID
-valuationTable=setClass(
-  "valuationTable", 
-  slots=list(name="character", baseYear="numeric"), 
-  prototype=list(name="Actuarial Valuation Table", baseYear=2000), 
-  contains="VIRTUAL"
-);
-
-
-# A period life table, giving death probabilities for each age, up to 
-# maximum age omega. Optionally apply selection factors to the probabilities
-valuationTable.period=setClass(
-  "valuationTable.period", 
-  slots=list(ages="numeric", deathProbs="numeric"),
-  prototype=list(ages=eval(0:120), deathProbs=rep(1,120)),
-  contains="valuationTable"
-);
-
-# A cohort life table, obtained by age-shifting from a given base table (PODs 
-# for a base YOB)
-valuationTable.ageShift=setClass(
-  "valuationTable.ageShift", 
-  slots=list(ageShifts="data.frame"),
-  prototype=list(ageShifts=data.frame(YOB=c(), shifts=c())),
-  contains="valuationTable.period"
-);
-
-# A cohort life table, obtained by a trend projection from a given base table
-# (PODs for a given observation year). Typically, the trend is obtained by
-# the Lee-Carter method or some other trend estimation.
-# The dampingFunction can be used to modify the cumulative years (e.g. G(tau+x) instead of tau+x)
-# If trend2 is given, the G(tau+x) gives the weight of the first trend, 1-G(tau+x) the weight of the second trend
-valuationTable.trendProjection=setClass(
-  "valuationTable.trendProjection", 
-  slots=list(baseYear="numeric", trend="numeric", dampingFunction="function", trend2="numeric"),
-  prototype=list(baseYear=1980, trend=rep(0,120), dampingFunction=identity, trend2=0),
-  contains="valuationTable.period"
-);
-
-# A cohort life table, obtained by an improvment factor projection 
-# from a given base table (PODs for a given observation year).
-valuationTable.improvementFactors=setClass(
-  "valuationTable.improvementFactors", 
-  slots=list(baseYear="numeric", improvement="numeric"),
-  prototype=list(baseYear=2012, improvement=rep(0,120)),
-  contains="valuationTable.period"
-);
-
-# A cohort life table described by actual observations (data frame of PODs 
-# per year and age)
-valuationTable.observed=setClass(
-  "valuationTable.observed", 
-  slots=list(data="data.frame"),
-  prototype=list(data=data.frame()),
-  contains="valuationTable"
-);
-
-# A cohort life table obtained by joining two cohort life tables, each of which
-# applies only to certain observation years (e.g. for the past use the observed
-# PODs, and project them to the future with the trend projection)
-valuationTable.joined=setClass(
-  "valuationTable.joined", 
-  slots=list(
-    table1="valuationTable", yearRange1="numeric", 
-    table2="valuationTable", yearRange2="numeric"),
-  contains="valuationTable"
-);
-# A cohort life table obtained by mixing two life tables with the given weights
-valuationTable.mixed=setClass(
-  "valuationTable.mixed", 
-  slots=c(table1="valuationTable", table2="valuationTable", weight1="numeric", weight2="numeric"),
-  prototype=list(weight1=1/2, weight2=1/2),
-  contains="valuationTable"
-);
-
-
-
-setGeneric("getOmega", function(object) standardGeneric("getOmega"));
-setMethod("getOmega", "valuationTable.period",
-          function (object) {
-            max(object@ages,na.rm=TRUE);
-          })
-
-setGeneric("deathProbabilities", function(object, ..., YOB=1975) standardGeneric("deathProbabilities"));
-setMethod("deathProbabilities", "valuationTable.period",
-          function(object, ..., YOB=1975) {
-            object@deathProbs;
-          })
-setMethod("deathProbabilities","valuationTable.ageShift",
-          function (object,  ..., YOB=1975) {
-            qx=object@deathProbs;
-            shift.index=match(YOB, object@shifts, 0);
-            if (shift.index) {}
-#             TODO
-            qx
-          })
-setMethod("deathProbabilities","valuationTable.trendProjection",
-          function (object,  ..., YOB=1975) {
-            qx=object@deathProbs;
-            if (is.null(object@trend2) || length(object@trend2)<=1) {
-              ages=0:(length(qx)-1);
-              damping=sapply(ages, function (age) { object@dampingFunction(YOB+age-object@baseYear) });
-# print(data.frame(age=0:(length(qx)-1), trend=object@trend, exponent=-object@trend*damping, damping=damping, baseqx=qx, qx=exp(-object@trend*damping)*qx)[66:90,]);
-	      exp(-object@trend*damping)*qx;
-            } else {
-              # dampingFunction interpolates between the two trends:
-              weights=sapply(YOB+0:(length(qx)-1), object@dampingFunction);
-              qx*exp(-(object@trend*(1-weights) + object@trend2*(weights))*(YOB+0:(length(qx)-1)-object@baseYear))
-            }
-          })
-# data.frame(x=0:121, qx=deathProbabilities(AVOe2005R.unisex, YOB=1948));
-setMethod("deathProbabilities","valuationTable.improvementFactors",
-          function (object,  ..., YOB=1975) {
-            qx=object@deathProbs;
-            (1-object@improvement)^(YOB+0:(length(qx)-1)-object@baseYear)*qx
-          })
-setMethod("deathProbabilities","valuationTable.mixed",
-          function (object,  ..., YOB=1975) {
-            qx1=deathProbabilities(object@table1, ..., YOB);
-            qx2=deathProbabilities(object@table2, ..., YOB);
-            (object@weight1*qx1 + object@weight2*qx2)/(object@weight1 + object@weight2)
-          })
-          
-setGeneric("lifeTable", function(object, ...) standardGeneric("lifeTable"));
-setMethod("lifeTable","valuationTable",
-          function (object,  ...) {
-            qx=deathProbabilities(object, ...);
-            if (qx[[length(qx)]]!=1) { qx=c(qx, 1, 1); }
-            probs2lifetable(qx, type="qx")
-          })
-
-
-setGeneric("baseYear", function(object, ...) standardGeneric("baseYear"));
-setMethod("baseYear","valuationTable",
-          function (object,  ...) {
-            object@baseYear
-          })
-setMethod("baseYear","valuationTable.mixed",
-          function (object,  ...) {
-            baseYear(object@table1)
-          })
-
-setGeneric("baseTable", function(object, ...) standardGeneric("baseTable"));
-setMethod("baseTable","valuationTable",
-          function (object,  ...) {
-            c()
-          })
-setMethod("baseTable","valuationTable.period",
-          function (object,  ...) {
-            object@deathProbs
-          })
-
-
-makeQxDataFrame = function(...) {
-  data=list(...);
-  names(data) = lapply(data, function(t) t@name);
-  data = lapply(data, function(t) cbind(x=t@ages, y=t@deathProbs))
-  
-  list.names = names(data)
-  lns <- sapply(data, nrow)
-  data <- as.data.frame(do.call("rbind", data))
-  data$group <- rep(list.names, lns)
-  data
-}
-
-plotValuationTables = function(..., title = "") {
-  data = makeQxDataFrame(...);
-  
-  pl = ggplot(data, aes(x = x, y = y, colour = data$group)) +
-    theme_bw() +
-    theme(
-      plot.title = element_text(size=18, face="bold"),
-      legend.title = element_text(size=14, face="bold.italic")
-    ) +
-    geom_line() +
-    scale_y_log10(#breaks = trans_breaks('log10', function(x) 10^x),
-      #labels = trans_format('log10', math_format(10^.x)),
-      #minor_breaks = log(c(sapply(x, function(x) seq(0, x, x/10))), 10)
-    ) +
-    xlab("Alter") + ylab("q_x") + labs(colour="Sterbetafel");
-  if (title != "") {
-    pl = pl + ggtitle("Österreichische Volkssterbetafeln Männer seit 1870");
-  }
-  pl
-}
diff --git a/R/ValuationTables.R b/R/ValuationTables.R
index 5dd2ca9..3615bb9 100644
--- a/R/ValuationTables.R
+++ b/R/ValuationTables.R
@@ -1,10 +1,11 @@
 library("lifecontingencies");
+library(ggplot2);
 
 # (virtual) base class for valuation tables, contains only the name / ID
 valuationTable=setClass(
   "valuationTable", 
-  slots=list(name="character"), 
-  prototype=list(name="Actuarial Valuation Table"), 
+  slots=list(name="character", baseYear="numeric"), 
+  prototype=list(name="Actuarial Valuation Table", baseYear=2000), 
   contains="VIRTUAL"
 );
 
@@ -67,6 +68,13 @@ valuationTable.joined=setClass(
     table2="valuationTable", yearRange2="numeric"),
   contains="valuationTable"
 );
+# A cohort life table obtained by mixing two life tables with the given weights
+valuationTable.mixed=setClass(
+  "valuationTable.mixed", 
+  slots=c(table1="valuationTable", table2="valuationTable", weight1="numeric", weight2="numeric"),
+  prototype=list(weight1=1/2, weight2=1/2),
+  contains="valuationTable"
+);
 
 
 
@@ -76,6 +84,13 @@ setMethod("getOmega", "valuationTable.period",
             max(object@ages,na.rm=TRUE);
           })
 
+setGeneric("ages", function(object, ...) standardGeneric("ages"));
+setMethod("ages", "valuationTable.period",
+          function (object, ...) {
+            object@ages;
+          })
+
+
 setGeneric("deathProbabilities", function(object, ..., YOB=1975) standardGeneric("deathProbabilities"));
 setMethod("deathProbabilities", "valuationTable.period",
           function(object, ..., YOB=1975) {
@@ -86,27 +101,83 @@ setMethod("deathProbabilities","valuationTable.ageShift",
             qx=object@deathProbs;
             shift.index=match(YOB, object@shifts, 0);
             if (shift.index) {}
- #           shift=
+            #             TODO
             qx
           })
 setMethod("deathProbabilities","valuationTable.trendProjection",
           function (object,  ..., YOB=1975) {
+cat("deathProbabilities for valuationTable.trendProjection, YOB=", YOB, "\n")
             qx=object@deathProbs;
-            if (length(object@trend2)<=1) {
-              exp(-object@trend*object@dampingFunction(YOB+0:(length(qx)-1)-object@baseYear))*qx
-              #exp(-object@trend*object@dampingFunction(YOB+0:(length(qx)-1)-object@baseYear))
-              #qx
+            if (is.null(object@trend2) || length(object@trend2)<=1) {
+              ages=0:(length(qx)-1);
+              damping=sapply(ages, function (age) { object@dampingFunction(YOB+age-object@baseYear) });
+              # print(data.frame(age=0:(length(qx)-1), trend=object@trend, exponent=-object@trend*damping, damping=damping, baseqx=qx, qx=exp(-object@trend*damping)*qx)[66:90,]);
+              exp(-object@trend*damping)*qx;
             } else {
               # dampingFunction interpolates between the two trends:
               weights=sapply(YOB+0:(length(qx)-1), object@dampingFunction);
               qx*exp(-(object@trend*(1-weights) + object@trend2*(weights))*(YOB+0:(length(qx)-1)-object@baseYear))
             }
           })
+# data.frame(x=0:121, qx=deathProbabilities(AVOe2005R.unisex, YOB=1948));
 setMethod("deathProbabilities","valuationTable.improvementFactors",
           function (object,  ..., YOB=1975) {
             qx=object@deathProbs;
             (1-object@improvement)^(YOB+0:(length(qx)-1)-object@baseYear)*qx
           })
+setMethod("deathProbabilities","valuationTable.mixed",
+          function (object,  ..., YOB=1975) {
+            qx1=deathProbabilities(object@table1, ..., YOB);
+            qx2=deathProbabilities(object@table2, ..., YOB);
+            (object@weight1*qx1 + object@weight2*qx2)/(object@weight1 + object@weight2)
+          })
+
+
+setGeneric("periodDeathProbabilities", function(object, ...) standardGeneric("periodDeathProbabilities"));
+setMethod("periodDeathProbabilities", "valuationTable.period",
+          function(object, ...) {
+            object@deathProbs;
+          })
+setMethod("periodDeathProbabilities","valuationTable.ageShift",
+          function (object,  ..., Period=1975) {
+            # TODO
+            qx=object@deathProbs;
+            shift.index=match(YOB, object@shifts, 0);
+            if (shift.index) {}
+            #             TODO
+            qx
+          })
+setMethod("periodDeathProbabilities","valuationTable.trendProjection",
+          function (object,  ..., Period=1975) {
+            qx=object@deathProbs;
+            if (is.null(object@trend2) || length(object@trend2)<=1) {
+              ages=0:(length(qx)-1);
+              damping=object@dampingFunction(Period-object@baseYear);
+              # print(data.frame(age=0:(length(qx)-1), trend=object@trend, exponent=-object@trend*damping, damping=damping, baseqx=qx, qx=exp(-object@trend*damping)*qx)[66:90,]);
+              exp(-object@trend*damping)*qx;
+            } else {
+              # TODO
+              # dampingFunction interpolates between the two trends:
+              weights=sapply(YOB+0:(length(qx)-1), object@dampingFunction);
+              qx*exp(-(object@trend*(1-weights) + object@trend2*(weights))*(YOB+0:(length(qx)-1)-object@baseYear))
+            }
+          })
+# data.frame(x=0:121, qx=deathProbabilities(AVOe2005R.unisex, YOB=1948));
+setMethod("periodDeathProbabilities","valuationTable.improvementFactors",
+          function (object, ..., Period=1975) {
+            qx=object@deathProbs;
+            (1-object@improvement)^(Period-object@baseYear)*qx
+          })
+setMethod("periodDeathProbabilities","valuationTable.mixed",
+          function (object,  ..., Period=1975) {
+            qx1=periodDeathProbabilities(object@table1, ..., Period=Period);
+            qx2=periodDeathProbabilities(object@table2, ..., Period=Period);
+            (object@weight1*qx1 + object@weight2*qx2)/(object@weight1 + object@weight2)
+          })
+
+
+
+
 setGeneric("lifeTable", function(object, ...) standardGeneric("lifeTable"));
 setMethod("lifeTable","valuationTable",
           function (object,  ...) {
@@ -116,3 +187,107 @@ setMethod("lifeTable","valuationTable",
           })
 
 
+setGeneric("baseYear", function(object, ...) standardGeneric("baseYear"));
+setMethod("baseYear","valuationTable",
+          function (object,  ...) {
+            object@baseYear
+          })
+setMethod("baseYear","valuationTable.mixed",
+          function (object,  ...) {
+            baseYear(object@table1)
+          })
+
+setGeneric("baseTable", function(object, ...) standardGeneric("baseTable"));
+setMethod("baseTable","valuationTable",
+          function (object,  ...) {
+            c()
+          })
+setMethod("baseTable","valuationTable.period",
+          function (object,  ...) {
+            object@deathProbs
+          })
+
+
+setGeneric("getPeriodTable", function(object, Period, ...) standardGeneric("getPeriodTable"));
+setMethod("getPeriodTable","valuationTable",
+          function (object, Period, ...) {
+            valuationTable.period(
+                name = paste(object@name, ", Period ", Period), 
+                baseYear = Period,
+                ages = ages(object), 
+                deathProbs = periodDeathProbabilities(object, Period=Period)
+            )
+          })
+
+setGeneric("getCohortTable", function(object, Period, ...) standardGeneric("getCohortTable"));
+setMethod("getCohortTable","valuationTable",
+          function (object, YOB, ...) {
+            valuationTable.period(
+                name = paste(object@name, ", YOB ", YOB),
+                baseYear = YOB,
+                ages=ages(object), 
+                deathProbs=deathProbabilities(object, YOB=YOB)
+            );
+          })
+
+
+
+makeQxDataFrame = function(..., YOB=1972, Period=NA) {
+  data=list(...);
+  names(data) = lapply(data, function(t) t@name);
+  if (missing(Period)) {
+    cat("Year of birth: ", YOB, "\n");
+    data = lapply(data, function(t) cbind(x=t@ages, y=deathProbabilities(t, YOB=YOB)))
+  } else {
+    cat("Period: ", Period,"\n");
+    data = lapply(data, function(t) cbind(x=t@ages, y=periodDeathProbabilities(t, Period=Period)))
+  }
+  
+  list.names = names(data)
+  lns <- sapply(data, nrow)
+  data <- as.data.frame(do.call("rbind", data))
+  data$group <- rep(list.names, lns)
+  data
+}
+
+plotValuationTables = function(..., title = "", legend.position=c(0.9,0.1), legend.key.width = unit(25, "mm")) {
+  data = makeQxDataFrame(...);
+  
+  pl = ggplot(data, aes(x = x, y = y, colour = data$group)) +
+    theme_bw() +
+    theme(
+      plot.title = element_text(size=18, face="bold"),
+      legend.title = element_text(size=14, face="bold.italic"),
+      # legend in bottom right corner of the plot
+      legend.justification=c(1,0), legend.position=legend.position,
+      # No box around legend entries
+      legend.key = element_blank(),
+      legend.key.width = legend.key.width,
+      legend.background = element_rect(colour="gray50", linetype="solid")
+    ) +
+    geom_line() +
+    scale_y_log10(
+      name=expression(paste("Sterbewahrscheinlichkeit  ", q[x])),
+      breaks = scales::trans_breaks('log10', function(x) 10^x),
+      labels = scales::trans_format('log10', scales::math_format(10^.x))
+      #minor_breaks = log(c(sapply(x, function(x) seq(0, x, x/10))), 10)
+    ) +
+    scale_x_continuous(
+      name="Alter",
+      #breaks = function (limits) scales::trans_breaks('', function(x) 10^x),
+      breaks = function (limits) seq(max(min(limits),0),max(limits),5),
+      minor_breaks = function (limits) seq(max(round(min(limits)),0),round(max(limits)),1),
+      #labels = scales::trans_format('log10', scales::math_format(10^.x))
+      
+    ) +
+    annotation_logticks(sides="lr") +
+    xlab("Alter") + labs(colour="Sterbetafel");
+  if (title != "") {
+    pl = pl + ggtitle(title);
+  }
+  pl# + coord_flip()
+}
+plotValuationTables(mort.AT.census.1869.male, mort.AT.census.1869.female, mort.AT.census.2011.male, mort.AT.census.2011.female, AVOe2005R.male, AVOe2005R.female, YOB=1972,title="Vergleich österreichische Sterbetafeln")
+
+plotValuationTables(mort.AT.census.2001.male, AVOe2005R.male, YOB=1972, title="Vergleich österreichische Sterbetafeln")
+plotValuationTables(getCohortTable(AVOe2005R.male, YOB=1972), getCohortTable(AVOe2005R.male, YOB=2016), title="Vergleich österreichische Sterbetafeln")
diff --git a/R/ValuationTables_Austria_Annuities.R b/R/ValuationTables_Austria_Annuities.R
index 3b6f192..c4385c7 100644
--- a/R/ValuationTables_Austria_Annuities.R
+++ b/R/ValuationTables_Austria_Annuities.R
@@ -218,3 +218,6 @@ AVOe2005R.unisex.group.av=AVOe2005R_gen.av("AVÖ 2005R unisex group (age-shifted
 
 
 ###############################################################################
+
+t=AVOe2005R.male;
+deathProbabilities(t, YOB=2001)
diff --git a/R/ValuationTables_Austria_Census.R b/R/ValuationTables_Austria_Census.R
index 7096d1a..31e2a65 100644
--- a/R/ValuationTables_Austria_Census.R
+++ b/R/ValuationTables_Austria_Census.R
@@ -109,3 +109,31 @@ ggplot(mort.AT.census.ALL.maleA, aes(x = x, y = y, colour = mort.AT.census.ALL.m
 
 
 plotValuationTables(mort.AT.census.1869.male, mort.AT.census.1869.female, mort.AT.census.2011.male, mort.AT.census.2011.female, title="Vergleich österreichische Sterbetafeln")
+
+plotValuationTables(
+                    #mort.AT.census.1869.male,
+                    ##mort.AT.census.1880.male,
+                    #mort.AT.census.1890.male,
+                    #mort.AT.census.1900.male,
+                    #mort.AT.census.1910.male,
+                    #mort.AT.census.1931.male,
+                    #mort.AT.census.1951.male,
+                    #mort.AT.census.1961.male,
+                    #mort.AT.census.1971.male,
+                    #mort.AT.census.1981.male,
+                    #mort.AT.census.1991.male,
+                    #mort.AT.census.2001.male,
+                    #mort.AT.census.2011.male,
+  mort.AT.census.1869.female,
+  mort.AT.census.1880.female,
+  mort.AT.census.1890.female,
+  mort.AT.census.1900.female,
+  mort.AT.census.1910.female,
+  mort.AT.census.1931.female,
+  mort.AT.census.1951.female,
+  mort.AT.census.1961.female,
+  mort.AT.census.1971.female,
+  mort.AT.census.1981.female,
+  mort.AT.census.1991.female,
+  mort.AT.census.2001.female,
+  mort.AT.census.2011.female, title="Vergleich österreichische Sterbetafeln", legend.position=c(1,0))
\ No newline at end of file
diff --git a/R/ValuationTables_Germany_Annuities.R b/R/ValuationTables_Germany_Annuities.R
index 13c2cf0..d5f94d8 100644
--- a/R/ValuationTables_Germany_Annuities.R
+++ b/R/ValuationTables_Germany_Annuities.R
@@ -86,6 +86,6 @@ DAV2004R.male=valuationTable.trendProjection(
 DAV2004R.female=valuationTable.trendProjection(
   name="DAV 2004R female",
   ages=DAV2004R.exakt.data$age, baseYear=2000,
-  deathProbs=DAV2004R.exakt.data$qy2000, 
+  deathProbs=DAV2004R.exakt.data  $qy2000, 
   trend=DAV2004R.exakt.data$trendF
 );
diff --git a/ValuationTables.RData b/ValuationTables.RData
new file mode 100644
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-- 
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