R package implementing actuarial mortality tables (period and cohort life tables)
The MortalityTables package provides the mortalityTable
base class and
some derived classes to handle different types of mortality tables (also
called life tables), mainly
used for life insurance. Additionally it provides a plot function to compare
multiple life tables either directly using the absolute mortalities in
log-linear plots or using relative mortalities as percentages of a given
reference table.
Provided types of mortality tables are:
mortalityTable
mortalityTable.period(ages, deathProbs, ..., baseYear=2000)
: Death probabilities observed / predicted for one observation year;
No dependency on the bith year is assumed.mortalityTable.trendProjection
: Death probabilities of a given base year are projected into the future
using age-specific trends $\lambda_x$. The death probability of an $x$-year old in year
baseYear + n
is calculated as:
$$q_x^{(baseYear+n)} = q_x^{(baseYear)} \cdot e^{-n\cdot\lambda_x}$$
: Consequently, the death probabilities for a person born in year YOB
can be calculated as
$$q_x^{YOB} = q_x^{(base)} \cdot e^{-(YOB+x-baseYear)\cdot \lambda_x}$$mortalityTable.ageShift
: Death probabilities for cohort $YOB$ are obtained by using death probabilities
for cohort $X$ and modifying the technical age with a birth-year dependent shift:
$$q_x^{YOB} = q_{x+shift(YOB)}^{(base)}$$
mortalityTable.mixed
: Arithmetic mean of two life tables with given weights. This approach is
often used to generate unisex life tables by mixing male and female
mortalities with given weights (e.g. 70:30 or 40:60)mortalityTable.improvementFactors
: Project base life table using age-specific improvement factors.pensionTable
: Four states: active, early retirement / invalidity, old-age pension, death (with optional widow)
: All slots describe the corresponding transition probabilities by a
: mortalityTable
-derived object.library("MortalityTables")
The package provides several real-life life tables published by census bureaus
and actuarial associations around the world. You can use the function
mortalityTables.list
to list all available datasets (if no argument is given)
or all datasets that match the given pattern (wildcard character is *). You can
then use mortalityTables.load
to load either one single data set or all
datasets that match the pattern.
# list all available data sets
mortalityTables.list()
# list all datasets for Austria
mortalityTables.list("Austria_*")
# Load the German annuity table DAV 2004-R
mortalityTables.load("Germany_Annuities_DAV2004R")
# Load all Austrian data sets
mortalityTables.load("Austria_*")
For further information on how to use the package, see the "Using the MortalityTables Package" vignette.
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