thV: Benefit Reserve

In nathanesau/makehams: Ultimate Select Survival Model (AMLCR)

Description

Uses Euler's method to solve Thiele's differential equation to approximate the value of t+hV

Usage

thV(t = 0, h = 1, x = gl.g(x), tV = 0, Pt = function(t) {     t^0 *
  gl.g(pi) }, deltat = function(t) {     t^0 * log(1 + gl.g(i)) },
  bt = function(t) {     t^0 }, ut = function(t) {     uxt(t, x) },
  s = 0.01)

Arguments

t	the time for which the reserve is known
h	the the time from t for which the reserve should be calculated
x	the age of the person for which the reserve is being calculated
tV	the value of the reserve at time t
Pt	the premium as a function of t
deltat	the force of interest as a function of t
bt	the death benefit payable immediately at the time of death as a function of t
ut	the force of mortality as a function of t
s	the step to use in Euler's method

Details

This function does not take into account expenses

nathanesau/makehams documentation built on May 23, 2019, 12:19 p.m.