Loading [Contrib]/a11y/accessibility-menu.js

Asset Share Example

iDevice icon SoA MLC 242
For a fully discrete whole life insurance of 10,000 on ($x$), you are given:
  • $~_{10} AS =1600$ is the asset share at the end of year 10.
  • $G = 200$ is the gross premium.
  • $~_{11} CV =1700$ is the cash value at the end of year 11.
  • $ c_{10} = 0.04$ is the fraction of gross premium paid at time 10 for expenses.
  • $e_{10} = 70$ is the amount of per policy expense paid at time 10.
  • Death and withdrawal are the only decrements.
  • $q_{x+10}^{(d)} = 0.02 $
  • $q_{x+10}^{(w)} = 0.18 $
  • $i = 0.05$
Calculate $~_{11} AS $, the asset share at the end of year 11.