Mortality and Insurance

Load with "load mortality". Help with "help mortality.e".

Functions to compute life insurances using a table of mortality. The tables are containted in the files pm.dat and pf.dat.

For more information try "help mortality", see the example notebook, or see the snippets in the user menu.

function map ptodiewithin (agenow:integer, age:integer, gender=male)

  Probablity to between the two ages
  
  agenow : current age
  age : later age (inclusive)
  gender : male (0) or female (1)

function map ptodiein (agenow:integer, age:integer, gender=male)

  Probablity to die in a specific age
  
  agenow : current age
  age : age of death
  gender : male (0) or female (1)

function map lifeexpect (age:integer, gender=male)

  Expected life span
  
  age : current age
  gender : male (0) or female (1)

function map pension (agenow:integer, agestart:integer, ..
    interest:number, gender=male)

  Value of an eternal pension
  
  We assume the pension stops at age 100.
  
  agenow : the current age
  agestart : the age, the pension starts
  interest : the interest rate (as a fraction, e.g. 5%)
  gender : male (0) or female (1)
  
  Returns the value of 1 monetary unit

function pensionv (age:integer, v:real vector, ..
    interest:number, gender=male, pay=0)

  Value of payments v[1],...,v[n]
  
  The functions assumes, that the payments start after one year, but
  stop as soon as the person dies. There are at most length(v)
  payments.
  
  age : current age
  v : vector of payments
  interest : the interest rate (as a fraction, e.g. 5%)
  gender : male (0) or female (1)
  pay : last payment will always be payed

function lifeinsurance (agenow:integer, ageend:integer, ..
    interest:number, gender=male, pay=1)

  Risk of a life insurance
  
  This computes the value of a life insurance with payment 1,
  starting at an age, and payable at death or an end age (pay=1).
  If pay=0, then the end amount will not be payed, and the
  amount will only be payed, if the person dies BEFORE the
  ending age.
  
  agenow : starting age of the insurance
  ageend : ending age of the insurance
  interest : the interest rate (as a fraction, e.g. 5%)
  gender : male (0) or female (1)
  pay : amount will be payed at end (1) or not (0)

function payments (agenow:integer, ageend:integer, ..
    interest:number, gender=male)

  Value of payments till end age or death
  
  agenow : start age of payments
  ageend : last payment at that age
  interest : the interest rate (as a fraction, e.g. 5%)
  gender : male (0) or female (1)

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