V_AD.: Reserve Valuation for Decreasing Life Insurance
In DetLifeInsurance: Life Insurance Premium and Reserves Valuation

Description Usage Arguments Value References Examples

Calculates the reserve for the decreasing life insurance up to the moment t.

V_AD.(
  px,
  x,
  h,
  n,
  k = 1,
  cantprem = 1,
  premperyear = 1,
  i = 0.04,
  data,
  prop = 1,
  assumption = "none",
  variation = "none",
  cap,
  t
)

`px`	A numeric value. The value of the premium paid in each period.
`x`	An integer. The age of the insuree.
`h`	An integer. The deferral period.
`n`	An integer. Number of years of coverage.
`k`	An integer. Number of fractions per year.
`cantprem`	An integer. The total number of premiums.
`premperyear`	An integer. The number of premiums to be paid per year.
`i`	The interest rate. A numeric type value.
`data`	A data.frame containing the mortality table, with the first column being the age and the second one, the probability of death.
`prop`	A numeric value. It represents the proportion of the mortality table used (between 0 and 1).
`assumption`	A character string. The assumption used for fractional ages ("UDD" for uniform distribution of deaths, "constant" for constant force of mortality and "none" if there is no fractional coverage).
`variation`	A character string. "inter" if the variation it's inter-annual or "intra" if it's intra-annual.
`cap`	A numeric type value. Amount insured for the first year/period.
`t`	An integer. The moment of valuation (in months if it is a fractional coverage or in years if it is not).

A data frame with Premium, Risk, 1/E and reserve values up to the moment t.

Chapter 5 of Life Contingencies (1952) by Jordan, Chapter 11 of Actuarial Mathematics for Life Contingent Risks (2009) by Dickson, Hardy and Waters.

V_AD.(251.489227521537,20,2,2,1,2,1,0.04,CSO80MANB,1,"none","none",100000,4)
V_AD.(432.974179723949/12,20,2,2,2,24,12,0.04,CSO80MANB,1,"UDD","intra",100000,48)
V_AD.(258.794207318685/12,20,2,2,2,24,12,0.04,CSO80MANB,1,"UDD","inter",100000,48)
V_AD.(412.784641829906/12,20,2,2,2,24,12,0.04,CSO80MANB,1,"constant","intra",100000,48)
V_AD.(258.189935788232/12,20,2,2,2,24,12,0.04,CSO80MANB,1,"constant","inter",100000,48)