aCont {DetLifeInsurance} | R Documentation |
Continuous Life Annuities
Description
Calculates the present value of a continuous life annuity.
Usage
aCont(x, h, n, i = 0.04, data, prop = 1, assumption = "constant", cap = 1)
Arguments
x |
An integer. The age of the insuree. |
h |
An integer. The deferral period. |
n |
An integer. Number of years of coverage. |
i |
The interest rate. A numeric type value. |
data |
A data.frame of 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 being used (between 0 and 1). |
assumption |
A character string. The assumption used for fractional ages ("UDD" for uniform distribution of deaths and "constant" for constant force of mortality). |
cap |
A numeric type value. The value of the payment. |
Value
Returns a numeric value (the actuarial present value).
References
Chapter 2 of Life Contingencies (1952) by Jordan, chapter 5 of Actuarial Mathematics (1997) by Bowers, Gerber, Hickman, Jones & Nesbitt.
Examples
aCont(35,7,10,0.04,CSO80MANB,1,"constant",1)
aCont(23,5,12,0.04,CSO80MANB,1,"UDD",1)