Computes the exact whole life m-thly annuity-due.
Usage
adotx_m(x, m, i, model, ..., k_max = 2e+05, tol = 1e-12)
Arguments
- x
Age.
- m
Number of payments per year.
- i
Effective annual interest rate.
- model
Survival model name.
- ...
Additional parameters passed to the survival model.
- k_max
Maximum summation horizon for non-terminating models.
- tol
Truncation tolerance for non-terminating models.
Value
Numeric vector of annuity values.
Details
$$\ddot{a}_x^{(m)} = \frac{1}{m}\sum_{t=0}^{\infty} v^{t/m}\,{}_{t/m}p_x$$
Examples
adotx_m(40, m = 12, i = 0.05, model = "uniform", omega = 100)
#> [1] 13.91107