Retrospective whole life reserve

Computes the retrospective net level premium reserve $${}_tV_x = P_x\ddot{s}_{x:\overline{t}|} - \frac{A_{x:\overline{t}|}^{1}}{{}_tE_x}.$$

Usage

tVx_ret(x, t, i, model = NULL, ..., tbl = NULL)

Arguments

x

Issue age. May be scalar or vector.

t

Nonnegative integer duration. May be scalar or vector.

i

Effective annual interest rate. May be scalar or vector.

model

Optional parametric survival model.

...

Additional parameters passed to the actuarial functions.

tbl

Optional life table object. Supply by name.

Value

Numeric vector of retrospective reserve values.

Details

The mortality basis may be supplied through either a life table or a parametric survival model.

Examples

tVx_ret(
  40,
  t = 10,
  i = 0.05,
  model = "uniform",
  omega = 100
)
#> [1] 0.07250474