Computes the amount accumulated during a step, less the expected reserve
required at the end of the step.
Usage
GT_cont(Vt, Vt1, P, delta_actual, p_actual, benefit = 0, h = 1)
Arguments
- Vt
Reserve at time `t`.
- Vt1
Reserve at time `t + h`.
- P
Premium rate.
- delta_actual
Actual force of interest.
- p_actual
Actual survival probability over the step.
- benefit
Benefit paid at the start of the step.
- h
Positive step length.
Value
Numeric vector of gain values.
Details
Reserves, premium rates, benefits, and forces of interest may be negative
when such values are meaningful for the application. The step length must
be positive, and the survival probability must lie in \([0,1]\).
Examples
GT_cont(
Vt = 10,
Vt1 = 11,
P = 1,
delta_actual = 0.05,
p_actual = 0.99
)
#> [1] 0.6739821