% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/reserve_ch10_ext.R
\name{GT_cont}
\alias{GT_cont}
\title{Total gain for a continuous-style one-step recursion}
\usage{
GT_cont(Vt, Vt1, P, delta_actual, p_actual, benefit = 0, h = 1)
}
\arguments{
\item{Vt}{Reserve at time `t`.}

\item{Vt1}{Reserve at time `t + h`.}

\item{P}{Premium rate.}

\item{delta_actual}{Actual force of interest.}

\item{p_actual}{Actual survival probability over the step.}

\item{benefit}{Benefit paid at the start of the step.}

\item{h}{Positive step length.}
}
\value{
Numeric vector of gain values.
}
\description{
Computes the amount accumulated during a step, less the expected reserve
required at the end of the step.
}
\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 \eqn{[0,1]}.
}
\examples{
GT_cont(
  Vt = 10,
  Vt1 = 11,
  P = 1,
  delta_actual = 0.05,
  p_actual = 0.99
)
}
