% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/reserve_ch10_ext.R
\name{thiele_backward_path}
\alias{thiele_backward_path}
\title{Backward reserve path from a terminal value}
\usage{
thiele_backward_path(times, V_terminal, P, delta, mu, benefit = 1)
}
\arguments{
\item{times}{Finite numeric vector of strictly increasing times.}

\item{V_terminal}{Finite scalar reserve at the final time.}

\item{P}{Premium rate, scalar or vector with one value per time step.}

\item{delta}{Force of interest, scalar or vector with one value per step.}

\item{mu}{Nonnegative force of mortality, scalar or vector with one value
per step.}

\item{benefit}{Benefit amount, scalar or vector with one value per step.}
}
\value{
Numeric vector of reserve values corresponding to `times`.
}
\description{
Starting from a terminal reserve at the final time, computes reserves
backward over a strictly increasing time grid using
`thiele_backward_step()`.
}
\examples{
times <- seq(19, 20, by = 0.25)

thiele_backward_path(
  times,
  V_terminal = 1000,
  P = 26.96,
  delta = 0.058,
  mu = 0.002,
  benefit = 1000
)
}
