% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/reserve_ch10_ext.R
\name{thiele_dVdt}
\alias{thiele_dVdt}
\title{Reserve derivative from Thiele's equation}
\usage{
thiele_dVdt(V, P, delta, mu, benefit = 1)
}
\arguments{
\item{V}{Reserve at time `t`.}

\item{P}{Premium rate.}

\item{delta}{Force of interest.}

\item{mu}{Nonnegative force of mortality.}

\item{benefit}{Benefit amount.}
}
\value{
Numeric vector of reserve derivatives.
}
\description{
Computes
\deqn{
\frac{dV}{dt}
=
P + \delta V - \mu(B - V).
}
}
\examples{
thiele_dVdt(
  V = 900,
  P = 25,
  delta = 0.05,
  mu = 0.002,
  benefit = 1000
)
}
