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Computes $$ \frac{dV}{dt} = P + \delta V - \mu(B - V). $$

Usage

thiele_dVdt(V, P, delta, mu, benefit = 1)

Arguments

V

Reserve at time `t`.

P

Premium rate.

delta

Force of interest.

mu

Nonnegative force of mortality.

benefit

Benefit amount.

Value

Numeric vector of reserve derivatives.

Examples

thiele_dVdt(
  V = 900,
  P = 25,
  delta = 0.05,
  mu = 0.002,
  benefit = 1000
)
#> [1] 69.8