Reserve derivative from Thiele's equation

Computes \(dV/dt = P + \delta V - \mu(B - V)\).

Usage

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

Arguments

V

Reserve at time t.

P

Premium rate.

delta

Force of interest.

mu

Force of mortality.

benefit

Benefit amount. Defaults to 1.

Value

Numeric vector.

Examples

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