Reserve derivatives for a disability model with recovery

Computes the coupled Thiele reserve derivatives. Numeric arguments may be scalar or compatible vectors.

Usage

thiele_dVdt_01(t, V0, V1, delta, Pbar, B, R, mu01, mu02, mu10, mu12)

Arguments

t

Time.

V0

Healthy-state reserve.

V1

Disabled-state reserve.

delta

Force of interest.

Pbar

Continuous premium rate.

B

Death benefit.

R

Continuous disability income rate.

mu01

Healthy-to-disabled intensity function.

mu02

Healthy-to-deceased intensity function.

mu10

Disabled-to-healthy intensity function.

mu12

Disabled-to-deceased intensity function.

Value

A named vector for scalar input or a two-column matrix for vectorized input.