Total gross gain for a discrete insurance contract

Computes total gain during one policy year under gross premiums, gross reserves, actual mortality, actual interest, and actual expenses.

Usage

GTg_disc(
  VtG,
  Vt1G,
  G,
  i_actual,
  q_actual,
  r_actual = 0,
  e_actual = 0,
  s_actual = 0,
  b = 1
)

Arguments

VtG

Gross reserve at duration t.

Vt1G

Gross reserve at duration t + 1.

G

Gross premium.

i_actual

Actual annual effective interest rate.

q_actual

Actual mortality probability.

r_actual

Actual percent-of-premium expense rate.

e_actual

Actual per-policy expense.

s_actual

Actual settlement expense.

b

Benefit amount.

Value

A numeric vector of total gains.

Examples

GTg_disc(
  VtG = 0.10,
  Vt1G = 0.12,
  G = 0.02,
  i_actual = 0.05,
  q_actual = 0.01,
  r_actual = 0.03,
  e_actual = 0,
  s_actual = 0.01,
  b = 1
)
#> [1] -0.00353