Deferred temporary annuity-immediate under mortality improvement

Computes $${}_{u\mid}a_{x:\overline{n}|} = \sum_{t=u+1}^{u+n} v^t \, {}_tp_x^{(\mathrm{improved})}$$

Usage

naxn_improved(x0, u, n, i, qx_base_vec, AAx_vec, base_year, issue_year)

Arguments

x0

Issue age.

u

Deferral period in years.

n

Temporary payment period in years.

i

Effective annual interest rate.

qx_base_vec

Base-year one-year death probabilities for ages x0, x0+1, ..., x0+u+n-1.

AAx_vec

Mortality improvement factors for ages x0, x0+1, ..., x0+u+n-1.

base_year

Base year.

issue_year

Issue year.

Value

Numeric scalar.