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Computes survival over n years starting at age x0 in year issue_year, using base-year mortality qx_base_vec and improvement factors AAx_vec.

Usage

tpx_improved(x0, n, qx_base_vec, AAx_vec, base_year, issue_year)

Arguments

x0

Issue age.

n

Number of years.

qx_base_vec

Base-year one-year death probabilities for successive ages.

AAx_vec

Mortality improvement factors for successive ages.

base_year

Base year.

issue_year

Issue year.

Value

Numeric scalar.

Details

The vectors should correspond to ages x0, x0+1, ..., x0+n-1.

The survival probability is $$\prod_{j=0}^{n-1} \left(1 - q_{x+j}^{[issue\_year+j]}\right)$$.