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pxtau_ul() computes one-year persistency probabilities under mortality and withdrawal.

Usage

pxtau_ul(qd, qw, year_end_withdrawal = TRUE)

tpxtau_ul(qd, qw, year_end_withdrawal = TRUE)

Arguments

qd

Mortality probabilities.

qw

Withdrawal probabilities.

year_end_withdrawal

Logical scalar. If TRUE, withdrawal is modeled at year-end and persistency is \((1-q^{(d)})(1-q^{(w)})\). Otherwise persistency is \(1-q^{(d)}-q^{(w)}\).

Value

A numeric vector.

Details

tpxtau_ul() computes cumulative persistency through the end of each policy year.

Examples

qd <- c(0.001, 0.002, 0.003)
qw <- c(0.02, 0.02, 0.03)

pxtau_ul(qd, qw)
#> [1] 0.97902 0.97804 0.96709
tpxtau_ul(qd, qw)
#> [1] 0.9790200 0.9575207 0.9260087