src.system.actuarial_math.convert_decrement_rate

src.system.actuarial_math.convert_decrement_rate(q_x: float, interval: relativedelta) float

Converts a decrement rate from an annual basis to another basis, using this formula:

\[ \begin{align}\begin{aligned}p_{interval} = (1 - q_x) ^ {interval}\\q_{interval} = 1 - p_{interval}\end{aligned}\end{align} \]
Parameters:
  • q_x – Annual decrement rate

  • interval – Target basis

Returns:

\(q_{interval}\)