Use the result for a transparent first-pass actuarial calculation when the probability, interest, exposure, and timing assumptions are already defined on a consistent basis.

First life death probability

Annual death probability of the first life.

Second life death probability

Annual death probability of the second life.

Calculate the probability that the first life dies before the second life under constant forces of mortality derived from annual death probabilities. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

First to die probability

Probability that the first life dies before the second.

• Actuarial results are conditional on the supplied mortality, survival, loss, interest, or development assumptions. They are not a premium opinion, reserve certification, or substitute for experience analysis and regulatory judgment.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Compare the result with a second reserving, credibility, or life-contingency method and test how it changes under plausible assumption ranges. Retain the basis and valuation date with the result.

• Continuous Whole Life EPV Calculator

  Calculate the expected present value of a continuously paying whole life insurance under a constant force of mortality derived from the annual death probability.

• Joint Life Expectation Calculator

  Calculate the complete expected lifetime of the joint status of two independent lives under constant forces of mortality derived from annual death probabilities.

• Probability First Cause Calculator

  Calculate the probability that a given cause of decrement is the first to remove the life, using constant hazards derived from independent annual rates.