Define and interpret state-dependent insurance and annuity present value random variables and identify and calculate their expected values.

Free SOA Exam ALTAM (Advanced Long-Term Actuarial Mathematics) lesson in Premium and Policy Valuation for Long-Term Coverages. 37 min read, ~5,555 words.

Annuity benefits depend on the state the life OCCUPIES; insurance benefits depend on the TRANSITION just made. Continuous annuity EPV in state j given start in state i:. Transition insurance EPV paid on entry to state j from anywhere:. Linearity is the workhorse. Decompose any complex benefit into state-occupancy pieces...

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