Calculate premiums for state-dependent life insurance, long-term health insurance, and CCRCs using the equivalence principle.

Free SOA Exam ALTAM (Advanced Long-Term Actuarial Mathematics) lesson in Premium and Policy Valuation for Long-Term Coverages. 63 min read, ~9,450 words.

Equivalence principle: Expected present value (EPV) of premiums equals EPV of benefits plus expenses at issue. Annuity in state j: Premiums collect in active states; benefits pay in claim states. Insurance on transition: Lump sums fire the instant a life moves between states. Long-term health: Premiums waive while disabled; benefits...

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