Identify and apply Thiele's differential equation in a single life or multiple state setting.
Free SOA Exam ALTAM (Advanced Long-Term Actuarial Mathematics) lesson in Premium and Policy Valuation for Long-Term Coverages. 12 min read, ~1,768 words.
Single-life form:. Multi-state form: for state,. Net amount at risk for the transition is. Solve backward from terminal condition using Euler:. Sign discipline: premiums positive into growth, benefits negative out, decrement terms always subtract.
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