Actuarial & Insurance
Basic
Simple Term Insurance Cost
Expected one-year cost of a term policy.
Formula
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MembersVariables
CExpected cost
q_xMortality rate
BBenefit amount
Example
q_x=0.002, B=$200,000: C = $400
Did You Know?
This is why term life is cheap when young — the yearly probability of a claim is tiny.
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IntermediateExpected claim cost per policy: frequency times severity.
Gross Premium
IntermediatePremium that covers claims plus an expense/profit load.
Loss Ratio
BasicClaims paid divided by premiums earned.
Combined Ratio
IntermediateTotal cost ratio: losses plus expenses vs premium.
Expected Value of a Claim
BasicProbability-weighted average of possible claim amounts.
Present Value of an Annuity
IntermediateValue today of a stream of future payments.