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Illustration of the partial payout of Sum Insured against probability of occurrence. Condition of average (also called underinsurance [1] in the U.S., or principle of average, [2] subject to average, [3] or pro rata condition of average [4] in Commonwealth countries) is the insurance term used when calculating a payout against a claim where the policy undervalues the sum insured.
The actuarial present value (APV) is the expected value of the present value of a contingent cash flow stream (i.e. a series of payments which may or may not be made). ). Actuarial present values are typically calculated for the benefit-payment or series of payments associated with life insurance and life
Closed-form formulas exist for calculating TVaR when the payoff of a portfolio or a corresponding loss = follows a specific continuous distribution. If X {\displaystyle X} follows some probability distribution with the probability density function (p.d.f.) f {\displaystyle f} and the cumulative distribution function (c.d.f.) F {\displaystyle F ...
It is primarily used in the property and casualty [5] [9] and health insurance [2] fields. Generally considered a blend of the chain-ladder and expected claims loss reserving methods, [ 2 ] [ 8 ] [ 10 ] the Bornhuetter–Ferguson method uses both reported or paid losses as well as an a priori expected loss ratio to arrive at an ultimate loss ...
Actuarial notation is a shorthand method to allow actuaries to record mathematical formulas that deal with interest rates and life tables.. Traditional notation uses a halo system, where symbols are placed as superscript or subscript before or after the main letter.
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In the insurance context an actuarial reserve is the present value of the future cash flows of an insurance policy and the total liability of the insurer is the sum of the actuarial reserves for every individual policy. Regulated insurers are required to keep offsetting assets to pay off this future liability.
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