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Hattendorff's Theorem, attributed to K. Hattendorff (1868), is a theorem in actuarial science that describes the allocation of the variance or risk of the loss random variable over the lifetime of an actuarial reserve. In other words, Hattendorff's theorem demonstrates that the variation in the present value of the loss of an issued insurance ...
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 annuities. The probability of a future ...
"Estimated Impact on the Federal Deficit and Insurance Premiums from Creating a New Health Plan Tier with an Actuarial Value Level of 50 Percent" (PDF). Archived from the original (PDF) on 2014-09-08. (Report to the Council for Affordable Health Coverage) Mendelson, Dan (June 27, 2011). "Establishing Sensible Cost Sharing for Medicare Cancer ...
Actuarial mathematics is typically used and this methodology is specified by Paragraph 50(a) of IAS 19. Using actuarial valuation methods, how liabilities should be apportioned in respect of “earned” and “unearned" service. A related issue is how the cost relating to the accrual of benefits in the plan over the most recent accounting ...
It is generally equal to the actuarial present value of the future cash flows of a contingent event. 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.
This is useful when a policy or fund provides a guarantee, e.g. a minimum investment return of 5% per annum. A deterministic simulation, with varying scenarios for future investment return, does not provide a good way of estimating the cost of providing this guarantee.
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.
The key with a net premium valuation is that the premiums being valued are theoretical measures - they make no reference to the actual premiums being charged by the insurer. This technique is a well-established actuarial valuation method, that became popular because of its simplicity, consistency, and ease of calculation.