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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.
The Commissioner's Reserve Valuation Method was itself established by the Standard Valuation Law (SVL), which was created by the NAIC and adopted by the several states shortly after World War II. The first mortality table prescribed by the SVL was the 1941 CSO (Commissioner's Standard Ordinary) table, [ 3 ] at a maximum interest rate of 3½%.
So the reserve is the present value of future benefits less the present value of future notional net premiums. In applying a Zillmer adjustment, the net premium (NP) is increased by an amount /: |. This sets the reserve at time t=0 to -E, and over the expected lifetime of the policy the Zillmer reserve smoothly drops to zero.
The chain-ladder or development [1] method is a prominent [2] [3] actuarial loss reserving technique. The chain-ladder method is used in both the property and casualty [1] [4] and health insurance [5] fields. Its intent is to estimate incurred but not reported claims and project ultimate loss amounts. [5]
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 ...
Asset and liability management (often abbreviated ALM) is the term covering tools and techniques used by a bank or other corporate to minimise exposure to market risk and liquidity risk through holding the optimum combination of assets and liabilities. [1]
The business objectives are set as a guide for insurers while designing the rating system. The rating system should meet each of the four objectives: [ 1 ] For producers to be able to quote premiums with a minimum amount of their time and expense, the rating system should be easy to understand.
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. Example notation using the halo system can be seen below.