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In actuarial science and applied probability, ruin theory (sometimes risk theory [1] or collective risk theory) uses mathematical models to describe an insurer's vulnerability to insolvency/ruin. In such models key quantities of interest are the probability of ruin, distribution of surplus immediately prior to ruin and deficit at time of ruin.
The actuarial control cycle is a specific business activity which involves the application of actuarial science to real world business problems. The actuarial control cycle requires a professional within that field (i.e., an actuary ) to specify a problem, develop a solution, monitor the consequences thereof, and repeat the process. [ 1 ]
"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 ...
2003 US mortality table, table 1, page 1Actuarial science is the discipline that applies mathematical and statistical methods to assess risk in insurance, pension, finance, investment and other industries and professions.
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 ...
Under some other settings, TVaR is the conditional expectation of loss above a given value, whereas the expected shortfall is the product of this value with the probability of it occurring. [3] The former definition may not be a coherent risk measure in general, however it is coherent if the underlying distribution is continuous. [4]
Monte Carlo methods are used in corporate finance and mathematical finance to value and analyze (complex) instruments, portfolios and investments by simulating the various sources of uncertainty affecting their value, and then determining the distribution of their value over the range of resultant outcomes.
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.