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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 .
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.
There are two algebraically equivalent approaches to calculating the Bornhuetter–Ferguson ultimate loss. In the first approach, undeveloped reported (or paid) losses are added directly to expected losses (based on an a priori loss ratio) multiplied by an estimated percent unreported.
Valuation of life annuities may be performed by calculating the actuarial present value of the future life contingent payments. Life tables are used to calculate the probability that the annuitant lives to each future payment period. Valuation of life annuities also depends on the timing of payments just as with annuities certain, however life ...
Most actuarial calculations use the risk-free interest rate which corresponds ... one year so that the two options are equivalent (either receiving $100 today or ...
Under some formulations, it is only equivalent to expected shortfall when the underlying distribution function is continuous at (), the value at risk of level . [2] 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 ...
In finance, the equivalent annual cost (EAC) is the cost per year of owning and operating an asset over its entire lifespan.It is calculated by dividing the negative NPV of a project by the "present value of annuity factor":
European embedded value (EEV) is a variation of EV which was set up by the CFO Forum which allows for a more formalised method of choosing the parameters and doing the calculations, to enable greater transparency and comparability.