|
An actuarial reserve is a liability 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. Regulated insurers are required to keep offsetting assets to pay off this future liability. ==The loss random variable== The loss random variable is the starting point in the determination of any type of actuarial reserve calculation. Define to be the future state lifetime random variable of a person aged x. Then, for a death benefit of one dollar and premium , the loss random variable, , can be written in actuarial notation as a function of : From this we can see that the present value of the loss to the insurance company now if the person dies in ''t'' years, is equal to the present value of the death benefit minus the present value of the premiums. The loss random variable described above only defines the loss at issue. For ''K''(''x'') > ''t'', the loss random variable at time ''t'' can be defined as: : 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Actuarial reserves」の詳細全文を読む スポンサード リンク
|