Actuarial Present Value - Life Insurance As A Function of The Life Annuity

Life Insurance As A Function of The Life Annuity

The APV of whole-life insurance can be derived from the APV a of whole-life annuity-due this way:

This is also commonly written as:

In the continuous case,

In the case where the annuity and life insurance are not whole life, one should replace the insurance with an n-year endowment insurance (which can be expressed as the sum of an n-year term insurance and an n-year pure endowment), and the annuity with an n-year annuity due.

Read more about this topic:  Actuarial Present Value

Famous quotes containing the words life, insurance and/or function:

    O life unlike to ours!
    Who fluctuate idly without term or scope,
    Of whom each strives, nor knows for what he strives,
    And each half lives a hundred different lives;
    Who wait like thee, but not, like thee, in hope.
    Matthew Arnold (1822–1888)

    Women hock their jewels and their husbands’ insurance policies to acquire an unaccustomed shade in hair or crêpe de chine. Why then is it that when anyone commits anything novel in the arts he should be always greeted by this same peevish howl of pain and surprise? One is led to suspect that the interest people show in these much talked of commodities, painting, music, and writing, cannot be very deep or very genuine when they so wince under an unexpected impact.
    John Dos Passos (1896–1970)

    Morality and its victim, the mother—what a terrible picture! Is there indeed anything more terrible, more criminal, than our glorified sacred function of motherhood?
    Emma Goldman (1869–1940)