Endowment Insurance EPV Calculator

Calculate the expected present value of an endowment insurance paying on death during the term or on survival to maturity.

Description

Calculate the expected present value of a simplified endowment insurance paying on death during the term or on survival to maturity.

Endowment Insurance EPV helps you calculate the expected present value of a simplified endowment insurance paying on death during the term or on survival to maturity.

This tool combines term-insurance protection and a pure-endowment survival benefit in one transparent calculation. It is useful for learning, reconciliation, and preliminary sensitivity analysis under level annual assumptions.

When to use Endowment Insurance EPV

This tool combines term-insurance protection and a pure-endowment survival benefit in one transparent calculation. It is useful for learning, reconciliation, and preliminary sensitivity analysis under level annual assumptions.1

How the calculation works

The death component sums discounted end-of-year benefits over the term. The survival component pays the same benefit at maturity if the insured survives every year. Since the events are mutually exclusive, their expected present values are added.

EPV = B × {vq[1 − (vp)^n]/[1 − vp] + (vp)^n} 1

Inputs and interpretation

Enter a constant annual death probability q, annual effective interest i, term n, and benefit B. The calculation sets p = 1 − q and v = 1 / (1 + i).

Assumptions and limitations

The model omits expenses, premiums, surrender, profit participation, changing mortality, and subannual timing. It assumes the death and maturity benefits are equal and paid at policy-year boundaries.

References

  1. Supplementary Notes for Actuarial Mathematics for Life Contingent Risks — Society of Actuaries

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