What is the difference between an annuity-certain and a life annuity?

An annuity-certain pays for a fixed number of periods regardless of survival. A life annuity pays until death. Annuity-certain PV factors use only time-value discounting; life annuity factors additionally incorporate mortality survival probabilities from actuarial tables.

How does the annuity factor relate to mortgage payment calculation?

Monthly mortgage payment = loan amount / annuity factor (at monthly rate for number of months). A $400,000 mortgage at 6% annual (0.5% monthly) for 360 months uses annuity factor = [1 - (1.005)^-360] / 0.005 = 166.79, giving monthly payment of approximately $2,398.

Annuity Certain Present Value Factor

Calculate the present value annuity factor for a fixed number of periods at a constant interest rate: PV factor = [1 - (1+r)^-n] / r, used for pension, loan, and structured product valuation.

Principal ($)

Annual Rate (%)

Years

Compounding / Year

$ Finance Disclaimer: These calculators are for educational and illustrative purposes only. Results do not constitute financial advice. Consult a licensed financial advisor before making investment or borrowing decisions.

How to Use

Enter the values for the scenario you are assessing. Calculate the present value annuity factor for a fixed number of periods at a constant interest rate: PV factor = [1 - (1+r)^-n] / r, used for pension, loan, and structured product valuation. Use the annuity pv factor result to inform your calculation.

Related Calculators

Life Annuity Payment

Finance Long-tail

Pension PBO