How to Use an Annuity Table: Present and Future Value

To use an annuity table, you pick the table that matches your question (present value or future value, ordinary annuity or annuity due), find the factor where your interest rate per period meets your total number of periods, and multiply that factor by the payment amount. The result is either what the payment stream is worth today or what it will grow to by the end of the term.

The whole method rests on three inputs and one choice of table. Get those right and the arithmetic is a single multiplication.

Gather Your Three Inputs First

Before opening any table, pull three numbers from your loan agreement, settlement, or plan document:

Interest rate per period. If your document quotes an annual rate but payments are monthly, divide by 12. A 6% annual rate on a monthly annuity becomes 0.5% per period.
Total number of periods. Multiply years by payment frequency. A 10-year monthly annuity has 120 periods, not 10.
Payment amount (PMT). The fixed dollar amount paid each period, usually spelled out in the contract or court order.

The most common mistake is mismatching the time unit. If the rate is per month, the period count has to be in months too. Enter 10 where the table expects 120 and the answer will be off by an order of magnitude.

Pick the Right Table

Two choices decide which factor you look up.

Present Value or Future Value

A present value table tells you what a future stream of payments is worth in today’s dollars. This is the version used in legal settlements, pension buyouts, and estate tax valuations, where someone needs to know what an income stream would cost to replace right now.

A future value table tells you what a series of payments will accumulate to by the end of the term. Retirement planning is the standard use: how much will annual contributions be worth in 30 years.

Ordinary Annuity or Annuity Due

An ordinary annuity assumes each payment lands at the end of the period. Bond coupons and rent due at month-end fit this pattern. An annuity due assumes payments arrive at the beginning of the period, like a lease payment due on the first.

Because annuity-due payments arrive one period sooner, each earns one extra period of interest. The fix is to take the ordinary annuity factor and multiply it by (1 + i), where i is the rate per period. If the ordinary factor is 7.7217 at 5%, the annuity-due factor is 7.7217 × 1.05 = 8.1078. Skip this step and you understate what an annuity due is worth, with the gap widening as rates and terms grow.

Read the Table and Multiply

A standard annuity table is a grid: interest rates run across the top in small increments, period counts run down the left, and each cell holds a single factor carried to four or five decimal places. That factor captures the full effect of compounding across the payment stream, so once you find it, the rest is one multiplication.

Work an example. You want the present value of $1,000 per year for 10 years at a 5% annual discount rate.

Confirm inputs: PMT = $1,000, rate per period = 5%, periods = 10.
Open a present value of ordinary annuity table. Read across to the 5% column, down to the 10-period row. The factor is 7.7217.
Multiply: $1,000 × 7.7217 = $7,721.70. That is the lump sum which, invested at 5%, would exactly replicate the 10-year stream.

If you wanted the future value instead, you’d open the future value table. The factor at 5% and 10 periods is 12.5779, so $1,000 × 12.5779 = $12,577.90.

When Your Rate Falls Between Columns

Tables print factors at fixed rate increments, so your actual rate will sometimes land between two columns. If the table jumps from 5.0% to 5.5% but you need 5.2%, use linear interpolation: take the factor at 5.0%, then add the fraction of the way your rate sits between the two columns times the difference between the two factors. Here, 5.2% is 40% of the way from 5.0% to 5.5%, so the estimated factor is the 5.0% factor plus 40% of the gap up to the 5.5% factor.

Adjust for a Deferred Start

Not every annuity begins paying immediately. When the first payment is delayed, you calculate the present value as if payments started right away, then discount that result back to today for the deferral.

The mechanics: multiply the standard annuity factor by 1 ÷ (1 + i)^k, where k is the number of deferral periods. A 10-year ordinary annuity at 5% deferred by 3 years takes the factor of 7.7217 and multiplies by 1 ÷ (1.05)^3 = 0.8638. The adjusted factor is 6.6706, giving a present value of $6,670.60 on a $1,000 payment. Ignore the deferral and you overstate the value, because the math treats the payments as arriving sooner than they will.

Life Annuities Use a Different Table

Everything above assumes a term-certain annuity: a fixed number of payments, made regardless of whether anyone is alive to collect. The IRS collects term-certain factors in Table B of Publication 1457 (Version 4A).¹

Life annuities work differently, because payments continue only while a specific person is alive. The factor has to account for mortality, so instead of looking up a period count, you look up the annuitant’s age at the nearest birthday against the applicable Section 7520 rate. The IRS uses Table S, built on the 2010CM mortality data, for single-life factors, and Table R(2) for two-life arrangements such as joint-and-survivor annuities. Tables K and J handle timing adjustments for end-of-period and beginning-of-period payments.¹ Age has an outsized effect: a life annuity valued for a 40-year-old carries a much larger factor than the same annuity valued for a 75-year-old.

For federal estate tax, gift tax, and charitable-deduction valuations, you don’t choose the interest rate. The IRS sets a monthly rate under Section 7520 of the Internal Revenue Code, equal to 120% of the federal midterm rate rounded to the nearest two-tenths of one percent.² For early 2026, the rate ran from 4.6% in January and February to 4.8% in March.³ A shift of two-tenths of a percent can move the present value of a long-term annuity by thousands of dollars. For charitable transfers, the taxpayer can elect the 7520 rate from either of the two months preceding the valuation date, and if more than one interest in the same property is being valued, the same rate applies to all of them.

When a Standard Table Doesn’t Apply

Annuity tables assume predictable payments at a fixed rate over a known timeframe. Several situations break those assumptions and require something other than a look-up.

Under 26 CFR § 20.2031-7, the IRS requires Section 7520 factors for valuing annuities, life estates, and remainder interests in estates, but the same regulation points to exceptions in § 20.7520-3(b) that limit table use in certain circumstances.⁴ Chapter 14 of Title 26 overrides table valuations in specific family-transfer situations: non-qualified retained trust interests are treated as worth zero rather than whatever the table would give; below-market purchase options between family members are disregarded unless they meet a three-part test (bona fide business arrangement, not a device to transfer value at a discount, and comparable to arm’s-length terms); and lapsing liquidation restrictions in family-controlled entities are ignored for valuation.⁵

Standard tables also lose reliability when the annuitant is terminally ill, since the mortality assumptions no longer hold, or when payments depend on events other than survival or the passage of time. A custom actuarial calculation typically replaces the published factor in those situations.

Where to Find Current Tables

The IRS publishes the current actuarial tables, effective for valuation dates on or after June 1, 2023, on its Actuarial Tables page, with downloadable spreadsheets for Table S, Table B, Table R(2), and the adjustment tables.¹ Publication 1457 (Version 4A) collects the annuity, life estate, and remainder factors along with worked examples.⁶ The published tables cover Section 7520 rates from 0.2% to 20% at two-tenths-of-a-percent intervals.⁴

For retirement planning or loan analysis, most finance textbooks print present and future value annuity tables in their appendices. Spreadsheet functions like PV and FV in Excel use the same underlying formulas, and cross-checking a table factor against a spreadsheet is worth doing whenever accuracy matters for a legal filing or an insurance claim.

1
Internal Revenue Service. Actuarial Tables
2
Office of the Law Revision Counsel. 26 USC 7520 – Valuation Tables
3
Internal Revenue Service. Section 7520 Interest Rates
4
eCFR. 26 CFR 20.2031-7 – Valuation of Annuities, Interests for Life or Term of Years, and Remainder or Reversionary Interests
5
Office of the Law Revision Counsel. 26 USC Chapter 14 – Special Valuation Rules
6
Internal Revenue Service. Publication 1457 – Actuarial Valuations Version 4A