An annuity due is a series of equal payments made at the beginning of each regular period, rather than at the end. That single timing detail changes how the payments grow or get discounted. With an ordinary annuity, the first payment waits a full period before earning interest; with an annuity due, every payment goes to work immediately, including the very first one. This head start means an annuity due always accumulates to a slightly larger future value and present value than an identical ordinary annuity.
You meet annuities due constantly in everyday life: monthly rent paid on the first, insurance premiums paid up front, and lease payments collected at the start of each term are all classic examples. Because the math differs from the ordinary annuity, it is easy to underestimate your savings or misprice a loan. The Annuity Due Calculator on this page handles both future value and present value calculations so you can model any beginning-of-period payment stream accurately.
What Is an Annuity Due?
An annuity due is any fixed schedule of equal payments where each payment is due at the start of the period it covers. Think of paying January’s rent on January 1st: the payment precedes the month it pays for. Contrast this with a typical mortgage or bond coupon, where you pay at the end of the period for the time that just passed. Both are annuities, but the timing convention flips, and so does the math.
The practical consequence is straightforward. Because each payment in an annuity due is invested one period earlier than the same payment in an ordinary annuity, it earns one extra period of compounding. Over many periods and at higher interest rates, that extra compounding adds up to a meaningful difference. In short: the value of an annuity due equals the value of the matching ordinary annuity multiplied by (1 + r), where r is the interest rate per period.
The Annuity Due Formulas
Two formulas cover nearly every annuity due question you will encounter: future value, which tells you what a stream of payments will grow to, and present value, which tells you what a stream of payments is worth in today’s dollars. Both start from the ordinary annuity formula and multiply by (1 + r) to shift every payment one period earlier.
Future Value of an Annuity Due
The future value formula is FV = PMT × [((1 + r)^n − 1) / r] × (1 + r). Here PMT is the payment amount each period, r is the interest rate per period expressed as a decimal, and n is the total number of payments. The bracketed portion computes the future value of an ordinary annuity; multiplying by (1 + r) converts it into an annuity due by giving every payment one extra period of interest.
Present Value of an Annuity Due
The present value formula is PV = PMT × [(1 − (1 + r)^−n) / r] × (1 + r). The bracketed portion is the present value of an ordinary annuity, and the final (1 + r) multiplier again shifts the timing to the beginning of each period. Use this version when you want to know what a stream of beginning-of-period payments is worth today, such as valuing a lease or judging a lump-sum buyout offer.
Worked Example: Future Value
Suppose you deposit $500 at the beginning of every month into an account earning 6 percent annual interest, compounded monthly, for 5 years. The monthly rate is 0.06 / 12 = 0.005, and the number of payments is 5 × 12 = 60. Follow these steps with the future value formula:
- Compute the growth factor: (1.005)^60 ≈ 1.3489.
- Subtract 1: 1.3489 − 1 = 0.3489.
- Divide by the periodic rate: 0.3489 / 0.005 = 69.77.
- Multiply by the payment: $500 × 69.77 = $34,885.02, the ordinary annuity value.
- Multiply by (1 + r): $34,885.02 × 1.005 = $35,059.45, the annuity due value.
Simply depositing at the start of each month instead of the end leaves you about $174 ahead after five years, and the gap widens with larger payments, longer horizons, and higher rates.
Worked Example: Present Value
Now imagine a landlord offers you a deal: pay $1,200 at the beginning of each month for the next 3 years, and asks for a single payment today instead. If money earns 4 percent annually compounded monthly, what lump sum is fair? The monthly rate is 0.04 / 12 ≈ 0.003333, and there are 36 payments. The ordinary annuity present value factor is [1 − (1.003333)^−36] / 0.003333 ≈ 33.87, giving $1,200 × 33.87 = $40,644. Multiplying by (1 + 0.003333) gives $40,779.47 as the annuity due present value.
The first payment is due immediately, so it is never discounted; every later payment is discounted one fewer period than it would be under an ordinary annuity. That is why the annuity due is worth more. If the landlord offers any discount larger than the gap between this value and the ordinary annuity value, the lump sum is the better deal.
Annuity Due vs. Ordinary Annuity
These two cousins differ only in timing, but that timing drives different formulas, different values, and different real-world uses. Mixing them up is one of the most common mistakes in time-value-of-money problems, so it pays to keep the distinction crisp.
- Payment timing: annuity due payments occur at the beginning of each period; ordinary annuity payments occur at the end.
- Value relationship: an annuity due is always worth (1 + r) times the equivalent ordinary annuity, for both future and present value.
- First payment: in an annuity due the first payment is made immediately and earns interest from day one; in an ordinary annuity the first payment is deferred a full period.
- Typical examples: rent, insurance premiums, and leases are annuities due; mortgages, bond coupons, and most loan repayments are ordinary annuities.
- Formula difference: take any ordinary annuity formula and multiply by (1 + r) to get the annuity due version.
When a problem says payments are made “at the beginning of each month” or “in advance,” you are dealing with an annuity due. When it says “at the end of each year” or says nothing about timing at all, the ordinary annuity is usually the correct assumption.
When to Use an Annuity Due
Use the annuity due framing whenever cash flows happen up front. Landlords, insurers, and leasing companies all collect at the start of the period, so their contracts are priced as annuities due. On the savings side, anyone who contributes at the start of each period, like an investor who deposits on the first of the month, should use the annuity due future value to forecast correctly.
- Renting property: monthly rent paid on the first models the landlord’s true cash flow.
- Insurance premiums: premiums paid in advance for the coming coverage period.
- Equipment and car leases: lease payments are typically due at signing and at each period start.
- Early-month savers: retirement contributions deposited at the beginning of each month grow as an annuity due.
- Subscription and service retainers: fees collected before the service period begins.
- Dividend timing models: some income-stock models assume distributions at period starts.
If you are on the paying side, recognizing an annuity due helps you negotiate: because the recipient gets money earlier, a contract structured as an annuity due is worth more to them, which can justify asking for a discount when you prepay.
How Payment Frequency Affects the Result
The formulas work for any consistent frequency, monthly, quarterly, or annually, as long as the rate and the number of periods match the payment schedule. Convert the annual rate by dividing by the number of payments per year, and multiply the years by the same number to get n. More frequent payments mean each payment compounds slightly sooner, which nudges the annuity due advantage higher.
Watch out for mismatched compounding and payment periods. If you pay monthly but interest compounds quarterly, the textbook formulas need an equivalent periodic rate, which the calculator above handles automatically. As a rule of thumb, never plug an annual rate directly into a monthly payment problem; always convert first, or your result will be wildly off.
Taxes and Fees to Consider
Annuities sold by insurance companies, which often pay out as annuities due, come with tax rules worth understanding before you sign. In many tax systems, money you contribute has already been taxed, the earnings grow tax-deferred, and withdrawals are taxed as ordinary income, with penalties if you withdraw before a qualifying age. Qualified retirement annuities may reverse parts of that treatment, so the exact rules depend on the account type and your jurisdiction.
Fees can quietly erode the timing advantage of an annuity due. Surrender charges penalize early withdrawals, mortality and expense fees skim a percentage each year, and riders for guaranteed income add cost. Always compare the contract’s effective return, net of all fees, against a plain investment account before concluding the annuity is the better home for your money.
Advantages and Disadvantages
An annuity due is not inherently better or worse than an ordinary annuity; it is simply the correct model for beginning-of-period cash flows, with trade-offs depending on which side of the payments you are on.
- Pro: higher accumulated value than an ordinary annuity at the same rate and payment.
- Pro: matches real-world contracts like rent and insurance that require payment up front.
- Pro: earlier payments reduce reinvestment risk for the recipient.
- Con: paying at the start means you lose access to that cash sooner.
- Con: the math is slightly more complex and easy to confuse with ordinary annuities.
- Con: insurance-wrapped annuities often carry fees and surrender charges that eat into returns.
Tips for Getting More from an Annuity Due
Small behavioral tweaks can make the annuity due timing work harder for you, especially on the savings side where every extra day of compounding counts.
- Pay or deposit early in the period: the whole advantage comes from timing, so do not let beginning-of-period payments slip to mid-month.
- Automate contributions: scheduled transfers on the first of the month lock in the annuity due pattern without relying on memory.
- Negotiate prepayment discounts: when a contract demands payment up front, ask for a reduction that reflects the time value you are giving up.
- Reinvest distributions: if an annuity pays you at period starts, reinvesting promptly preserves the compounding edge.
- Compare net returns: evaluate annuities after fees and taxes, not on headline rates, before choosing between annuity products and plain investments.
Frequently Asked Questions
What is the difference between an annuity due and an ordinary annuity?
An annuity due has payments at the beginning of each period, while an ordinary annuity has payments at the end. An annuity due is worth (1 + r) times more than an otherwise identical ordinary annuity because every payment compounds for one extra period.
How do I calculate the future value of an annuity due?
Use FV = PMT × [((1 + r)^n − 1) / r] × (1 + r), where PMT is the periodic payment, r is the rate per period, and n is the number of payments. The calculator above runs this formula instantly for any payment frequency.
How do I calculate the present value of an annuity due?
Use PV = PMT × [(1 − (1 + r)^−n) / r] × (1 + r). This tells you what a stream of beginning-of-period payments is worth today, which is useful for valuing leases or comparing a lump sum against installments.
Why is an annuity due worth more than an ordinary annuity?
Every payment in an annuity due is invested one period earlier, so each earns one extra period of interest. That additional compounding, applied to every payment, makes the total larger by exactly the factor (1 + r).
What are common real-life examples of an annuity due?
Monthly rent paid on the first, insurance premiums paid in advance, car and equipment lease payments, and retirement contributions deposited at the start of each month are all annuities due.
Can an annuity due be used for retirement savings?
Yes. If you contribute at the beginning of each month or year, your savings grow as an annuity due. Contributing early each period rather than late can add a meaningful amount over a decades-long retirement horizon.
What happens if I miss a payment in an annuity due?
A missed payment loses its full compounding run, which hurts more than missing an ordinary annuity payment because the missed payment would have earned the extra period of interest. Catch up as soon as possible to limit the damage.
How does the interest rate affect an annuity due?
Higher rates magnify the annuity due advantage because the (1 + r) multiplier grows with r. At very low rates the difference between an annuity due and an ordinary annuity is small; at high rates it becomes substantial.
Does payment frequency change annuity due results?
Yes. More frequent payments compound sooner, which increases both the future and present values. Always match the periodic rate to the payment schedule by dividing the annual rate by payments per year.
Are annuity due payments taxable?
It depends on the annuity type and your jurisdiction. Generally, earnings grow tax-deferred and withdrawals are taxed as ordinary income, sometimes with early-withdrawal penalties. Qualified retirement annuities follow different rules, so check local tax law.
What is the formula for an annuity due with monthly payments?
Use the standard formula with r = annual rate / 12 and n = years × 12. For example, 6 percent annual over 5 years means r = 0.005 and n = 60 in FV = PMT × [((1 + r)^n − 1) / r] × (1 + r).
Can I convert an ordinary annuity into an annuity due?
Yes, simply multiply the ordinary annuity value by (1 + r). This works for both future value and present value, and it is the fastest way to switch between the two timing conventions.
Is an annuity due better than a lump-sum investment?
Not automatically. Compare the annuity due’s present value at your expected return against the lump sum. If the lump sum is larger, investing it yourself wins; if the annuity’s present value is larger, the payment stream is the better deal.
What fees should I watch for in an annuity contract?
Watch for surrender charges on early withdrawals, annual mortality and expense fees, administrative fees, and rider costs for guarantees. These can erase the timing advantage, so always compare returns net of fees.
When should I choose an annuity due over an ordinary annuity?
Choose the annuity due model whenever payments actually occur at the start of each period, such as rent or insurance. You do not pick one arbitrarily; the contract’s payment timing decides which formula is correct.
In short, an annuity due is the right tool whenever money moves at the beginning of each period. Its formulas are simple extensions of the ordinary annuity, its real-world examples are everywhere from rent to insurance, and its extra period of compounding rewards anyone who pays or saves early. Use the calculator above to run your own numbers, and you will always know exactly what those beginning-of-period payments are worth.