What it means
An annuity is simply a fixed payment repeated at regular intervals. The only thing that distinguishes an annuity due from an ordinary annuity is timing: payments fall due at the start of each period rather than the end.
That timing difference has real value because money available sooner can be invested or used sooner. Every payment in an annuity due sits one full period closer to the present, which raises the present value of the whole stream by exactly one period's interest.
The pattern appears more often than people expect. Rent is normally paid in advance, most insurance premiums are collected before cover begins, many equipment leases require the first payment on signing, and subscription software is almost always billed up front.
The practical rule is a shortcut worth memorising. Value the stream as an ordinary annuity first, then multiply by one plus the periodic interest rate, and the same adjustment works for both present value and future value.
The distinction matters commercially when comparing offers. A leasing company quoting payments in advance and a competitor quoting the same nominal payment in arrears are not offering the same deal, and over a multi-year contract the difference can be several thousand dollars.
In practice
Real-world examples.
Example
A landlord grants a three-year commercial lease at $4,000 per month payable in advance. When the property is valued, the surveyor treats the rental stream as an annuity due, producing a slightly higher present value than monthly payments in arrears would.
Example
A finance manager compares two vehicle leases with identical $850 monthly payments over four years, one billed in advance and one in arrears. Discounting both at 7% shows the advance-payment lease costs roughly $200 more in present value terms.
Example
A retiree buys an immediate annuity that pays $2,400 at the start of every month for life. Because payments begin straight away rather than after the first month, the insurer prices the contract slightly higher than a comparable annuity in arrears.
Formula
Calculation
PV of annuity due = PMT x [(1 - (1 + r) ^ -n) / r] x (1 + r)
Here PMT is the payment per period, r is the interest rate per period, and n is the number of payments.
A business signs a five-year equipment lease requiring $12,000 at the start of each year, with a discount rate of 6% per year.
First calculate the ordinary annuity factor. (1 + 0.06) ^ 5 = 1.3382256, so (1 + 0.06) ^ -5 = 0.7472582, and 1 - 0.7472582 = 0.2527418. Dividing by 0.06 gives an annuity factor of 4.2123638.
PV as an ordinary annuity = $12,000 x 4.2123638 = $50,548.37
PV as an annuity due = $50,548.37 x 1.06 = $53,581.27
The annuity due is worth $53,581.27 - $50,548.37 = $3,032.90 more, which is exactly 6% of $50,548.37. That premium is the value of receiving every payment twelve months earlier.Case study
Seen in the real world.
This is an illustrative case study and the companies named are fictional. Fenwick Dental Group, an invented chain of clinics, was choosing between two suppliers for $600,000 of imaging equipment across its six sites.
Both quotes offered five annual payments of $140,000. The first supplier required payment at the start of each year, making it an annuity due, while the second took payment at the end of each year, an ordinary annuity. On paper both totalled $700,000 and the practice manager treated them as identical.
The finance director discounted both streams at the group's 8% cost of capital. The ordinary annuity had a present value of about $558,900, while the annuity due came to roughly $603,700, a difference of about $44,700. In this illustrative example the group chose the payments-in-arrears supplier and used the timing argument to negotiate a further discount from the other bidder.
Watch out
Common mistakes.
- Using the ordinary annuity formula for payments made in advance. Omitting the final multiplication by one plus the rate understates the value of the stream by a full period's interest.
- Assuming two leases with the same total payments cost the same. Timing changes present value, and payments in advance are always more expensive to the payer in real terms.
- Applying an annual interest rate to monthly payments. The rate must be converted to the payment period, so an 8% annual rate becomes roughly 0.6667% per month before the calculation.
Questions
People also ask.
Is an annuity due always more valuable than an ordinary annuity?
To the recipient yes, and correspondingly more costly to the payer, with the difference being exactly one period's interest on the ordinary annuity value.
Which real-world payments are annuities due?
Rent, insurance premiums, most lease agreements, subscription fees and immediate retirement annuities are all typically paid at the start of the period.
How do I calculate this in a spreadsheet?
Use the standard present value function and set the payment-type argument to 1 instead of 0, which tells the spreadsheet that payments occur at the beginning of each period.
From the founder's library
Take it further with the book.
Build your financial confidence beyond this definition. Shihan's full-length guide, Accounting Fundamentals, takes the same plain-English approach and turns it into a complete, practical playbook for non-finance managers, business owners and students - with chapter-end quiz answers and presentation slides included.
25% off with code MMHQ25, applied at checkout. Priced in USD - checkout may show the equivalent in your local currency.
View the book and save 25%Related