An annuity in advance is a synonym for an annuity due — a series of equal, periodic payments made at the beginning of each payment period rather than at the end. The terms are used interchangeably across accounting, finance, and actuarial practice. In contrast to an ordinary annuity, where payments arrive at the conclusion of each period, an annuity in advance delivers each payment at the start, meaning every payment has one additional compounding period available to grow or be invested before the next payment arrives.
The most common real-world examples are rent (paid at the beginning of the month for the month's occupancy), insurance premiums (paid at the start of a coverage period), and lease agreements (structured to require payment before use begins).
The financial difference between payment in advance and payment in arrears is the time value of money. Money received sooner has more time to earn returns. A series of 12 monthly payments of $800 due at the beginning of each month (annuity in advance) has a higher present value than the same 12 payments due at the end of each month (ordinary annuity), because each payment in the advance structure arrives one month earlier.
At a 4% annual discount rate, 12 monthly office rent payments of $800 made at the start of each month have a present value of approximately $9,457. The same payments made at the end of each month have a present value of approximately $9,425. The $32 difference reflects the additional month of discounting that end-of-period payments undergo on the first payment, cascading through all subsequent periods.
To compute the present value of an annuity in advance when the present value of the equivalent ordinary annuity is known: PV(due) = PV(ordinary) × (1 + r), where r is the period interest rate. To compute future value: FV(due) = FV(ordinary) × (1 + r). In spreadsheet software, setting the type argument to 1 in PV or FV functions activates beginning-of-period mode. In financial calculators, the BGN setting accomplishes the same result.
| Annuity in Advance (Annuity Due) | Annuity in Arrears (Ordinary Annuity) | |
|---|---|---|
| Payment timing | Start of each period | End of each period |
| Covers period | Period about to begin | Period just completed |
| Common examples | Rent, insurance premiums, leases | Mortgages, bonds, employee salaries |
| Present value vs. ordinary | Higher by factor of (1+r) | Lower baseline |
| Benefit to recipient | Receives funds sooner | Receives funds later |
Under accounting standards such as ASC 842 (US GAAP) and IFRS 16, lease classification and measurement depends in part on whether lease payments are structured in advance or in arrears. When a lessee makes payments at the beginning of each period (annuity in advance), the right-of-use asset and lease liability calculations reflect this timing by adjusting the present value formula accordingly. The distinction matters because it affects the opening balance of the lease liability and the interest expense recognized in subsequent periods.