Skip to main content

Annuity Due Calculator

Quick answer

PV(due) = PV(ordinary) × (1+r): 1,500 monthly for 5 years at 6% is worth 77,976 paid at period start, 77,588 at end.

  • Everything runs locally in your browser.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How the Annuity Due Calculator Calculates Results

PV(due) = PMT × (1 − (1+r)^−n) ÷ r × (1 + r)

An annuity due pays at the beginning of each period instead of the end. Because every payment compounds one period longer, its present and future values both exceed the ordinary annuity's. At its core the tool evaluates PV(due) = PMT × (1 − (1+r)^−n) ÷ r × (1 + r). A 1,500 monthly payment for 5 years at 6% (r = 0.005, n = 60) values at 77,588 as an ordinary annuity but 77,588 × 1.005 = 77,976 as an annuity due — rent contracts and leases price this difference. Adjust any field and the outputs recompute immediately, so you can test as many scenarios as you like in the units you prefer.

  1. 1

    Step 1

    Gather the numbers the Annuity Due Calculator needs and type them in.

  2. 2

    Step 2

    The engine evaluates PV(due) = PMT × (1 − (1+r)^−n) ÷ r × (1 + r) instantly as you type.

  3. 3

    Step 3

    Check the output and its unit before using it.

  4. 4

    Step 4

    Repeat with different inputs to test alternatives.

Use Cases

Lease valuation

Pricing prepaid rental streams

Pension comparison

Start-of-month versus end-of-month payouts

Insurance premium analysis

Comparing annual-prepaid versus monthly premiums

Settlement structuring

Designing lawsuit or lottery schedules

Common Mistakes

  • Applying the ordinary formula

  • Period mismatch

  • Double-adjusting

FAQs

Why is annuity due worth more?

Each payment arrives one period earlier and earns one more period of interest: exactly +0.5% here per payment (×1.005).

Which real payments are annuity due?

Rent and lease installments (pay before use), insurance premiums and many pension payouts — ordinary annuities pay in arrears.

What is the math behind the Annuity Due Calculator?

The Annuity Due Calculator applies PV(due) = PMT × (1 − (1+r)^−n) ÷ r × (1 + r), where payments at period start earn one extra period of interest.

Can I compare different scenarios?

Yes — change any input and the Annuity Due Calculator recalculates on the spot, so comparing two scenarios takes seconds.