Annuity Due Financial Calculator
| Period | Payment | Interest | Principal | Balance |
|---|
What is Annuity Due?
An annuity due is a series of equal payments made at the beginning of consecutive periods. Unlike ordinary annuities where payments occur at period ends, annuity due payments have immediate financial impact at each period start. This calculator helps financial professionals and individuals understand both present and future values of these payment streams.
Annuity Due Formulas
The core equations powering this calculator:
| Variable | Meaning | Unit | Range |
|---|---|---|---|
| PMT | Periodic payment | Currency | Positive values |
| n | Number of periods | Count | ≥1 |
| r | Rate per period | Percentage | 0% to 100% |
Practical Examples
Example 1: €2,000 quarterly payments for 3 years at 4% per quarter:
Present Value = €2,000 × [(1 – (1.04)-12) ÷ 0.04] × 1.04 = €21,482.36
Example 2: $1,500 monthly payments for 5 years at 6% annual rate (0.5% monthly):
Future Value = $1,500 × [((1.005)60 – 1) ÷ 0.005] × 1.005 = $108,774.22
Using the Calculator
- Enter payment amount (positive value)
- Specify total number of periods
- Input periodic interest rate
- Select currency symbol
- Review detailed payment schedule
Key Impact Factors
- Payment timing alignment with period starts
- Compounding frequency matching payment periods
- Accurate rate periodicity (annual vs monthly)
- Currency inflation considerations
- Tax implications on interest components
- Payment consistency across periods
FAQ
Q: How does annuity due differ from ordinary annuity?
A: Payments occur at period start instead of end, increasing both present and future values.
Q: Can I calculate monthly and annual periods?
A: Yes – ensure rate matches period (monthly rate for monthly payments).
Q: Why are my present and future values so different?
A: Time value of money creates significant differences over multiple periods.