Uncover the interest rate on your annuity with our user-friendly calculator. Whether it's an immediate or ordinary annuity, effortlessly determine the annual yield by entering the payment, total value (PV or FV), and number of periods. Simplify your financial planning and investment analysis with precise calculations. Ideal for understanding annuity returns.
Formula:
The interest rate (i) for an annuity is typically found using numerical methods as there's no direct algebraic solution. The core formulas for annuities are:
Ordinary Annuity (Payments at End of Period):
- Present Value (PV) = PMT × [ (1 - (1 + i)-n) / i ]
- Future Value (FV) = PMT × [ ((1 + i)n - 1) / i ]
Annuity Due (Payments at Beginning of Period):
- Present Value (PV) = PMT × [ (1 - (1 + i)-n) / i ] × (1 + i)
- Future Value (FV) = PMT × [ ((1 + i)n - 1) / i ] × (1 + i)
Where:
- PMT = Periodic Payment Amount
- n = Total Number of Periods
- i = Interest Rate per Period (which the calculator solves for)