Immediate Annuity (Annuity Due) Formula:
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An immediate annuity (annuity due) is a financial product that provides guaranteed periodic payments starting immediately. The present value calculation helps determine how much a series of future payments is worth today.
The calculator uses the immediate annuity (annuity due) formula:
Where:
Explanation: The formula accounts for the time value of money, calculating what a stream of future payments is worth in today's dollars.
Details: Accurate annuity valuation is crucial for retirement planning, insurance products, and financial decision-making. It helps compare different payment options.
Tips: Enter payment amount in currency units, interest rate as decimal (e.g., 0.05 for 5%), and number of periods. All values must be positive.
Q1: What's the difference between ordinary annuity and annuity due?
A: Annuity due payments occur at the beginning of each period, while ordinary annuity payments occur at the end. Annuity due has higher present value.
Q2: How does interest rate affect annuity value?
A: Higher interest rates decrease present value (future payments are discounted more heavily).
Q3: What are typical uses for immediate annuities?
A: Retirement income, lottery payouts, structured settlements, and pension benefits.
Q4: Can this calculator handle varying payment amounts?
A: No, this assumes constant payments. For variable payments, a different approach is needed.
Q5: How does compounding frequency affect the calculation?
A: The rate (r) and periods (n) must match the compounding frequency (annual, monthly, etc.).