What Is an Annuity Calculator?
An annuity calculator is a financial tool that computes the value of a series of equal payments made at regular intervals over a specified period. Annuities are fundamental to personal finance, appearing in retirement planning, loan amortization, insurance products, and structured investments. Our free annuity calculator lets you solve for any of the five key variables — future value, present value, periodic payment, interest rate, or number of periods — with support for both ordinary annuities and annuities due.
Whether you are evaluating a pension payout, planning systematic investment contributions, calculating loan payments, or comparing annuity products from insurance companies, this calculator provides the precise figures you need to make informed financial decisions.
How to Use This Annuity Calculator
- 1
Select a Calculation Mode
Choose one of five tabs: Future Value, Present Value, Payment, Interest Rate, or Periods. Each mode solves for a different unknown variable while using the others as inputs.
- 2
Enter Your Annuity Parameters
Fill in the periodic payment amount, annual interest rate, number of periods, or present/future value depending on your selected mode. Set the payment frequency (monthly, quarterly, semiannually, or annually) and choose between an ordinary annuity or annuity due.
- 3
Click Calculate
Press the Calculate button to see your results. The calculator displays the solved value, total payments, total interest, and a visual breakdown with pie and bar charts.
- 4
Review the Payment Schedule
Scroll down to see a detailed period-by-period table showing beginning balance, payment, interest earned, and ending balance for each period of the annuity.
Ordinary Annuity vs. Annuity Due
Ordinary Annuity
Payments are made at the end of each period. This is the most common type, used for mortgage payments, bond coupon payments, and most loan repayments. The future value is lower compared to an annuity due because each payment has less time to earn interest.
Annuity Due
Payments are made at the beginning of each period. Common examples include rent payments, insurance premiums, and lease payments. The future value is higher because each payment earns interest for one additional period.
Annuity Formulas
Future Value of an Ordinary Annuity
Where PMT is the periodic payment, r is the interest rate per period, and n is the total number of periods. For an annuity due, multiply the result by (1 + r).
Present Value of an Ordinary Annuity
This formula calculates the lump sum value today of a series of future payments. It is widely used to determine the fair price of bonds, the value of pension payouts, and loan principal amounts.
Payment Amount (PMT)
Solving for the payment tells you how much you need to pay each period to fully amortize a loan or reach a savings target. This is the formula behind every mortgage payment and car loan calculation.
Common Applications of Annuity Calculations
Mortgage Payments
Calculate monthly mortgage payments based on loan amount, interest rate, and term length. Understand how much of each payment goes toward principal vs. interest.
Retirement Planning
Determine how much to save each month to reach your retirement goal, or calculate how much income a lump sum can generate through periodic withdrawals.
Insurance Annuities
Evaluate annuity products from insurance companies. Compare the present value of guaranteed payouts against the premium to determine if the product offers fair value.
Lease Payments
Calculate lease payments for equipment or real estate. Leases typically use annuity due calculations since payments are made at the beginning of each period.
Bond Valuation
The present value of a bond's coupon payments is an annuity calculation. Combined with the present value of the face value, this determines the fair price of a bond.
Student Loans
Determine monthly student loan payments, total interest paid over the life of the loan, and how extra payments can reduce the total cost of borrowing.
Key Annuity Variables
Periodic Payment (PMT)
The fixed amount paid or received at each interval. In a savings annuity, this is your regular deposit. In a loan, this is your periodic repayment. The payment amount remains constant throughout the annuity term in a fixed annuity.
Interest Rate (r)
The annual interest rate applied to the annuity. This rate is divided by the number of periods per year to get the per-period rate. For example, a 6% annual rate with monthly payments uses 0.5% per period (6% ÷ 12).
Number of Periods (n)
The total number of payment periods. For monthly payments over 10 years, this would be 120 periods. For quarterly payments over 5 years, this would be 20 periods. The number of periods directly affects both the future value and present value of the annuity.
Present Value (PV) & Future Value (FV)
Present value is the current worth of the annuity — the lump sum equivalent today. Future value is the total accumulated amount at the end of all periods, including all payments and compounded interest. These two values are related through the time value of money.