Annuity Present Value Calculator

Discount an ordinary annuity to today's value and quantify the effect of the discount rate.

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Annuity Present Value Calculator

Enter the payment, rate, term and payment frequency.

Present value
β€”
Enter values above
Total payments received
β€”
Interest component
β€”
PV per $1 of payment
β€”
Effective annual rate
β€”
Value at end of term
β€”

Worked example

With the default inputs shown below, this calculator returns the following results:

InputValue
Payment per period ($)1000
Annual interest rate (%)5
Number of years20
Payments per year12
ResultValue
Present value$151,525
Total payments received$240,000
Interest component$88,475
PV per $1 of payment$151.53
Effective annual rate5.12%
Value at end of term$411,034

Values shown are produced by this page in your browser; change any input to update them.

How to use the Annuity Present Value Calculator

  1. Payment per period ($) β€” default 1000
  2. Annual interest rate (%) β€” default 5
  3. Number of years β€” default 20
  4. Payments per year β€” default 12
  5. Press Calculate to update the results instantly.

Frequently asked questions

One where payments arrive at the end of each period β€” the standard assumption. If payments arrive at the start of the period (an annuity due), the present value is higher by one period of interest, about 1 + r times the figure shown.
Because money received later is worth less today. The gap between total payments and present value is the interest you forgo by spreading the cash flow out.
The return you could realistically earn on a comparable-risk investment. Government bond yields are often used as the floor and corporate bond yields for credit-risky cash flows.

Sources & references