calcy treasure chest of featuresLove the calculators but not the ads?

Take a sneak peek at the Ad-Free Design being enjoyed by hundreds of members for less than 25¢ a week. Full details and a bonus!

Present Value Annuity Calculator to Calculate PV of Future Sum or Payment

Calculator Preferences
Present Value Annuity Calculator Sign
Present Value Annuity Calculator

This calculator will calculate the present value of an annuity starting either with a future lump sum (loan) or with a future payment amount (retirement annuity), and for either an ordinary annuity or for an annuity due. Includes a year-to-year chart showing how the future sum will decline to zero. The Learn tab includes:

  • What is Present Value of An Annuity?
  • Being on the right side of compounding interest equation.
Learn More

Selected Data Record:

A Data Record is a set of calculator entries that are stored in your web browser's Local Storage. If a Data Record is currently selected in the "Data" tab, this line will list the name you gave to that data record. If no data record is selected, or you have no entries stored for this calculator, the line will display "None".

DataData recordData recordSelected data record: None
Type:Annuity type:Type of annuity:Type of annuity:

Type of annuity:

Select the type of annuity. An Annuity Due indicates payments are received or made at the beginning of each period, whereas an Ordinary Annuity indicates payments are received or made at the end of each period.

Future lump sum or payment amount:

Choose whether you would like to calculate the present value of an annuity starting with a future lump sum or starting with future payment amount, then enter the corresponding future value. Lump sum present value annuity calculations are typically used for calculating loan payments, whereas present value of future payments are typically used for calculating retirement savings needed to generate the desired retirement income.

Frequency:Frequency:Payment/withdrawal frequency:Payment/withdrawal frequency:

Payment/withdrawal frequency:

Select the payment/deposit frequency you want the calculator to use for the present value calculations.

# of years:Number of years:Number of years to calculate PV for:Number of years to calculate present value for:

Number of years to calculate present value for:

Enter the number of years you would to calculate present value for.

Disc rate:Discount rate:Present value discount rate:Present value discount rate:

Present value discount rate:

Enter the annual present value discount rate to be used for the present value calculations. Please enter as a percentage, but without the percent sign (for .06 or 6%, enter 6). Note that the calculator will convert the annual discount rate to the rate that corresponds to the payment frequency. For example, if you selected a monthly payment frequency, the calculator will divide the annual rate by 12.

PV:Present value:Present value of annuity:Present value of annuity:

Present value of annuity:

Based on your entries, this is the present value of the annuity you entered information for. If you chose to enter a future lump sum, this result represents the periodic payment amount needed to pay off the loan within the specified time period. Or, if you chose to enter a future payment amount, this result represents the amount you would need to deposit now in order to be able to withdraw the payment during each period interval over the course of the entered number of years.

Total:Total pmts/draws:Total payments/withdrawals:Total of annuity payments/withdrawals:

Total of annuity payments/withdrawals:

Based on your entries, this is the total of all payments received (annuity) or made (loan) -- depending on whether you chose to calculate present value starting with a future lump sum, or starting with a future payment amount.

Interest:Interest:Interest earned/paid on annuity:Interest earned/paid on annuity:

Interest earned/paid on annuity:

Based on your entries, this is how much compound interest will be earned or paid on the annuity or loan.

If you would like to save the current entries to the secure database, tap or click on the Data tab, select "New Data Record", give the data record a name, then tap or click the Save button. To save changes to previously saved entries, simply tap the Save button. Please select and "Clear" any data records you no longer need.

Feedback AppreciatedFeedback Greatly AppreciatedYour Feedback Would Be Greatly AppreciatedYour Feedback Is Greatly Appreciated
Heading

Tip

About

About the Present Value Annuity Calculator

This calculator will calculate the present value of an annuity starting with either a future lump sum, or with a future payment amount.

Plus, the calculator will calculate present value for either an ordinary annuity, or an annuity due, and display a year-by-year chart so you can see the how the balance will decline to zero over the course of the entered number of years.

If you are not sure what present value is, or you wish to calculate present value for a lump sum only, please visit the Present Value of Lump Sum Calculator.

Or, if you would like to calculate the future value of an annuity, please visit the Future Value Annuity Calculator -- which also includes answers to What is Annuity? and Annuity Due Vs. Ordinary Annuity? in case you're not familiar with the terms used in this calculator.

Discover the benefits of subscribing to the Ad-Free Member Version of my website.
Learn how I went from being trapped in a work I hated to being free to work at what I love.

Instructions

How to use the Present Value Annuity Calculator

Step #1:

Select the annuity type.

Step #2:

Choose whether you want to enter a future lump sum or a payment amount, and enter the corresponding amount.

Step #3:

Select the frequency of the payment or withdrawal.

Step #4:

Enter the number of years to calculate present value for.

Step #5:

Enter the discount rate.

Step #6:

Click the "Calculate Present Value" button. This will display the present value of the annuity, the total payments/withdrawals, the interest earned or paid, and a year-by-year annuity chart.

Saving Entries:

If your web browser supports Local Storage, you can save your entries to your web browser so won't have to start over on your next visit. Please note that your saved entries can only be retrieved from the same device and web browser you were using when you stored them. If you would like to access your saved entries from any device I invite you to subscribe to the Ad-Free Member Version.

To save your entries to your web browser, click or tap the Data tab in the Help and Tools section (mobile: top right of the main screen), select "New Data Record" from the drop-down menu, enter a name for the data record, and then tap or click the Save button.

To load previously saved entries, click or tap the Data tab and select the saved data record from the drop-down menu. You can then save any changes to your entries by simply clicking the Save button while the data record is selected.

To clear a named set of saved entries, click or tap the Data tab, select the saved data record from the drop-down menu, and then tap or click the Clear button.

Numbers and Decimals:

Only numeric characters (0-9 and decimal points) may be entered in numeric fields. Non-numeric characters (dollar signs, percent signs, commas, etc.) may cause calculation errors. If the field includes a grid icon, tapping the icon will open a popup keypad which will include only the characters allowed in the field. If your device keypad does not include a decimal point, use this popup keypad to enter decimal numbers where applicable.

Popup Tool Tips:

Tap the info (i) icons for a further explanation of each entry field (you can click [X] or outside of the pop-up tool tips to close them). A summary of these explanations, along with any additional term explanations, can also be found under the Terms tab.

Disclaimer:

Since I can't test for every possible combination of numbers, please be sure to double-check the results of this calculator yourself before considering them to be valid. If you do discover an issue with the calculated results, please report the issue using the feedback form located below the calculator.

Scrolling & Shrinking:

In order to scroll the calculator vertically you will need to swipe just outside of the calculator's dark-blue border, or use the window's far right-hand scroll bar, whichever is applicable to your device.

If the top section of the calculator becomes to tall for your viewport, tapping in the "Enter a problem..." field should reset the top section to its original height.

Disclaimer:

The Algebra Calculator is the only calculator on the site that I did not create myself. And since I did not create it, I don't have access to the code for fixing any issues you may be experiencing. So if you are having issues with the calculator, please visit the support page at Mathway.com for assistance.

Glossary

Fields, Terms, and Definitions.

Reset button:

Clicking the "Reset" button will restore the calculator to its default settings.

Pocket Calculator

Calculate any amounts needed to enter into calculator.

 

Data Management

Save and retrieve entries and notes (requires HTML5 compliant web browser).

Calculator Data

Calculator Data:

If you are using the latest version of your web browser software, this feature will allow you to save your calculator entries to your web browser's local storage in between visits. This means the calculator entries can only be recalled with the same device and web browser you were using when you saved them. If you'd like to save data between devices you will need to subscribe to the Ad-Free Member Version.

Save: To save a new set of calculator entries, select "New Data Record" from the dropdown list, enter a nickname for the data record, then click the "Save" button.

Load: To load a previously saved set of calculator entries, simply select the name of the data record from the dropdown list.

Save Changes: To save changes to a set of previously saved calculator entries, be sure the name of the data record is selected, and then click the "Save" button.

Clear: To clear a saved set of entries, be sure the name of the data record is selected, and then click the "Clear" button.

Backup Data
My Notes:
Subscribe to the Cloud level of the Ad-Free Member Version to save your entries and notes to a secure online database, allowing you to access your saved entries from any device or web browser.

Sorry! The Save functions are bonus features reserved for those who allow ads to display on the page.

If you would like to use the Save features, please disable ad blocking for this website and refresh the page. Or you can choose to subscribe to the Ad-Free Member Version of the site.

Help and Tools

Help and Tools:

This section, which you can Unstick or Hide in the Calculator Preferences (just above the top of the calculator), contains the following tabs (content too long to fit within bordered frame can be scrolled up and down):

About: Click this tab for an introduction to the calculator.

Instructions: Click this tab for step-by-step instructions for using the calculator.

Terms: Click this tab for a list of the descriptions that are located within each popup help button (info icons).

PCalc: Click this tab for a handy "pocket" calculator you can use when you need to calculate an entry needed for the calculator.

Data: Click this tab to save a set of entries or a note in between visits. Entries and notes will be stored to your web browser's local storage (if supported by your browser of choice), meaning they can only be recalled with the same device and web browser you were using when you saved them. If you'd like to save entries and notes between devices you can do so by subscribing to the Ad-Free Member Version.

 

Favorites

Add or remove this page to/from my favorites.

Adjust Calculator Width:

Move the slider to left and right to adjust the calculator width. Note that the Help and Tools panel will be hidden when the calculator is too wide to fit both on the screen. Moving the slider to the left will bring the instructions and tools panel back into view.

Also note that some calculators will reformat to accommodate the screen size as you make the calculator wider or narrower. If the calculator is narrow, columns of entry rows will be converted to a vertical entry form, whereas a wider calculator will display columns of entry rows, and the entry fields will be smaller in size ... since they will not need to be "thumb friendly".

Show/Hide Popup Keypads:

Select Show or Hide to show or hide the popup keypad icons located next to numeric entry fields. These are generally only needed for mobile devices that don't have decimal points in their numeric keypads. So if you are on a desktop, you may find the calculator to be more user-friendly and less cluttered without them.

Stick/Unstick Tools:

Select Stick or Unstick to stick or unstick the help and tools panel. Selecting "Stick" will keep the panel in view while scrolling the calculator vertically. If you find that annoying, select "Unstick" to keep the panel in a stationary position.

If the tools panel becomes "Unstuck" on its own, try clicking "Unstick" and then "Stick" to re-stick the panel.