# Accurate Extra Payment Calculator

### Why should I make an "extra" loan payment?

If you pay an extra amount, in addition to your scheduled payment, you'll save on interest and the loan will be paid-in-full sooner.

**If I make extra payments, how much will I save?**

How much you'll save depends on the current balance, the loan's interest rate, when you start making extra payments, and the additional payment amount. Use an extra payment calculator to calculate specific savings.

In some cases, usually for longer-term loans such as mortgages, the savings in interest charges can be quite substantial. **If the borrower starts making the extra payments early enough, and for an amount that's not exceptionally large, it is possible to save tens of thousands of dollars on a $200,000 mortgage** (the average size new mortgage balance as of February 2022, according to CNBC was $453,00).

Specifically, with even a less than average mortgage, by making $200 a month extra payments, the borrower will save over $50,000 assuming a 30-year loan and a 4.25% interest rate.

**How is this possible? What sleight of hand is taking place?**

There's no sleight of hand. The future savings are a mathematical certainty. It all has to do with the way loans, and mortgages work. The periodic interest amount is calculated using the loan's current balance and multiplying it by the periodic interest rate - the lower the balance, the lower the interest amount due.

Thus when you prepay principal (make extra payments), you are lowering the loan balance used for calculating the interest due.

As I said, this is a mathematical certainty, and this calculator will show you just how much interest you'll save on any loan, and when the loan will be paid off.

**Imagine what it would be like being free of a 30-year mortgage in 20 years!** More below

### Information

#### Recent changes and enhancements — Nov. 2023

- Added title page option
- Export extra payment and investment schedule data to
**Excel/xlsx**file. Click on "Supporting Schedules" then "Continue" or "Skip" past the title page. - Save extra payment and investment schedule to
**Word/docx**file. Saving to a .docx gives you the opportunity to alter the style of the schedule, to add notes, or incorporate the schedule into a report.

**Sounds pretty good, right?**

Of course it does!

But, what if I told you, **"How much will I save if I make extra principal payments?"**, isn't the question you should be asking?

## Is it a good idea to make additional payments?

You'll save on interest by making extra payments, but you should also consider how much you would earn if you invested the funds instead. Some extra payment calculators will do the comparison calculation.

If you have $200 and you use it to make a prepayment toward a loan, you can't also use the same $200 for investing. Economists say, not being able to invest is a *foregone opportunity*. The opportunity to do something else with that same $200 won't come back. The chance is gone.

### How then do you know which is the better decision?

Use this calculator!

The calculator uses "Your Investment Rate-of-Return," and calculates the future value of all the projected extra payments. It then calculates the investment gain and subtracts it from the "Total Interest Saved" to arrive at the net gain from the extra payments (the "Interest Saved Less Investment Gain" shown).

Let's look at an example.

When you come to this page, you'll find the calculator preloaded with a $260,386 loan/mortgage, and $200 a month is the default prepayment amount.

For the investment rate-of-return, the calculator uses as a default 7.2%, which is the approximate average rate-of-return for the S&P 500 according to this (somewhat dated) analysis. (Dated, yes. But considering what the stock market has done since this study, my 7% assumption for deciding whether or not to make extra payments on a loan is conservative.)

You, of course, are free to use whatever rate-of-return you like.

Using these defaults, here are the results:

$52,829 in interest savings and the mortgage that would have usually taken 360 payments to pay off, will be paid off after 276 payments.

But, here's the real story.

If the borrower takes the $200 a month and invests it, after the 276 months, their investment GAIN will be $81,238! (Total value of the investment account will be $55,000 in extra payments invested plus the $81,238 gain equals $136,238.)

Now it should be apparent that while a $52,000 savings is terrific, an $81,000 gain is better.

Just how much better?

$28,409 better, as the final result "Interest Saved less Investment Gain" ($52,929 - $81,239) shows you.

If, after plugging in your numbers, you get a negative result too, then **YOU SHOULD CONSIDER NOT MAKING EXTRA PAYMENTS!**. You'll, at least hypothetically make more money from your investments than you save in interest charges.

## Want to confirm the results?

Then make sure you click on the "Supporting Schedules" button. There you'll find all the supporting number that went into the above analysis. There's a detailed **amortization report showing the periodic payment and interest charges as well as the extra payments** coming off the principal balance.

After the loan payment schedule, you'll find a future value or investment schedule. This schedule documents the capital gain from the invested extra payments.

When might you want to continue to make extra principal payments even when the calculator indicates investing might be the more prudent course to follow?

**There are at least two reasons I can think of when you might not want to invest the prepayment funds.**

I can express one reason with a single word - Risk!

Remember when I was discussing why making prepaid principal payments saves the borrower money, I used the phrase "mathematical certainty?" If the borrower makes the extra payments as anticipated, then the interest savings is a sure thing. The lender can only charge the periodic interest on the outstanding balance of the loan.

But, if you invest, and even if you invest per the anticipated schedule, for the full amount and on the scheduled day, the return on the investment is likely not to be guaranteed (though true, some investment instruments might offer a guaranteed profit). In that case, at the end of the term, when the loan would have been paid off, you might not have the capital gains that you had anticipated. Of course, you might also have a more significant gain than what you had anticipated.

That's the risk.

The second reason why you might not want to invest is that you want to live debt free. I understand how when someone takes out a 30-year mortgage, they might dream of living without any mortgage debt in say 20 years. I get that. The fact is, that's how I felt, and that's what I did - but I did it before I created this calculator!

But consider this - **it is possible to be both free of debt early and implement an investment strategy for your funds rather than a principal prepayment strategy.** They are not mutually exclusive!

**Let me walk you through this, step-by-step:**

- Look at our example again - the one the calculator preloads when you first come to this page (click on your browser's refresh button if you want it back). At the time of this writing, the analysis shows the final payment scheduled for March 1, 2046. Make a note - that's the debt-free date with extra payments.
- Now set the extra payments to 0 and look at the schedule. This is the schedule without any additional payments. Find the balance as of the debt-free date. Again, as of this writing (these illustrations are time sensitive), the balance will be $92,929.
- Now, one more time, reenter the extra $200 payment amount and recheck the investment schedule located after the loan schedule. (The calculator prepares an investment schedule only if you have entered an extra payment amount AND if the option "Include the Investment Schedule?:" is set to "Yes.")
- As shown, when making prepaid principal payments, the loan is paid off in 276 payments - or 23 years.
- On March 1, 2046, the balance in the investment account will be $136,238.
**You can easily pay off the mortgage using the funds in the investment account, live debt free as of the date planned, and still have nearly $40,000 remaining!**

### Of course, there is a rub.

This analysis overlooks the impact of taxes. If you live in the U.S., all or part of the interest may be deductible from your income taxes (though this is not as much of a certainty as it had been in the past). On the investment side, income taxes will frequently have to be paid on any investment gain, thus reducing the illustrated gain.

But even taxes on the gain are not a foregone conclusion. If you were to invest in tax-free bonds, then there is no tax on the income (but the illustration probably won't be as favorable). Or if you invest and don't sell along the way, the gain will compound tax-free. You'll only pay income taxes on the gain when you sell. And generally, income taxes on long term capital gains are very favorable to investors.

No doubt these points about taxes are something you need to consider. If I were to program the various tax considerations as options for this calculator, I think it would leave users very frustrated - not to mention me!

## The Calculator's Features

Of course, your situation is likely different than this hypothetical example. So you'll want to use this Extra Payment Calculator to see just what you can save and when your loans will be paid off.

Let me take a few moments to go over some the other features this calculator supports.

If you don't plan to make extra payments monthly, that's okay. The calculator will let you make additional payments using any one of 11 payment frequencies set independently from when the scheduled payments are due.

For example, do you get an annual bonus? Do you want to use that bonus to prepay principal? This calculator will still calculate your saving under such a scenario. You can easily set it to make one or two extra payments a year.

Or do you want to make a one-time extra payment? That's no problem either. The calculator supports making a single extra payment on any date during the term of the loan. Perhaps you've received a one-time inheritance, and you are considering using it to reduce your loan's principal balance. The Extra Payment Calculator will tell you the amount of interest you'll save and when the pay off will be.

Don't forget to check out the printable schedule for all the details.

(Perhaps I should also point out that the loan itself does not need to follow a monthly payment schedule. The last option on the Extra Payment tab allows the user to select any payment frequency.)

## This Calculator is Not Just for New Loans.

Up until now, I've been implying that the calculator is only for analyzing new loans. That's not the case. Perhaps you've been making loan payments for a few years, and you've recently received a raise. If you want to see the impact of making extra payments on an existing loan then there are no unknowns for the calculator to calculate (other than the effect of making the prepaid principal payments of course), so enter the following for the first four inputs:

- The loan's balance as of the last payment due date.
- The number of payments remaining.
- The loan's interest rate.
- The regular payment amount.

The calculator will use the terms of your loan for the analysis.

There is also **one other setting to be aware of**. On the "Extra Payments/Investment Rate" tab, please see "Is a Regular Payment Due Today?:" This setting impacts the analysis. It is set to "No" by default. However, if for the loan balance, you enter the balance as of the date a payment is due, then you should set this to "Yes." This prevents the calculator from adding the accrued interest since the last payment due date.

If you don't follow the above, please don't stress out. It won't make that big of a difference!

## Don't Forget the Charts

No doubt if you spend time going over the schedules, you may find your eyes glazing over. (For sure, there are a lot of numbers!) If you find that happening to you, or if you aren't a detailed "numbers person," make sure you check out the nine charts that the calculator automatically creates.

- Annual Totals without Extra Payments
- Annual Totals with Extra Payments
- Annual Investment Plus the Annual Gain
- Accumulated Totals without Extra Payments - running totals since the loan's origination
- Accumulated Totals with Extra Payments
- Accumulated Investments Plus the Total Gain - show year-over-year growth and final value
- Pie Chart Loan Payment Total Allocated to Principal and Interest
- Pie Chart Loan Payment Total Allocated to Principal and Interest with Extra Payments
- Pie Chart Showing Breakout of Investments and the Gain on the Investments

## Wrapping Up

When you were searching for an extra payment calculator, you probably just wanted to see how much interest you could save. You didn't expect there to be so many things to consider.

Don't feel as if you need to digest all of this in one sitting. Come back and try different scenarios. Make different assumptions.

But remember, the point is, no matter what decision you make, the calculator will help you to make an informed one.

When you make that decision, I would love to hear from you about what course of action you plan to take. And did you find this calculator to be a useful tool? Should I make any changes in the way it works?

You can let me know in the comments below.

The accelerated payment calculator will calculate the effect of making extra principal payments. A minimal extra principal payment made along with a regular payment can save the borrower a large amount of interest over the life of a loan, particularly, if those payments start when the debt is relatively new.

For example, assume that you have taken out a loan for $130,000, for 360 monthly periods with an annual interest rate of 7 3/4%. If with the 49th payment, you start to pay an extra $225, you will save $75,901.42 in interest payments, and the loan will be paid off in 234 payments instead of the original 360 payments.

It is straightforward to calculate many different scenarios quickly. Note that the higher the interest rate, the greater the savings for any extra payment amount. Also, for a standard amortizing loan, the interest savings will be more significant the sooner the additional payments start. That is, you will save a lot more in interest if you pay an extra $50 a month for the last 20 years than if you pay an extra $100 a month for the previous ten years.

As with many of our other calculators, this calculator will also solve for an unknown input. For example, if you want the calculator to calculate the regular monthly payment, enter '0' (zero) for the "Periodic Payment" and a non-zero value for "Amount of Loan," "Total Months," and "Annual Interest Rate."

If you do not enter a '0' value, the calculator will use your inputs. This allows you to use any payment amount that you need.

## Monica Ambs says:

I have a weekly mortgage payment that comes out every Friday and I contribute an extra $1250.00 per month on the first. When I use the Accurate Extra Payment Calculator it defaults the weekly regular payment to Saturday every single time. How do I get the calculator to post the payment on the Friday of each week.

## Karl says:

First, to answer your question, Monica, you’ll need to use the Ultimate Financial Calculator to be able to show the payments on Friday.

If you try the UFC, scroll down the page to the tutorials. There are two about extra payments. Also, the first tutorial is about setting up a loan calculation.

On the other hand, generally when someone is looking at the impact of extra payments, since the calculation is a forward looking calculation, and it is doubtful that someone is going to make every payment on the exact date projected, whether you have a schedule with the payments on Friday or Saturday is not going to make a material difference in the result. What I’m trying to suggest is, it may not be worth the effort required to set your calculation up using the UFC. But if you have any questions, just ask.

## Pam Jaquish says:

Hi, I’ve been using your charts for years but this time when I use the extra payment calculator, I put in the 180 payments for a 15 year mortgage, when I print it, it changes it to 250 months. What am I doing wrong? Also, if I only use the Ultimate, and extra payment, can you think of a reason I may need a yearly subscription for anything else. I am managing my own rentals and mortgages,but haven’t had to do these in a while. Plan on selling a lot of my rentals for mortgages, so any advice on the forms I may need to get these people to closing would greatly help. I took over this from my husband upon his death and tired of dealing with all of the work at my age. Thanks in advance. Pam

## Karl says:

Hi Pam, First, if you are tracking payments, the only calculator you should need to use is the Ultimate Financial Calculator. It will also handle extra payments.

As to your question about the number of payments changing, I would need you too document all your inputs and settings. Tell me what you are trying to solve for.

## pjake says:

Good Morning, Karl,

Well, I am on a deadline for my attorney and I tried again to use the Extra payment calculator, I like that one usually much better, for what I need than the ultimate, which I don’t really understand. The amortization calculator is what I usually use when I have done a closing and starting from scratch, but when I am having to figure out and figure UP what a client has done I need the extra payment calculator and it works perfectly except that when it asks the number of payments that the person has paid with this extra payment, I put in the 68 payments out of 180 (his original mortgage) and he has paid 68 months at .38 more. That is all, but it is enough to mess me up. His payments should have been 350.62 and he pays $351.00 every month. I am trying to figure up how much principal and how much interest as in your amortization calculator, but when it asks how many payments he has paid this paltry little extra amount, I put in the 68 months he has paid and it changes the original length of the mortgage from 180 to 248 (adding the 68 monthly payments to the original 180 months of the mortgage). Is there a calculator that will do this for me? I thought I remembered you had one originally that figured it the correct way without changing the amount of months he is to pay. As I said, I do not really get the Ultimate calculator. My favorite is the simple amortization and I use it about 98% of the time unless someone throws a monkey wrench in the works like this fella. Any advice you can give me would be appreciated. I am supposed to get this to him today.

Pam

## Karl says:

Use the amortization schedule, but instead of having it calculate the payment amount, enter the payment amount he is actually paying. Set the number of payments to 0, so the calculator calculates the term based on the actual payment.

The thing with using the amortization schedule for this, is you can’t change the dates. It will assume all payments are made on the scheduled date. The UFC will let you change dates.

As to the UFC, did you read any of the tutorials? Did you watch any of the videos? If something is not clear, it would be better for you to say what that is, rather than “I do not really get…” if you want assistance in understanding the calculator.

## alaberge says:

Does AccurateCalculators.com have a ONE TIME prepayment comparison tool to compare (1) reducing remaining installments of principal in “inverse order of maturity” beginning with the final installment and working backward from there to (2) reducing such installments in “forward order of maturity” beginning with the next installment that is due? I think the first method benefits the borrower and the second benefits the lender, and I’d like to assess the different in interest savings between the two. By “one time,” I mean, for example, a one-time $100K payment at some point on a ten-year $800K loan. Thanks.

## Karl says:

The Extra Payment Calculator you are using allows you to make single extra payments on any date.

However, what you describe is not how amortization works. On the day a payment is made, the loan balance after the last payment is used for calculating interest due until the current payment date. The interest is added to the balance, and the payment is deducted. If an “extra” principal payment is paid, the balance is adjusted accordingly. There’s no reducing the “remaining installments of the principal.” The principal is reduced once, when the payment is made.

## alaberge says:

Okay, thank you, I see that it allows for just one extra payment. The current loan I am working with provides for quarterly payments. The extra loan calculator seems to be limited to months in regard to “number of payments remaining.” Is that the case? Also, just to confirm, there isn’t a calculator for prepayments in “inverse order of maturity,” correct? This is a relatively standard clause in loan agreements but probably not the main type for mortgage loans. In any case, wouldn’t it kind of be a distinction without a difference?

## Karl says:

There is an option on the Extra Payment Calculator for "Extra Payment Frequency". That will allow you do do quarterly extra payments (even with monthly regular payments).

About “inverse order of maturity,” having developed calculators for nearly 40 years, and working with a number of different mortgages and loans, I have never heard of this. Do you have a link to a reference? My point had been that this is not how loans (normally) work.

## Andre LaBerge says:

Thanks. Just a few inverse order links are below. I could send more from my Lexis practical account but I don’t know how to attach .pdfs to this reply. Regarding the extra payment, my situation is that my regular payments are quarterly (not monthly) payments and I only want to make one extra payment.

https://news.blueridgeesop.com/blog/esop-internal-loans

https://www.lawinsider.com/clause/cancellations-and-prepayments-in-inverse-order

https://www.likeforex.com/glossary/w/inverse-order-of-maturity-89617

## Karl says:

Thank you for the links, I’ll get to them in a minute.

But first, let me point out this setting: "Loan’s Scheduled Payment Frequency" (the last option on the option tab). Use this choice to set your regular quarterly payment schedule. I assume you see how you can enter just one extra payment.

As to "inverse order of maturity,", I understand now. From the Blue Ridge site:

The inverse order of maturity is the method I was describing (as I said, I’ve never heard this term before – not very self-describing if you ask me). This just means the principal balance is reduced by the extra payment amount and the regular payment does change. The impact on the loan is, it will be paid off faster (due to less interest on a lower principal balance).

With the order of maturity provision, after the extra payment, the going forward, regular payments due, are reduce so that the loan will mature (be paid off) on or about the same date it was due to be paid off before the extra payment was paid.

The order of maturity will save you the most (and, again) is what this calculator supports automatically.

If you want to see an inverse order of maturity, you can do two calculations. First do the regular schedule up until you make the extra payment. Then check the balance, and calculate another loan with the new balance and the number of payments remaining. Add the interest from first schedule with the interest from the second schedule and you have the total interest paid for the inverse order.

Does this help?