Amortization Calculator – Bret's Blog (2024)

Posted on November 18, 2023

Calculator Web Page Redesign

This update is long overdue.

The world of web pages has grown smaller over the years. That is, web pages are increasingly geared toward hand-held devices like phones and tablets. The design I had for so long was still targeted at desktop screens.

I published a new responsive design of the amortization calculator pages which now scale better for smaller screen sizes. For now, the color scheme is mostly the same, and the calculations themselves should not be affected. I hope you’ll not notice any serious change in behavior.

But it’s always possible that I messed something up along the way, so if something breaks for you, or if some formatting seems particularly wonky, please let me know!

Posted on June 22, 2010June 22, 2010

The Latest Addition

Over the years, a lot of people have asked for calculator features like occasional extra principal reduction payments, tracking fees or late charges, summary of interest over a fiscal year. My pat response is “this kind of thing needs a spreadsheet or special-purpose software.”

Well, I’ve taken a little time to work up a basic amortization spreadsheet. It doesn’t have all the calculation options that the web calculator provides (it only calculates the payment, for example), but the amortization schedule it produces will allow one to track extra payments and fees, to include payments for insurance and taxes, and it provides a nice fiscal year summary of interest paid.

It took a few days of playing around with Excel to get it working mostly right, and it’s free for you to download and try, if you’re into that kind of thing. Maybe it will give you some ideas about how to build your own custom spreadsheet. But of course, use at your own risk! Please don’t base any high-finance decisions on the spreadsheet’s results until you’ve verified that it’s doing everything correctly. Like the web calculator, I consider this a planning tool only!

If you want to give it a shot, here’s a link to the spreadsheet. Enjoy!

Posted on June 14, 2010

Pushing the Limits

I’ve made a few more improvements to the calculator today. Since I added some comma separators to the output to improve the readability of larger numbers, I thought I should do something about the upper bound of the calculator. Before today, the calculator couldn’t amortize amounts larger than about 21.4million. This upper bound was imposed by the computer’s native word size and how I chose to round values to the nearest whole penny. By changing the rounding procedure, I have boosted that upper bound to under 10billion. Above this value, the calculator will silently start to lose resolution at the low end, but amortizing values in the 100s of millions should be possible now.

Posted on June 12, 2010

Identifying the cross-over point

I just can’t help myself: when I start to tweak things, I start coming up with more ideas for making things a little better or easier. Nothing dramatic, just little things.

Today’s idea was to make it easy to identify that point in the amortization schedule when the principal component of a payment first exceeds the interest component of a payment. Let’s call that the cross-over point. If you run an amortization schedule now, the cross-over point is highlighted in green. There may be schedules without a cross-over point (usually shorter term loans), in which case there’s no special highlighting.

Who knows what might come next, now that I’ve started tweaking. 🙂

Posted on June 11, 2010June 11, 2010

Small Improvements

It’s been a while since I’ve made any improvements to the calculator, but today I finished a few cosmetic upgrades. The Summary section has some nicer layout and formatting, and the addition of comma-separators should make larger numbers easier to read.

Posted on October 2, 2009October 2, 2009

Even more math…

Hi, folks. It has been quite a while since I’ve made any substantial additions to the site. I just added a new document with some new formulas for directly calculating the interest portion of any payment, and for calculating the total interest paid so far. If you’re into math, you might find the Interest Recurrence document mildly useful.

Posted on October 30, 2008October 30, 2008

A little Halloween treat

I added a little Halloween decoration to the calculator page, for some holiday variety. Thanks to Don Barnett for the cool pumpkin background.

Posted on October 17, 2008

Calculator Printing and Display tweaks

I’ve made some slight modifications to the schedule display: alternating rows of the table now have color bands to help identify rows more easily. In the process, I was also able to reduce (slightly) the amount of HTML that’s generated, allowing the schedule to download and render more quickly (though this is hardly an issue for most of us these days).

For people generating hard copies, I made some very minor tweaks as well. I don’t know if it makes things any better or not.

Posted on August 10, 2008August 10, 2008

Baubles and bangles and beads

Through trial and error I have played with the calculator’s web appearance. I think it looks more attractive, and I hope you do too. I would never claim to be a graphic designer, but I do what I can.

Credits:

Posted on August 8, 2008August 8, 2008

Printing Schedules (again)

Hi, folks. I’ve heard from a few of you who have said that you have difficulty printing schedules, or that schedules produce a lot of blank pages. I still haven’t experienced this problem myself because I can’t test every browser/printer combination available.

However, I have tried to make some changes to the HTML that the calculator produces. For those of you who had printing problems, please give the calculator a try now, and let me know if things have improved any (or if they’ve gotten worse, or if nothing has changed).

Thanks!

Amortization Calculator – Bret's Blog (2024)

FAQs

What is the easiest way to calculate amortization? ›

To calculate amortization, first multiply your principal balance by your interest rate. Next, divide that by 12 months to know your interest fee for your current month. Finally, subtract that interest fee from your total monthly payment. What remains is how much will go toward principal for that month.

How do you calculate amortization value? ›

The formula for amortization subtracts the residual value from the initial value and then divides it by the useful life. The residual value is usually credited to the accumulated amortization account in the journal entries, as it reduces the total amount that needs to be amortized over the asset's lifespan.

How to solve amortization problems? ›

Amortization Formula
  1. PMT=P⋅(rm)[1−(1+rm)−mt]
  2. P is the balance in the account at the beginning (the principal, or amount of the loan)
  3. r is the annual interest rate in decimal form.
  4. t is the length of the loan, in years.
  5. m is the number of compounding periods in one year.
May 26, 2022

How to compute monthly amortization for a housing loan? ›

Starting in month one, take the total amount of the loan and multiply it by the interest rate on the loan. Then for a loan with monthly repayments, divide the result by 12 to get your monthly interest. Subtract the interest from the total monthly payment, and the remaining amount is what goes toward principal.

What is the most commonly used method of amortization? ›

There are several ways to calculate the amortization of intangibles. The most common way to do so is by using the straight line method, which involves expensing the asset over a period of time.

What is the rule of 72 in amortization? ›

It's an easy way to calculate just how long it's going to take for your money to double. Just take the number 72 and divide it by the interest rate you hope to earn. That number gives you the approximate number of years it will take for your investment to double.

What is the formula for calculating amortization expense? ›

Assuming the straight-line method is used, the company divides the capitalized cost by the estimated useful life, and that gives you the amortization expense per year to recognize in the financial statements. Similar to depreciation, amortization is a non-cash expense, so there is no cash flow impact.

Is there an Excel formula for amortization? ›

The beginning loan amount changes each month since a portion of the principal balance is being repaid as part of the monthly payment. Alternatively, we can use Excel's IPMT function, which has the following syntax: =IPMT(rate, per, nper, pv, [fv], [type]).

What is the formula for future value amortization? ›

How do I calculate future value? Future value is calculated by using the formula FV = PV (1 + r/n)^(nt). In this formula, FV is the future value, PV is the present value, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years.

What is the formula for constant amortization? ›

The calculation for a loan constant is the annual debt service divided by the total loan amount.

What is the formula for asset amortization? ›

The formula to calculate amortization is equal to the historical cost of the intangible asset subtracted by its residual value, which is then divided by the useful life assumption.

What is the formula for fixed amortization? ›

The fixed loan payment formula is P = r ∗ P V / ( 1 − ( 1 + r ) − n ) , where P is the monthly payment, r is the monthly interest rate, P V is the initial loan value, and n is the number of monthly installments.

How to calculate amortized cost? ›

Key Formulas
  1. Amortized Cost = Purchase Price - Repayments + Amortization of Discounts/Premiums.
  2. Amortization Amount Per Period = (Discount or Premium Amount) / Number of Periods.
Dec 21, 2023

What is an example of amortization? ›

Example A: A business has a $10,000 software license, which it expects will come to an end in five years. Using the straight-line method, the amortization expense would be $2,000 per year for the next five years. At the end of five years, the carrying amount of the asset will be zero.

What is the formula for calculating loan amount? ›

E = P*r*(1+r)^n/((1+r)^n-1) where, E is EMI. P is the principal loan amount, r is the rate of interest calculated monthly, and.

Which three methods are used to calculate amortized cost? ›

There are generally three methods for performing amortized analysis: the aggregate method, the accounting method, and the potential method. All of these give correct answers; the choice of which to use depends on which is most convenient for a particular situation.

How do you calculate simple interest amortization? ›

Formula for calculating simple interest

You can calculate your total interest by using this formula: Principal loan amount x Interest rate x Loan term in years = Interest.

References

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