Make Your Own Mortgage Calculator Using These Popular Formulas

February 13, 2015 - 5 min read

Use A Mortgage Calculator To Find Your Payment

Mortgage rates change daily and, lately, they’ve been dropping.

Since the start of 2014, the average 30-year fixed rate conventional mortgage rate has dropped nearly 100 basis points (1.00%) to the mid-3 percent range, and banks are quoting rates and APRs in close to 2 years.

For FHA loans and VA loans, mortgage rates and APRs are even lower.

According to mortgage-software provider Ellie Mae, rates have averaged close to one-quarter percentage point below a comparable conventional loan rate; and VA mortgage rates have averaged 0.375 percentage points less.

It’s an excellent time to comparison shop today’s interest rates.

Millions of U.S. homeowners are “in the money” to refinance, which means that they stand to reduce their mortgage rate by 150 basis points (1.50%) or more; and have at least $50,000 and 10 years remaining on their mortgage. Millions more are not “in the money”, but stand to make substantial monthly savings.

The typical refinancing homeowner is saving more than 30% monthly via a refinance, says Freddie Mac.

So, how much will you save? That depends on your current interest rate and the rate you can get from today’s banks. It also depends on the length of your new mortgage — 30 years, 15 years, 10 years, or something else.

Discover for yourself what you can save. All you need is a few formulas — which are shown below — and your favorite desktop spreadsheet software. Formulas are shown for Microsoft Excel, Google Docs, and Mac Numbers.

Or, you can use this online mortgage calculator.

Mortgage Calculator Formula : Principal + Interest Calculation

A standard, amortizing mortgage payment is comprised of two parts — principal reduction and interest repayment. Amortizing loans are the most common loan type, and apply to 30-year fixed loans, 15-year fixed loans, and home equity loans.

Finding the monthly (principal + interest) payment on an amortizing loan is among the simplest of the spreadsheet mortgage formulas.

You’ll need to know 3 pieces of information about your loan, and how to assign those values to the formula’s variables.

The formula’s variables are :

  • Periodic Rate : Your mortgage rate divided by 12 (Get today's rates here

    )
  • Number of Periods : Your loan term (in months)
  • Present Value : Your starting loan size

The standard mortgage payment formula also contains two extra variables, you’ll notice — Future Value and When Due. Both should be equal to 0. This tells the spreadsheet that the home will eventually be paid off to $0, and that interest on your mortgage will be paid in arrears.

Place this formula either (1) in the cell into which you’re trying to solve, or (2) in the formula bar at the top of your spreadsheet.

Also, make sure to add a negative (-) in front of the formula.

Click to use the online home mortgage calculator.

Mortgage Calculator Formula : Principal Paid In A Given Month

With an amortizing loan, the amount of principal included in your payment starts off small, then gets bigger over time. If you’ve ever noticed how your loan balance is barely dented after 5 years of payments, this is why. It’s amortization at work.

Whether your mortgage is VA loan, conforming loan, an FHA loan or USDA, amortization schedules are decidedly bank-friendly. This is just the way that mortgages work.

Take the 30-year fixed rate mortgage, for example. With the 30-year fixed, it takes 18 years before your mortgage payment pays more principal than interest. Prior to that 18th year, your monthly payment is more than 50% interest payments.

To calculate how much principal you’re paying in any given month, you’ll need to know 4 pieces of information about your loan, and how to assign those values to the formula’s variables.

The formula’s variables are :

  • Periodic Rate : Your mortgage rate divided by 12 (Get today's rates here

    )
  • Period : The month for which you are solving
  • Number of Periods : Your loan term (in months)
  • Present Value : Your starting loan size

The principal payment formula also contains two extra variables — Future Value and When Due. Both should be equal to 0. This tells the spreadsheet that the home will eventually be paid off to $0, and that interest on your mortgage will be paid in arrears.

Place this formula either (1) in the cell into which you’re trying to solve, or (2) in the formula bar at the top of your spreadsheet, and make sure to add a negative (-) in front of the formula.

In the example shown, the homeowner’s first mortgage payment contains $395.06 of principal paydown.

Click to use the online home mortgage calculator.

Mortgage Calculator Formula : Interest Paid In A Given Month

Interest charges are the “other half” of your monthly mortgage payment; the portion not covered by principal. But unlike principal payments which increase over time, interest charges fall over time.

You pay less interest toward the end of a loan than you do at its start.

To calculate how much interest you’re paying in any given month, you’ll need to know 4 pieces of information about your loan, and how to assign those values to the formula’s variables.

The formula’s variables are :

  • Periodic Rate : Your mortgage rate divided by 12 (Get today's rates here

    )
  • Period : The month for which you are solving
  • Number of Periods : Your loan term (in months)
  • Present Value : Your starting loan size

The interest payment formula contains the same two extra variables — Future Value and When Due. Both should be equal to 0. This tells the spreadsheet that the home will eventually be paid off to $0, and that interest on your mortgage will be paid in arrears.

Place this formula either (1) in the cell into which you’re trying to solve, or (2) in the formula bar at the top of your spreadsheet, and make sure to add a negative (-) in front of the formula.

In the example shown, the homeowner’s first mortgage payment contains $1125.00 in interest charges. If we add this to the principal payment of $395.06 solved for in Formula #2, we’re left with a payment of $1,520.06 — the exact figure solved for at the top of the page.

Get A Complimentary Mortgage Rate Quote

With mortgage rates down, it’s an excellent time to consider your options as a buyer or refinancing homeowner. You can calculate your savings using Microsoft Excel, Mac Numbers, or Google Docs; or you can use an online home mortgage calculator.

Get a live mortgage rate to use for your formulas. Rates are available online at no cost, with no obligation to proceed, and with no social security number required to get started.

Time to make a move? Let us find the right mortgage for you

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Dan Green
Authored By: Dan Green
The Mortgage Reports contributor
Dan Green is an expert on topics of money and mortgage. With over 15 years writing for a consumer audience on personal finance topics, Dan has been featured in The Washington Post, MarketWatch, Bloomberg, and others.