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Here is the formula to calculate mortgage payments by hand for a fixed rate loan:

M = P ⋅ r(1+r)^n / (1+r)^n – 1

In this loan amortization formula:

• M = monthly mortgage payment
• P = principal loan amount (the amount borrowed)
• r = monthly interest rate (annual rate ÷ 12)
• n = total number of payments (loan term in years × 12)

Calculating how much your mortgage payments will be is much easier with my home loan calculator — just enter the numbers in the mortgage estimator and get your monthly payment figure.

To calculate full and accurate mortgage payments, also add:

• monthly property tax
• monthly homeowner’s insurance
• monthly private mortgage insurance (PMI), if required
• HOA fees, if required

to your monthly payments.

The principal is the amount of money you borrowed. Interest is the cost you pay to borrow that cash.

Each house mortgage payment includes interest and principal. You pay interest on the remaining loan balance. Early on, most of your payment goes toward interest because your balance is still large.

Over time, as the balance shrinks, more of each payment goes to principal and less to interest.

This process is called amortization. If you look at an amortization schedule, you’ll see the interest portion decreasing and the principal portion increasing with each loan payment.

However, while this is true for most conventional loans and government-backed mortgages for home buyers, this does not apply to balloon loans.

Most mortgages allow you to pay off the entire debt before the end of the contract term, if you elect to do that.

Property taxes are often included in mortgage payments. Monthly house payments include principal and interest, but your bill may also incorporate a separate escrow account to collect property taxes each month.

Some loans, including FHA mortgage loans, require property taxes to be withheld monthly. If you have less than a 20% down payment, your lender may also require a property tax withholding account.

These funds are collected monthly and then transferred to your local or county government to pay your property tax bill when it’s due. The amount withheld changes when your property value is reassessed.

The fund is handled by the mortgage servicer, and you may be able to pay your homeowner’s insurance bill by using a similar account.

Sometimes you’re charged a fee (or a percentage of the mortgage amount) by your lender should you choose to pay property taxes yourself and not use the withholding service when that option is available.

The amount you pay in mortgage interest is based on the amount of money you borrow to purchase your home.

Let’s use an example to illustrate how this works.

You purchase a home for $400,000, and you make a down payment of $50,000. The amount you finance will be $350,000. You must then pay interest on the $350,000 of borrowed money.

It’s important to note that the interest rate percentage is not equal to the percentage of the principal. For example, a 6% interest rate does not mean 6% of the $350,000 you borrowed.

Lenders use a complex formula to calculate interest rate. As a result, the total cost of a mortgage loan with a 6% interest rate is much higher than just the 6% of the loan.

Mortgage interest rates vary depending on the type of the loan, the length of time you keep the mortgage, and the total amount you borrow from the lender.

If you make only the required payments over the course of your loan, you’ll have paid off your loan of $350,000 in full according to the timetable specified in the loan documents you sign.

Loan terms vary from several years to a 40-year mortgage. You might be able to pay smaller monthly payments by using a short-term loan, but these mortgages sometimes have higher interest rates compared to longer-term borrowing contracts.

Most home mortgages are amortized so that you pay most of your interest on the principal in the earliest years, and then pay less interest as you make loan payments in the final months.

When you pay more than the required payment each month, you’ll owe less principal and you’ll pay less interest on your loan amount over the entire time you have your mortgage.

A 1% increase in the interest rate on a home mortgage loan significantly impacts your borrowing power. As the interest rate increases, the amount of the loan you qualify for decreases.

One percent reduces the amount you’ll qualify for by thousands of dollars, sometimes tens of thousands, depending on the price of the home you’re buying.

You pay interest on the borrowed cash, and a single percentage of interest increases the amount you’ll pay the lender each month during the life of the loan.

And when you’re on the cusp of qualifying for a mortgage by using a specific interest rate, even a half-percent increase can mean your loan application will be rejected.

The amount of interest varies each year you own your home. Home financing mortgages typically are amortized. This means you pay interest to your lender over the life of the loan by using a set schedule.

Amortized loans generally collect the largest amount of interest from you each month during the first years.

As you pay your monthly mortgage bills, the amount of payment applied to the principal increases, and you’ll pay less in interest charges.

During the final years of your mortgage, nearly all of your monthly payment will apply to the principal loan amount.

The actual amount of interest you pay depends on your loan. You’ll generally pay more interest to your lender over a 30-year amortized mortgage compared with a 15-year loan.

Adjustable-rate mortgages and shorter-term loans, such as 5/7 or 7/6 ARMs (adjustable-rate mortgages) begin with a lower interest rate for several years, and the loan may then convert to a set rate or a fixed rate for a longer-term mortgage.

You’ll typically pay more of the principal each month on the short-term loans.

You have several options to lower your monthly mortgage payments.

Refinance Your Loan

Your mortgage interest rate is a major factor in calculating your monthly loan fees.

Refinancing a mortgage loan by using a lower-interest rate loan can reduce your monthly mortgage payments, but it’s important to consider the costs of refinancing.

Overall, you might end up paying more after refinancing when you factor in new loan fees and compare them with your prior payments.

Mortgage Recast
Some lenders will recast your mortgage. This involves paying down your principal with a large lump sum of cash.

Your lender will then rewrite your mortgage, with the same term and interest rate, but with lower monthly payments that reflect the lower principal you owe.

Remove Private Mortgage Insurance (PMI)

PMI is an insurance policy you pay on behalf of your lender to ensure against mortgage default. The cost can be less than 1% or as high as 2% annually.

Removing this monthly fee can dramatically lower your monthly payment.

Special Programs

Your lender may also have specific options to lower your monthly bill. These might include investing in other financial products they offer to offset your interest rate or mortgage payment.

Yes, your monthly mortgage payments may increase. Your payment amount depends on the type of mortgage you have and your lending agreement.

If you have an adjustable rate mortgage, the interest rate may go up or down over time.

Your fixed-rate mortgage might also increase over a period of time as part of your original contract, but most rates stay the same throughout the life of the loan.

Yes, you might be allowed to make additional payments on your principal.

You’ll need to check your mortgage terms and research to ensure you’re not going to be charged a prepayment penalty if you pay your loan off before the end of the contract.

Some methods to make extra mortgage payments include rounding up the amount you pay each month or making additional lump-sum monthly cash payments.

Lenders might even allow you to make bi-weekly payments. These reduce the amount of interest you pay on your principal amount over the entire mortgage term.