How Is Mortgage APR Calculated Using the Loan Formula?

APR is not your interest rate. APR is a number that shows how much a loan will actually cost you, because it includes fees and other costs in addition to interest. You can calculate it with a formula.

Infographic explaining how mortgage APR is calculated using interest, fees, loan amount, and loan term

How to calculate APR?

APR = [(Total interest paid + fees) ÷ (Loan amount × Loan term in years)] × 100

For better understanding, look at this example:

  • Loan amount: $100,000
  • Interest rate: 5%
  • Loan term: 30 years
  • Closing costs: $3,000

Step 1: Find your monthly payment

using the loan amount, interest rate, and repayment term, your monthly payment (Principal + Interest) would be about $537.

Step 2: Calculate the total cost of the loan:

Multiply the monthly payment by the total number of payments, then add the fees and costs.

Total Cost = ($537 × 360) + $3,000 = $199,320

Step 3: Separate the Interest Amount

Total Interest = $199,320 − $100,000 = $96,320

Step 4: Plug the Numbers into the Formula

 

APR = [(96,320 + 3,000) ÷ (100,000 × 30)] × 100 ≈ 3.31%

 

This is a simple, back-of-the-envelope calculation. When a lender provides an APR on a Loan Estimate, Regulation Z, which governs how annual percentage rates are reported for mortgages, requires them to use a more accurate method of calculation.

The above formula is good for roughly comparing different loan offers, but the number on your official loan documents is the one that matters legally.

APR vs. Interest Rate: What’s Actually Different

Feature

Interest Rate

APR

What does it show?

The cost of borrowing the loan principal

The overall cost of the loan including interest and fees

Includes fees?

No

Yes

Used to calculate monthly principal and interest payments?

Yes

No

Includes origination fees, broker fees, and discount points?

No

Yes

Which one is usually higher?

Lower

Slightly higher

Best for comparing loan offers?

Limited

Better comparison tool

The interest rate is the cost you pay to borrow the principal amount of a loan, excluding any other fees. It is the number used to calculate the monthly payment of principal and interest on a loan.

APR (Annual Percentage Rate) is a broader term. It combines the interest rate with additional fees, such as origination fees, broker fees, discount points, and most closing costs, and then shows the total cost of the loan as a percentage per year.

That’s why the APR is usually slightly higher than the stated interest rate.

It’s also why comparing two loans based on interest rates alone can be misleading. A loan with a lower interest rate but higher fees and charges may have a higher APR than a loan with a slightly higher interest rate and fewer fees.

What costs are included when calculating the APR?

Note that not all costs associated with a mortgage are included in the APR. These costs include:

  • Interest Rate: The basic cost you pay to borrow the principal amount of the loan.
  • Origination Fees: The fee the lender charges to review, process, and approve the loan.
  • Broker Fees: This fee is charged if a broker processes the loan on your behalf.
  • Discount Points: A fee you pay up front to reduce the interest rate on the loan.
  • Certain Closing Costs: Costs such as appraisal and underwriting are usually included in the APR; But costs like Title Insurance and Recording Fees are usually not included, as these are paid to third parties and exist regardless of which lender you choose.
  • Mortgage Insurance: When mortgage insurance is required because the down payment is below a certain limit.

Example, Calculating the APR for a DSCR Investment Loan

Here’s an example to help you better understand the calculation.

Let’s say you’re looking to buy a rental property and you’re taking out a DSCR loan. With this type of loan, your eligibility is based on the rental income from the property, not your personal income from your W-2.

 

Loan Amount: $250,000

Interest Rate: 7.5%

Loan Term: 30 Years

Termination Fees: $6,000

 

Your monthly principal and interest payment will be about $1,748.

Over 360 monthly payments, the total payments are:

 

1,748 × 360 = $629,280

 

Adding $6,000 in upfront costs:

 

Total loan cost = $635,280

 

Then we subtract the principal amount of the loan:

 

635,280 − 250,000 = $385,280

 

This number includes the total interest and loan fees. Plugging it into the formula, the simplified APR is approximately:

 

5.1%.

 

Note that there is a difference between the stated loan rate (7.5%) and this lower APR number. This is because this simplified formula divides the total finance charge annually over the entire loan amount and term, while lenders’ software does a more precise calculation and takes into account the effect of compounding interest monthly.

 

However, this method is still useful for determining which of two loan offers is actually cheaper, as the same calculation is performed for both offers in the same way.

 

For DSCR investors, this is even more important because fee and cost structures can vary greatly between different lenders. A loan with a slightly higher interest rate but fewer points and fees may be a better option after factoring in the APR than one with a lower rate but higher fees.

Conventional Loan APR and the Mortgage Process

Understanding how conventional loans work is important because APRs can look different depending on the type of loan.

Conventional loans, which are not insured or guaranteed by the federal government, typically combine the interest rate along with any additional fees and charges into a single APR number. This makes it easier to compare them to other options, such as government loans or DSCR loans.

The APR is first formally displayed during the mortgage acquisition process, on the Loan Estimate form long before you commit to a loan or lock in your rate. This is where you can compare different loan offers.

Common Mistakes When Calculating APR

There are some common mistakes that you should definitely avoid:

Ignoring Fees

This is the most common mistake. If you just include the interest rate in your calculations and exclude fees like loan origination fees or broker fees, you haven’t actually calculated the APR; you’ve just restated the interest rate in a more complicated way.

Ignoring the Loan Term

A longer loan term means that the fees are spread over a larger number of payments, which changes the APR, even if the interest rate and the amount of fees are exactly the same. When comparing two loans, you should always keep the loan term constant.

Assuming that a lower interest rate always means a lower APR

This is not true.

For example, a loan with a 6.5% interest rate and $8,000 in fees may have a higher APR than a loan with a 6.9% interest rate and only $1,500 in fees, especially on shorter term loans.

Ignoring Compounding Frequency

The number of times interest is calculated and compounded affects the actual cost of the loan. Always check this with the information provided by the lender and don’t assume that the calculation is done only monthly.

Why is APR more important than the interest rate you see in advertisements?

Real estate investors pay attention to APR for a few specific reasons:

Infographic showing conventional loan APR, common APR calculation mistakes, loan cost comparison, and why real estate investors use APR

  1. Ability to directly compare different loan offers: When two lenders offer different interest rates and fee structures, converting both to APR allows them to be compared on a level playing field.
  2. Direct impact on ROI calculations: A lower APR means lower financing costs, which means more room for cash flow.
  3. Helps you choose between different loan options, especially DSCR loans: When an investor compares Debt Service Coverage Ratio on DSCR loans to other options, APR shows whether a loan with a higher quoted rate is actually a cheaper option after all costs are taken into account.

Frequently Asked Questions

What is APR (Annual Percentage Rate?

APR is the annual cost of a loan, expressed as a percentage. It includes the interest rate plus most of the fees the lender charges, giving you a single number that represents the true cost of getting a loan.

What is the APR formula?

APR = [(Total interest paid + fees) ÷ (Loan amount × Loan term in years)] × 100. Lenders use a more precise and legally required version of this formula in their official disclosure documents.

How is the APR calculated on a mortgage?

Add the total interest you’ll pay over the life of the loan to your fees and charges, divide it by the loan amount, then divide again by the loan term and multiply by 100 to get the percentage.

How do you calculate the APR on a mortgage manually?

Start with your monthly payment, multiply it by the number of payments to get the total cost, subtract the loan amount to get the interest, add the fees, then divide it by the loan amount multiplied by the loan term. For the exact steps, follow the example calculation above.

How is APR different from an interest rate?

An interest rate only covers the cost of borrowing the principal amount of the loan. APR also adds in fees and other loan expenses, so it’s almost always the higher of the two.

How do you calculate APR from an interest rate?

Take the interest rate as a starting point, then add in fees (loan origination fee, broker fee, points, and any applicable closing costs), and use the formula above to calculate that combined cost on an annualized basis. The interest rate alone is not your APR.

How do you calculate interest rate from an APR?

It’s not a simple reverse calculation, as APR combines several different types of fees. Ask your lender for a breakdown of the fees, subtract these from your total finance charge, and the remaining amount will be your net interest charge.

What are the fees included when calculating APR?

Loan origination fees, broker fees, discount points, mortgage insurance if required, and some closing costs like appraisal fees and loan reviews. Fees paid to third parties like title insurance are usually not included.

What is a good APR for a mortgage?

It depends on current market rates, your credit score, and the lender’s fee structure. The useful comparison isn’t “Is this APR good on its own?” but “Is this APR lower than other offers I’ve received for the same loan term?”

Can your APR change after the loan is finalized?

For fixed-rate mortgages, no, the rate remains the same throughout the term of the loan. For adjustable-rate loans, the APR can change as the base rate changes based on the terms of your agreement and market conditions.

Does the APR include mortgage insurance?

Yes, when mortgage insurance is required because your down payment is below the limit set by the lender, this cost is included in the APR.

Is the APR calculated monthly or annually?

The APR itself is always expressed as an annual figure. Some lenders also show a monthly periodic rate on your bill, which is simply the APR divided by 12, but this is a different number for a different purpose.

Why is my APR higher than my interest rate?

Because the APR includes costs that your interest rate doesn’t include. Loan origination fees, points, and some closing costs are factored into the APR and calculated annually, which makes the APR higher than the simple interest rate in almost all cases.

How is the APR calculated differently for a DSCR loan compared to a Conventional loan?

The formula itself doesn’t change, but DSCR loans typically have a different fee structure and slightly higher rates than Conventional loans because eligibility is based on rental income from the property, not personal income. That’s why it’s especially important to look at the APR, not just the stated rate, when comparing DSCR offers.

What is the APR in real estate?

In the context of real estate, “annual percentage rate” usually refers to the APR on a mortgage or loan used to finance the purchase of a property, which includes the interest rate plus any additional fees and charges associated with financing the property.

Ray Mabilin

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Jessica Avery

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Kristy Carter

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Bill Beck

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Lori Duran

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Jen Blake

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Lloyd Moua

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