Real Estate Math (Boring -but extremely important)

By
Real Estate Broker/Owner with Fierce Realty Corp RM424134

Learning basic math as a buyer, seller, and even a new Real Estate Agent is essential in the success of buying, selling, and working with clients. 

I came across a website, while helping a new agent in a coaching session on basic real estate math, created by Travis of http://www.basictrainingforrealestate.com/

Travis goes over the essential math knowledge needed for the success of a real estate transaction. Below is a clip of the article written by Travis, that I wanted to share. He explains interest rates, LTV, proration, and debt to income ratio.

I know, its boring stuff,  but its actually very important information to learn and know.  It's also a quick go to guide when speaking with a lender to help understand the technical language that they use.

Well, here it is:

 

Financial Math in Real Estate

As a real estate agent you will have many conversations with loan officers.  Some of the common terms you will hear include interest rates, LTV, discount points and debt to equity income.  Below, I give a few examples of each of these and try show the relevance to real estate agents.

INTEREST RATES Probably the most common term you will hear is interest rate.  Every loan will most likely have an interest rate.  The interest income generated from the loan is a vital source of revenue for the lender.  For the borrower, it is cost associated with borrowing money.  Let’s look at some examples of calculating simple interest: Your buyer wants to borrow $100,000 to purchase their home and the lender is charging 4.5% interest per year.  How much will your buyer pay in interest the first year of the loan? $100,000 x 4.5% = $100,000 x 0.045 = $4,500 of interest the first year. Since educators like to mix things up on exams let’s change things around a bit: If we know that your borrower is being charged $9,000 for her first year of interest on a loan of $225,000, then what is the interest rate the lender is charging? $9,000 (interest) divided by $225,000 (loan amount)= 0.04 = 4.0%  

LOAN TO VALUE RATIO LTV stands for Loan to Value.  Lenders are concerned with how much money they will lend your borrower as a percentage of the appraised value of the desired home. For example, if your borrower wants to buy a home for $100,000 and has $5,000 available to use as a down payment, the bank will have to lend $95,000 ($100,000 minus $5,000) for the loan to happen. The Loan to Value calculation will be: $95,000 (loan amount) divided by $100,000 purchase price = 95% LTV Let’s think about it a different way: If your buyer wants to purchase a $300,000 home and the lender will lend up to 90% of the loan, how much will your borrower need as a down payment? $300,000 x 90% = $270,000 loan amount $300,000 (purchase price) – $270,000 (loan amount) = $30,000 needed for a down payment. Real life, however may not always be so clean cut. Let’s use the example above and say that the sales contract was written with a $100,000 sale price but the appraised value is comes $97,000. What does this mean to the buyer? It’s likely the lender will only finance up to the appraised value of $97,000 minus any required down payment. So, if the lender requires 5% down payment and the house appraised for $97,000 what are the buyers options? The buyer can walk away from the contract which can mean the loss of earnest money and/or any due diligence/option fees already paid. The buyer can go back to the seller and ask to renegotiate since the house did not appraise for the asking price. The buyer can go ahead with the contract as it stands and come up with the difference needed to make the deal happen. So let’s calculate what the buyer will need to do this: Appraised value = $97,000 Bank requires 5% down payment = 5% x $97,000 = $4,850 from buyer. To satisfy the contract the buyer will need to make up the difference between the appraised value and the contract price. $100,000 (contract price) – $97,000 (appraised value) = $3,000 So the buyer will need to bring to closing $4,850 + $3,000 = $7,850

DEBT TO INCOME RATIO The debt to income ratio is a great calculation that every buyer should be aware of and know how to calculate.  It will help them understand how much of a monthly home payment they can afford and still buy groceries and pay other bills.  It compares the gross income with the recurring debt (car payments, child support, student loans, etc). If your buyer’s annual gross income is $65,000 and is using a lender that has a limit of 31% of income used for housing and a 43% total monthly debt limit, what is their maximum monthly house payment they can have and how much additional debt will the lender allow? Housing Calculation (31%) – $65,000 x 31% = $20,150 / 12 months = $1,679 Total Debt Calculation (43%) – $65,000 x 43% – $27,950 / 12 months = $2,329 Total Allowable Debt $2,329 – Housing Debt $1,679 = $650 remaining for other Debt What if the buyer above has $1,100 in monthly debt?  How much will the lender allow for monthly house payments? Total Allowable Debt $2,329 – $1,100 monthly debt = $1,229 remaining for housing.

Proration (Prorating Fees, Taxes, etc.) One common type of math calculation that you will make as a real estate agent is called a proration.  Proration for our purpose here is simply the portion or percentage that the buyer and seller pay/owe for various items at closing, such as HOA fees, taxes and fuel. One common proration calculation is the HOA (Home Owner Association) fees that each the buyer and seller will pay at closing. Let’s look at an example: Closing is May 15th and the HOA fees are $252 for the calendar year.  They are based on the calendar year and have not been paid for the current year.  The buyer and seller must divide up this fee by the amount of time each will be in the home for the current year. Please note: I will use the “Bankers Calendar” which says that each month has 30 days and each year has 360 days (makes it much simpler to remember and was used in my own pre-licensing course). So let’s break this down into smaller steps: First let’s calculate what the daily expense is for HOA fees: Annual fee is $252 divided by 360 days = $0.70/day Now we will calculate the number of days each party will owe for the year The seller will pay for HOA Fees from Jan 1st through May 15th (day of closing) The buyer will pay for HOA Fees from May 16th through December 31st. How may days does the seller have to pay for HOA fees? January through April (30 days x 4 months = 120 days) plus the 15 days in May. 120 days + 15 days = 135 days Now what about the buyer? May 16th through May 30th (30 days – 15 days from seller = 15 days) plus June through December (30 days x 7 months = 210 days) 15 + 210 = 225 days   So as a check, let’s make sure we did it correctly; 135 + 225 = 360 days in a year.  Looks like we’re good! The last thing to do is to multiply the days each person is responsible for by the daily rate: The seller owes 135 days x $0.70 = $94.50 The buyer owes 225 days x $0.70 = $157.50   Now, let’s check the math to make sure that the total $252 get’s paid: $94.50 + $157.50 = $252.00, Yeah!  I am all about checking the math to avoid errors.   Another common example of what prorations will be used for is calculating taxes owed.  So let’s look at a tax example: Let’s say that the property tax for a house is $1,620/annually and have already been paid for by the seller.  Closing is October 24.  Since the taxes have already been paid, the buyer will have to  reimburse the seller for the taxes paid for October 25 through December 31st. To start let’s calculate the daily rate: Taxes are $1,620/annually.  So now we divide $1,620 by 360 days = $4.50/taxes per day Now, how many days will the buyer own the home for this year? All of November and December (30 days x 2 months = 60 days) After closing on October 24th there will be 6 remaining days,  (30 – 24 = 6 days) October 25th through 30th (day of closing goes to the seller). 60 + 6 = 66 days Now we multiply the daily rate of $4.50 x 66 days and $297.00 is what the buyer will pay at closing back to the seller for property taxes.

 

For  more information, visit Travis website at http://www.basictrainingforrealestate.com/

 

Thanks for reading my post!

 

 

Comments (1)

Nathan Gesner
American West Realty and Management - Cody, WY
Broker / Property Manager

It can be boring but it is vital. As a property manager and investor, I have additional calculations that are important regarding investment property. Some are regularly practiced and can be calculated in my head but others are far more complex and require calculators or spreadsheets. I honestly wish I could force myself to take a math class every year to sharpen my skills!

Mar 15, 2017 04:54 AM
Deborah Ann Spence

Yes! Yes! I feel the exact same way. That's also one of the reasons for my post- To also remind myself that I need to be an expert on understanding the numbers. I did take a class last year on Basic Math to start the process of working towards an MBA in Real Estate. It was brutal! I had to get a tutor to help me pass. But great idea!

Mar 15, 2017 04:58 AM
Brandon Miller
None - La Verkin, UT
Observer looking to start in Washington County

Thank you for the amazing information! Math has been my worst subject since elementary school. Having the resource definately helps. 

Jun 14, 2020 02:31 PM

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