Texas Real Estate Exam Math: Commission, Proration & Financing
Work through the math problems on the Texas real estate exam — commission calculations, proration, loan calculations, and community property scenarios.
The Texas real estate exam includes math questions in both the national and Texas sections. Unlike Florida, there are no documentary stamp taxes — but Texas has its own math scenarios including community property calculations.
Commission Calculations
Example 1: A property sells for $520,000. The listing broker charges 5.5%. The listing side splits 50% with the buyer's broker. The listing agent earns 55% of the listing side. How much does the listing agent earn?
- Total commission: $520,000 × 0.055 = $28,600
- Listing side: $28,600 ÷ 2 = $14,300
- Agent share: $14,300 × 0.55 = $7,865
Example 2: A seller wants to net $380,000 after paying a 6% commission. What must the property sell for? - Net = Sale Price × (1 - 0.06) = Sale Price × 0.94 - Sale Price = $380,000 ÷ 0.94 = $404,255.32
Proration
Texas exams use a 365-day year for proration (unlike Florida's 360-day year). Always note which year the exam specifies.
Property tax proration (Texas property taxes paid in arrears): - Annual taxes: $5,475 | Closing date: June 15 - Daily rate: $5,475 ÷ 365 = $15/day - Days seller owned (Jan 1 to June 15): 31 + 28 + 31 + 30 + 31 + 15 = 166 days - Seller's credit to buyer: 166 × $15 = $2,490
Loan Calculations
Loan-to-Value (LTV): - $400,000 purchase price, 20% down payment - Down payment: $80,000 | Loan: $320,000 - LTV: $320,000 ÷ $400,000 = 80% (no PMI at exactly 80%)
Monthly Payment Estimation (exam may provide amortization factors): - Loan: $300,000 at 7% for 30 years - Using factor of $6.65 per $1,000: $300,000 ÷ 1,000 × $6.65 = $1,995/month
Option Period Math
The Texas option period requires a negotiated option fee paid directly to the seller (not held in escrow). It is earned immediately upon delivery.
Example: Buyer pays $300 option fee for 10-day option period. Buyer terminates on day 7. Who gets the option fee? Answer: The seller keeps the $300 — option fees are non-refundable. The earnest money (held in escrow) is returned to the buyer upon proper termination.
Community Property Math
Texas is one of 9 community property states. Property acquired during marriage is generally community property owned 50/50.
Exam scenario: Married couple divorces. Community property house has a market value of $450,000. Outstanding mortgage: $180,000. Each spouse's interest is: - Equity: $450,000 - $180,000 = $270,000 - Each spouse's share: $270,000 ÷ 2 = $135,000
Capitalization Rate
Example: A commercial property generates $72,000 NOI annually. Similar properties sell at a 7.2% cap rate. What is the property's value? - Value = NOI ÷ Cap Rate = $72,000 ÷ 0.072 = $1,000,000
[Practice Texas math at CARealestate.com/states/texas](https://carealestate.com/states/texas)
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