Property-Management Math and Operating Budgets for the Texas Real Estate Exam

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Property-management math is the practical side of real estate math.

It is not usually about fancy finance.

It is about reading a small operating story:

• How many units are rented?
• What rent should be collected?
• What rent was actually collected?
• What vacancy loss exists?
• What expenses must be paid?
• What fee does the property manager earn?
• What money is left for the owner?

The mistake candidates make is treating every money number the same.

Do not do that.

On the exam, labels matter.

Potential income is not collected income.
Collected income is not NOI.
NOI is not cash flow after mortgage payments.
Budgeted expense is not always actual expense.

This guide teaches the property-management math you should know for the Texas real estate exam:

• Budgeted income.
• Actual income.
• Vacancy and collection loss.
• Effective gross income.
• Operating expenses.
• Management fees.
• Simple operating budgets.
• Simple income statements.
• Expense ratios.
• Occupancy and vacancy rates.
• Cash flow after debt service.
• Owner statement logic.

Table Of Contents

• What Pearson tests
• Core formula sheet
• The property-management math ladder
• Budget vs actual
• Rental income calculations
• Vacancy and collection loss
• Operating expenses
• Management fees
• Simple income statements
• Owner cash flow
• Worked examples
• Practice set
• Answer key and explanations
• Common mistakes
• FAQ

What Pearson Tests

Pearson VUE's current Texas sales agent content outline lists Real Estate Math Calculations as 7 scored National/General items.

One of those math areas is Property management calculations.

Pearson lists:

• Property management and budget calculations.
• Tenancy and rental calculations.

The same outline also lists property-management concepts under Real Estate Practice, including accounting for funds, property maintenance, leasing property, and collecting rents and security deposits.

So this topic is not a throwaway. It connects math to real brokerage responsibilities.

This article uses original educational examples, not copied exam questions.

Core Formula Sheet

Use this as your property-management math sheet.

Convert percentages:

The Property-Management Math Ladder

Most property-management math follows this ladder:

Potential gross income
minus vacancy and collection loss
= effective gross income
minus operating expenses
= NOI
minus debt service if the question asks for cash flow
= cash flow after debt service

That is the same broad logic you saw in income-property math, but property-management questions often add operating details:

• Rent roll.
• Late rent.
• Vacancy.
• Management fees.
• Repairs.
• Maintenance.
• Utilities.
• Reserves.
• Owner statements.

If the question gives a small income statement, build it in order.

Do not jump straight to the final number.

Budget Vs Actual

A budget is a plan.

An actual statement is what really happened.

Basic variance:

Variance = actual amount - budgeted amount

But the meaning depends on the category.

For income:

• Actual income higher than budget is favorable.
• Actual income lower than budget is unfavorable.

For expenses:

• Actual expense lower than budget is favorable.
• Actual expense higher than budget is unfavorable.

Example:

Budgeted repairs: $12,000
Actual repairs: $15,000

$15,000 - $12,000 = $3,000

Repairs are $3,000 over budget.

That is unfavorable because expenses were higher than planned.

Rental Income Calculations

Rental income can be monthly or annual.

Always check the time period.

Monthly to annual rent

Formula:

Annual rent = monthly rent x 12

Example:

Monthly rent: $1,800

$1,800 x 12 = $21,600

Annual rent: $21,600.

Annual to monthly rent

Formula:

Monthly rent = annual rent / 12

Example:

Annual rent: $30,000

$30,000 / 12 = $2,500

Monthly rent: $2,500.

Rent roll

A rent roll is a list of rented units and their rents.

Example:

Monthly income from one-bedroom units:

6 x $1,200 = $7,200

Monthly income from two-bedroom units:

4 x $1,600 = $6,400

Total monthly rent:

$7,200 + $6,400 = $13,600

Annual rent:

$13,600 x 12 = $163,200

Vacancy And Collection Loss

Vacancy means space that is not rented.

Collection loss means rent that is billed but not collected.

For simple exam math:

Vacancy loss = potential gross income x vacancy rate

Example:

Potential gross income: $240,000
Vacancy rate: 5%

$240,000 x 0.05 = $12,000

Vacancy loss: $12,000.

Effective gross income:

$240,000 - $12,000 = $228,000

Vacancy from units

Formula:

Vacancy rate = vacant units / total units

Example:

Total units: 40
Vacant units: 4

4 / 40 = 0.10

Vacancy rate: 10%.

Occupancy rate:

36 / 40 = 0.90

Occupancy rate: 90%.

Vacancy from rent

Sometimes vacancy is better calculated from lost rent.

Example:

Potential monthly rent: $20,000
Vacant units would have rented for $2,500 per month

$2,500 / $20,000 = 0.125

Vacancy rate by rent: 12.5%.

Use the method the question points you toward.

Operating Expenses

Operating expenses are the ordinary costs of running the property.

Common property-management operating expenses include:

• Repairs.
• Maintenance.
• Utilities paid by the owner.
• Property management fee.
• Advertising.
• Cleaning.
• Landscaping.
• Pest control.
• Insurance.
• Property taxes.
• Accounting or bookkeeping costs.
• Supplies.
• Security.
• Reserves for replacement if the question includes them.

For exam math, use the expenses stated in the problem.

Do not invent expenses.

What usually does not belong in NOI

NOI is before financing.

Unless the question tells you otherwise, do not subtract:

• Mortgage principal.
• Mortgage interest.
• Debt service.
• Owner income taxes.
• Depreciation for tax purposes.
• Owner personal expenses.

If the question asks for cash flow after debt service, then subtract the debt service after NOI.

Expense ratio

Expense ratio compares operating expenses to effective gross income.

Formula:

Expense ratio = operating expenses / effective gross income

Example:

Effective gross income: $180,000
Operating expenses: $63,000

$63,000 / $180,000 = 0.35

Expense ratio: 35%.

Management Fees

Property managers are often paid a fee based on rent or income.

The exam should tell you the fee base.

Do not assume.

Common fee bases:

• Potential rent.
• Scheduled rent.
• Gross rent collected.
• Effective gross income.
• A flat monthly fee.
• Leasing fee or renewal fee if stated.

Percent management fee

Formula:

Management fee = fee base x fee rate

Example:

Collected rent: $18,000
Management fee: 8%

$18,000 x 0.08 = $1,440

Management fee: $1,440.

Fee on collected rent vs scheduled rent

This wording matters.

Scheduled monthly rent: $20,000
Actual collected rent: $18,500
Management fee: 8% of collected rent

$18,500 x 0.08 = $1,480

If the fee were based on scheduled rent:

$20,000 x 0.08 = $1,600

Different base. Different answer.

Leasing fee

Sometimes a problem gives a leasing fee.

Example:

Monthly rent: $2,000
Leasing fee: 50% of one month's rent

$2,000 x 0.50 = $1,000

Leasing fee: $1,000.

Only include a leasing fee if the question gives it.

Simple Income Statements

A simple operating statement may look like this:

Potential gross income
- vacancy and collection loss
= effective gross income
- operating expenses
= NOI

Example:

Potential gross income: $300,000
Vacancy and collection loss: $18,000
Operating expenses: $105,000

Effective gross income:

$300,000 - $18,000 = $282,000

NOI:

$282,000 - $105,000 = $177,000

NOI: $177,000.

Adding a management fee

If the management fee is an operating expense, include it in operating expenses.

Example:

Effective gross income: $240,000
Operating expenses before management fee: $80,000
Management fee: 6% of effective gross income

Management fee:

$240,000 x 0.06 = $14,400

Total operating expenses:

$80,000 + $14,400 = $94,400

NOI:

$240,000 - $94,400 = $145,600

NOI: $145,600.

Owner Cash Flow

Owner cash flow is not always the same as NOI.

NOI is before debt service.

Cash flow after debt service subtracts mortgage payments if the question asks for it.

Formula:

Cash flow after debt service = NOI - debt service

Example:

NOI: $145,600
Annual debt service: $72,000

$145,600 - $72,000 = $73,600

Cash flow after debt service: $73,600.

Owner distribution

An owner statement may include additional deductions.

Example:

Cash collected: $20,000
Operating expenses paid: $6,500
Management fee: $1,600
Reserve contribution: $900

Cash available to owner:

$20,000 - $6,500 - $1,600 - $900 = $11,000

Owner distribution: $11,000.

Use only the deductions stated in the question.

Worked Examples

1. Annual Rent From Monthly Rent

A unit rents for $1,750 per month. What is the annual rent?

$1,750 x 12 = $21,000

Answer: $21,000.

2. Potential Gross Income

A building has 12 units. Each unit rents for $1,400 per month. What is potential gross income for one year?

Monthly potential rent:

12 x $1,400 = $16,800

Annual potential gross income:

$16,800 x 12 = $201,600

Answer: $201,600.

3. Vacancy Loss

Potential gross income is $201,600. Vacancy and collection loss is 5%. What is the loss amount?

$201,600 x 0.05 = $10,080

Answer: $10,080.

4. Effective Gross Income

Using the same facts, what is effective gross income?

$201,600 - $10,080 = $191,520

Answer: $191,520.

5. NOI

Effective gross income is $191,520. Operating expenses are $72,000. What is NOI?

$191,520 - $72,000 = $119,520

Answer: $119,520.

6. Management Fee On Collected Rent

Collected rent is $24,000. The management fee is 7% of collected rent. What is the management fee?

$24,000 x 0.07 = $1,680

Answer: $1,680.

7. Management Fee Base Trap

Scheduled rent is $30,000. Collected rent is $27,000. The manager earns 8% of collected rent. What is the fee?

$27,000 x 0.08 = $2,160

Answer: $2,160.

Do not use scheduled rent when the problem says collected rent.

8. Expense Ratio

Effective gross income is $220,000. Operating expenses are $77,000. What is the expense ratio?

$77,000 / $220,000 = 0.35

Answer: 35%.

9. Occupancy Rate

A property has 50 units. Forty-six are occupied. What is the occupancy rate?

46 / 50 = 0.92

Answer: 92%.

10. Vacancy Rate

Using the same facts, what is the vacancy rate?

Vacant units:

50 - 46 = 4

Vacancy rate:

4 / 50 = 0.08

Answer: 8%.

11. Cash Flow After Debt Service

NOI is $119,520. Annual debt service is $60,000. What is cash flow after debt service?

$119,520 - $60,000 = $59,520

Answer: $59,520.

12. Owner Distribution

Collected rent is $18,000. Repairs are $2,400. Utilities are $1,100. Management fee is $1,440. Reserve contribution is $600. What is the owner distribution?

Total deductions:

$2,400 + $1,100 + $1,440 + $600 = $5,540

Owner distribution:

$18,000 - $5,540 = $12,460

Answer: $12,460.

Practice Set

Try these before reading the answer key.

1. Annual Rent

A unit rents for $1,950 per month. What is the annual rent?

2. Potential Gross Income

A property has 20 units renting for $1,250 per month each. What is annual potential gross income?

3. Vacancy Loss

Annual potential gross income is $300,000. Vacancy and collection loss is 6%. What is the vacancy and collection loss amount?

4. Effective Gross Income

Using the same facts from question 3, what is effective gross income?

5. NOI

Effective gross income is $282,000. Operating expenses are $98,000. What is NOI?

6. Management Fee

Collected rent is $32,000. The management fee is 6% of collected rent. What is the fee?

7. Fee Base

Scheduled rent is $40,000. Collected rent is $37,500. The management agreement says the fee is 5% of collected rent. What is the fee?

8. Leasing Fee

A new tenant signs a lease at $2,400 per month. The leasing fee is 50% of one month's rent. What is the leasing fee?

9. Occupancy Rate

A property has 80 units. Seventy-two are occupied. What is the occupancy rate?

10. Vacancy Rate

Using the same facts from question 9, what is the vacancy rate?

11. Expense Ratio

Effective gross income is $360,000. Operating expenses are $126,000. What is the expense ratio?

12. Budget Variance For Income

Budgeted rental income was $25,000. Actual rental income was $23,500. What is the variance, and is it favorable or unfavorable?

13. Budget Variance For Expenses

Budgeted maintenance expense was $8,000. Actual maintenance expense was $6,750. What is the variance, and is it favorable or unfavorable?

14. Income Statement

Potential gross income is $420,000. Vacancy and collection loss is $25,000. Operating expenses are $155,000. What is NOI?

15. Management Fee In NOI

Effective gross income is $300,000. Operating expenses before management fee are $110,000. Management fee is 5% of effective gross income. What is NOI?

16. Cash Flow After Debt Service

NOI is $175,000. Annual debt service is $92,000. What is cash flow after debt service?

17. Owner Distribution

Collected rent is $22,000. Operating expenses paid are $7,400. Management fee is $1,540. Reserve contribution is $800. What is owner distribution?

18. Collection Loss

Rent billed is $18,000. Rent collected is $16,650. What is collection loss?

19. Collection Rate

Using the same facts from question 18, what percentage of billed rent was collected?

20. Debt Service Trap

Effective gross income is $250,000. Operating expenses are $90,000. Annual mortgage payments are $70,000. If the question asks for NOI, what is the answer?

Answer Key And Explanations

1. Annual Rent

$1,950 x 12 = $23,400

Answer: $23,400.

2. Potential Gross Income

Monthly potential rent:

20 x $1,250 = $25,000

Annual potential gross income:

$25,000 x 12 = $300,000

Answer: $300,000.

3. Vacancy Loss

$300,000 x 0.06 = $18,000

Answer: $18,000.

4. Effective Gross Income

$300,000 - $18,000 = $282,000

Answer: $282,000.

5. NOI

$282,000 - $98,000 = $184,000

Answer: $184,000.

6. Management Fee

$32,000 x 0.06 = $1,920

Answer: $1,920.

7. Fee Base

$37,500 x 0.05 = $1,875

Answer: $1,875.

The problem says collected rent, so do not use scheduled rent.

8. Leasing Fee

$2,400 x 0.50 = $1,200

Answer: $1,200.

9. Occupancy Rate

72 / 80 = 0.90

Answer: 90%.

10. Vacancy Rate

Vacant units:

80 - 72 = 8

Vacancy rate:

8 / 80 = 0.10

Answer: 10%.

11. Expense Ratio

$126,000 / $360,000 = 0.35

Answer: 35%.

12. Budget Variance For Income

$23,500 - $25,000 = -$1,500

Actual income was $1,500 below budget.

Answer: $1,500 unfavorable.

13. Budget Variance For Expenses

$6,750 - $8,000 = -$1,250

Actual expense was $1,250 below budget.

Answer: $1,250 favorable.

14. Income Statement

Effective gross income:

$420,000 - $25,000 = $395,000

NOI:

$395,000 - $155,000 = $240,000

Answer: $240,000.

15. Management Fee In NOI

Management fee:

$300,000 x 0.05 = $15,000

Total operating expenses:

$110,000 + $15,000 = $125,000

NOI:

$300,000 - $125,000 = $175,000

Answer: $175,000.

16. Cash Flow After Debt Service

$175,000 - $92,000 = $83,000

Answer: $83,000.

17. Owner Distribution

Total deductions:

$7,400 + $1,540 + $800 = $9,740

Owner distribution:

$22,000 - $9,740 = $12,260

Answer: $12,260.

18. Collection Loss

$18,000 - $16,650 = $1,350

Answer: $1,350.

19. Collection Rate

$16,650 / $18,000 = 0.925

Answer: 92.5%.

20. Debt Service Trap

NOI excludes mortgage payments.

$250,000 - $90,000 = $160,000

Answer: $160,000.

Common Mistakes

Mistake 1: Using Potential Income As Collected Income

Potential gross income assumes everything is rented and collected.

If the problem gives vacancy or collection loss, subtract it before calculating effective gross income.

Mistake 2: Subtracting Debt Service From NOI

NOI is before mortgage payments.

Subtract debt service only when the question asks for cash flow after debt service or a similar owner-level number.

Mistake 3: Using The Wrong Management Fee Base

Read the fee base.

If the fee is based on collected rent, use collected rent.

If the fee is based on scheduled rent, use scheduled rent.

If the fee is based on effective gross income, use effective gross income.

Mistake 4: Treating Every Expense As Operating Expense

Operating expenses are property operating costs.

Owner personal expenses, income taxes, and debt service usually do not belong in NOI unless the problem asks for a different calculation.

Mistake 5: Confusing Vacancy Rate With Occupancy Rate

If 92% of units are occupied, vacancy is 8%.

The two should usually add up to 100%.

Mistake 6: Reading Budget Variance Backwards

Higher income than budget is favorable.

Lower expenses than budget are favorable.

Lower income or higher expenses are unfavorable.

Mistake 7: Mixing Monthly And Annual Numbers

Monthly rent must be annualized if the question asks for annual income.

Annual expenses must be divided by 12 if the question asks for monthly owner statements.

The time period has to match.

How To Study This Topic

Use a simple five-pass drill.

Pass 1: Rent And Time Periods

Practice monthly to annual and annual to monthly rent conversions.

Pass 2: Vacancy And Occupancy

Practice:

Vacancy rate = vacant units / total units
Occupancy rate = occupied units / total units

Then practice vacancy loss from potential income.

Pass 3: Management Fees

Practice fee base wording:

• Collected rent.
• Scheduled rent.
• Effective gross income.
• Flat fee.
• Leasing fee.

Pass 4: Income Statements

Write this ladder until it feels automatic:

Potential gross income
- vacancy and collection loss
= effective gross income
- operating expenses
= NOI

Pass 5: Owner Cash Flow

Only after NOI, practice:

NOI - debt service = cash flow after debt service

That order keeps the concepts separate.

Where This Fits In The Texas Math Cluster

Property-management math ties together income, expenses, rent, vacancy, and owner statements.

FAQ

What is property-management math on the Texas real estate exam?

Property-management math includes management budgets, rental calculations, vacancy, collections, operating expenses, management fees, and simple income statements. Pearson lists property management and budget calculations plus tenancy and rental calculations under Real Estate Math Calculations.

What is potential gross income?

Potential gross income is the income a property would produce if all rent were collected with no vacancy or collection loss.

What is effective gross income?

Effective gross income is potential gross income minus vacancy and collection loss.

What is NOI in property-management math?

NOI is effective gross income minus operating expenses. It is before mortgage payments and owner income taxes.

Are management fees operating expenses?

They can be treated as operating expenses when the problem includes them in an operating statement or asks for NOI after management fees. Use the wording in the question.

How do I calculate a property-management fee?

Multiply the fee base by the fee rate. If collected rent is $20,000 and the fee is 8% of collected rent, the fee is $1,600.

What is the difference between an operating budget and an income statement?

An operating budget is a plan for expected income and expenses. An income statement or operating statement shows income and expenses for a period. In exam math, both may use the same labels, but one is expected and the other is actual.

Does NOI subtract the mortgage payment?

No. NOI is before debt service. If the question asks for cash flow after debt service, subtract mortgage payments after calculating NOI.

Should I practice this in the app?

Yes. Property-management math is mostly about repetition and labels. The Texas real estate exam prep app gives you original property-management budget, vacancy, rent collection, management fee, operating expense, NOI, and owner cash-flow practice with explanations. Native Texas exam prep. Original questions. No copied exam questions. Not affiliated with TREC or Pearson VUE. Not a 180-hour pre-license course or a pass guarantee.

Are these copied exam questions?

No. The examples and practice questions in this article are original educational practice questions. The Texas real estate exam prep app also uses original questions. Native Texas exam prep. Original questions. No copied exam questions. Not affiliated with TREC or Pearson VUE. Not a 180-hour pre-license course or a pass guarantee.

Verification Note

This article was verified against the current Pearson VUE Texas real estate content outline and candidate handbook.

It is for educational exam prep, not legal, tax, accounting, property-management, brokerage, or investment advice. Real operating budgets and owner statements can involve trust accounting rules, lease terms, reserves, capital expenditures, taxes, insurance, debt service, and local practices beyond simple exam math. For the Texas real estate exam, use the numbers and instructions in the question.

Sources

• Pearson VUE: Texas Real Estate Content Outlines
• Pearson VUE: Texas Real Estate Candidate Handbook