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Income-property math guide

Net operating income through a clean income waterfall

NOI is not found by subtracting every cost attached to ownership. It measures the property's operations before financing and owner tax choices. Walk from full income to collected income, then subtract the costs required to operate the real estate. Stop before the mortgage enters the picture. On exam day, write the income waterfall vertically. That small habit makes it easier to see whether a vacancy loss should be subtracted, whether parking income still needs to be added, and whether an expense belongs above or below NOI.

Last updated: August 1, 2026

What calculation do you need to make?

Short answer: Potential gross income represents full stated income before vacancy. Vacancy and collection loss are subtracted and qualifying other property income is added to reach effective gross income. NOI equals EGI minus allowable property operating expenses under the problem's convention. Standard NOI is before mortgage principal and interest, owner income taxes, accounting or tax depreciation, and investor distributions. Major capital expenditures generally sit outside ordinary NOI, while replacement-reserve treatment follows the stated convention. Use annual NOI with an annual capitalization rate. To find missing expenses, subtract NOI from EGI; to find value, divide stabilized annual NOI by a decimal market cap rate.

Official section
National XI.G: Net Operating Income
Broker weight
A named valuation and calculation skill
Expected scored items
The current PSI outline tests NOI through Valuation and related Real Estate Math concepts

Exam NOI problems simplify leases, concessions, expense recoveries, tenant reimbursements, vacancy, management, reserves, capital needs, and stabilization. Actual appraisal, lending, tax, and investment analyses can define and normalize income differently for their purposes. A Schedule E result is not automatically appraisal NOI, and an owner's decision to self-manage does not prove zero market management expense. Concessions may appear as an income reduction, reimbursements may appear as income with a matching expense, and replacement reserves may sit above or below the reported NOI depending on the stated convention. Use the income level, expense definition, reserve policy, period, and capitalization-rate basis stated in the problem. This is exam preparation, not appraisal, banking, tax, accounting, or investment advice. Sources were checked through August 1, 2026.

How do you calculate net operating income?

  1. Name the starting income level and annualize every recurring rent and other-income amount.
  2. Apply vacancy and collection loss to the exact income base stated in the question, and convert the percentage to a dollar loss before continuing down the waterfall.
  3. Add recurring other property income only when it has not already been included in PGI.
  4. Total fixed, variable, management, and other operating expenses under the problem's definitions.
  5. Apply the stated replacement-reserve convention and keep one-time capital items separate unless directed.
  6. Subtract operating expenses from EGI and stop at NOI before debt service, owner tax, and accounting depreciation.
  7. Use annual NOI with an annual cap rate or annual debt service and avoid mixing actual, forecast, and stabilized periods.
  8. Reverse-check missing expenses or income carefully, preserve every intermediate dollar subtotal, and label the result as property NOI rather than profit, taxable income, or investor cash flow.
Line
Potential gross rent
Formula or treatment
Units x rent x 12
Exam safeguard
Full stated occupancy
Line
Vacancy loss
Formula or treatment
Stated income base x vacancy rate
Exam safeguard
Subtract the loss
Line
Effective gross income
Formula or treatment
PGI - vacancy and loss + other income
Exam safeguard
Do not add other income twice
Line
Operating expenses
Formula or treatment
Fixed + variable + management + stated reserve
Exam safeguard
Exclude financing
Line
NOI
Formula or treatment
EGI - operating expenses
Exam safeguard
Before debt service
Line
Missing expenses
Formula or treatment
EGI - NOI
Exam safeguard
Use same period
Line
Expense ratio
Formula or treatment
Operating expenses / EGI x 100
Exam safeguard
Not cap rate
Line
Before-tax cash flow
Formula or treatment
NOI - debt service
Exam safeguard
Below NOI
Line
Cap rate
Formula or treatment
Annual NOI / value x 100
Exam safeguard
Use annual stabilized NOI
Line
Value
Formula or treatment
Annual NOI / decimal cap rate
Exam safeguard
Rate and income definitions match

Can you follow the calculation from facts to answer?

Build NOI from the top line

Scenario: Potential annual rent is $240,000. Vacancy and collection loss equal 5% of rent, other income is $8,000, and operating expenses are $86,000.

  1. Vacancy and collection loss are $240,000 x 0.05 = $12,000.
  2. EGI is $240,000 - $12,000 + $8,000 = $236,000.
  3. NOI is $236,000 - $86,000 = $150,000.

Answer: The property's annual NOI is $150,000.

Calculate management from EGI

Scenario: A property has EGI of $210,000. Management is 6% of EGI, and other operating expenses are $70,400. What is NOI?

  1. Management expense is $210,000 x 0.06 = $12,600.
  2. Total operating expenses are $12,600 + $70,400 = $83,000.
  3. NOI is $210,000 - $83,000 = $127,000.

Answer: Annual NOI is $127,000.

Recover missing operating expenses

Scenario: A property has EGI of $185,000 and NOI of $112,000. What operating-expense total is implied?

  1. Use operating expenses equals EGI minus NOI.
  2. $185,000 - $112,000 = $73,000.
  3. No vacancy adjustment is needed because EGI is already supplied.

Answer: Implied annual operating expenses are $73,000.

Keep debt service below NOI

Scenario: EGI is $310,000, operating expenses are $115,000, and annual mortgage debt service is $92,000. Find NOI and simplified before-tax cash flow.

  1. NOI is $310,000 - $115,000 = $195,000.
  2. Debt service is not an operating expense.
  3. Before-tax cash flow is $195,000 - $92,000 = $103,000.

Answer: NOI is $195,000 and simplified before-tax cash flow is $103,000.

Handle a capital project correctly

Scenario: EGI is $180,000, recurring operating expenses are $68,000, and the owner pays $90,000 for a major roof replacement. The exam problem classifies the roof as a capital expenditure and gives no annual reserve.

  1. Use the problem's classification rather than putting the full roof project into recurring operations.
  2. NOI is $180,000 - $68,000 = $112,000.
  3. The $90,000 project affects capital cash needs outside this simplified NOI.

Answer: NOI is $112,000 under the stated convention.

Use NOI to indicate value

Scenario: A stabilized annual NOI of $96,000 is paired with a supported 7.5% overall capitalization rate. What value is indicated?

  1. Convert 7.5% to 0.075.
  2. $96,000 / 0.075 = $1,280,000.
  3. The result depends on NOI and rate being defined consistently.

Answer: The direct-capitalization indication is $1,280,000.

Which math errors cost the most points?

Trap
Call potential gross income NOI.
Correction
First account for vacancy, other income, and operating expenses.
Trap
Subtract the vacancy percentage from income as a dollar amount.
Correction
Multiply the correct income base by the decimal rate to find dollar loss.
Trap
Add other income twice.
Correction
Read whether the problem includes it inside PGI before adding it to reach EGI.
Trap
Use an expense percentage on the wrong income base.
Correction
Apply management or another percentage to PGI, EGI, or collected rent exactly as stated.
Trap
Subtract mortgage principal and interest in NOI.
Correction
Debt service is owner financing and belongs below standard property-level NOI.
Trap
Subtract accounting depreciation from NOI.
Correction
Depreciation can affect taxable income but is excluded from standard appraisal NOI.
Trap
Treat a major addition as an ordinary annual expense.
Correction
Use the stated capital or reserve convention rather than distorting one year's operations.
Trap
Assume owner self-management means zero management expense.
Correction
A stabilized analysis may include a supported market management cost even without a current payment.
Trap
Use monthly NOI with an annual cap rate.
Correction
Annualize NOI before using an annual capitalization relationship.
Trap
Treat Schedule E net income as appraisal NOI.
Correction
Tax reporting and appraisal NOI use different expense and depreciation conventions.
Trap
Call NOI cash flow after debt service.
Correction
NOI is before financing; after-debt cash flow subtracts debt service later.
Trap
Assume a higher NOI alone proves a better property.
Correction
Value, risk, growth, leases, condition, capital needs, and the income period still matter.

Can you solve these original problems?

These questions are original study items aligned to the published outline. They are not copied, recalled, or predicted PSI questions.

1. PGI is $200,000, vacancy and collection loss are 5% of PGI, other income is $10,000, and operating expenses are $70,000. What is NOI?

  1. $130,000
  2. $120,000
  3. $140,000
  4. $190,000
Show answer and explanation

Answer: $130,000

Vacancy is $10,000, EGI is $200,000, and NOI is $200,000 - $70,000 = $130,000.

2. EGI is $180,000 and operating expenses are $72,000. What is NOI?

  1. $108,000
  2. $252,000
  3. $72,000
  4. $2,500
Show answer and explanation

Answer: $108,000

$180,000 - $72,000 = $108,000.

3. Which item is normally excluded from standard property-level NOI?

  1. Mortgage debt service
  2. Property insurance
  3. Management expense
  4. Owner-paid utilities
Show answer and explanation

Answer: Mortgage debt service

Owner financing is subtracted below NOI when a later cash-flow measure is requested.

4. EGI is $150,000 and NOI is $90,000. What operating expenses are implied?

  1. $60,000
  2. $240,000
  3. $90,000
  4. $45,000
Show answer and explanation

Answer: $60,000

$150,000 - $90,000 = $60,000.

5. Which income measure belongs in the standard direct-capitalization formula?

  1. Annual stabilized NOI
  2. Monthly gross rent
  3. Seller net proceeds
  4. Mortgage loan amount
Show answer and explanation

Answer: Annual stabilized NOI

Direct capitalization divides annual NOI by a consistent overall capitalization rate.

Which numbers and formulas are easy to confuse?

Terms
Potential gross rent vs. PGI
Difference
Potential gross rent concerns full rental income. PGI can include a broader potential-income definition when the problem says so.
Question cue
Rent-only potential versus stated total potential.
Terms
PGI vs. EGI
Difference
PGI reflects full stated potential. EGI reflects vacancy and collection loss and includes qualifying other income.
Question cue
Full potential versus expected collected income.
Terms
EGI vs. NOI
Difference
EGI is before operating expenses. NOI is the remainder after operating expenses.
Question cue
Collected revenue versus property operating income.
Terms
Operating expense vs. debt service
Difference
Operating expense supports property operation. Debt service pays owner-specific financing.
Question cue
Property cost versus loan cost.
Terms
Repair vs. capital expenditure
Difference
A repair ordinarily maintains current operation. A capital expenditure adds or replaces a long-lived asset or benefit.
Question cue
Recurring upkeep versus long-lived investment.
Terms
Capital expenditure vs. reserve
Difference
A capital expenditure is a project outlay. A reserve is a periodic allowance for anticipated replacement under a stated convention.
Question cue
Actual project cash versus annualized allowance.
Terms
NOI vs. before-tax cash flow
Difference
NOI is before financing. Before-tax cash flow subtracts stated debt service and other below-NOI cash items.
Question cue
Property operation versus equity cash flow.
Terms
NOI vs. taxable rental income
Difference
NOI follows valuation or underwriting conventions. Taxable income follows tax rules, including deductions that NOI excludes.
Question cue
Valuation measure versus tax result.
Terms
Actual NOI vs. stabilized NOI
Difference
Actual NOI reflects one recorded period. Stabilized NOI represents normal sustainable operation under supported assumptions.
Question cue
Historical result versus normalized expectation.
Terms
NOI vs. GRM rent
Difference
NOI is after operating expenses and pairs with cap rate. GRM uses gross rent before explicit expense deduction.
Question cue
Net-income rate input versus gross-rent multiplier input.

What does the outline expect you to calculate?

Topic
Income-property setting
What to know
Rental property, investor, rent roll, lease, income approach, anticipated benefit, operations, income, expense, NOI, value, market participant, and effective date
Best exam move
Use the income waterfall when the property is analyzed for its earning capacity.
Topic
Potential gross rent
What to know
Unit count, monthly rent, annual rent, contract rent, market rent, occupied unit, vacant unit, scheduled rent, full occupancy, full collection, and annualization
Best exam move
Multiply each recurring monthly rent by 12 and include the units required by the premise.
Topic
Potential gross income
What to know
PGI, potential gross rent, other income convention, full income, reimbursements, percentage rent, parking, storage, laundry, vending, signage, and definition
Best exam move
Read whether other income is already inside PGI before adding it later.
Topic
Vacancy loss
What to know
Physical vacancy, economic vacancy, downtime, unleased unit, occupancy, stabilized vacancy rate, potential rent, market rate, dollar loss, and subtraction
Best exam move
Multiply the stated vacancy rate by the income base identified in the problem.
Topic
Collection loss
What to know
Nonpayment, bad debt, delinquency, credit loss, concession, free rent, economic vacancy, collected amount, allowance, percentage, and income base
Best exam move
Combine vacancy and collection loss only when the problem gives one combined allowance.
Topic
Other property income
What to know
Parking, storage, laundry, vending, pet fee, application fee, late fee, utility reimbursement, antenna, billboard, service income, and recurring amount
Best exam move
Add only qualifying property income that has not already been counted in PGI.
Topic
Effective gross income
What to know
EGI, PGI, vacancy, collection loss, other income, occupancy-adjusted income, collected revenue, annual amount, operating statement, and subtotal
Best exam move
Use PGI minus vacancy and collection loss plus stated other income.
Topic
Fixed operating expenses
What to know
Property tax, property insurance, license, permit, recurring contract, base fee, annual obligation, fixed cost, occupancy independence, and operating expense
Best exam move
Subtract fixed operating costs even when the building's actual occupancy changes, if the problem includes them.
Topic
Variable operating expenses
What to know
Management, owner-paid utility, cleaning, payroll, supplies, repair, maintenance, landscaping, trash, security, advertising, turnover, and occupancy-sensitive cost
Best exam move
Use the dollar amount or percentage base stated and avoid applying the same percentage twice.
Topic
Management expense
What to know
Management fee, percentage of EGI, percentage of collected rent, owner management, market expense, contract fee, leasing, supervision, and normalization
Best exam move
Calculate management from the exact income base stated, even when the current owner does not write a management check.
Topic
Repairs and maintenance
What to know
Routine repair, preventive maintenance, recurring service, painting, cleaning, landscaping, minor replacement, deferred maintenance, ordinary operation, and annual expense
Best exam move
Include ordinary recurring upkeep but separate major long-lived improvements under the problem's convention.
Topic
Replacement reserves
What to know
Reserve for replacement, annual allowance, short-lived component, roof, equipment, appliance, recurring capital need, appraisal convention, lender convention, included reserve, and excluded reserve
Best exam move
Follow the stated reserve policy because appraisal and lending presentations can differ.
Topic
NOI formula
What to know
Effective gross income, operating expenses, subtraction, annual net operating income, property-level result, stabilized NOI, actual NOI, forecast NOI, and capitalization numerator
Best exam move
Subtract the supported operating-expense subtotal from EGI and stop before financing.
Topic
Debt service exclusion
What to know
Mortgage principal, mortgage interest, annual debt service, amortization, owner leverage, lender, loan amount, interest rate, before-tax cash flow, and property operations
Best exam move
Subtract debt service after NOI only when the question asks for a cash-flow or coverage result.
Topic
Tax and accounting exclusions
What to know
Owner income tax, depreciation, amortization, capital gain, entity tax, tax return, Schedule E, interest deduction, taxable income, and book income
Best exam move
Do not import tax-return deductions into appraisal NOI without an express reconciliation.
Topic
Capital expenditure boundary
What to know
Addition, renovation, roof replacement, major equipment, tenant improvement, leasing commission, long-lived asset, capital budget, annual expense, reserve, and cost recovery
Best exam move
Keep a one-time capital project outside simplified operating expenses unless the problem directs a reserve or normalized charge.
Topic
NOI and capitalization
What to know
Annual NOI, overall capitalization rate, value, NOI divided by value, value equals NOI divided by rate, decimal percentage, market rate, and direct capitalization
Best exam move
Use a stabilized annual NOI that is defined consistently with the selected market rate.
Topic
NOI checking and normalization
What to know
Actual year, stabilized year, forecast year, one-time income, one-time expense, owner-paid service, below-market contract, market rent, lease-up, expense ratio, and reasonableness
Best exam move
Identify unusual items and use the period or stabilized assumptions supplied rather than mixing years.

How should you drill this calculation?

Session
Session 1
Focus
Build the income waterfall
Proof you are ready
Calculate PGI, vacancy and collection loss, other income, and EGI in 20 scenarios.
Session
Session 2
Focus
Classify operating expenses
Proof you are ready
Sort 50 property, owner, financing, tax, capital, and tenant items above or below NOI with a reason.
Session
Session 3
Focus
Calculate NOI
Proof you are ready
Solve 20 complete and 15 missing-expense or missing-income NOI problems.
Session
Session 4
Focus
Handle percentages and reserves
Proof you are ready
Apply vacancy, management, variable-expense, and stated reserve percentages to the correct bases in 20 problems.
Session
Session 5
Focus
Connect NOI to value and cash flow
Proof you are ready
Solve 15 cap-rate values and 15 after-debt cash-flow calculations without moving debt service above NOI.
Session
Session 6
Focus
Complete a mixed NOI set
Proof you are ready
Score at least 90% and justify each answer by income level, percentage base, other income, operating classification, reserve rule, period, and conclusion.

Do not count recognition as mastery. Close the notes and explain the rule, apply it to a new fact pattern, and identify why each distractor fails.

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From concept to decision

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Questions students ask about Net Operating Income Formula and Examples

What is the net operating income formula?

NOI equals effective gross income minus property operating expenses. A common exam waterfall is potential gross income minus vacancy and collection loss plus qualifying other property income, then minus operating expenses. Keep every amount on the same annual or monthly basis.

What is potential gross income?

Potential gross income, or PGI, represents the full income potential under the rent and occupancy assumptions stated by the problem. It commonly begins with scheduled or market rent at full occupancy and full collection before vacancy and collection loss.

What is effective gross income?

Effective gross income, or EGI, is the income level after vacancy and collection loss and after adding qualifying other property income under the stated convention. If a problem already includes other income in PGI, do not add it again.

Which expenses are included in NOI?

Typical exam operating expenses can include property taxes, property insurance, management, owner-paid utilities, payroll, cleaning, security, advertising, licenses, supplies, recurring repairs, and routine maintenance. Use the facts and definitions stated in the problem.

Is mortgage debt service included in NOI?

No under the standard property-level formula. Mortgage principal and interest depend on owner financing. NOI is before debt service. Subtract debt service later if the question asks for before-tax cash flow or a debt-coverage measure.

Is depreciation included in NOI?

Accounting or tax depreciation is excluded from standard appraisal NOI. It can reduce taxable rental income, but it is a noncash tax or accounting allocation rather than a property operating outlay in the basic valuation formula.

Are capital expenditures included in NOI?

Major additions and long-lived replacements are generally treated as capital items rather than ordinary annual operating expenses. Replacement-reserve treatment varies by assignment and market convention. Follow the question's express instruction instead of assuming every capital cost or reserve belongs above NOI.

How do you find missing operating expenses?

Subtract NOI from EGI. If EGI is $180,000 and NOI is $108,000, operating expenses are $72,000. Do not subtract NOI from PGI when vacancy or other income also appears in the problem.

Is NOI the same as profit or cash flow?

No. NOI is property income before financing, owner income taxes, and accounting depreciation. Profit, taxable income, and investor cash flow can include debt service, capital spending, tax items, sale costs, and other facts outside the standard NOI calculation.

Are these official Illinois broker exam questions?

No. They are original calculations aligned to the PSI broker outline effective June 24, 2026. Current federal banking and housing valuation guidance, current Fannie Mae guidance, and current IRS rental-income materials were checked through August 1, 2026.

Primary sources

The current official outline controls the tested scope. Statutes, regulations, and official agency materials control when a general study rule and a jurisdiction-specific rule differ.

Editorial status

Checked against primary sources

The Pass Illinois editorial team last checked this guide on August 1, 2026. Every practice question is an original study item, and the source links above let you verify the rules that support the lesson.

Read our editorial and corrections process

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