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Income-property math guide

Gross rent multiplier with matching rent periods

GRM is quick because it asks only how sale price relates to gross rent. That speed is also its weakness. Before using the formula, label the rent as monthly or annual and confirm that the subject and comparable use the same kind of gross rent. One mismatched label can move the answer by a factor of 12.

Last updated: August 1, 2026

What calculation do you need to make?

Short answer: GRM equals comparable sale price divided by comparable gross rent. Indicated subject value equals subject gross rent times the selected GRM. Implied rent equals value divided by GRM. Monthly price divided by monthly rent produces a monthly GRM; price divided by annual rent produces an annual GRM. Monthly GRM equals annual GRM times 12 when both use the same underlying rent. GRM is a multiplier, not a percentage. It uses gross rent rather than NOI and does not explicitly account for vacancy or operating expenses, so comparable income definitions and expense relationships must be reasonably consistent.

Official section
National XI.F: Gross Rent and Gross Income Multipliers
Broker weight
A named skill within 7% of the national portion
Expected scored items
The current PSI broker outline assigns about 7 of 100 scored national items to Real Estate Math

The PSI outline expressly names gross rent and gross income multipliers. Exam questions often provide one comparable and a clean rent figure. Actual valuation requires a defined interest and effective date, verified sale and rent data, comparable market evidence, consistent property rights, and analysis of location, condition, tenancy, concessions, vacancy, expenses, and other differences. An analyst also checks whether utilities, furniture, parking, or services are bundled into rent and whether unusual financing, related parties, personal property, or sale concessions affected the comparable price. A recorded price and an advertised rent are not automatically reliable inputs. Several relevant sales can expose a defensible range and reveal an outlier that one apparently simple comparable would conceal during final reconciliation. GRM is a simplified screening or valuation tool, not a complete appraisal, investment recommendation, or universal market rule. Sources were checked through August 1, 2026.

How do you solve GRM questions?

  1. Box the unknown: multiplier, subject value, missing rent, monthly GRM, or annual GRM.
  2. Label every rent as monthly or annual and identify whether it is rent only or a broader gross-income figure.
  3. For a comparable, divide verified sale price by that comparable's consistent gross rent.
  4. For the subject, multiply consistent subject rent by the selected market GRM.
  5. To find missing rent, divide value by the GRM and preserve the multiplier's time period.
  6. When several comparables are supplied, calculate each GRM separately, identify outliers, and follow the selection instruction.
  7. Keep GRM as a multiplier and never substitute NOI, cap rate, vacancy loss, or expense ratio into the formula.
  8. Reverse-check the arithmetic and confirm that the rent period, income line, and output unit all match.
Unknown
Monthly GRM
Formula
Price / monthly gross rent
Exam safeguard
Label as monthly
Unknown
Annual GRM
Formula
Price / annual gross rent
Exam safeguard
Label as annual
Unknown
GRM value
Formula
Subject gross rent x selected GRM
Exam safeguard
Match rent period
Unknown
Implied gross rent
Formula
Value / selected GRM
Exam safeguard
State monthly or annual
Unknown
Annual rent
Formula
Monthly rent x 12
Exam safeguard
Do not multiply GRM too
Unknown
Monthly rent
Formula
Annual rent / 12
Exam safeguard
Use same income definition
Unknown
Annual GRM from monthly
Formula
Monthly GRM / 12
Exam safeguard
Same property and rent
Unknown
Monthly GRM from annual
Formula
Annual GRM x 12
Exam safeguard
Same property and rent
Unknown
Comparable range
Formula
Lowest through highest extracted GRM
Exam safeguard
Inspect outliers
Unknown
Cap-rate input
Formula
Annual NOI, not gross rent
Exam safeguard
Use a different formula

Can you follow the calculation from facts to answer?

Extract and apply a monthly GRM

Scenario: A comparable sold for $360,000 and rents for $3,000 per month. The subject's consistent monthly rent is $3,250.

  1. Comparable monthly GRM is $360,000 / $3,000 = 120.
  2. Subject value indication is $3,250 x 120 = $390,000.
  3. Both rents use the same monthly period.

Answer: The indicated subject value is $390,000.

Convert monthly GRM to annual GRM

Scenario: A property sells for $480,000 and rents for $4,000 per month. Find both monthly and annual GRM.

  1. Monthly GRM is $480,000 / $4,000 = 120.
  2. Annual rent is $4,000 x 12 = $48,000.
  3. Annual GRM is $480,000 / $48,000 = 10, which also equals 120 / 12.

Answer: Monthly GRM is 120 and annual GRM is 10.

Recover missing monthly rent

Scenario: A property has an indicated value of $420,000 under a selected monthly GRM of 140. What monthly gross rent is implied?

  1. Use rent equals value divided by GRM.
  2. $420,000 / 140 = $3,000.
  3. Because the multiplier is monthly, the answer is monthly rent.

Answer: The implied monthly gross rent is $3,000.

Reconcile a three-sale GRM range

Scenario: Three comparable monthly GRMs are 118, 121, and 145. The problem says the third sale has an unusual below-market lease and instructs you to rely on the two similar sales. Subject monthly rent is $3,500.

  1. The relevant GRMs are 118 and 121, while 145 is identified as less comparable.
  2. If the question directs an equal average of the two, selected GRM is (118 + 121) / 2 = 119.5.
  3. $3,500 x 119.5 = $418,250.

Answer: The instructed GRM indication is $418,250.

Catch a factor-of-12 mistake

Scenario: A student applies an annual GRM of 10 directly to monthly rent of $4,000 and reports $40,000 value.

  1. The annual multiplier requires annual rent.
  2. Annual rent is $4,000 x 12 = $48,000.
  3. $48,000 x 10 = $480,000, which matches a monthly GRM of 120.

Answer: The correct indicated value is $480,000, not $40,000.

Recognize the expense limitation

Scenario: The subject and comparable each collect $60,000 in annual gross rent, but the subject pays substantially more for owner-provided utilities and repairs.

  1. GRM sees the same gross rent but does not explicitly subtract either property's expenses.
  2. The comparable multiplier can overstate subject value when the subject's expense burden is materially higher.
  3. An NOI-based analysis provides a better cross-check when supported income and expenses are available.

Answer: Do not treat the unadjusted comparable GRM as conclusive.

Which math errors cost the most points?

Trap
Treat GRM as a percentage.
Correction
Use a GRM of 120 as the multiplier 120, not 120% or 1.20.
Trap
Divide rent by sale price to extract GRM.
Correction
GRM equals sale price divided by consistent gross rent.
Trap
Use NOI in a GRM formula.
Correction
GRM uses gross rent; NOI belongs in capitalization-rate math.
Trap
Mix monthly rent with an annual GRM.
Correction
Convert the rent or multiplier so both use the same time period.
Trap
Call monthly and annual GRM numerically identical.
Correction
For the same property, monthly GRM is 12 times annual GRM.
Trap
Include laundry income in a rent-only GRM without instruction.
Correction
Use nonrent income only when the problem defines a broader GIM measure.
Trap
Subtract operating expenses before calculating GRM.
Correction
That creates a net-income measure rather than the stated gross-rent multiplier.
Trap
Assume equal gross rents mean equal values.
Correction
Location, condition, expenses, vacancy, lease terms, and other market factors can support different multipliers.
Trap
Average every comparable even when the problem identifies an outlier.
Correction
Follow the reconciliation instruction and analyze relevance before applying equal weight.
Trap
Assume a higher GRM always means a better investment.
Correction
GRM is a price-to-rent relationship, not a complete return, risk, expense, or investment analysis.
Trap
Use subject value to derive the market GRM before value is known.
Correction
Extract GRM from verified comparable sales, then apply it to the subject.
Trap
Call a single GRM result a complete appraisal.
Correction
It is a simplified indication that requires proper data, scope, analysis, and reconciliation in actual valuation.

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. A comparable sold for $480,000 and rents for $4,000 per month. What is its monthly GRM?

  1. 120
  2. 10
  3. 0.0083
  4. 1,920
Show answer and explanation

Answer: 120

$480,000 / $4,000 = 120.

2. A subject rents for $3,200 per month and the selected monthly GRM is 125. What is indicated value?

  1. $400,000
  2. $384,000
  3. $25,600
  4. $128,000
Show answer and explanation

Answer: $400,000

$3,200 x 125 = $400,000.

3. A $360,000 value is supported by a monthly GRM of 120. What monthly rent is implied?

  1. $3,000
  2. $2,500
  3. $30,000
  4. $43,200
Show answer and explanation

Answer: $3,000

$360,000 / 120 = $3,000 per month.

4. A property's monthly GRM is 144. What is the equivalent annual GRM using the same rent?

  1. 12
  2. 1,728
  3. 144
  4. 0.0833
Show answer and explanation

Answer: 12

Annual GRM equals monthly GRM divided by 12, so 144 / 12 = 12.

5. Which income belongs in a standard GRM formula?

  1. Consistently defined gross rent
  2. Net operating income
  3. Cash flow after debt service
  4. Taxable income after depreciation
Show answer and explanation

Answer: Consistently defined gross rent

GRM uses gross rent and does not explicitly deduct operating expenses.

Which numbers and formulas are easy to confuse?

Terms
GRM vs. capitalization rate
Difference
GRM is a price-to-gross-rent multiplier. Cap rate is an NOI-to-value percentage.
Question cue
Gross multiplier versus net-income rate.
Terms
Gross rent vs. NOI
Difference
Gross rent is scheduled or defined rental income before explicit operating deductions. NOI remains after vacancy treatment and operating expenses under the stated setup.
Question cue
Top-line rent versus property income after expenses.
Terms
Monthly GRM vs. annual GRM
Difference
Monthly GRM divides by one month's rent. Annual GRM divides by 12 months of rent and is one-twelfth as large for the same property.
Question cue
One-month denominator versus one-year denominator.
Terms
Multiplier vs. percentage
Difference
A multiplier such as 120 is used as 120. A percentage such as 8% becomes 0.08 in arithmetic.
Question cue
Whole factor versus rate per hundred.
Terms
GRM vs. GIM
Difference
GRM focuses on rent. GIM can use a broader gross-income measure including stated nonrent income.
Question cue
Rent only versus defined gross income.
Terms
Contract rent vs. market rent
Difference
Contract rent is set by the lease. Market rent is the rent market participants would expect under current market conditions.
Question cue
Lease fact versus market estimate.
Terms
Potential rent vs. effective income
Difference
Potential rent assumes the selected full-rent basis. Effective income reflects vacancy and collection loss and may include other income.
Question cue
Full potential versus expected collection.
Terms
Comparable GRM vs. subject GRM
Difference
A comparable GRM is extracted from known sale and rent. A subject indication applies a selected market multiplier to subject rent.
Question cue
Derive from sale versus apply to subject.
Terms
GRM range vs. simple average
Difference
A range displays market evidence. A simple average assigns equal weight even when one sale is less comparable or an outlier.
Question cue
Evidence spread versus mechanical midpoint.
Terms
Value indication vs. appraisal conclusion
Difference
A GRM result is one simplified indication. A complete appraisal follows its scope, data, methods, reconciliation, standards, and licensing requirements.
Question cue
Formula output versus developed opinion.

What does the outline expect you to calculate?

Topic
GRM purpose
What to know
Income property, rental property, market comparison, sale price, gross rent, multiplier, value indication, screening, small residential income property, investor, and simplified method
Best exam move
Use GRM when the problem supplies comparable price and consistent gross-rent evidence.
Topic
GRM extraction formula
What to know
Comparable sale price, comparable rent, division, monthly GRM, annual GRM, multiplier, quotient, market extraction, sale verification, and rent verification
Best exam move
Divide comparable price by that same comparable's gross rent for the stated period.
Topic
GRM value formula
What to know
Subject rent, selected multiplier, indicated value, multiplication, market rent, contract rent, gross rent, estimate, and reconciliation
Best exam move
Multiply subject rent by a GRM derived with the same period and rent definition.
Topic
Missing-rent formula
What to know
Indicated value, selected GRM, implied rent, division, monthly rent, annual rent, affordability, market check, and reverse formula
Best exam move
Divide value by GRM and label the result with the multiplier's monthly or annual period.
Topic
Monthly GRM
What to know
Monthly gross rent, one month, price divided by monthly amount, large multiplier, 100, 120, 150, rent roll, and subject month
Best exam move
Use monthly rent for both comparable extraction and subject application.
Topic
Annual GRM
What to know
Annual gross rent, 12 months, annualized rent, price divided by annual amount, smaller multiplier, 8, 10, 12.5, calendar year, and lease year
Best exam move
Annualize all rent consistently before extracting or applying an annual multiplier.
Topic
Monthly-to-annual conversion
What to know
Monthly rent times 12, annual rent divided by 12, monthly GRM divided by 12, annual GRM times 12, factor of 12, same property, and unit conversion
Best exam move
Convert the rent and multiplier deliberately instead of mixing periods inside one equation.
Topic
Gross rent definition
What to know
Scheduled rent, contract rent, market rent, potential rent, actual rent, concessions, vacancy, collection loss, furnished rent, utilities, and lease term
Best exam move
Use the rent definition stated and demand the same definition across subject and comparables.
Topic
Gross income multiplier
What to know
GIM, gross income, rent, parking, laundry, storage, vending, reimbursement, other income, price, multiplier, and consistent income line
Best exam move
Include nonrent income only when the metric and comparable data expressly use broader gross income.
Topic
GRM versus NOI
What to know
Gross rent, vacancy, collection loss, effective gross income, operating expense, net operating income, debt service, depreciation, and income waterfall
Best exam move
Stop at gross rent for GRM and reserve NOI for direct-capitalization formulas.
Topic
Expense limitation
What to know
Property tax, insurance, utilities, maintenance, management, repairs, owner-paid service, replacement reserve, expense ratio, high expense, low expense, and hidden burden
Best exam move
Recognize that GRM does not explicitly adjust for an expense burden unlike the comparables.
Topic
Vacancy limitation
What to know
Physical vacancy, economic vacancy, collection loss, concession, turnover, lease-up, occupancy, gross rent, effective income, market vacancy, and uncollected amount
Best exam move
Do not claim that equal gross rent means equal collected income when vacancy differs.
Topic
Comparable selection
What to know
Location, property type, unit mix, condition, age, quality, rights conveyed, financing terms, sale conditions, market date, rent level, expenses, and tenancy
Best exam move
Select sales whose rent and operating relationships make their multipliers relevant to the subject.
Topic
Multiple-comparable range
What to know
Low GRM, high GRM, mean, median, range, outlier, weighting, reconciliation, subject position, superior comparable, inferior comparable, and market support
Best exam move
Calculate each comparable separately and support the selected multiplier rather than blindly averaging an outlier.
Topic
Higher and lower GRM
What to know
Higher multiplier, lower multiplier, fixed rent, higher value, lower value, market preference, growth, risk, condition, expense relationship, and sensitivity
Best exam move
With subject rent fixed, a larger GRM produces a larger indicated value.
Topic
GRM versus cap rate
What to know
Multiplier, percentage, gross rent, NOI, value, multiplication, division, expenses, market extraction, return measure, and inverse confusion
Best exam move
Use GRM with gross rent and cap rate with NOI; never convert one into the other without sufficient income and expense data.
Topic
Appraisal boundary
What to know
Broker price opinion, CMA, appraisal, licensed appraiser, USPAP, intended use, scope of work, data verification, reconciliation, value opinion, and disclaimer
Best exam move
Solve the exam calculation without representing a shortcut as a complete licensed appraisal.
Topic
Precision and checking
What to know
Decimal multiplier, whole multiplier, rent period, dollar value, exact quotient, rounding, answer choices, reverse check, factor-of-12 error, and reasonableness
Best exam move
Reverse the formula and confirm the answer's units before selecting a choice.

How should you drill this calculation?

Session
Session 1
Focus
Master the three formulas
Proof you are ready
Solve ten missing-GRM, ten missing-value, and ten missing-rent problems with reverse checks.
Session
Session 2
Focus
Control time periods
Proof you are ready
Convert 30 monthly and annual rents or GRMs without a factor-of-12 error.
Session
Session 3
Focus
Classify income lines
Proof you are ready
Sort 40 rent, other-income, vacancy, EGI, expense, NOI, debt-service, and cash-flow facts into GRM, GIM, cap rate, or neither.
Session
Session 4
Focus
Extract comparable GRMs
Proof you are ready
Calculate 20 sale multipliers and identify period mismatches, inconsistent rent definitions, and outliers.
Session
Session 5
Focus
Apply and reconcile
Proof you are ready
Use GRM ranges to produce 15 subject indications and explain the selected multiplier in one sentence each.
Session
Session 6
Focus
Complete a mixed GRM set
Proof you are ready
Score at least 90% and justify each answer by formula direction, rent definition, time period, multiplier, comparable support, and limitation.

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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Questions students ask about Gross Rent Multiplier Formula and Examples

What is the gross rent multiplier formula?

GRM equals comparable sale price divided by comparable gross rent for the same period. If a property sells for $360,000 and its gross monthly rent is $3,000, the monthly GRM is 120.

How do you calculate value with GRM?

Multiply the subject's consistent gross rent by a market-supported GRM. If the subject's monthly rent is $3,250 and the selected monthly GRM is 120, the indicated value is $390,000.

How do you find missing rent with a GRM?

Divide value or sale price by the consistent GRM. If indicated value is $420,000 and the monthly GRM is 140, implied monthly gross rent is $3,000.

Is GRM based on monthly or annual rent?

It can use either, but the period must stay consistent. A monthly GRM is price divided by monthly gross rent. An annual GRM is price divided by annual gross rent. State the period because the numerical multipliers differ by a factor of 12.

Is a GRM a percentage?

No. GRM is a multiplier. A GRM of 120 is used as 120 in value equals rent times GRM. It is not 120%, 1.20, or a capitalization rate.

Does GRM use net operating income?

No. GRM uses gross rent and does not explicitly subtract vacancy, collection loss, or operating expenses. Direct capitalization uses NOI. Mixing NOI into a GRM formula changes the metric and produces a meaningless answer.

What is the difference between GRM and GIM?

Gross rent multiplier focuses on rent. Gross income multiplier can use a broader gross-income measure that includes qualifying nonrent income. Follow the definition used by the comparable data and the exam question rather than treating the labels as automatic synonyms.

Does a higher GRM mean a higher property value?

For the same subject rent, yes. Value equals rent times GRM, so a higher selected multiplier creates a higher indication. That does not mean a higher GRM is always better because the market-supported multiplier reflects property and income characteristics.

Can one comparable sale establish the right GRM?

One sale can supply an exam multiplier, but actual valuation requires relevant market evidence and analysis. A selected GRM should reflect comparability in location, property type, condition, rent definition, lease terms, vacancy, expense relationships, rights conveyed, and sale conditions.

Are these official Illinois broker exam questions?

No. They are original calculations aligned to the PSI broker outline effective June 24, 2026. Current Illinois appraisal oversight and current federal, appraisal-standards, banking, and agency 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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