Valuation worked guide
Income approach to value: build the right income before applying a rate
The calculation starts before the division sign. Identify the income period, what is already included, which expenses belong in the measure and how the problem treats reserves. A correct formula cannot fix a mismatched input.
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The short answer
The income approach estimates value from anticipated property benefits. In a stated direct-capitalization problem, divide the defined annual NOI by a compatible decimal capitalization rate. Gross multipliers instead relate value to a specified gross-income measure, with matching definitions and periods. Discounted cash flow values benefits at their actual future times, including any stated resale benefit. Match the income, rate, property interest and assumptions; do not substitute mortgage cash flow, tax income or a lender-qualification shortcut.
Reviewed for October 2026. PSI national III.B.4 concerns the income analysis approach and its appropriate uses. The whole Valuation category has 8 of the 100 scored national broker questions, not a quota for each formula here. All amounts, rates and forecasts below are original hypothetical inputs. The examples teach setup and scope, not current Illinois market rates, a real property value, loan approval or investment advice.
Five checks before capitalizing income
- Identify the interest and period. What property rights and effective date are being analyzed? Are rents contract, market, current or stabilized? Do not silently replace an existing lease with a different income assumption or combine monthly income with an annual rate.
- Identify the starting income. Does potential income include rent alone, or rent plus other sources? Apply vacancy and collection loss to the stated base. Add only separate qualifying income that has not already been counted. Keep reimbursements consistent with the expense treatment.
- Identify the operating measure. Include the defined property operating expenses, such as relevant property taxes, insurance, maintenance and supported management. Financing debt service, the owner's income tax and accounting depreciation are separate. Read the reserve convention instead of assuming every framework defines NOI identically.
- Choose and match the method. For the stated NOI capitalization model, use V = NOI / R, NOI = V × R or R = NOI / V. For a gross multiplier, match the gross-income level and period. For discounted cash flow, match timed benefits and the discount rate on the same property or equity basis.
- Check the result. Convert percent to decimal, carry precision, round the final answer as requested and reverse the relationship. With NOI fixed, a higher cap rate lowers the simple indication. A cap rate is not automatically a mortgage interest rate, discount rate or total investment return.
| Step | Stated amount or relationship | What it means |
|---|---|---|
| Annual rental potential | $300,000 | Rent only, before the stated loss |
| Vacancy and collection loss | 6% × $300,000 = $18,000 | Applies to rental potential only in this example |
| Separate collectible other income | $12,000 | Not already included; no further loss stipulated |
| Effective gross income | $300,000 - $18,000 + $12,000 = $294,000 | Before operating expenses |
| Defined operating expenses | $118,000 | Includes property tax and supported management; excludes the reserve |
| Operating income before the reserve | $294,000 - $118,000 = $176,000 | What this amount is called depends on the convention |
| Specified replacement allowance | $8,000 | Deduct once at the defined level |
| Income after that allowance | $176,000 - $8,000 = $168,000 | Use the rate or next step matching this definition |
The distinctions that matter
| Distinction | How it works | What to notice |
|---|---|---|
| Contract and market rent | One is specified by the lease; the other reflects the relevant market assumption at the effective date. | The property interest and assignment determine which assumptions are appropriate. |
| Potential and effective income | Potential income precedes the applicable vacancy and collection deductions. Effective income reflects those deductions and the properly counted other income. | Do not add other income twice or deduct a loss twice. |
| Actual and normalized operations | The owner's cash statement and a supported model of expected operations can differ. | Owner self-management does not automatically eliminate a supported management allowance. |
| Operating expense and financing | Property operations differ from principal and interest payments on the owner's loan. | Property tax can be an operating expense even though the owner's income tax is excluded. |
| Replacement allowance and capital expenditure | An allowance allocates future replacement needs under the defined convention; an actual capital outlay is a different item. | Do not deduct the same reserve or major outlay twice. |
| NOI and defined net cash flow | Frameworks can place a reserve at different levels. A program may define net cash flow before debt service. | Read the definition rather than assuming NCF always means spendable cash after the mortgage. |
| Cap rate and discount rate | A cap rate relates a defined annual income measure to value. A discount rate discounts timed future benefits. | They are not interchangeable merely because both are percentages. |
| Gross multiplier and net-income rate | A gross multiplier does not directly deduct the subject's operating expenses; an NOI rate relates a defined net measure to value. | Expense and vacancy differences still matter when selecting evidence. |
| Going-in and terminal capitalization | An acquisition relationship and an end-of-holding-period value use different dates and assumptions. | Use the income year and terminal formula actually supplied; do not add a resale benefit twice. |
Work through the facts
Build the income chain
Use the table: annual rental potential of $300,000; 6% vacancy and collection loss on that rental amount only; separate collectible other income of $12,000; defined operating expenses of $118,000 excluding any reserve.
- Loss is $18,000.
- EGI is $294,000, and income after the stated operating expenses is $176,000.
Answer: The operating result before the separate reserve is $176,000. The problem has not yet authorized calling every income line NOI under every framework.
Deduct the reserve where this problem defines it
Convention A expressly includes an $8,000 replacement allowance in NOI. Use the $176,000 before that allowance from the first example.
- Subtract the allowance once.
- $176,000 - $8,000 = $168,000.
Answer: Convention A NOI is $168,000. OCC's handbook illustrates a reserve-inclusive NOI definition; this is not a claim that every framework uses that definition.
Use the compatible capitalization rate
Use Convention A NOI of $168,000 and a supplied 8% cap rate derived on the same reserve and expense basis.
- Convert 8% to 0.08.
- $168,000 / 0.08 = $2,100,000.
Answer: The stipulated direct-capitalization indication is $2,100,000. Reverse-check: $2,100,000 × 0.08 = $168,000. Do not reuse that rate automatically with $176,000 on a different income basis.
Net cash flow can precede debt
Convention B defines NOI as $176,000 and deducts the same $8,000 reserve below NOI to obtain its defined NCF. The exercise then deducts $120,000 annual debt service, with no other below-line item.
- Defined NCF is $168,000 before debt.
- $168,000 - $120,000 = $48,000 after the stated financing payment.
Answer: This exercise's before-tax cash amount is $48,000. The NCF label alone did not mean after-debt cash. Fannie Mae multifamily materials illustrate why the precise definition matters.
Extract a rate from consistent inputs
A hypothetical comparable sold for $1,600,000. The problem supplies supported annual NOI of $120,000 on the intended rate basis.
- $120,000 / $1,600,000 = 0.075.
- Convert the decimal result to a percentage.
Answer: The supplied income-to-price relationship is 7.5%. It does not itself establish the subject's appropriate rate or the investor's mortgage rate or total yield.
Match a monthly gross multiplier
The problem supplies a monthly gross-rent multiplier of 145 and matching subject monthly gross rent of $2,400.
- The rent period and defined gross-rent basis match.
- $2,400 × 145 = $348,000.
Answer: The stated gross-multiplier indication is $348,000. Do not apply the monthly multiplier to $28,800 annual rent.
Match the gross-income level as well
A separate exercise derives a multiplier of 8 from sale price divided by annual effective gross income. Matching subject annual EGI is $120,000; its PGI is $130,000.
- The multiplier was derived on EGI, not PGI.
- $120,000 × 8 = $960,000.
Answer: The stipulated indication is $960,000. Using $130,000 × 8 would mix income definitions, even though both figures are annual.
Compare cap rates with income held fixed
Hold the same defined annual NOI at $168,000. Compare the supplied 8% and 10% cap-rate scenarios, with all other assumptions fixed.
- At 8%, value is $2,100,000.
- At 10%, $168,000 / 0.10 = $1,680,000.
Answer: The simple indication falls by $420,000, or 20% of the first indication. This is a controlled arithmetic comparison, not a forecast that every risk change moves rates or values by those amounts.
Discount a short, explicitly timed forecast
This separate property-level exercise supplies $50,000 at the end of year one, $55,000 at the end of year two and a $600,000 net resale benefit at the end of year two, excluding the year-two operating benefit. The resale amount already deducts selling costs but not mortgage debt or the owner's income tax. Use a compatible 10% annual discount rate.
- Discount the first benefit: $50,000 / 1.10.
- Discount the year-two benefits together: ($55,000 + $600,000) / 1.10². Add before rounding.
Answer: The stipulated present value is $586,776.86. The $600,000 is not received today, and the separate $55,000 is not already included in it. No market forecast or universal terminal-value formula is implied.
Keep a recovery and its expense consistent
A separate simplified statement has $100,000 effective income and $40,000 defined operating expenses. Its stated reporting convention then grosses up a $6,000 tenant tax reimbursement and a matching $6,000 property-tax expense that were both previously outside those amounts. All other items remain unchanged.
- The original result is $100,000 - $40,000 = $60,000.
- The grossed-up result is $106,000 - $46,000 = $60,000.
Answer: The stipulated NOI change is zero. Both sides of the newly included item must be treated consistently. This separate model does not add a second copy of an expense already included in the earlier worked chain, or prescribe every net lease's reporting convention.
Mistakes to avoid
- Always add other income after PGI. First check whether that income is already included and whether loss has already been applied.
- A full building always requires zero vacancy. A supported stabilized analysis can differ from today's occupancy; no universal positive percentage is supplied either.
- Reserves are always outside NOI, or always inside it. Follow the defined framework and match the income basis to the rate.
- NCF always means after the mortgage. Program definitions can place NCF before debt service.
- Use the owner's debt payment or tax depreciation in property NOI. Keep financing and accounting or owner-tax measures separate from the stated operating measure.
- Use a gross multiplier as though it accounts for every expense difference. Match income level, period and the relevance of the comparable evidence.
- Cap rate and investment yield mean the same thing. A one-year income-to-value relationship does not by itself establish a timed total return.
- Discount resale at the wrong time or count it twice. Identify its date, income basis, selling-cost treatment and whether operating income is separate.
Check your understanding
These are original teaching questions, not recalled or predicted PSI questions. Answer first, then explain why the other choices fail.
1. Annual rental potential is $300,000. Apply 6% vacancy and collection loss to that rent only, then add separate collectible other income of $12,000. What is EGI?
- $294,000
- $312,000
- $293,280
- $282,000
Show answer and explanation
Answer: A. $294,000
The stated loss is $18,000. $300,000 - $18,000 + $12,000 = $294,000. Do not apply the rent-only loss to the other income or add income already counted.
2. EGI is $294,000 and defined operating expenses are $118,000, excluding a reserve. What is the result before that reserve?
- $168,000
- $412,000
- $118,000
- $176,000
Show answer and explanation
Answer: D. $176,000
$294,000 - $118,000 = $176,000. The applicable framework determines the label and any next reserve deduction.
3. Convention A defines NOI after an $8,000 reserve. The operating result before that allowance is $176,000. Which NOI fits?
- $8,000
- $176,000 under every definition
- $168,000
- $184,000
Show answer and explanation
Answer: C. $168,000
Deduct the stipulated allowance once. Some other frameworks instead put a reserve below NOI, so the definition matters.
4. Use the matching Convention A NOI of $168,000 and an 8% cap rate derived on that basis. What is indicated?
- $2,200,000
- $13,440
- $2,100,000
- $21,000
Show answer and explanation
Answer: C. $2,100,000
$168,000 / 0.08 = $2,100,000. The $2,200,000 distractor improperly applies this rate to $176,000 on a different reserve basis.
5. A separate framework defines NCF as $176,000 NOI minus an $8,000 reserve, before $120,000 debt service. With no other below-line items, what remains after the stated debt payment?
- $176,000
- $48,000
- $56,000
- $168,000
Show answer and explanation
Answer: B. $48,000
First obtain $168,000 defined NCF, then subtract $120,000 to reach $48,000. The named NCF is not the after-debt amount in this framework.
6. Supported annual NOI is $120,000 and the hypothetical comparable price is $1,600,000. What rate does their relationship indicate?
- 0.075%
- 75%
- 7.5%
- 13.333%
Show answer and explanation
Answer: C. 7.5%
Divide $120,000 by $1,600,000 for 0.075, or 7.5%. The relationship alone does not establish a subject rate, loan interest rate or total return.
7. Keep annual NOI fixed at $168,000. What happens when the supplied cap rate rises from 8% to 10%?
- Value is unchanged
- Value increases by $420,000
- The simple indication falls from $2,100,000 to $1,680,000
- NOI becomes gross income
Show answer and explanation
Answer: C. The simple indication falls from $2,100,000 to $1,680,000
At the fixed income, a larger divisor produces a lower value. This comparison holds the other stated assumptions constant.
8. A monthly gross-rent multiplier is 145. Matching monthly subject gross rent is $2,400. What is indicated?
- $28,800
- $16.55
- $348,000
- $4,176,000
Show answer and explanation
Answer: C. $348,000
$2,400 × 145 = $348,000. The annual rent is $28,800; using the monthly multiplier with that annual figure produces the incorrect $4,176,000.
9. A multiplier of 8 was derived on annual EGI. Subject EGI is $120,000 and PGI $130,000. Which input matches?
- $130,000 because it is higher
- Monthly NOI in every case
- $120,000 annual EGI
- Either, because both are annual
Show answer and explanation
Answer: C. $120,000 annual EGI
The defined level must match as well as the period. The stated EGI multiplier yields $960,000; PGI would answer a different relationship.
10. Which item is normally separate from the stated property operating NOI measure?
- Relevant property tax
- Supported management expense
- Mortgage debt service
- Routine property maintenance
Show answer and explanation
Answer: C. Mortgage debt service
Debt service reflects financing. Do not confuse the owner's income-tax exclusion with a rule excluding every property tax or normal operating expense.
11. A property is fully occupied today. Which statement about a stabilized analysis is sound?
- It can use a supported allowance under its stated assumptions
- It must always use exactly 10%
- It must always use zero vacancy
- It must treat every paid rent as potential rather than collected income
Show answer and explanation
Answer: A. It can use a supported allowance under its stated assumptions
Current occupancy and a supported stabilized allowance can differ. No universal mandatory percentage or all-assignment allowance is established here.
12. For the stated two-year model, discount $50,000 at year one and $55,000 plus a separate $600,000 net resale benefit at year two, at 10% annually. What present value results to cents?
- $90,909.09
- $640,909.09
- $586,776.86
- $705,000.00
Show answer and explanation
Answer: C. $586,776.86
$50,000 / 1.10 + $655,000 / 1.10² = $586,776.8595 before final rounding. The other options fail to discount properly or omit the resale benefit.
13. An expressly grossed-up statement adds $6,000 reimbursement income and the matching $6,000 property expense, all else unchanged. What is the stipulated NOI change?
- $0
- +$12,000
- +$6,000
- -$6,000
Show answer and explanation
Answer: A. $0
The matching additions offset under the stated model. This is not a claim that every net lease uses the same reporting convention.
14. Which statement correctly distinguishes capitalization and discounting?
- A cap rate and discount rate are not automatically interchangeable
- A resale benefit is always received at acquisition
- They must equal every mortgage interest rate
- A one-year cap relationship proves the exact multiyear investment return
Show answer and explanation
Answer: A. A cap rate and discount rate are not automatically interchangeable
A cap relationship uses the stated annual income and value basis. Discounting explicitly accounts for timed future benefits. Definitions, dates and property-versus-equity scope matter.
15. The supplied $312,000 potential-income total already includes $12,000 other income. Subtract the separately specified $18,000 loss. No further adjustment is given. What EGI follows?
- $306,000 after adding the other income again
- $282,000 after removing the included income as well
- $312,000 because vacancy never affects potential income
- $294,000 without counting the included income twice
Show answer and explanation
Answer: D. $294,000 without counting the included income twice
$312,000 - $18,000 = $294,000. The $12,000 is already inside the starting total; adding it again would double count. The loss amount is stipulated rather than recalculated on a different base.
Common questions
What is the income approach in plain English?
It estimates value from expected property benefits. The selected method can use a compatible annual income-to-value relationship, a gross multiplier or explicitly timed discounted benefits. The property interest, evidence, assumptions and assignment determine the appropriate analysis; property type alone does not provide every input.
What is the income sequence?
Read the definitions first. A common rental setup is potential rent minus the specified vacancy and collection loss plus separate other income, then minus the defined operating expenses. Some PGI figures already include other income. The worked example expressly says rental potential, a rent-only loss base and separate collectible other income so nothing is silently counted twice.
Is contract rent always replaced with market rent?
No automatic substitution is justified by this page. Contract rent comes from the actual lease; market rent concerns the relevant market assumption. The property rights, lease terms, effective date and assignment determine how those figures enter the analysis.
Is mortgage debt service an operating expense?
It is separate from the stated property NOI measure. Principal and interest payments depend on financing. The owner's income tax and accounting depreciation are also distinct. Relevant property taxes, supported management, insurance and routine operating costs can belong in the operating analysis.
Are replacement reserves part of NOI?
The definition matters. OCC's commercial-real-estate handbook includes an imputed replacement reserve in its defined NOI. The cited Fannie Mae multifamily materials instead show a reserve deduction from NOI to defined net cash flow. Do not mix one framework's income with a rate derived on another basis or deduct the allowance twice.
Does net cash flow always mean cash after debt service?
No. The cited Fannie Mae materials use a defined NCF before a separate debt-service line. If the question asks for cash after financing, identify the defined starting measure and every stated below-line item. A label alone does not establish what has already been deducted.
Can I ignore management expense because the owner does the work?
Not automatically in a normalized analysis. A supported allowance for necessary management can differ from the owner's cash payment. Read whether the supplied expense total already includes it; do not add a second allowance merely because the owner self-manages.
Must a fully occupied property use zero vacancy?
Not automatically. A current occupancy fact and a supported stabilized analysis answer different questions. Use the stated or supported loss assumption, including its income base. This does not establish one mandatory vacancy percentage for every property or purpose.
What are the NOI capitalization formulas?
In the stated model, V = NOI / R, NOI = V × R and R = NOI / V. Use the annual income definition matching the rate and convert percentages to decimals. These relationships do not supply an appropriate market rate when the question has not given one. If the income definition changes without a compatible rate being supplied or supported, do not invent a rate to force a numerical value.
Does a higher cap rate always prove a better investment?
No. With the stated NOI fixed, a higher divisor produces a lower simple value indication. An observed rate can reflect differences in income definitions, risk, growth expectations, market evidence and other assumptions. It is not automatically a mortgage rate, total yield or a recommendation.
Are GRM and GIM always monthly and annual respectively?
Do not rely on labels alone. Identify the actual rent or income definition and period used to derive the multiplier, then apply it consistently. A multiplier based on EGI cannot automatically be applied to PGI merely because both are annual. Expense and vacancy comparability still matter even when the calculation does not explicitly deduct expenses.
How does discounted cash flow differ from the simple NOI formula?
The stated DCF example discounts year-one benefits for one period and year-two benefits for two periods, including a separately defined resale benefit. It does not treat the resale money as received today or add the same operating income twice. A full appraisal forecast needs supported timing, income, resale, costs and rates; the short exercise supplies them only for teaching.
Is a terminal cap rate the same as the discount rate?
Not automatically. A terminal cap relationship can be used to estimate an end-of-holding-period value under the specified income-year assumptions. The discount rate then brings the timed benefits to the valuation date. Their definitions and uses differ; the example supplies a net resale amount directly rather than assuming a universal terminal formula.
Must every residential income approach use NOI divided by a cap rate?
No. Gross-rent multiplier methods are also income methods. Fannie Mae's cited residential guidance and September 2026 UAD supplement illustrate program-specific rental comparison and multiplier analysis. That is not a requirement that every property or lender use identical methods, and this page does not reproduce every program condition.
Is a lender's qualifying rental income the same as appraisal NOI?
No. Borrower qualifying-income rules and collateral valuation serve different purposes. The cited September 2026 Fannie Mae topic has its own eligibility, documentation and calculation rules. Do not treat a rent percentage used for a particular loan qualification as a universal appraisal-NOI shortcut.
How many exam questions or what practice score should I expect?
PSI assigns 8 of the 100 scored national broker questions to the whole Valuation category, not a separate quota to each income calculation here. All practice items are original. This set has no validated passing or booking threshold; use it to find errors in definitions, periods, timing and arithmetic.
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Official sources and scope
PSI supplies the named exam scope. DRE supplies general valuation teaching, not current California legal or tax procedure. OCC and Fannie Mae define operating income and reserves in their own contexts; those definitions must remain consistent with the rate or next calculation. The Fannie Mae UAD supplement and borrower-rental-income topic are identified September 2026 editions. Their program examples are not universal methods for every assignment. All calculations and practice items are original.
- PSI June 24, 2026: national III.B.4 income approach and XI.B.2 capitalization
- California DRE Reference Book chapter 15: overall-rate and income arithmetic
- OCC Commercial Real Estate Lending handbook: income and value analysis
- Fannie Mae B4-1.3-10: separate income-approach lender context
- Fannie Mae multifamily: defined NCF subtracts replacement reserve from NOI
- Fannie Mae UAD 3.6 supplement: September 2026 income policy
- Fannie Mae September 2026: rental income from the subject property
- Fannie Mae Form 4254.DEF: actual and normalized operations, NOI and NCF
This is exam preparation, not advice for a specific transaction. State law and the applicable facts control. Our editorial and corrections process explains how to report an issue.