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Real estate math guide

Equity from what the property is worth minus what it secures

Equity is a snapshot, not a receipt from the day the owner bought the property. Use today's stated value and today's stated secured balances. Then decide whether the question wants equity dollars, an equity percentage, a change in equity, or the smaller amount a lender might permit the owner to borrow. Put value at the top of the page and list each secured balance underneath it. That layout catches a forgotten junior lien and keeps an unused HELOC limit from being mistaken for money actually owed.

Last updated: August 1, 2026

What calculation do you need to make?

Short answer: Equity equals current property value minus total debt secured by the property. Add every stated mortgage and lien balance that belongs in the question before subtracting. Equity percentage equals equity divided by value, multiplied by 100. Negative equity means secured debt exceeds value. Principal paydown increases equity when value stays constant, while additional secured borrowing decreases it. Appreciation increases equity when debt stays constant, while value decline decreases it. When value and debt both change, calculate beginning equity and ending equity first, then reconcile the difference into value change, principal reduction, and added borrowing. Equity is not the same as down payment, cash invested, seller net proceeds, taxable gain, or the amount a lender will allow the owner to borrow. A home can have positive equity but produce little sale cash after payoffs and closing costs. For a lending-limit question, apply the supplied maximum LTV or CLTV and subtract existing balances.

Official section
National XI.D: PITI, Equity, LTV, Points, and Origination Fees
Broker weight
A named calculation 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

This guide uses simplified exam snapshots. Actual value may come from an appraisal or another permitted valuation, and different valuations can differ because their dates, purposes, data, or methods differ. Actual secured debt, payoff amounts, accrued interest, advances, available line-of-credit capacity, lending limits, priority, and closing costs come from current records and program rules. A credit limit is not the same as an outstanding balance, and a principal balance is not always the final payoff through closing. An owner cannot assume that estimated equity is cash or immediately borrowable. Borrowing against home equity also puts the property at risk if repayment obligations are not met. Sources were checked through August 1, 2026.

How do you solve real estate equity calculations?

  1. Circle the requested result: equity dollars, equity percentage, equity change, negative equity, or additional borrowing under a stated limit.
  2. Identify the correct value and valuation date, ignoring an old purchase price when current value is supplied and rejecting any unsupported future appreciation estimate.
  3. List every secured balance included in the problem at the same effective date and keep ordinary unsecured debts outside the subtotal.
  4. Subtract total secured debt from value and preserve a negative result.
  5. For equity percentage, divide the equity dollars by the same property value and multiply by 100.
  6. For a change question, calculate beginning equity and ending equity separately before comparing them.
  7. For additional borrowing, apply the stated maximum debt-to-value cap and subtract existing secured balances.
  8. Reverse-check that equity plus secured debt equals value, then label the answer in dollars or percent and state whether a negative result is equity or a separate shortfall measure.
Unknown
Equity dollars
Formula
Value - total secured debt
Exam safeguard
Current snapshot
Unknown
Total secured debt
Formula
Value - equity
Exam safeguard
Include stated liens
Unknown
Property value
Formula
Equity + secured debt
Exam safeguard
Reverse addition
Unknown
Equity percentage
Formula
Equity / value x 100
Exam safeguard
Same value base
Unknown
Debt-to-value
Formula
Secured debt / value x 100
Exam safeguard
Specify LTV or CLTV
Unknown
Negative equity
Formula
Debt exceeds value
Exam safeguard
Keep negative sign
Unknown
Equity change
Formula
Ending equity - beginning equity
Exam safeguard
Two snapshots
Unknown
Paydown effect
Formula
Principal reduction adds equity
Exam safeguard
Value held constant
Unknown
Appreciation effect
Formula
Value increase adds equity
Exam safeguard
Debt held constant
Unknown
Additional borrowing limit
Formula
Value x stated cap - existing debt
Exam safeguard
Not all gross equity

Can you follow the calculation from facts to answer?

Calculate basic equity

Scenario: A property is currently worth $520,000 and has a $315,000 mortgage balance. What is the owner's equity?

  1. Use current value, not the original purchase price.
  2. $520,000 - $315,000 = $205,000.
  3. Check: $205,000 equity + $315,000 debt = $520,000 value.

Answer: The owner's equity is $205,000.

Include multiple secured balances

Scenario: A $600,000 property secures a $360,000 first mortgage and a $45,000 home-equity loan. What is total equity?

  1. Total secured debt is $360,000 + $45,000 = $405,000.
  2. $600,000 - $405,000 = $195,000.
  3. Both debts reduce the owner's residual interest.

Answer: Total equity is $195,000.

Measure the combined change in equity

Scenario: A home rises from $400,000 to $440,000 while its mortgage falls from $320,000 to $295,000. How much did equity increase?

  1. Beginning equity is $400,000 - $320,000 = $80,000.
  2. Ending equity is $440,000 - $295,000 = $145,000.
  3. $145,000 - $80,000 = $65,000, consisting of $40,000 appreciation and $25,000 debt reduction.

Answer: Equity increased by $65,000.

Keep negative equity negative

Scenario: A property is worth $275,000 and total secured debt is $290,000. What is the equity position?

  1. $275,000 - $290,000 = -$15,000.
  2. Debt exceeds value by $15,000.
  3. The result is not $15,000 of positive owner wealth.

Answer: The property has $15,000 in negative equity.

Calculate an equity percentage

Scenario: A $520,000 property has $205,000 in equity. What percentage of the value is equity?

  1. $205,000 / $520,000 = 0.3942307.
  2. Multiply by 100 to obtain 39.42307%.
  3. Rounded to two decimal places, the owner's equity share is 39.42%.

Answer: The equity percentage is approximately 39.42%.

Find additional borrowing under a stated CLTV cap

Scenario: A problem states that total secured debt may not exceed 80% of a $500,000 value. The existing mortgage balance is $300,000. Ignoring costs and underwriting, what additional secured principal fits the cap?

  1. Maximum total secured debt is $500,000 x 0.80 = $400,000.
  2. $400,000 - $300,000 = $100,000.
  3. The answer comes from the stated cap, not the property's full $200,000 gross equity.

Answer: The stated cap leaves $100,000 for additional secured principal.

Which math errors cost the most points?

Trap
Subtract the original loan instead of the current balance.
Correction
Equity is a current snapshot, so use current secured principal unless the stem says otherwise.
Trap
Use purchase price after a current value is supplied.
Correction
Use the stated value for the date the equity is measured.
Trap
Subtract only the first mortgage and ignore a second lien.
Correction
Add all stated secured debts that belong in total owner equity.
Trap
Subtract ordinary credit-card debt from property equity.
Correction
Exclude unsecured personal debts unless the facts establish a property lien.
Trap
Use the HELOC credit limit as debt when only part is drawn.
Correction
Use the outstanding balance for current equity unless the question requests potential exposure.
Trap
Add the entire monthly mortgage payment to equity.
Correction
Only the portion reducing secured principal increases equity when value is unchanged.
Trap
Add interest, taxes, insurance, and maintenance to equity.
Correction
Those costs do not automatically raise property value or reduce principal.
Trap
Turn negative equity into a positive number.
Correction
Preserve the sign and state that secured debt exceeds value.
Trap
Call equity the seller's check at closing.
Correction
Seller net also accounts for sale price, payoff details, and transaction charges.
Trap
Call equity taxable gain.
Correction
Debt does not set adjusted basis, and equity is not the tax-gain formula.
Trap
Assume the owner can borrow 100% of gross equity.
Correction
Use the problem's stated LTV or CLTV limit and recognize that live underwriting adds other constraints.
Trap
Calculate an equity percentage from the mortgage balance.
Correction
Divide equity dollars by property value, not by secured debt.

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 property is worth $475,000 and has $298,000 in total secured debt. What is equity?

  1. $177,000
  2. $298,000
  3. $773,000
  4. $157,000
Show answer and explanation

Answer: $177,000

$475,000 - $298,000 = $177,000.

2. A $550,000 property has a $320,000 first mortgage and a $40,000 second mortgage. What is total equity?

  1. $190,000
  2. $230,000
  3. $360,000
  4. $870,000
Show answer and explanation

Answer: $190,000

$550,000 - ($320,000 + $40,000) = $190,000.

3. A property value stays at $400,000 while secured principal falls by $18,000. What happens to equity?

  1. Equity increases by $18,000
  2. Equity decreases by $18,000
  3. Equity stays unchanged
  4. Equity becomes the interest paid
Show answer and explanation

Answer: Equity increases by $18,000

When value is constant, an $18,000 liability reduction increases the owner's residual by $18,000.

4. A home is worth $300,000 and total secured debt is $315,000. Which result is correct?

  1. $15,000 negative equity
  2. $15,000 positive equity
  3. $615,000 equity
  4. Zero equity
Show answer and explanation

Answer: $15,000 negative equity

$300,000 - $315,000 = -$15,000.

5. Equity is $150,000 on a $500,000 property. What is the equity percentage?

  1. 30%
  2. 70%
  3. 3%
  4. 333.33%
Show answer and explanation

Answer: 30%

$150,000 / $500,000 x 100 = 30%.

Which numbers and formulas are easy to confuse?

Terms
Equity vs. market value
Difference
Market value estimates the property as a whole. Equity is the owner's residual after subtracting secured debt.
Question cue
Whole asset versus residual interest.
Terms
Equity vs. down payment
Difference
Down payment is an acquisition contribution. Equity changes later with value, principal reduction, and additional liens.
Question cue
Closing contribution versus current snapshot.
Terms
Equity vs. seller net
Difference
Equity subtracts secured debt from value. Seller net uses actual sale proceeds and also subtracts transaction debits.
Question cue
Ownership value versus settlement cash.
Terms
Equity vs. taxable gain
Difference
Equity compares value and debt. Taxable gain compares amount realized and adjusted basis under current tax rules.
Question cue
Debt relationship versus tax basis relationship.
Terms
Mortgage balance vs. payoff amount
Difference
Balance usually means current unpaid principal. Payoff can include dated interest, authorized fees, advances, and credits needed for satisfaction.
Question cue
Equity input versus closing input.
Terms
Home-equity loan vs. equity
Difference
A home-equity loan is debt secured by the property. Equity is the residual value, which the new debt generally reduces when value is unchanged.
Question cue
Secured liability versus owner interest.
Terms
HELOC limit vs. HELOC balance
Difference
The limit is the maximum available line under its terms. The outstanding balance is the amount currently drawn and owed.
Question cue
Capacity versus debt used.
Terms
Gross equity vs. borrowable equity
Difference
Gross equity is value minus secured debt. Borrowable equity is constrained by a lender's permitted leverage, underwriting, and costs.
Question cue
Mathematical residual versus available financing.
Terms
Equity dollars vs. equity percentage
Difference
Equity dollars measure value remaining in currency. Equity percentage divides that amount by property value.
Question cue
Amount versus share.
Terms
Value appreciation vs. principal paydown
Difference
Appreciation raises the asset side. Principal paydown lowers the liability side. Either can increase equity.
Question cue
Higher value versus lower debt.

What does the outline expect you to calculate?

Topic
Equity-dollar formula
What to know
Current value, secured debt, mortgage balance, lien balance, subtraction, ownership interest, positive equity, negative equity, and zero equity
Best exam move
Write equity = value - secured debt before substituting numbers.
Topic
Current property value
What to know
Market value, appraised value, sale price, purchase price, valuation date, estimate, comparable sales, BPO, AVM, and question fact
Best exam move
Use the value the question designates for the relevant date rather than choosing the largest figure.
Topic
First-mortgage balance
What to know
Unpaid principal, original loan, payment history, amortization, current balance, statement, payoff, interest, and debt reduction
Best exam move
Use current unpaid principal for basic equity unless the question expressly asks for a sale payoff.
Topic
Multiple secured debts
What to know
First mortgage, second mortgage, home-equity loan, HELOC balance, judgment lien, tax lien, mechanics lien, combined debt, and property security
Best exam move
Add every included secured balance before subtracting from value.
Topic
Unsecured-debt boundary
What to know
Credit card, auto loan, personal loan, student debt, security interest, judgment, lien attachment, household debt, and property debt
Best exam move
Do not reduce property equity for an ordinary unsecured balance unless the facts make it a lien on the property.
Topic
Initial equity
What to know
Purchase price, down payment, loan amount, financing, LTV, closing, gifted funds, seller credit, appraisal, and acquisition snapshot
Best exam move
In a simple purchase with price equal to value, initial equity equals price minus total acquisition financing.
Topic
Principal paydown
What to know
Amortization, scheduled payment, principal portion, extra payment, loan balance, value held constant, equity gain, interest portion, and escrow
Best exam move
Increase equity by the reduction in secured principal, not by the full mortgage payment.
Topic
Additional secured borrowing
What to know
Cash-out refinance, second mortgage, home-equity loan, HELOC draw, new lien, combined balances, value held constant, equity reduction, and proceeds
Best exam move
Decrease equity by new secured principal when value does not change.
Topic
Appreciation effect
What to know
Value increase, market change, improvement contribution, original value, current value, percentage appreciation, debt constant, and equity increase
Best exam move
Add the dollar increase in value to equity only after confirming debt did not also change.
Topic
Depreciation and value decline
What to know
Market decline, physical deterioration, obsolescence, value loss, negative equity, debt constant, current appraisal, and owner position
Best exam move
Subtract the value decline from equity while keeping tax depreciation in a separate concept box.
Topic
Combined change in equity
What to know
Beginning value, ending value, beginning debt, ending debt, appreciation, principal reduction, new borrowing, beginning equity, ending equity, and reconciliation
Best exam move
Calculate beginning and ending equity separately, then subtract to avoid sign mistakes.
Topic
Negative equity
What to know
Underwater mortgage, debt above value, negative result, value decline, high leverage, payoff, short sale, foreclosure, and no automatic forgiveness
Best exam move
Preserve the negative sign and do not turn it into positive owner wealth.
Topic
Equity percentage
What to know
Equity dollars, current value, division, percent, owner share, debt share, LTV complement, rounding, and unit
Best exam move
Divide equity by the same value used in the dollar calculation and multiply by 100.
Topic
Equity and LTV relationship
What to know
Loan-to-value, combined loan-to-value, secured debt, property value, equity ratio, complement, first lien, multiple liens, and same base
Best exam move
Use equity percentage = 100% - total debt-to-value only when the ratios cover the same debts and value.
Topic
Borrowable-equity limit
What to know
Maximum CLTV, permitted total debt, existing mortgage, additional loan, underwriting, product rule, credit line, appraisal, and closing cost
Best exam move
Multiply value by the stated cap, then subtract existing secured balances.
Topic
Seller-net boundary
What to know
Sale price, payoff, brokerage fee, transfer tax, closing costs, seller credit, proration, equity, net proceeds, and transaction ledger
Best exam move
Do not report value minus debt as seller net when selling expenses are supplied.
Topic
Cash-investment boundary
What to know
Down payment, closing costs, renovation, maintenance, taxes, insurance, cash invested, equity, market value, and principal
Best exam move
Do not add every dollar spent on the home to current equity.
Topic
Reasonableness check
What to know
Value ceiling, debt subtotal, negative sign, reverse addition, equity ratio, LTV, estimate, duplicated lien, and answer choice
Best exam move
Confirm equity plus total secured debt returns the stated property value.

How should you drill this calculation?

Session
Session 1
Focus
Identify the two sides
Proof you are ready
Classify 40 facts as current value, secured debt, unsecured debt, or irrelevant historical cost.
Session
Session 2
Focus
Calculate equity dollars
Proof you are ready
Solve 25 one-lien and multiple-lien equity snapshots and reverse-check every result.
Session
Session 3
Focus
Track equity changes
Proof you are ready
Complete 20 beginning-to-ending problems involving value changes, principal reduction, and new borrowing.
Session
Session 4
Focus
Work percentages
Proof you are ready
Calculate 20 equity percentages and reconcile each with the corresponding total debt-to-value ratio.
Session
Session 5
Focus
Apply stated borrowing caps
Proof you are ready
Solve 20 additional-principal questions using supplied LTV or CLTV limits without using all gross equity.
Session
Session 6
Focus
Complete a mixed equity set
Proof you are ready
Score at least 90% and explain every value date, debt inclusion, sign, percentage base, and seller-net boundary.

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Questions students ask about Equity Calculations: Illinois Real Estate Exam Guide

What is the basic home-equity formula?

Equity equals the property's current value minus the debt secured by the property. If a home is worth $500,000 and the total mortgage debt is $310,000, the simplified equity is $190,000.

Do you subtract all mortgages when calculating equity?

Yes, when the question asks for total owner equity and all listed debts are secured by the property. Add the first mortgage, second mortgage, and outstanding home-equity line balance, then subtract the combined secured debt from value. Do not subtract unsecured debts unless the stem makes them liens against the property.

Is equity based on purchase price or current market value?

Current equity normally uses current property value, not the historical price. At acquisition, a simplified question may use the purchase price as the value because no different value is supplied. Read the date and valuation fact in the stem before selecting the base.

How does paying mortgage principal affect equity?

With property value held constant, each dollar of secured principal paid down adds one dollar of equity. Interest, taxes, insurance, and ordinary maintenance payments do not reduce principal merely because they are part of housing costs.

How does appreciation affect equity?

With secured debt held constant, each dollar of value appreciation adds one dollar of equity. Depreciation or a market-value decline reduces equity dollar for dollar. If both value and debt change, update both sides of the formula.

What is negative equity?

Negative equity exists when total secured debt exceeds current property value. A $275,000 value with $290,000 in secured debt produces negative $15,000 of equity. That is not automatically the same as the amount needed to complete a sale because payoffs and selling costs may differ.

How do you calculate the owner's equity percentage?

Divide equity dollars by current property value and multiply by 100. If equity is $180,000 on a $500,000 property, the equity percentage is 36%. It is the complement of total secured debt-to-value only when the same value and debts are used.

Is equity the same as down payment?

Not after the transaction begins to change. The down payment often creates initial equity in a simple purchase, but later equity reflects current value, principal balances, new liens, and released liens. Closing costs do not automatically create property equity.

Can an owner borrow all available equity?

Do not assume so. A lender may cap total secured borrowing at a stated loan-to-value or combined loan-to-value ratio and will apply underwriting, product, valuation, and legal requirements. On an exam, calculate usable or borrowable equity only from the limit supplied in the problem.

Are these official Illinois broker exam questions?

No. They are original practice calculations aligned to the PSI Illinois broker outline effective June 24, 2026. The current PSI outline and federal consumer mortgage guidance 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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