- 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
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.
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?
- Circle the requested result: equity dollars, equity percentage, equity change, negative equity, or additional borrowing under a stated limit.
- Identify the correct value and valuation date, ignoring an old purchase price when current value is supplied and rejecting any unsupported future appreciation estimate.
- List every secured balance included in the problem at the same effective date and keep ordinary unsecured debts outside the subtotal.
- Subtract total secured debt from value and preserve a negative result.
- For equity percentage, divide the equity dollars by the same property value and multiply by 100.
- For a change question, calculate beginning equity and ending equity separately before comparing them.
- For additional borrowing, apply the stated maximum debt-to-value cap and subtract existing secured balances.
- 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?
- Use current value, not the original purchase price.
- $520,000 - $315,000 = $205,000.
- 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?
- Total secured debt is $360,000 + $45,000 = $405,000.
- $600,000 - $405,000 = $195,000.
- 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?
- Beginning equity is $400,000 - $320,000 = $80,000.
- Ending equity is $440,000 - $295,000 = $145,000.
- $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?
- $275,000 - $290,000 = -$15,000.
- Debt exceeds value by $15,000.
- 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?
- $205,000 / $520,000 = 0.3942307.
- Multiply by 100 to obtain 39.42307%.
- 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?
- Maximum total secured debt is $500,000 x 0.80 = $400,000.
- $400,000 - $300,000 = $100,000.
- 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?
- $177,000
- $298,000
- $773,000
- $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?
- $190,000
- $230,000
- $360,000
- $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?
- Equity increases by $18,000
- Equity decreases by $18,000
- Equity stays unchanged
- 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?
- $15,000 negative equity
- $15,000 positive equity
- $615,000 equity
- 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?
- 30%
- 70%
- 3%
- 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.
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 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
- PSI Illinois Candidate Information Booklet dated June 24, 2026
- Consumer Financial Protection Bureau, current home-equity definition and loan explanation
- Consumer Financial Protection Bureau, current home-equity loan and HELOC comparison
- Consumer Financial Protection Bureau, current mortgage-valuation explanation
- Consumer Financial Protection Bureau, current mortgage balance and servicing guidance
- Freddie Mac My Home, home-equity formula and homeowner explanation
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.