- 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
Mortgage payment and PITI from matching monthly amounts
PITI is a monthly addition problem disguised by annual bills. Principal and interest usually arrive as one monthly figure, while taxes and insurance often arrive by the year. Convert every component to the same month before adding, then say whether the answer is narrow PITI or a broader total housing payment.
Last updated: August 1, 2026
What calculation do you need to make?
Short answer: Monthly PITI equals monthly principal and interest plus annual property taxes divided by 12 plus annual homeowner's insurance divided by 12. If all components are already monthly, add them directly. Mortgage insurance, flood insurance, association dues, special assessments, ground rent, or subordinate-financing payments are not hidden inside the narrow four-letter formula, but applicable items can belong in a broader total monthly housing expense or PITIA calculation. An escrow account holds and disburses estimated tax, insurance, and other covered charges; it does not turn those obligations into principal or interest. Use a payment factor only when supplied, keep upfront prepaids and initial escrow deposits out of the recurring monthly sum, and do not promise that total payment will remain fixed.
This guide teaches simplified exam math, not a mortgage quote or escrow analysis. Actual principal and interest depend on the note, amortization, rate features, term, payment schedule, and loan program. Taxes, premiums, mortgage insurance, assessments, dues, escrow cushions, shortages, and disbursement estimates follow current documents and rules. The Loan Estimate and Closing Disclosure use prescribed categories that may be broader than classroom PITI. Sources were checked through August 1, 2026.
How do you calculate a monthly mortgage payment with PITI?
- Circle the requested total: P&I, narrow PITI, PITIA, estimated total monthly payment, or one missing component.
- Place the monthly principal-and-interest payment on its own line, calculating it from a supplied payment factor only when needed.
- Convert each annual property tax and annual insurance premium to a monthly amount by dividing by 12.
- Add P&I, monthly taxes, and monthly homeowner's insurance to obtain narrow PITI.
- Add mortgage insurance, association dues, assessments, flood coverage, or other housing items only when the requested broader total includes them.
- Keep prepaids, closing costs, and initial escrow funding out of the recurring monthly calculation.
- Reverse-check the total by subtracting each component and confirming no annual figure entered the monthly sum unchanged.
- State which total you calculated and avoid promising that taxes, insurance, escrow, or the full payment cannot change.
- Unknown
- Monthly tax
- Formula
- Annual property tax / 12
- Exam safeguard
- Monthly unit
- Unknown
- Monthly homeowner's insurance
- Formula
- Annual premium / 12
- Exam safeguard
- Not mortgage insurance
- Unknown
- PITI
- Formula
- P&I + monthly tax + monthly homeowner's insurance
- Exam safeguard
- Four basic components
- Unknown
- Broader housing total
- Formula
- PITI + stated applicable items
- Exam safeguard
- Read definition
- Unknown
- P&I from factor
- Formula
- Loan in $1,000s x supplied factor
- Exam safeguard
- Factor table required
- Unknown
- Loan from factor
- Formula
- P&I / factor x $1,000
- Exam safeguard
- Reverse by division
- Unknown
- Missing monthly component
- Formula
- Total - other monthly components
- Exam safeguard
- Same period
- Unknown
- Annual amount from monthly
- Formula
- Monthly component x 12
- Exam safeguard
- Annualize at end
- Unknown
- Initial escrow funding
- Formula
- Cash-to-close item
- Exam safeguard
- Not recurring PITI
- Unknown
- Escrow shortage payment
- Formula
- Separate stated adjustment
- Exam safeguard
- Can change total payment
Can you follow the calculation from facts to answer?
Calculate basic monthly PITI
Scenario: Monthly principal and interest are $1,800. Annual property taxes are $7,200 and annual homeowner's insurance is $1,800. What is PITI?
- Monthly taxes are $7,200 / 12 = $600.
- Monthly insurance is $1,800 / 12 = $150.
- $1,800 + $600 + $150 = $2,550.
Answer: Monthly PITI is $2,550.
Build a broader housing total
Scenario: Basic PITI is $2,550. Monthly mortgage insurance is $125 and association dues are $90. What broader monthly housing expense does the problem produce?
- Keep narrow PITI at $2,550.
- Additional stated housing items total $125 + $90 = $215.
- $2,550 + $215 = $2,765.
Answer: The broader monthly housing expense is $2,765.
Recover the maximum P&I component
Scenario: A simplified PITI ceiling is $2,800. Monthly taxes are $650 and monthly homeowner's insurance is $175. What P&I fits the ceiling?
- Known nonloan PITI components total $650 + $175 = $825.
- $2,800 - $825 = $1,975.
- No other housing items are included in the stated narrow total.
Answer: The maximum monthly P&I component is $1,975.
Use a payment factor
Scenario: A supplied table gives a monthly P&I factor of $6.32 per $1,000. The loan is $320,000, annual taxes are $8,400, and annual insurance is $2,400. What is PITI?
- P&I is 320 x $6.32 = $2,022.40.
- Monthly taxes are $700 and monthly insurance is $200.
- $2,022.40 + $700 + $200 = $2,922.40.
Answer: Monthly PITI is $2,922.40.
Recover a loan from a supplied factor
Scenario: Monthly P&I is $2,212 and the supplied factor is $5.53 per $1,000. What loan amount produced the payment?
- $2,212 / $5.53 = 400 units of $1,000.
- 400 x $1,000 = $400,000.
- Check: 400 x $5.53 = $2,212.
Answer: The loan amount is $400,000.
Separate a monthly shortage repayment
Scenario: Base PITI is $2,400 and a stated escrow shortage repayment adds $75 monthly for 12 months. What are the temporary total and base PITI?
- The shortage repayment is an escrow adjustment, not a new PITI category.
- Temporary amount collected is $2,400 + $75 = $2,475.
- Base PITI remains $2,400 under the stated facts.
Answer: The temporary total is $2,475; base PITI is $2,400.
Which math errors cost the most points?
- Trap
- Add annual taxes directly to a monthly P&I payment.
- Correction
- Divide annual taxes by 12 before combining monthly amounts.
- Trap
- Divide a monthly insurance amount by 12 again.
- Correction
- Convert only annual figures; use an already-monthly amount as given.
- Trap
- Add the original loan principal to every monthly payment.
- Correction
- Use the scheduled monthly P&I amount, which already allocates principal and interest.
- Trap
- Call mortgage insurance homeowner's insurance.
- Correction
- They cover different risks and appear as separate payment components when applicable.
- Trap
- Hide HOA dues inside the I in PITI.
- Correction
- The I means insurance; association dues belong in a broader stated housing total.
- Trap
- Treat escrow as an additional expense on top of the taxes and insurance it funds.
- Correction
- Escrow is the collection account, so adding both the escrow amount and its same underlying items double counts.
- Trap
- Add initial escrow funding to every monthly PITI payment.
- Correction
- Initial funding is a closing amount, while recurring escrow collections belong in monthly payment analysis.
- Trap
- Use a payment factor against the loan's dollar amount without dividing by $1,000.
- Correction
- A per-$1,000 factor multiplies the number of thousands in the loan.
- Trap
- Assume fixed-rate means the total monthly amount can never change.
- Correction
- Taxes, insurance, assessments, mortgage insurance, and escrow adjustments can change.
- Trap
- Use the current tax bill forever in a qualification estimate.
- Correction
- Actual underwriting can require a reasonable projected tax amount under current program rules.
- Trap
- Call PITI the same as cash needed at closing.
- Correction
- PITI is monthly; Cash to Close is the final settlement amount after transaction credits and funding.
- Trap
- Promise a borrower the exam result is the final lender payment.
- Correction
- Use current Loan Estimate, Closing Disclosure, servicing, tax, insurance, and loan documents for a live transaction.
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. Monthly P&I is $1,650, annual taxes are $6,600, and annual homeowner's insurance is $1,500. What is PITI?
- $2,325
- $2,200
- $9,750
- $1,800
Show answer and explanation
Answer: $2,325
$1,650 + ($6,600 / 12) + ($1,500 / 12) = $1,650 + $550 + $125 = $2,325.
2. Annual property taxes are $9,000. What monthly amount enters a simplified PITI calculation?
- $750
- $9,000
- $108,000
- $75
Show answer and explanation
Answer: $750
$9,000 / 12 = $750 per month.
3. PITI is $2,700, monthly taxes are $600, and monthly homeowner's insurance is $150. What is P&I?
- $1,950
- $2,100
- $3,450
- $750
Show answer and explanation
Answer: $1,950
$2,700 - $600 - $150 = $1,950.
4. Which item is outside narrow PITI but may enter a broader qualifying housing expense?
- HOA dues
- Principal
- Interest
- Property taxes
Show answer and explanation
Answer: HOA dues
Association dues are not one of the four PITI letters but can be included in PITIA or total housing expense.
5. Why can the total payment change on a fixed-rate mortgage?
- Taxes, insurance, and escrow adjustments can change
- Fixed principal always doubles
- Interest becomes transfer tax
- The original price is added monthly
Show answer and explanation
Answer: Taxes, insurance, and escrow adjustments can change
Fixed-rate describes the loan rate, not every tax, premium, assessment, or escrow component.
Which numbers and formulas are easy to confuse?
- Terms
- Principal vs. interest
- Difference
- Principal reduces the loan balance. Interest compensates the lender for extending credit.
- Question cue
- Debt reduction versus borrowing charge.
- Terms
- P&I vs. PITI
- Difference
- P&I is the loan payment component. PITI adds monthly property taxes and homeowner's insurance.
- Question cue
- Loan payment versus basic housing total.
- Terms
- Homeowner's insurance vs. mortgage insurance
- Difference
- Homeowner's insurance covers property-related risks under the policy. Mortgage insurance protects the lender or guarantor against specified loan-default risk.
- Question cue
- Property coverage versus loan-risk coverage.
- Terms
- PITI vs. PITIA
- Difference
- PITI names four basic components. PITIA is a broader qualifying housing expense that can include assessments, association dues, and other applicable items.
- Question cue
- Four-letter total versus underwriting total.
- Terms
- Tax obligation vs. escrow payment
- Difference
- The tax obligation is the amount due to the taxing authority. Escrow payment is the servicer's periodic collection toward expected disbursements.
- Question cue
- Underlying bill versus funding mechanism.
- Terms
- Insurance premium vs. escrow reserve
- Difference
- The premium buys coverage. The escrow balance holds borrower funds for future covered disbursements and permitted cushions.
- Question cue
- Coverage cost versus account balance.
- Terms
- Monthly escrow vs. initial escrow deposit
- Difference
- Monthly escrow is a recurring payment component. Initial escrow funding is an upfront closing amount that establishes the account.
- Question cue
- Recurring collection versus cash-to-close item.
- Terms
- PITI vs. cash to close
- Difference
- PITI estimates recurring monthly housing components. Cash to Close is the final settlement amount due from or to the consumer.
- Question cue
- Monthly payment versus closing ledger.
- Terms
- Fixed-rate P&I vs. fixed total payment
- Difference
- Fixed-rate scheduled P&I may stay level, while taxes, insurance, assessments, mortgage insurance, and escrow adjustments can change the total.
- Question cue
- Stable loan component versus variable housing total.
- Terms
- Exam estimate vs. Loan Estimate
- Difference
- An exam estimate uses simplified supplied numbers. The federal Loan Estimate is a prescribed disclosure based on the creditor's transaction data and rules.
- Question cue
- Classroom calculation versus regulated form.
What does the outline expect you to calculate?
- Topic
- Principal
- What to know
- Loan balance, borrowed amount, amortization, payment allocation, unpaid principal, reduction, note, monthly payment, and equity
- Best exam move
- Recognize principal as the debt-reduction component, not the original loan amount added each month.
- Topic
- Interest
- What to know
- Lender charge, note rate, unpaid balance, monthly interest, amortization, fixed rate, adjustable rate, payment allocation, and loan cost
- Best exam move
- Use the stated principal-and-interest payment unless the problem supplies enough information or a factor to calculate it.
- Topic
- Principal and interest payment
- What to know
- P&I, scheduled payment, amortized loan, monthly factor, payment per thousand, loan amount, term, rate, and projected payment
- Best exam move
- Keep P&I as one monthly line when the problem provides it and do not add the original principal again.
- Topic
- Property taxes
- What to know
- Annual property tax, monthly allocation, escrow item, tax authority, reassessment, installment, estimate, and one-twelfth
- Best exam move
- Divide the stated annual tax by 12 for a simplified monthly PITI contribution.
- Topic
- Homeowner's insurance
- What to know
- Annual premium, hazard insurance, property insurance, dwelling coverage, monthly allocation, escrow item, renewal, estimate, and one-twelfth
- Best exam move
- Divide the annual premium by 12 and keep it separate from mortgage insurance.
- Topic
- PITI formula
- What to know
- Principal, interest, taxes, insurance, monthly total, four components, addition, housing payment, and affordability
- Best exam move
- Add only monthly amounts and label the answer PITI.
- Topic
- Mortgage insurance
- What to know
- Private mortgage insurance, FHA mortgage insurance, monthly premium, upfront premium, borrower-paid coverage, loan program, projected payment, and termination
- Best exam move
- Add a monthly mortgage-insurance amount only when the problem asks for total housing expense or expressly includes it.
- Topic
- Flood and supplemental insurance
- What to know
- Flood insurance, supplemental property insurance, separate premium, hazard coverage, required policy, escrow, monthly amount, and PITIA
- Best exam move
- Place each stated applicable premium in the broader housing total without counting it twice as homeowner's insurance.
- Topic
- Association dues
- What to know
- HOA dues, condominium assessment, project dues, common area utilities, monthly charge, special assessment, qualifying housing expense, and PITIA
- Best exam move
- Keep association dues outside narrow PITI but include them when the requested qualifying total requires them.
- Topic
- PITIA
- What to know
- Principal, interest, taxes, insurance, assessments, association dues, ground rent, subordinate financing, mortgage insurance, and qualifying payment
- Best exam move
- Use the components expressly required by the applicable problem definition, not merely the acronym's letters.
- Topic
- Monthly payment factor
- What to know
- Payment per $1,000, loan amount, thousands of dollars, principal and interest, factor table, rate, term, multiplication, and monthly P&I
- Best exam move
- Divide the loan by $1,000, multiply by the supplied factor, then add other monthly housing components.
- Topic
- Reverse payment-factor problem
- What to know
- Known P&I, payment factor, loan in thousands, division, original loan amount, table, monthly payment, and verification
- Best exam move
- Divide P&I by the factor, then multiply the quotient by $1,000.
- Topic
- Escrow account
- What to know
- Servicer, tax, insurance, covered charge, monthly collection, disbursement, aggregate analysis, computation year, statement, and borrower funds
- Best exam move
- Treat escrow as the collection mechanism for stated items, not a fifth type of expense by itself.
- Topic
- Escrow cushion and shortage
- What to know
- Cushion, one-sixth, two months, shortage, deficiency, surplus, annual analysis, estimated disbursement, payment change, and Regulation X
- Best exam move
- Use a stated shortage or cushion calculation only when the question asks for escrow analysis, not basic PITI.
- Topic
- Prepaids versus monthly payment
- What to know
- Prepaid interest, first-year premium, initial escrow payment, closing cost, cash to close, recurring payment, coverage period, and duplicate counting
- Best exam move
- Do not add upfront prepaids or initial escrow funding to every monthly PITI payment.
- Topic
- Fixed versus changing components
- What to know
- Fixed-rate loan, adjustable rate, principal and interest, property tax increase, premium renewal, mortgage insurance, escrow analysis, and total-payment change
- Best exam move
- Identify which component is fixed rather than calling the entire housing payment fixed.
- Topic
- Unknown component
- What to know
- Known PITI, known P&I, tax, insurance, missing amount, subtraction, annualization, reverse formula, and budget
- Best exam move
- Subtract the known monthly components from the total, then annualize only if requested.
- Topic
- Disclosure boundary
- What to know
- Loan Estimate, Projected Payments, mortgage insurance, estimated escrow, taxes, insurance, assessments, Closing Disclosure, consumer review, and change
- Best exam move
- Follow the form's categories and projected periods for a disclosure question rather than forcing everything into PITI.
How should you drill this calculation?
- Session
- Session 1
- Focus
- Normalize payment periods
- Proof you are ready
- Convert 30 annual and monthly tax, insurance, and assessment facts without changing already-monthly amounts.
- Session
- Session 2
- Focus
- Calculate narrow PITI
- Proof you are ready
- Solve 20 P&I, tax, and homeowner's-insurance totals with every component on a separate line.
- Session
- Session 3
- Focus
- Build broader housing expense
- Proof you are ready
- Add applicable mortgage insurance, flood coverage, dues, assessments, and subordinate payments in 20 PITIA scenarios.
- Session
- Session 4
- Focus
- Use payment factors
- Proof you are ready
- Calculate 15 P&I payments and recover 15 loan amounts from supplied per-$1,000 factors.
- Session
- Session 5
- Focus
- Separate escrow and closing items
- Proof you are ready
- Classify 30 recurring escrow, initial escrow, prepaid, shortage, surplus, tax, and insurance amounts.
- Session
- Session 6
- Focus
- Complete a mixed PITI set
- Proof you are ready
- Score at least 90% and justify every time conversion, payment component, acronym boundary, factor unit, and change warning.
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.
Build speed without skipping the setup
From concept to decision
Drill this topic, then review the explanation
Pass Illinois gives you original national and Illinois questions, topic-by-topic study, clear explanations, timed practice, flashcards, progress tracking, and Math Coach. Start free, find the weak distinction, and focus the next session there.
Questions students ask about Mortgage Payment and PITI Formula: Examples and Practice
What does PITI stand for?
PITI stands for principal, interest, taxes, and insurance. The CFPB describes those as the four basic elements of a monthly mortgage payment. Principal reduces the loan balance, interest is the lender's charge, and tax and insurance amounts may be collected through escrow.
What is the PITI formula?
Monthly PITI equals monthly principal and interest plus monthly property taxes plus monthly homeowner's insurance. If the question gives annual tax or insurance, divide each annual figure by 12 before adding it to the monthly principal-and-interest payment.
How do you calculate monthly property taxes for PITI?
Divide the estimated annual property tax by 12 in a simplified problem. An annual tax of $7,200 contributes $600 per month. This monthly allocation is not a new tax calculation and does not change when the county bills installments during the year.
How do you calculate monthly homeowner's insurance for PITI?
Divide the stated annual premium by 12. A $1,800 annual premium contributes $150 per month. Use the premium and coverage costs stated in the problem; do not substitute a national average or an online quote.
Is mortgage insurance included in PITI?
Mortgage insurance is not one of the four letters in the narrow PITI acronym, but it can be part of the actual or qualifying total monthly housing payment. The CFPB's total-payment explanation adds mortgage insurance when applicable, and Fannie Mae's PITIA housing expense includes applicable mortgage insurance.
Are HOA dues included in PITI?
Not in narrow PITI. However, association or project dues can be included in a broader qualifying monthly housing expense. Current Fannie Mae PITIA guidance includes applicable owners' association dues and several other housing obligations. Follow the problem's requested total.
Is PITI the same as the total monthly housing expense?
Not always. Total housing expense may also include mortgage insurance, flood insurance, association dues, ground rent, special assessments, subordinate-financing payments, or other required items. State whether you calculated narrow PITI or a broader PITIA or disclosed total payment.
Does escrow change the amount of taxes and insurance?
Escrow changes how money is collected and disbursed, not the underlying tax or insurance obligation. Regulation X requires analysis of covered escrow accounts and permits adjustments for estimated disbursements, shortages, surpluses, deficiencies, and a limited cushion. The monthly escrow portion can therefore change.
Can the PITI payment change on a fixed-rate mortgage?
Yes. The scheduled principal-and-interest payment on a fully amortizing fixed-rate loan may remain fixed, but property taxes, insurance, mortgage insurance, assessments, or escrow shortage repayment can change the total amount. Fixed interest does not freeze every housing cost.
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, CFPB guidance, Regulations X and Z, and current Fannie Mae housing-expense guidance were checked through August 1, 2026.
Primary sources
- PSI Illinois Candidate Information Booklet dated June 24, 2026
- Consumer Financial Protection Bureau, current PITI explanation
- Consumer Financial Protection Bureau, current principal-and-interest versus total-payment explanation
- Consumer Financial Protection Bureau, current Loan Estimate explainer
- Consumer Financial Protection Bureau, current Regulation Z Section 1026.37 Loan Estimate requirements
- Consumer Financial Protection Bureau, current Regulation X Section 1024.17 escrow-account requirements
- Fannie Mae Selling Guide B3-6-03, current monthly housing expense and PITIA guidance
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.