Texas exam calculator

Discount points calculator, from one-point math to a transparent break-even.

Calculate discount and origination charges, solve backward from dollars, and compare actual fixed-rate quotes without assuming that one point always buys the same rate reduction.

Quick answer

One point equals 1% of the loan amount. That fixes the dollar cost, not the interest-rate reduction. Calculate the fee from the loan, keep discount points separate from origination charges, and use actual matched rates for a real break-even comparison.

One point1% of the loan

A point uses the loan amount, not the purchase price, down payment, or a flat dollar amount.

Point costLoan x points / 100

Two points equal 2% of the loan. Fractional points such as 0.375 and 1.5 are valid.

Reverse pointsDollars / loan x 100

Divide a dollar point charge by the loan amount, then convert the decimal to a percentage.

Discount pointsLower-rate charge

Discount points are connected to a lower interest rate when shown as Points on federal mortgage disclosures.

Origination chargesLender fees

Origination points or fees pay for making or processing the loan and do not automatically reduce the rate.

Simple break-evenCost / monthly savings

Use actual matched quotes. The result is a rough cash-flow estimate, not a complete financial recommendation.

Calculator

Price the points first. Then decide what the quote actually buys.

Try an example:
What are you solving?

Use the direct exam formula, solve backward from dollars, or compare two actual fixed-rate quotes.

Points use the loan amount, not the purchase price or down payment.

Paid for a lower quoted interest rate.

A separate lender charge that does not automatically lower the rate.

One point equals 1% of the loan amount. That definition fixes the dollar cost, not the interest-rate reduction. For a real comparison, use actual same-day quotes with the same loan type, term, balance, and lender assumptions.
Discount points cost
$6,000.00
2.000 total points x $3,000.00 per point.
Cost of one point$3,000.00
Discount points2.000
Discount cost$6,000.00
Origination cost$0.00
Base proof

$300,000.00 loan x 1% = $3,000.00 for one point.

Discount proof

2.000 discount points x $3,000.00 = $6,000.00.

Fee-type proof

Discount points are tied to a lower rate. Origination points are lender charges. Both can use the loan amount as a percentage base, but they are not interchangeable.

Rate proof

The calculator does not assign a rate reduction to these points. Current consumer guidance says the rate effect depends on the lender, loan type, and market.

Loan amountThe percentage base
$300,000.00
Cost of one pointLoan amount x 1%
$3,000.00
Discount points cost2.000 points x $3,000.00
$6,000.00
Origination points cost0.000 points x $3,000.00
$0.00
Combined point charges2.000 total points
$6,000.00
Fixed dollar definition

One point always means 1% of the loan.

That is why a point costs $2,000 on a $200,000 loan and $5,000 on a $500,000 loan. It is not a flat dollar fee.

Variable rate effect

One point does not buy a fixed rate change.

Use the rate shown in the actual quote or exam question. Do not automatically convert a point into a 0.125%, 0.25%, or any other rate reduction.

Money is rounded to cents and points to three decimal places. This calculation does not decide whether paying points is a good financial choice.

Save it

Email the point proof and comparison.

Keep the loan base, fee type, quoted rates, payment difference, and break-even assumptions together.

Email verification is temporarily unavailable.

Open the discount points cheat sheet
Mini quiz

Try five discount-point traps without the calculator.

1/5

A borrower pays 2 discount points on a $240,000 loan. What do the points cost?

Four decision checks

Answer these before multiplying by a point rate.

The arithmetic is short. The real mistakes come from the wrong base, fee type, quote, or payment method.

01

What is the actual loan amount?

If the problem gives a purchase price and down payment, calculate the loan first. Every point is a percentage of that loan amount.

02

Is the charge discount or origination?

Both can be quoted as a percentage of the loan, but only discount points are connected to a lower rate. Keep the labels separate.

03

Are the rate quotes truly comparable?

Use the same loan amount, term, fixed or adjustable structure, product, and lender assumptions. A lower rate alone does not prove a better offer.

04

Are the points paid in cash or financed?

Cash-paid points create an upfront break-even question. Financed points increase the loan balance and require a different payment and interest comparison.

Worked examples

Six discount-point patterns worth knowing cold.

These cover the current exam formula and the quote-comparison skills that make the calculator useful beyond a single test question.

Direct point cost
Core exam setup

$300,000 loan and 2 discount points

$300,000 x 2%
$6,000 discount-point cost

Two points means 2% of the loan, not 2% of the purchase price.

Find the loan first
Two-step trap

$400,000 price, 20% down, 1.5 points

$400,000 x 80% x 1.5%
$4,800 point cost

The loan is $320,000. Applying points to $400,000 would be wrong.

Combined charges
Fee labels

$300,000 loan, 1.5 discount points, 1 origination point

$4,500 + $3,000
$7,500 combined point charges

Show the two charges separately before adding them.

Reverse points
Solve backward

$4,500 charge on a $300,000 loan

$4,500 / $300,000 x 100
1.5 points

The wording must still identify whether the charge is discount or origination.

Simple break-even
Quote comparison

$6,000 points and $100 monthly P&I savings

$6,000 / $100
60 months, or 5 years

This is a rough cash-flow estimate. It does not capture every loan cost or future decision.

Fractional points
CFPB example

$180,000 loan and 0.375 points

$180,000 x 0.375%
$675 point cost

Do not round fractional points to a whole number.

The fixed part

The point cost is exact.

A stated number of points always converts to the same percentage of the loan. Two points are 2%, whether the loan is $100,000 or $900,000.

The variable part

The rate reduction is quote-specific.

CFPB guidance says the rate effect depends on the lender, loan type, and market. A universal rate change per point would make a calculator look precise while teaching the wrong rule.

Mistakes students make

Six discount-point mistakes that turn clean math into a wrong conclusion.

Use this list as the final check before choosing an answer or comparing a loan quote.

Base error

Applying points to the purchase price

Points are based on the loan. When price and down payment are given, calculate the financed amount before applying points.

Flat-fee error

Treating one point as $1,000

One point is $1,000 only on a $100,000 loan. Its dollar cost changes with the loan balance.

Rate error

Assigning a fixed rate change to one point

Current CFPB guidance says the rate effect varies by lender, loan type, and market. Use the actual quote or value supplied by the question.

Type error

Calling every lender charge a discount point

Origination charges and discount points can both be percentages of the loan. Only the discount charge is connected to a lower rate.

Comparison error

Comparing unmatched loan offers

Different balances, terms, loan products, or adjustable-rate features can make a payment comparison misleading.

Break-even error

Treating the rough estimate as a complete answer

Holding period, refinancing, remaining balance, other closing costs, taxes, and the use of cash can all change the real decision.

Current exam scope

Discount points sit inside one scored loan-financing math item.

The January 2026 edition of Pearson VUE's current salesperson outline assigns one of seven real estate math items to loan financing costs. It lists interest, LTV, fees, amortization, discount points, and prepayment penalties. It does not publish a fixed rate reduction per point.

What does the current Texas real estate exam outline say about discount points?+

The January 2026 edition of Pearson VUE's current salesperson outline assigns one of seven real estate math items to loan financing costs. That subsection includes interest, LTV, fees, amortization, discount points, and prepayment penalties. The outline does not publish a fixed interest-rate change per point.

How do you calculate the cost of discount points?+

Multiply the loan amount by the number of points divided by 100. One point is 1% of the loan, so 1.5 points on a $300,000 loan costs $4,500.

Does one discount point always reduce the rate by the same amount?+

No. The point always costs 1% of the loan, but current CFPB guidance says the rate reduction depends on the lender, loan type, and mortgage market. Use actual quoted rates or the specific conversion stated in an exam question.

What is the difference between discount points and origination points?+

Discount points are paid in exchange for a lower interest rate. Origination points or fees compensate the lender for making or processing the loan and do not automatically reduce the rate. Both may be calculated as a percentage of the loan.

Where are mortgage points shown on the Loan Estimate?+

The CFPB explains that Points appear on page 2, Section A of the Loan Estimate and Closing Disclosure. Points shown there must be connected to a discounted interest rate. Other origination charges can appear separately in the same section.

How do you calculate a discount-point break-even period?+

A common rough estimate divides cash-paid point cost by monthly principal-and-interest savings. If points cost $6,000 and save $100 per month, the simple break-even is 60 months. The estimate does not include every financial factor.

What changes when discount points are financed?+

Financing points increases the starting loan balance and usually adds interest to the point charge. A simple upfront-cash break-even is no longer the right comparison. Check the new payment, balance, interest, and loan-program rules.

Do points affect APR?+

Yes. The CFPB explains that APR reflects the interest rate plus points and certain other loan charges. APR is broader than the note rate, but it should not be used by itself to compare unlike loan products.

Can this calculator tell me whether I should pay points?+

No. The comparison is educational. A real decision requires current Loan Estimates, eligibility rules, cash needs, expected holding period, refinancing plans, tax questions, other fees, and advice appropriate to the borrower.

Try it without help

A buyer pays 15% down on a $360,000 purchase and is charged 1.25 discount points. What is the cost of the points?

Loan amount: $360,000 x 85% = $306,000. Point cost: $306,000 x 1.25% = $3,825. The purchase price is not the point base.

Practice after calculating

The calculator explains the setup.
The app builds the reflex.

Pass Texas includes 1,377 Texas-specific questions, Math Coach, Trap Library drills, and offline access for one $59.99 purchase. No subscription. No copied exam questions. No fake reviews.

iPhone, iPad, and Android. Lifetime access for one $59.99 purchase. No subscription. No copied exam questions.

Primary sources: Pearson VUE Texas Real Estate Content Outline #094401, CFPB discount-points guidance, CFPB Loan Estimate explainer, and CFPB discount-point data spotlight. This page is for exam preparation and educational comparison, not lending, tax, legal, or financial advice.