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Mortgage Points Calculator

Estimate discount point cost, lower-rate payment savings, break-even months, net savings during your expected stay, and lifetime savings after point cost.

Published

Break-even point
Break-even point
62 months
Upfront point cost
$5,000.00
New interest rate
6%
Monthly savings
$81.29
Payment without points
$1,580.17
Payment with points
$1,498.88
Net savings after 10 years
$4,755.25
Lifetime savings after point cost
$24,265.75

Buying 2 points costs $5,000.00 and saves about $81.29 per month.

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Results update as you type.

Mortgage Points Calculator

Mortgage points are a pricing trade: pay more upfront to receive a lower interest rate. This calculator estimates whether that trade has enough time to work. It computes the point cost, reduces the rate by the discount you enter, calculates the payment with and without points, and reports monthly savings, break-even months, net savings over your expected holding period, and lifetime savings after the point cost.

The page is different from the mortgage refinance calculator, which compares a current loan with a replacement loan and closing costs. It is also different from the mortgage interest calculator, which focuses on interest for a given loan structure. Points analysis asks a narrower question: is paying cash at closing to buy down the rate better than keeping the cash and accepting the higher payment? Use it alongside the mortgage calculator, loan calculator, and compound interest calculator when comparing alternatives.

Inputs and what they mean

Loan amount is the principal used for the mortgage payment. Mortgage term is the amortization length in years. Rate without points is the quote before buying down the rate. Mortgage points is the number of discount points offered. Rate discount per point is the percentage-point reduction for each point. Expected time before selling or refinancing is how long you think you will keep this exact loan.

The calculator assumes one point costs 1% of the loan amount. It does not assume a universal rate discount; you enter that number because lender pricing changes by market, borrower profile, lock period, loan type, and day. If two lenders quote the same rate but one has points and the other does not, compare the total Loan Estimate rather than treating points as the only difference.

Formula and mechanics

The point cost is:

point cost=loan amount×points100\text{point cost} = \text{loan amount} \times \frac{\text{points}}{100}

The discounted rate is:

discounted rate=base rate−(points×discount per point)\text{discounted rate} = \text{base rate} - \left(\text{points} \times \text{discount per point}\right)

The calculator floors the discounted rate at zero. Both payments use the same fixed-rate mortgage formula:

payment=P×i(1+i)n(1+i)n−1\text{payment} = P \times \frac{i(1+i)^n}{(1+i)^n - 1}

Monthly savings are:

monthly savings=payment without points−payment with points\text{monthly savings} = \text{payment without points} - \text{payment with points}

Break-even is:

break-even months=point costmonthly savings\text{break-even months} = \frac{\text{point cost}}{\text{monthly savings}}

Net savings during your expected stay are:

net savings=monthly savings×months kept−point cost\text{net savings} = \text{monthly savings} \times \text{months kept} - \text{point cost}

Lifetime savings after point cost subtract the point cost from the full-term interest reduction. That number is useful only if you actually keep the mortgage for the whole term.

Checking a mortgage points scenario

Assume a $250,000 mortgage, a 30-year term, a 6.5% rate without points, 2 points, a 0.25 percentage-point rate discount per point, and an expected 10-year stay. The point cost is $250,000 multiplied by 2 divided by 100, or $5,000. The discounted rate is 6.5% minus 2 times 0.25%, which equals 6.0%.

At 6.5% for 360 months, the payment without points is $1,580.17. At 6.0% for the same 360 months, the payment with points is $1,498.88. Monthly savings are $81.29. Dividing the $5,000 point cost by $81.29 gives 61.51 months, and the calculator rounds up to a 62-month break-even point.

For the 10-year stay input, the calculator uses 120 months. Payment savings over that period are $81.29 times 120, or about $9,755.25. After subtracting the $5,000 point cost, net savings after 10 years are about $4,755.25. Over the full 30-year term, interest savings after point cost are about $24,265.75. Those full-term savings disappear if you refinance or sell much earlier.

When buying points may help

Buying points can make sense when you have the cash, the rate reduction is meaningful, and you expect to keep the mortgage well beyond break-even. It can be especially attractive for borrowers who want a lower required payment for budgeting but do not want to extend the term. Points can also be easier to evaluate than a vague “no-cost” offer because the calculator separates the cost from the monthly savings.

Points may be unattractive if you expect to sell, refinance, or pay off the mortgage before break-even. They can also compete with a larger down payment, emergency savings, moving costs, repairs, or paying down higher-rate debt. If buying points leaves you cash-poor, the lower payment may not be worth the reduced flexibility. Compare points with lender credits as well: a higher rate with a credit may be better for short holding periods, while points favor longer holding periods.

Tips for comparing quotes

Ask each lender for the no-point rate, the cost for each point option, and the resulting payment. Compare quotes on the same lock date and lock period. Review the Loan Estimate to separate points from origination charges, appraisal fees, title charges, escrow deposits, and prepaid interest. A point is not automatically good or bad; it is a price for a lower rate.

Finally, remember that APR can help compare loan costs but may not answer your exact holding-period question. The calculator’s break-even and net-savings figures are more direct when you already have a likely sale or refinance horizon. This calculator is educational and is not financial or tax advice.

Method scope and source version

Jurisdiction-neutral loan mathematics; lender contracts, disclosures, taxes, insurance, PMI, and compounding conventions vary. Evergreen method only; defaults/examples must not be represented as current market, legal, tax, or institutional data. The sources below support the stated method and definitions; they do not supply a live rate, quote, legal conclusion, lender offer, or institution-specific policy.

Sources

Frequently asked questions

What are mortgage points?
Mortgage points are upfront fees connected to the interest rate. Discount points are paid to buy down the rate, while some other point-like charges may simply be lender fees. This calculator models discount points only: a cost today exchanged for a lower monthly payment.
How much does one point cost in this calculator?
One point costs one percent of the loan amount. The calculator multiplies the loan amount by points divided by 100, so two points on a $250,000 mortgage cost $5,000. It does not add separate lender fees or prepaid escrow items.
How is the points break-even point found?
Break-even equals upfront point cost divided by monthly payment savings. The calculator rounds the result up to whole months. If the rate discount does not lower the payment, there is no break-even because the upfront cost is not recovered through monthly savings.
Why does expected time before selling or refinancing matter?
Points only pay off if you keep the loan long enough to collect enough monthly savings. The calculator multiplies monthly savings by the months you expect to keep the mortgage and subtracts the point cost, showing whether the stay is long enough.
Are mortgage points tax deductible?
Sometimes points may have tax treatment, but this calculator does not model taxes, APR rules, or itemized deductions. Ask a qualified tax professional about your loan and filing situation. The result here is informational, not tax or financial advice.

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