How the Mortgage Points Calculator Works (Step-by-Step Calculation Engine)
Our calculator uses standard actuarial amortization formulas to determine the precise breakeven horizon and lifetime net savings of buying down your interest rate.
Cost = Loan Amount * (Discount Points / 100)Example: $400,000 * (1.0 / 100) = $4,000
Reduced Rate = Base Rate - (Discount Points * Rate Cut per Point)Example: 6.75% - (1.0 * 0.25%) = 6.50%
The standard formula
M = P * (r(1+r)^n) / ((1+r)^n - 1) is used to calculate the Base Payment (M0) and Reduced Payment (M1).Monthly Savings = M0 - M1
Breakeven Months = Upfront Point Cost / Monthly SavingsBreakeven Years = Breakeven Months / 12
Understanding Mortgage Discount Points
Mortgage discount points, or simply "points", are fees paid directly to the lender at closing in exchange for a reduced interest rate. This practice is also called "buying down the rate." One point costs 1 percent of your total mortgage amount.
Are Points Tax Deductible?
In many cases, yes. According to IRS Section 461(g), discount points paid on a loan to purchase or build your primary residence are generally fully deductible in the year they were paid. If you are refinancing or buying an investment property, you typically have to amortize the deduction over the life of the loan. Consult a tax professional for your specific situation.
Seller-Paid Points vs. Price Cuts
When negotiating a home purchase, you might ask the seller for concessions. Getting the seller to pay for your mortgage points (a rate buydown) is often much more valuable over the long term than a simple reduction in the home's purchase price, because it lowers your monthly interest compounding for up to 30 years.
Sensitivity Matrix: Time to Breakeven by Loan Amount
Assuming a 30-year fixed term, a 6.75% base rate, and 0.25% reduction per point.
| Loan Amount | 0.5 Points (0.125% cut) | 1.0 Points (0.250% cut) | 1.5 Points (0.375% cut) | 2.0 Points (0.500% cut) |
|---|---|---|---|---|
| $300,000 | 59.8 Months (5.0 Yrs) | 60.6 Months (5.1 Yrs) | 61.5 Months (5.1 Yrs) | 62.4 Months (5.2 Yrs) |
| $450,000 | 59.8 Months (5.0 Yrs) | 60.6 Months (5.1 Yrs) | 61.5 Months (5.1 Yrs) | 62.4 Months (5.2 Yrs) |
| $600,000 | 59.8 Months (5.0 Yrs) | 60.6 Months (5.1 Yrs) | 61.5 Months (5.1 Yrs) | 62.4 Months (5.2 Yrs) |
| $750,000 | 59.8 Months (5.0 Yrs) | 60.6 Months (5.1 Yrs) | 61.5 Months (5.1 Yrs) | 62.4 Months (5.2 Yrs) |
Notice that the breakeven timeframe (in months) remains virtually identical regardless of the loan size. The primary variables that shift breakeven dates are the base interest rate and the lender's rate-cut multiplier.
50-State Mortgage Discount Points & Breakeven Benchmark Directory (2026)
Baseline scenario: 80% LTV conventional financing on median home prices, 6.75% base rate, purchasing 1.0 discount point for 0.25% rate reduction (6.50%). Complete data for all 50 states plus Washington D.C.
| State | Rank | Median Price | 80% Loan | 1.0 Pt Cost | Base P&I (6.75%) | Reduced P&I (6.50%) | Monthly Savings | Breakeven | 5-Yr Net | 10-Yr Net |
|---|---|---|---|---|---|---|---|---|---|---|
| Hawaii | #1 | $850,000 | $680,000 | $6,800 | $4,410 | $4,298 | +$112/mo | 60.5 mos (5.0 yrs) | $-56 | $6,689 |
| California | #2 | $785,000 | $628,000 | $6,280 | $4,073 | $3,969 | +$104/mo | 60.5 mos (5.0 yrs) | $-51 | $6,177 |
| District of Columbia | #3 | $625,000 | $500,000 | $5,000 | $3,243 | $3,160 | +$83/mo | 60.5 mos (5.0 yrs) | $-41 | $4,918 |
| Massachusetts | #4 | $610,000 | $488,000 | $4,880 | $3,165 | $3,084 | +$81/mo | 60.5 mos (5.0 yrs) | $-40 | $4,800 |
| Washington | #5 | $595,000 | $476,000 | $4,760 | $3,087 | $3,009 | +$79/mo | 60.5 mos (5.0 yrs) | $-39 | $4,682 |
| Colorado | #6 | $545,000 | $436,000 | $4,360 | $2,828 | $2,756 | +$72/mo | 60.5 mos (5.0 yrs) | $-36 | $4,289 |
| New Jersey | #7 | $515,000 | $412,000 | $4,120 | $2,672 | $2,604 | +$68/mo | 60.5 mos (5.0 yrs) | $-34 | $4,052 |
| Utah | #8 | $515,000 | $412,000 | $4,120 | $2,672 | $2,604 | +$68/mo | 60.5 mos (5.0 yrs) | $-34 | $4,052 |
| Oregon | #9 | $490,000 | $392,000 | $3,920 | $2,543 | $2,478 | +$65/mo | 60.5 mos (5.0 yrs) | $-32 | $3,856 |
| Montana | #10 | $460,000 | $368,000 | $3,680 | $2,387 | $2,326 | +$61/mo | 60.5 mos (5.0 yrs) | $-30 | $3,620 |
| New Hampshire | #11 | $450,000 | $360,000 | $3,600 | $2,335 | $2,275 | +$60/mo | 60.5 mos (5.0 yrs) | $-30 | $3,541 |
| Idaho | #12 | $445,000 | $356,000 | $3,560 | $2,309 | $2,250 | +$59/mo | 60.5 mos (5.0 yrs) | $-29 | $3,502 |
| Rhode Island | #13 | $445,000 | $356,000 | $3,560 | $2,309 | $2,250 | +$59/mo | 60.5 mos (5.0 yrs) | $-29 | $3,502 |
| Nevada | #14 | $440,000 | $352,000 | $3,520 | $2,283 | $2,225 | +$58/mo | 60.5 mos (5.0 yrs) | $-29 | $3,462 |
| New York | #15 | $440,000 | $352,000 | $3,520 | $2,283 | $2,225 | +$58/mo | 60.5 mos (5.0 yrs) | $-29 | $3,462 |
| Arizona | #16 | $435,000 | $348,000 | $3,480 | $2,257 | $2,200 | +$58/mo | 60.5 mos (5.0 yrs) | $-29 | $3,423 |
| Maryland | #17 | $415,000 | $332,000 | $3,320 | $2,153 | $2,098 | +$55/mo | 60.5 mos (5.0 yrs) | $-27 | $3,266 |
| Florida | #18 | $395,000 | $316,000 | $3,160 | $2,050 | $1,997 | +$52/mo | 60.5 mos (5.0 yrs) | $-26 | $3,108 |
| Virginia | #19 | $395,000 | $316,000 | $3,160 | $2,050 | $1,997 | +$52/mo | 60.5 mos (5.0 yrs) | $-26 | $3,108 |
| Connecticut | #20 | $385,000 | $308,000 | $3,080 | $1,998 | $1,947 | +$51/mo | 60.5 mos (5.0 yrs) | $-25 | $3,030 |
| Maine | #21 | $370,000 | $296,000 | $2,960 | $1,920 | $1,871 | +$49/mo | 60.5 mos (5.0 yrs) | $-24 | $2,911 |
| Alaska | #22 | $365,000 | $292,000 | $2,920 | $1,894 | $1,846 | +$48/mo | 60.5 mos (5.0 yrs) | $-24 | $2,872 |
| Vermont | #23 | $365,000 | $292,000 | $2,920 | $1,894 | $1,846 | +$48/mo | 60.5 mos (5.0 yrs) | $-24 | $2,872 |
| Delaware | #24 | $360,000 | $288,000 | $2,880 | $1,868 | $1,820 | +$48/mo | 60.5 mos (5.0 yrs) | $-24 | $2,833 |
| Wyoming | #25 | $345,000 | $276,000 | $2,760 | $1,790 | $1,745 | +$46/mo | 60.5 mos (5.0 yrs) | $-23 | $2,715 |
| Minnesota | #26 | $335,000 | $268,000 | $2,680 | $1,738 | $1,694 | +$44/mo | 60.5 mos (5.0 yrs) | $-22 | $2,636 |
| North Carolina | #27 | $330,000 | $264,000 | $2,640 | $1,712 | $1,669 | +$44/mo | 60.5 mos (5.0 yrs) | $-22 | $2,597 |
| Georgia | #28 | $325,000 | $260,000 | $2,600 | $1,686 | $1,643 | +$43/mo | 60.5 mos (5.0 yrs) | $-21 | $2,557 |
| Tennessee | #29 | $320,000 | $256,000 | $2,560 | $1,660 | $1,618 | +$42/mo | 60.5 mos (5.0 yrs) | $-21 | $2,518 |
| Texas | #30 | $315,000 | $252,000 | $2,520 | $1,634 | $1,593 | +$42/mo | 60.5 mos (5.0 yrs) | $-21 | $2,479 |
| New Mexico | #31 | $305,000 | $244,000 | $2,440 | $1,583 | $1,542 | +$40/mo | 60.5 mos (5.0 yrs) | $-20 | $2,400 |
| South Dakota | #32 | $305,000 | $244,000 | $2,440 | $1,583 | $1,542 | +$40/mo | 60.5 mos (5.0 yrs) | $-20 | $2,400 |
| South Carolina | #33 | $300,000 | $240,000 | $2,400 | $1,557 | $1,517 | +$40/mo | 60.5 mos (5.0 yrs) | $-20 | $2,361 |
| Wisconsin | #34 | $285,000 | $228,000 | $2,280 | $1,479 | $1,441 | +$38/mo | 60.5 mos (5.0 yrs) | $-19 | $2,243 |
| Pennsylvania | #35 | $275,000 | $220,000 | $2,200 | $1,427 | $1,391 | +$36/mo | 60.5 mos (5.0 yrs) | $-18 | $2,164 |
| Illinois | #36 | $265,000 | $212,000 | $2,120 | $1,375 | $1,340 | +$35/mo | 60.5 mos (5.0 yrs) | $-17 | $2,085 |
| North Dakota | #37 | $260,000 | $208,000 | $2,080 | $1,349 | $1,315 | +$34/mo | 60.5 mos (5.0 yrs) | $-17 | $2,046 |
| Nebraska | #38 | $255,000 | $204,000 | $2,040 | $1,323 | $1,289 | +$34/mo | 60.5 mos (5.0 yrs) | $-17 | $2,007 |
| Michigan | #39 | $245,000 | $196,000 | $1,960 | $1,271 | $1,239 | +$32/mo | 60.5 mos (5.0 yrs) | $-16 | $1,928 |
| Missouri | #40 | $245,000 | $196,000 | $1,960 | $1,271 | $1,239 | +$32/mo | 60.5 mos (5.0 yrs) | $-16 | $1,928 |
| Indiana | #41 | $240,000 | $192,000 | $1,920 | $1,245 | $1,214 | +$32/mo | 60.5 mos (5.0 yrs) | $-16 | $1,889 |
| Alabama | #42 | $225,000 | $180,000 | $1,800 | $1,167 | $1,138 | +$30/mo | 60.5 mos (5.0 yrs) | $-15 | $1,770 |
| Kansas | #43 | $225,000 | $180,000 | $1,800 | $1,167 | $1,138 | +$30/mo | 60.5 mos (5.0 yrs) | $-15 | $1,770 |
| Ohio | #44 | $225,000 | $180,000 | $1,800 | $1,167 | $1,138 | +$30/mo | 60.5 mos (5.0 yrs) | $-15 | $1,770 |
| Iowa | #45 | $220,000 | $176,000 | $1,760 | $1,142 | $1,112 | +$29/mo | 60.5 mos (5.0 yrs) | $-14 | $1,731 |
| Louisiana | #46 | $215,000 | $172,000 | $1,720 | $1,116 | $1,087 | +$28/mo | 60.5 mos (5.0 yrs) | $-14 | $1,692 |
| Kentucky | #47 | $210,000 | $168,000 | $1,680 | $1,090 | $1,062 | +$28/mo | 60.5 mos (5.0 yrs) | $-14 | $1,652 |
| Arkansas | #48 | $205,000 | $164,000 | $1,640 | $1,064 | $1,037 | +$27/mo | 60.5 mos (5.0 yrs) | $-13 | $1,613 |
| Oklahoma | #49 | $205,000 | $164,000 | $1,640 | $1,064 | $1,037 | +$27/mo | 60.5 mos (5.0 yrs) | $-13 | $1,613 |
| Mississippi | #50 | $185,000 | $148,000 | $1,480 | $960 | $935 | +$24/mo | 60.5 mos (5.0 yrs) | $-12 | $1,456 |
| West Virginia | #51 | $165,000 | $132,000 | $1,320 | $856 | $834 | +$22/mo | 60.5 mos (5.0 yrs) | $-11 | $1,298 |
Persona Worked Example
Meet Maya and Jordan. They are buying a $450,000 house in Denver, Colorado. They plan to live there for at least 10 years as their children grow up. Their lender offers a 6.75% 30-year fixed rate, but gives them the option to buy 1.5 points for $6,750 upfront.
- Base Payment: $2,918/mo
- New Rate (6.375%): $2,807/mo
- Monthly Savings: $111/mo
- Breakeven: 60.8 Months (About 5.1 Years)
Since they plan to stay for 10 years (120 months), they will accumulate $13,320 in gross savings. Subtracting the $6,750 upfront cost, their net financial benefit is $6,570. Buying points was a highly favorable decision for them.
Limitations and Risks
Refinancing Risk: If mortgage rates drop significantly across the broader economy and you choose to refinance before reaching your breakeven point, the unamortized upfront cost of your points is lost.
Opportunity Cost: Paying thousands in cash upfront means you cannot invest that money elsewhere. If the stock market yields 8% annually, the "true" breakeven date of mortgage points is actually further out than simple math implies.
Adjustable-Rate Mortgages (ARMs): Points bought on an ARM usually only discount the initial fixed period, heavily altering the breakeven math once the loan begins floating.