Real Estate Investing

Mortgage Points Calculator

Free mortgage points calculator: price every point level, see the monthly saving, the break-even month, the true APR and the net cash at your exit.

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What is Mortgage Points Calculator?

A discount point is prepaid interest. You hand the lender cash at closing and, in exchange, the note rate on your mortgage comes down. One point costs one percent of the loan amount and, on most conventional quotes, takes a quarter of a percent off the rate. On the default example here — a 400,000 purchase with 40,000 down, so a 360,000 loan quoted at 6.75 percent — one point costs 3,600 and moves the rate to 6.50 percent, cutting the payment from 2,334.95 to 2,275.44 a month. That saving is real, but it arrives slowly: 59.51 a month, so the fee has only been recovered around month 61. Points are therefore a bet on how long you keep the loan. Sell, refinance or payoff before break-even and you simply gave the fee away. Stay well past it and every month after break-even is pure gain from the lower rate. This calculator prices every level from zero up to the number you choose, solves the true Regulation Z APR for each one, reports the net cash position at the exact month you plan to leave, and shows how the whole answer shifts when your stay changes.

When to Use This Calculator

  • When a quote sheet puts one, two and three point options in front of you and nobody has told you which one actually earns its keep.
  • When you expect to sell or refinance within five to seven years and you need to know whether the fee is recovered before you go.
  • When two lenders quote the same note rate with different point costs, and you want one comparable number instead of two marketing figures.
  • When you have extra cash at closing and are weighing points against a larger down payment, and you want the trade expressed in months.
  • When you want the Regulation Z true APR for each level, because the headline rate alone hides what prepaid interest does to the cost of the loan.
  • When you are about to negotiate and want the break-even month as leverage, since it shows how long the lender waits before the fee pays for itself.

Steps:

  1. Set the price and the down payment. The difference is the loan amount, and every point fee in this calculator is charged as a percentage of that figure rather than of the purchase price.
  2. Enter the note rate your lender quoted before any points, then set how many point levels you want priced. Zero to three covers nearly every quote sheet, and the calculator adds one row for each level.
  3. Set the pricing: how much each point cuts the rate and what each point costs as a share of the loan. One percent for one point at a quarter-percent rate cut is the market standard, but both figures are negotiable and both are editable.
  4. Enter your honest stay in months — the month you would sell, refinance or payoff. This is the single input that decides whether points are clever or expensive, so use the date on your calendar rather than the 30-year term on the note.
  5. Read the headline: points to buy, monthly saving, break-even month and true APR. The verdict line beneath it states the cash position in plain language for the stay you entered.
  6. Open the comparison table to see every level priced side by side on rate, payment, saving, fee, break-even, true APR and net gain, then flip to the chart to see the shape of the trade.
  7. Switch to the break-even mode for the grid that sweeps every point level against twelve, twenty-four, thirty-six, sixty, one hundred and twenty, one hundred and eighty and three hundred and sixty months of ownership.
  8. Finish in the APR mode if you are comparing offers rather than making a decision. It isolates the note rate, the rate you actually earned, the fee and the gap between the two.

Formula

Loan: L = P - D Rate: r(n) = max(0, r0 - n * dr) Payment: M = L * i / (1 - (1 + i)^-N) where i = r / 12 and N = 12 * years Point fee: C = L * (p / 100) * n Saving: S = M0 - M(n) where M0 is the payment at the note rate Break-even:B = ceil(C / S) Net at k: Net(k) = S * k - C APR: solve L - C = sum of M(n) discounted at the monthly APR rate, then annualise by times 12

Use Cases

  • Your lender has put a quote sheet in front of you with one, two and three point options and you need to know which of them actually earns its keep over the years you expect to stay.
  • You are three to five years from a likely refinance or relocation and want to check whether the lower payment recovers the fee before you go.
  • Two lenders have quoted the same note rate but different point costs, and you want a single comparable number instead of two sets of marketing figures.
  • You have spare cash at closing and are choosing between putting it into points or into a larger down payment, and you want the trade measured in months rather than asserted.
  • You want the Regulation Z true APR for each point level, because the headline rate alone hides what prepaid interest does to the real cost of the loan.
  • You are negotiating and need the break-even month as a lever: knowing how long the lender has to wait for the fee to be recovered tells you how much room there is to move.

Key Benefits

  • Prices every point level from zero to your ceiling instead of only the option on the quote sheet, so the comparison is always against taking no points at all.
  • Solves the true Regulation Z APR for each level from the actual cash stream and the amount financed, which is the only figure that makes a point-heavy offer comparable with a clean one.
  • Reports break-even as a whole month and then measures it directly against the stay you entered, rather than leaving you to compare a fee and a payment in your head.
  • Separates the three decisions that usually get tangled: how much to borrow, how many points to buy and how long you will keep the loan, each on its own input with its own visible effect.
  • Sweeps the full grid of point levels against seven different horizons at once, so you can see the whole trade before committing rather than re-running the calculation for every guess.
  • Leaves the pricing editable. Rate cut per point and cost per point are both inputs, so a quote that breaks the one-point-per-quarter-percent convention can be entered exactly as quoted.

Pro Tips

  • Enter the stay from your calendar, not from the note. The single most common error in this decision is answering with the 30-year term when the real plan is closer to five.
  • Play with the rate cut per point before you accept a quote. Some programs pay less than a quarter-percent for a point, and at an eighth the same fee stops being attractive on almost any horizon.
  • Read break-even before you read the payment. The payment tells you what you will feel each month; break-even tells you whether the fee ever comes back to you.
  • Use the grid in break-even mode to stress test the decision against a 36-month and a 60-month exit. If the answer only works at 180 months, you are paying for a stay you may not have.
  • Price the no-point option explicitly. The zero row is the honest baseline, and it is the row your decision is actually against — not the other point levels.
  • Check the APR mode when two lenders quote the same note rate. That is the only place the point fee and the rate cut are netted into one comparable number.

Common Mistakes to Avoid

  • Judging points by the payment alone. On the default preset two points cut the payment by 118.37 a month and still cost 7,200 up front — a payment improvement that looks generous and a fee that only starts paying back at month 61.
  • Assuming the 30-year term is your stay. The note runs 360 months, but your plan may be 36 or 60. Points are measured against your exit, and a break-even at month 61 inside a 36-month stay is a guaranteed loss.
  • Comparing point costs between lenders without normalising the rate cut. If one lender charges one point for a quarter-percent cut and another charges one point for an eighth, the point prices are not comparable at all.
  • Buying points with money that should have gone into the down payment. Every 1,000 you add to the down payment reduces the loan, and therefore the fee base, for every level you were considering.
  • Forgetting that points paid in cash are capital you cannot recoup early. On the Selling in 3 years preset the fee is still outstanding at the exit, and the cash would have been better held for the move.
  • Reading the true APR as the rate you will pay each month. The APR is a whole-of-loan comparison figure that includes the points; your monthly payment is calculated on the discounted note rate, and the two are supposed to differ.

Key Terms Explained

Discount point:
prepaid interest paid at closing in exchange for a permanent reduction in the note rate. One point is one percent of the loan amount.
Note rate:
the contract interest rate your mortgage amortizes at, before any points are bought. Also called the coupon rate.
True APR:
the Regulation Z annual percentage rate, computed from the amount financed after the point fee and the full payment stream. It is the figure that makes offers with different points comparable.
Break-even month:
the first whole month in which the cumulative saving from the lower payment exceeds the upfront cost of the points.
Amount financed:
the loan principal less any prepaid finance charges such as points, which is the base the true APR is computed against.
Rate cut per point:
how much one point removes from the note rate, normally a quarter of a percent, set by the lender's own price sheet.
Net gain at your stay:
total saving collected up to your exit month minus the cost of the points. A negative figure means the points lost money at that horizon.
Stay:
the number of months you keep the loan before selling, refinancing or paying it off, which is the horizon every verdict in this calculator is measured against.

Related Concepts

  • Mortgage Calculator: run the full amortization for any rate you are quoted and see the principal and interest split month by month.
  • Amortization Schedule Calculator: print the complete schedule so you can watch how much of the early payment is interest before you commit to points.
  • Loan Comparison Calculator: put two or three complete offers side by side and rank them on total cost rather than on the headline rate.
  • Closing Cost Calculator: total everything else due at settlement, so you can see what is left for points after the closing costs are covered.
  • Refinance Calculator: test whether a new loan at a lower rate beats staying and buying points on the one you already have.
  • Debt-to-Income Ratio Calculator: check whether the payment after points still leaves the cushion your lender requires.

Example

Start from the Standard preset: a 400,000 home, 40,000 down, a 360,000 loan at 6.75 percent over 30 years, planning to keep it 120 months. The baseline payment is 2,334.95 a month. One point costs 3,600 and takes the rate to 6.50 percent. The payment falls to 2,275.44, so you save 59.51 every month. Dividing 3,600 by 59.51 gives 60.5, which rounds up to a break-even at month 61. By your planned exit at month 120 you have collected 7,141 of savings against the 3,600 fee, leaving you 3,541 ahead. Two points cost 7,200 and take the rate to 6.25 percent. The payment falls to 2,216.58, a saving of 118.37 a month. Break-even lands on month 61 again, because both the fee and the saving scale in the same proportion as the point count, but the position is twice as large: 14,204 of savings against 7,200 paid, so 7,004 net by month 120. On these numbers two points is the answer the calculator picks. Now switch to the Selling in 3 years preset, which cuts the stay to 36 months. Break-even is unchanged at 61 months, so nothing pays back inside your horizon: one point leaves you 1,458 down and two points leave you 2,939 down at the exit. Same loan, same pricing, opposite answer — the stay is what decides it.

Interpreting Your Results

Read the results in this order. Start with the points to buy and the verdict line: it states the cash position at your exit in plain language and names the stay it was measured against. If it says skip, the analysis is effectively finished. Next, the break-even month. Compare it against your stay, not against the loan term. Break-even at 61 months inside a 120-month stay is a comfortable margin; the same 61 months against a 36-month stay is a loss. The gap between those two numbers is the margin of safety you have. Then the cost and the monthly saving. The ratio of those two is the break-even, and it is worth checking by eye: 7,200 divided by 118.37 is about 61, which is exactly what the calculator reports. The true APR matters when you are comparing lenders rather than deciding for yourself. An APR below the note rate means the points were worth buying on a whole-of-loan basis; an APR above it means the fee outweighed the rate cut over the full term. Finally, switch to break-even mode and read the grid across the columns. The month where a row turns from red to green is the exact horizon at which that point level starts paying you, and it tells you instantly how sensitive the decision is to leaving early.

Frequently Asked Questions

What is a mortgage discount point?
A discount point is prepaid interest you pay the lender at closing to buy the note rate down. One point costs one percent of the loan amount and, on most conventional quotes, takes a quarter of a percent off the rate. On the default example in this calculator the loan is 360,000, so one point costs 3,600 and moves 6.75 percent down to 6.50 percent, cutting the payment from 2,334.95 to 2,275.44 a month. The fee is due in cash alongside your down payment and it is not refundable, which is why the length of your stay decides whether buying points was a good idea or an expensive one.
How many mortgage points should I buy?
Buy the level that maximises your net position at the month you actually leave, which is what this calculator picks for you. On the default example one point and two points both break even at month 61, so with a 120-month stay the two-point option wins with 7,004 net against 3,541 for one point. Change the stay to 36 months and the correct answer drops to zero points, because nothing recovers the fee inside that horizon. There is no universal right number: the point count that is optimal for a ten-year stay can be a guaranteed loss for a three-year stay on an identical loan.
Do mortgage points lower my monthly payment?
Yes, immediately. Every point you buy reduces the note rate, and a lower note rate amortizes the same principal over the same term at a lower monthly payment. On the default 360,000 loan the payment falls from 2,334.95 at 6.75 percent to 2,275.44 at 6.50 percent with one point, and to 2,216.58 at 6.25 percent with two — savings of 59.51 and 118.37 a month. The important part is that this saving starts on day one while the fee is paid entirely on day one, so the payment reduction alone never tells you whether the deal was good. You also need the fee, the break-even month and your expected stay before the payment figure means anything.
How long does it take for points to pay for themselves?
Break-even is the upfront cost of the points divided by the monthly saving, rounded up to a whole month. On the default example one point costs 3,600 and saves 59.51 a month, so 3,600 divided by 59.51 is 60.5 and break-even is month 61. Two points cost 7,200 and save 118.37 a month, which gives 60.8 and the same month 61, because the fee and the saving scale together as the point count rises. On the High rate 7.25 percent preset the fee and saving scale differently and break-even tightens to month 60. Anything shorter than that horizon and the points are still outstanding when you leave.
Is buying points worth it if I sell or refinance early?
Only if you stay past break-even, and the calculator measures that directly. On the Selling in 3 years preset the stay is 36 months against a break-even of 61 months, so one point ends 1,458 in the red and two points end 2,939 in the red at the exit. The rate cut was real and the saving every month was real, but you did not live long enough in the loan to collect enough of it to cover the fee. This is why break-even, not the payment reduction, is the number to check before you agree to points, and why a shorter expected stay usually argues for keeping the cash.
What is the difference between discount points and origination fees?
Discount points buy your rate down: the more you pay, the lower your note rate, so the money is returned to you over time through a smaller payment. An origination fee is simply the lender's charge for making the loan and it buys you nothing at all — your rate is the same whether you pay it or not. Both are prepaid finance charges under Regulation Z and both reduce the amount financed used to compute the true APR, which is why they show up identically in that calculation. The distinction matters when you negotiate: you can trade one against the other, but only the discount point has a payback attached to it.
How is the true APR calculated when I pay points?
Regulation Z defines it as the rate that makes the amount financed equal the present value of the payment stream. The amount financed is your loan principal less the point fee, so paying two points on a 360,000 loan leaves 352,800 of amount financed while the payment is still calculated on the full 360,000 at the discounted rate. Solving for the rate that reconciles those two figures and multiplying the monthly result by twelve gives the APR. On the default example that comes out at 6.60 percent for one point and 6.44 percent for two, both below the 6.75 percent note rate, which tells you the rate cut was worth more than the fee over the full term.
Do points always take a quarter of a percent off the rate?
No. A quarter of a percent per point is the most common convention on conventional conforming loans, but the schedule is set by the lender and varies by program, loan tier, credit profile and the shape of the rate sheet that day. Some price sheets pay an eighth, some pay three-eighths, and at higher loan sizes or on jumbo programs the curve is often not linear. That is why this calculator makes the rate cut per point an input rather than a constant. Enter the figure your lender actually quoted and the whole analysis — payment, saving, break-even, APR and net position — is recomputed against your real pricing instead of a market average.
Should I put the money into points or into a larger down payment?
They solve different problems and the calculator helps you separate them. Points reduce the rate on whatever you borrow, so the benefit scales with the loan size and it pays back on a schedule. A larger down payment reduces the loan itself, which lowers the payment, removes or reduces mortgage insurance and shrinks the base that every point fee is charged against. The honest test is time: if you will sell before the break-even month, points return nothing and the down payment, which returns value the moment you own more of the house, is the safer use of the cash. Past break-even the trade tilts the other way, because the rate cut keeps compounding in your favour every month you stay.
Can I finance points into the loan instead of paying cash?
You generally cannot, and the reason is structural. Discount points are by definition prepaid interest — the discount only exists because you paid the money up front. Financing the fee would mean borrowing the amount you were supposed to pay in cash, which raises your principal, raises your payment and largely cancels the rate reduction you were buying. Origination fees can sometimes be financed or rolled into the loan, and some programs allow a lender credit in place of points, but those are different instruments with different economics. If you do not have the cash at closing, the practical alternative is usually to take the higher note rate rather than to fabricate a financed discount.
How do I know if my lender's point pricing is fair?
Ask for the rate sheet or the price for several increments — zero, one, two and three points — rather than accepting a single quoted pair. Then check two things. First, whether the rate cut per point is close to the quarter-percent convention; a lender paying only an eighth per point is charging you double for the same discount. Second, whether the implied cost per point is near one percent of the loan, since a point priced above that is more expensive than the market standard. Enter both real figures into the pricing panel here and the break-even month will tell you immediately whether the offer is generous, average or one you should push back on.

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