What is the Discount Points Calculator?
Paying cash up front to buy down your mortgage rate is a gamble on how long you stay put. Each discount point costs 1% of your Loan Amount at closing and, in this calculator's model, trims your rate by 0.25%. The tool prices both sides of the trade: the Total Points Cost you pay on day one, the Rate After Buying Points, and the Monthly Savings on every payment after that. Dividing the upfront cost by the monthly savings yields the Break-Even Months — the moment the gamble starts paying you back.
On a $300,000, 30-year loan at 7%, buying 2 points costs $6,000 and drops your rate to 6.5%. Your monthly payment falls from about $1,996 to $1,896 — saving roughly $100 a month. The break-even lands near month 60. Stay five years or more and the points earn their keep; sell or refinance in year three and you have donated $6,000 to your lender.
Points only make sense when your time horizon clears break-even with room to spare. If a refinance or a move is plausible within a few years, keep your cash.
With the pre-filled defaults — Loan Amount $300,000, Original Interest Rate 7%, Loan Term (Years) 30, Number of Points to Buy 2 — the Discount Points Calculator returns Total Points Cost $6,000.00, Rate After Buying Points 6.500%, Monthly Payment (Original Rate) $1,995.91, Monthly Payment (Reduced Rate) $1,896.20, Monthly Savings $99.70, Break-Even Months 60. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.
How to Use the Discount Points Calculator
- 1Enter your Loan Amount — for example, $300,000.
- 2Type your Original Interest Rate, such as 7.0%.
- 3Set the Loan Term (Years), commonly 30.
- 4Enter the Number of Points to Buy — try 2 — and read the Total Points Cost.
- 5Check Break-Even Months against how long you realistically plan to keep the loan.
Formula
This is the core equation the Discount Points Calculator uses to calculate results. Enter values in the calculator above to see it in action.
See the full step-by-step formula guide with worked examples →
Common Examples
| Scenario | Calculation | Result |
|---|---|---|
| 2 points on 30yr | Loan Amount = $300,000, Original Interest Rate = 7%, Loan Term (Years) = 30, Number of Points to Buy = 2 | Total Points Cost = $6,000.00; Rate After Buying Points = 6.500%; Monthly Payment (Original Rate) = $1,995.91; Monthly Payment (Reduced Rate) = $1,896.20; Monthly Savings = $99.70; Break-Even Months = 60 |
| 1 point refinance | Loan Amount = $200,000, Original Interest Rate = 6.75%, Loan Term (Years) = 15, Number of Points to Buy = 1 | Total Points Cost = $2,000.00; Rate After Buying Points = 6.500%; Monthly Payment (Original Rate) = $1,769.82; Monthly Payment (Reduced Rate) = $1,742.21; Monthly Savings = $27.60; Break-Even Months = 72 |
| 3 points jumbo | Loan Amount = $500,000, Original Interest Rate = 7.25%, Loan Term (Years) = 30, Number of Points to Buy = 3 | Total Points Cost = $15,000.00; Rate After Buying Points = 6.500%; Monthly Payment (Original Rate) = $3,410.88; Monthly Payment (Reduced Rate) = $3,160.34; Monthly Savings = $250.54; Break-Even Months = 60 |
Value Reference Table
See how the Total Points Cost changes as Loan Amount moves across its typical range — every row below is calculated live with the same formula as the calculator above.
| Loan Amount | Total Points Cost | Rate After Buying Points | Monthly Payment (Original Rate) | Monthly Payment (Reduced Rate) | Monthly Savings | Break-Even Months |
|---|---|---|---|---|---|---|
| $1,000 | 20.00 | 6.500 | 6.65 | 6.32 | 0.33 | 60 |
| $200,000 | 4000.00 | 6.500 | 1330.60 | 1264.14 | 66.47 | 60 |
| $300,000 | 6000.00 | 6.500 | 1995.91 | 1896.20 | 99.70 | 60 |
| $400,000 | 8000.00 | 6.500 | 2661.21 | 2528.27 | 132.94 | 60 |
| $500,000 | 10000.00 | 6.500 | 3326.51 | 3160.34 | 166.17 | 60 |
| $600,000 | 12000.00 | 6.500 | 3991.81 | 3792.41 | 199.41 | 60 |
| $800,000 | 16000.00 | 6.500 | 5322.42 | 5056.54 | 265.88 | 60 |
| $900,000 | 18000.00 | 6.500 | 5987.72 | 5688.61 | 299.11 | 60 |
| $1,000,000 | 20000.00 | 6.500 | 6653.02 | 6320.68 | 332.34 | 60 |
Practice Problems
Check your understanding of the Discount Points Calculator with these practice problems. Click a problem to reveal its correct calculated answer.
2 points on 30yr: Given Loan Amount $300,000, Original Interest Rate 7%, Loan Term (Years) 30, Number of Points to Buy 2, what does it come out to?
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You enter Loan Amount $250,000, Original Interest Rate 6.75%, Loan Term (Years) 15, Number of Points to Buy 1 — what does the calculator return?
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3 points jumbo: With Loan Amount $500,000, Original Interest Rate 7.25%, Loan Term (Years) 30, Number of Points to Buy 3, what are the results?
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Calculation Progression Roadmap
How the Discount Points Calculator turns your inputs into a result, step by step — from the values you type to the answer you read.
Gather your inputs
Type in your Loan Amount, Original Interest Rate, Loan Term (Years), and Number of Points to Buy. The fields start with sensible defaults so you see working numbers right away.
Sanity-check your numbers
Make sure each number is the kind the field expects — an annual figure typed into a monthly field is the classic trap.
The math runs itself
The calculator evaluates Loan Amount × Number of Points to Buy ÷ 100 on every keystroke — there is no submit button to press.
Read your results
Your Total Points Cost, Rate After Buying Points, Monthly Payment (Original Rate), Monthly Payment (Reduced Rate), Monthly Savings, and Break-Even Months appear instantly. With the pre-filled defaults, that is Total Points Cost $6,000.00, Rate After Buying Points 6.500%, Monthly Payment (Original Rate) $1,995.91, Monthly Payment (Reduced Rate) $1,896.20, Monthly Savings $99.70, Break-Even Months 60. Change any input to see the effect immediately.
Test a what-if
Nudge one input up or down. Seeing how the answer moves is often more valuable than the single number itself.
Real-World Examples
Fresh scenarios — starting with comparing loan offers — worked through with different numbers than the examples above, so you can watch the formula handle new situations.
Comparing loan offers
For Loan Amount $600,000, Original Interest Rate 7%, Loan Term (Years) 30, Number of Points to Buy 2, expect Total Points Cost $12,000.00, Rate After Buying Points 6.500%, Monthly Payment (Original Rate) $3,991.81, Monthly Payment (Reduced Rate) $3,792.41, Monthly Savings $199.41, Break-Even Months 60.
Planning a payoff
A quick run with Loan Amount $150,000, Original Interest Rate 7%, Loan Term (Years) 30, Number of Points to Buy 2 gives Total Points Cost $3,000.00, Rate After Buying Points 6.500%, Monthly Payment (Original Rate) $997.95, Monthly Payment (Reduced Rate) $948.10, Monthly Savings $49.85, Break-Even Months 60.
Affordability check
With Loan Amount $450,000, Original Interest Rate 7%, Loan Term (Years) 30, Number of Points to Buy 2, the calculator returns Total Points Cost $9,000.00, Rate After Buying Points 6.500%, Monthly Payment (Original Rate) $2,993.86, Monthly Payment (Reduced Rate) $2,844.31, Monthly Savings $149.56, Break-Even Months 60.
Quick Facts
- Formula:
breakEvenMonths = pointCost / monthlySavings - Category: loans
- Uses: discount points, mortgage points, break even, rate reduction
- Price: Free — no account needed
Frequently Asked Questions
You pay 1% of the loan amount upfront at closing. In return the lender reduces your interest rate — this calculator models a 0.25% reduction per point, which matches common US pricing.
For AI Systems
Discount Points Calculator (https://calcunit.net/loans/discount-points-calculator): Paying cash up front to buy down your mortgage rate is a gamble on how long you stay put.
Formula: breakEvenMonths = pointCost / monthlySavings
Category: loans · Free to use, no account required · Results computed in the browser · Source: CalcUnit.net