Points vs. principal optimizer
Buying discount points lowers your rate but leaves your balance unchanged. Paying the same cash to principal cuts your balance immediately. This tool compares both on net worth, not just on payment size.
Loan basics
Rate and point offers
Enter each rate quote exactly as the lender presented it. One offer must be the baseline.
| Baseline | Lender | Offer name | Rate % | Points | Point cost | Standard value | Lender credit | Other rate fees | Net cost | APR | Paid by | Borrower cash | Available for principal | Notes | Actions |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| $0 | $0 | ||||||||||||||
| $2,000 | $2,000 | ||||||||||||||
| $4,000 | $4,000 | ||||||||||||||
| $8,000 | $8,000 |
One mortgage point is conventionally equal to 1% of the loan amount. Where your entered cost differs from that standard value, this calculator uses the actual dollar amount you entered.
Some seller, builder and lender credits cannot be converted into a direct principal payment. Enter only the amount that could realistically be used for principal under the transaction terms.
Include only fees that differ because of the selected rate. Leave out general closing costs that are identical across every offer.
Borrower cash used in the analysis: No points $0 · 0.5 point $2,000 · 1 point $4,000 · 2 points $8,000
Principal payment strategy
How the same cash behaves if it is applied to the loan balance instead of buying points.
Comparison and tax settings
Holding period and what happens to the monthly payment savings drive the ranking.
Tax outcomes are estimates only and depend on itemization, loan purpose and property use. This is not tax advice.
2 points provides the highest projected value over 7 yr.
Paying $8,000 lowers the mortgage rate to 5.990%. At your 7 yr horizon this is projected to leave you $2,715 ahead of 1 point, and it overtakes its principal alternative in 3 yr, 9 mo.
Recommended strategy
2 points
At 7 yr
True breakeven vs principal
3 yr, 9 mo
Points overtake the principal alternative
Result at 7 yr
$2,715
2 points ahead of 1 point
Monthly payment difference
$166
2 points lowers the required payment
Highest projected equal-cash position
2 points
$8,000 points + $0 principal
Fastest payoff
2 points → principal
28 yr, 3 mo
Lowest lifetime interest
2 points
$462,427
Traditional payment breakeven
4 yr, 1 mo
Point cost ÷ payment savings only
Offer comparison
Every entered offer against the No points baseline and against applying the same borrower cash to principal.
| Metric | No points | 0.5 point | 1 point | 2 points★ |
|---|---|---|---|---|
| Interest rate | 6.625% | 6.500% | 6.250% | 5.990% |
| Point cost | $0 | $2,000 | $4,000 | $8,000 |
| Lender credit | $0 | $0 | $0 | $0 |
| Net cost | $0 | $2,000 | $4,000 | $8,000 |
| Borrower cash | $0 | $2,000 | $4,000 | $8,000 |
| Principal applied (equal cash) | $0 | $2,000 | $4,000 | $8,000 |
| Starting balance | $400,000 | $400,000 | $400,000 | $400,000 |
| Required P&I | $2,561 | $2,528 | $2,463 | $2,396 |
| Payment savings | $0 | $33 | $98 | $166 |
| Traditional breakeven | Immediate | 5 yr, 1 mo | 3 yr, 5 mo | 4 yr, 1 mo |
| Principal-adjusted breakeven | 1 mo | 5 yr, 1 mo | 3 yr, 1 mo | 3 yr, 9 mo |
| Interest-cost breakeven | 1 mo | 1 mo | 1 mo | 1 mo |
| After-tax breakeven | Tax off | Tax off | Tax off | Tax off |
| Balance at 7 yr | $362,413 | $361,665 | $360,134 | $358,494 |
| Interest at 7 yr | $177,558 | $174,040 | $167,015 | $159,727 |
| Payoff month | 30 yr | 30 yr | 30 yr | 30 yr |
| Advantage vs its principal alternative | $0 | $880 | $5,797 | $7,831 |
| Cost per 0.125% | — | $2,000 | $1,333 | $1,575 |
| Rate cut per $1,000 | — | 0.063% | 0.094% | 0.079% |
Charts
Every strategy simulated monthly.
Position relative to No points. Above zero means ahead of the baseline.
Find the best cash allocation
Every strategy spends the same total upfront cash. Anything not spent on points goes to principal.
Best allocation: 2 points. With a $8,000 cash budget and a 7 yr holding period, this combination is projected to produce the highest financial position, about $2,198 ahead of 1 point + 4,000 principal.
| Rank | Points | Point cost | Principal payment | Rate | Required P&I | Relative result |
|---|---|---|---|---|---|---|
| 1 | 2 | $8,000 | $0 | 5.990% | $2,396 | $0 |
| 2 | 1 | $4,000 | $4,000 | 6.250% | $2,463 | -$2,198 |
| 3 | 0.5 | $2,000 | $2,000 | 6.500% | $2,528 | -$7,659 |
| 4 | 0 | $0 | $8,000 | 6.625% | $2,561 | -$7,831 |
Only point tiers you entered are used. The calculator does not invent tiers the lender did not offer.
Value of each additional point tier
Each upgrade compared with keeping the cheaper rate and applying the extra cash to principal.
| Upgrade | Additional cost | Rate reduction | Monthly savings | Traditional breakeven | Principal-adjusted breakeven |
|---|---|---|---|---|---|
| No points → 0.5 point | $2,000 | 0.125% | $33 | 5 yr, 1 mo | 5 yr, 1 mo |
| 0.5 point → 1 point | $2,000 | 0.250% | $65 | 2 yr, 7 mo | 2 yr, 3 mo |
| 1 point → 2 points | $4,000 | 0.260% | $67 | 5 yr | 4 yr, 9 mo |
Best offer by holding period
| Holding period | Lowest payment | Best position | Best equal-cash |
|---|---|---|---|
| 1 yr | 2 points | 2 points → principal | No points + 8,000 principal |
| 3 yr | 2 points | 2 points → principal | No points + 8,000 principal |
| 5 yr | 2 points | 2 points | 2 points |
| 7 yr | 2 points | 2 points | 2 points |
| 10 yr | 2 points | 2 points | 2 points |
| 15 yr | 2 points | 2 points | 2 points |
| 30 yr | 2 points | 2 points | 2 points |
Best strategy timeline
Which strategy holds the highest financial position over time.
- Months 1–39Baseline + 8,000 to principal
- Months 40–521 point
- Months 53–3602 points
Pairwise comparison matrix
Select any cell for a focused two-offer comparison.
| No points | 0.5 point | 1 point | 2 points | |
|---|---|---|---|---|
| No points | — | |||
| 0.5 point | — | |||
| 1 point | — | |||
| 2 points | — |
Find a fair price for points
Solved for 2 points at a 7 yr horizon.
Maximum fair point cost
$12,932
The lender is charging $8,000. This offer is priced below the breakeven cost, so paying the points is projected to win.
Required rate for this cost
6.233%
At $8,000, the rate must fall at least 0.392% below the baseline to beat the principal alternative by 7 yr.
When do points win?
Winner by holding period and by what happens to the monthly payment savings.
| Holding period | Spend savings | Keep cash | Invest savings | Apply to principal |
|---|---|---|---|---|
| 3 yr | Principal+$877 | Principal+$877 | Principal+$231 | Principal+$877 |
| 5 yr | Principal+$1,566 | 2 points+$1,212 | 2 points+$617 | 2 points+$1,822 |
| 7 yr | Principal+$2,352 | 2 points+$3,289 | 2 points+$2,715 | 2 points+$4,537 |
| 10 yr | Principal+$3,744 | 2 points+$6,366 | 2 points+$6,150 | 2 points+$9,081 |
| 15 yr | Principal+$6,776 | 2 points+$11,271 | 2 points+$12,685 | 2 points+$18,064 |
What this means
Paying points lowers your mortgage rate and required payment, but it does not reduce your initial mortgage balance. Applying the same money directly to principal immediately reduces your debt and begins saving interest from the first month, which is why the principal-adjusted breakeven is a more demanding test than the traditional one.
Under your assumptions, applying $8,000 to principal produces the stronger position for 3 yr, 9 mo, after which the lower rate and accumulated monthly savings from 2 points produce the higher result.
The traditional breakeven of 4 yr, 1 mo only compares the point cost with the lower payment. It gives the principal payment no credit for the equity it creates on day one, and it gives the points buyer no credit for the faster amortization a lower rate produces.
The lowest rate is not automatically the best value: 2 points produces the smallest required payment, but its cost has to be recovered before it wins on net worth. Refinancing or selling before the principal-adjusted breakeven reverses the ranking. Your current setting assumes the monthly savings are invested at 5%, which materially changes the ranking. Each additional point tier must be judged separately, because point pricing is rarely linear.
Estimates only. Tax treatment depends on the transaction, property use, loan purpose, itemization status and applicable tax rules. This calculator does not determine deductibility, and it is not a loan offer.
These results are educational estimates. They are not a loan offer, quote, rate lock, pre-qualification, approval or commitment to lend, and they are not financial, tax, legal or investment advice. Output depends entirely on the assumptions you enter; a lender's actual figures, closing costs, escrows and underwriting decisions will differ. Investment returns are hypothetical, are not guaranteed, and past performance does not predict future results. Verify every number with your lender and a tax professional before acting.
points-vs-principal-engine v1.1.0 · tax-estimator v1.2.0
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