Worked example: Closing Cost in United States Federal
6 min read
Published April 15, 2026 • By DocketMath Team
Example inputs
This worked example shows how DocketMath can calculate closing cost for a United States Federal (US-FED) scenario using a jurisdiction-aware “closing-cost” calculator flow. The goal is to demonstrate how the inputs drive the output so you can rerun the calculation with your own numbers.
Scenario: refinancing with a typical settlement mix
We’ll model a mortgage refinance in the US-FED context with the following cost categories commonly seen at closing:
| Input category | Example value | Why it matters |
|---|---|---|
| Loan amount | $300,000 | Used to scale percentage-based fees |
| Taxes / transfer-related fees (if applicable) | $1,950 | Added as fixed or calculated charges |
| Title / escrow / settlement fees | $2,250 | Often fixed or semi-fixed |
| Origination / lender fee (percent of loan) | 1.00% | Drives a major variable component |
| Discount points (percent of loan) | 0.50% | Optional and fully percentage-driven |
| Prepaid items (e.g., interest, insurance escrow) | $4,100 | Typically fixed dollar totals |
| Government recording / similar fees | $425 | Usually fixed dollar charges |
Note: This example is for calculation illustration only and does not constitute legal or financial advice. Closing costs can vary widely based on the loan product, lender, and local administration of fees—even within federal frameworks.
DocketMath inputs (what you’d enter)
For the /tools/closing-cost calculator, you’ll usually provide something like:
- Loan amount:
300000 - Origination fee rate:
0.0100(1.00%) - Discount points rate:
0.0050(0.50%) - Title/escrow/settlement fees (fixed):
2250 - Taxes/transfer-related fees (fixed):
1950 - Prepaid items (fixed):
4100 - Government recording/similar fees (fixed):
425
If your version of the tool uses a slightly different naming convention (for example, “settlement services” instead of “title/escrow/settlement”), map the same dollar totals to the closest category.
Example run
You can replicate this example directly using DocketMath’s calculator:
- Primary CTA: **/tools/closing-cost
Run the Closing Cost calculator using the example inputs above. Review the breakdown for intermediate steps (segments, adjustments, or rate changes) so you can see how each input moves the output. Save the result for reference and compare it to your actual scenario.
Step-by-step math (mirrors what the calculator does)
DocketMath (and similar closing-cost calculators) typically separates percentage-based fees from fixed-dollar fees. Using the inputs above:
Origination fee
- Formula:
Loan amount × Origination rate - Calculation:
$300,000 × 0.0100 = $3,000
Discount points
- Formula:
Loan amount × Points rate - Calculation:
$300,000 × 0.0050 = $1,500
Fixed-dollar fees
- Title/escrow/settlement:
$2,250 - Taxes/transfer-related:
$1,950 - Prepaid items:
$4,100 - Government recording/similar:
$425
Fixed-dollar subtotal:
$2,250 + $1,950 + $4,100 + $425 = $8,725
Total closing cost
- Percentage subtotal:
$3,000 + $1,500 = $4,500 - Total:
$4,500 + $8,725 = $13,225
Example output (what you should expect)
A realistic calculator output usually includes:
- Origination fee:
$3,000 - Discount points:
$1,500 - Fixed fees subtotal:
$8,725 - Total closing cost:
$13,225
DocketMath’s jurisdiction-aware framing (US-FED) focuses on correctly applying the calculator’s fee structure and categories for a federal workflow context, rather than injecting state-specific rules that don’t belong in a US-FED-only scenario.
Pitfall: Many people accidentally enter points as “5” instead of “0.05” (or confuse 0.50% with 0.50 as a full percentage). If your points are 0.50%, the correct decimal input is 0.0050.
How the output changes when inputs change
Here are two quick “directional” checks that follow directly from the formulas above:
- Increase loan amount → percentage-based fees (origination and points) scale upward.
- Increase origination or points rate → output increases linearly with that rate.
Sensitivity check
Now let’s test how sensitive the total is to changes that frequently occur in real transactions—especially loan amount and percentage fees. This is not a legal determination; it’s a computational stress test of the assumptions in the model.
Baseline (from the example run)
- Loan amount:
$300,000 - Origination rate:
1.00% - Points rate:
0.50% - Fixed fees subtotal:
$8,725 - Total:
$13,225
Variation A: loan amount +$25,000
Change only the loan amount from $300,000 to $325,000.
- Origination fee:
$325,000 × 0.0100 = $3,250 - Discount points:
$325,000 × 0.0050 = $1,625 - Percentage subtotal:
$3,250 + $1,625 = $4,875 - Total closing cost:
$4,875 + $8,725 = $13,600
Change: +$375 total
That equals the percentage component increasing by $25,000 × (0.0100 + 0.0050) = $25,000 × 0.0150 = $375.
Variation B: points removed (0.50% → 0.00%)
Keep everything else the same, but set points rate to 0.00.
- Origination fee remains:
$3,000 - Discount points:
$300,000 × 0.0000 = $0 - Percentage subtotal:
$3,000 + $0 = $3,000 - Total:
$3,000 + $8,725 = $11,725
Change: -$1,500 total
That equals $300,000 × 0.0050 = $1,500.
Variation C: origination rate increases (1.00% → 1.25%)
Keep loan amount and points the same; set origination rate to 0.0125.
- Origination:
$300,000 × 0.0125 = $3,750 - Points:
$1,500(unchanged) - Percentage subtotal:
$3,750 + $1,500 = $5,250 - Total:
$5,250 + $8,725 = $13,975
Change: +$750 total
That matches $300,000 × (0.0125 - 0.0100) = $300,000 × 0.0025 = $750.
Sensitivity summary table
| Change | What changed | Total effect |
|---|---|---|
| +$25,000 loan | Percentage fees scale | +$375 |
| Remove points | Points rate → 0 | -$1,500 |
| Origination 1.00% → 1.25% | Origination rate +0.25% | +$750 |
Practical takeaway (for recalculating with your numbers)
Use this checklist to rerun DocketMath quickly and spot which inputs matter most:
Warning: If your settlement statement treats certain items differently (for example, prepaid interest computed using a daily factor rather than a fixed amount), you should update the prepaid items line to match the statement rather than trying to “back into” totals using only percentages.
Related reading
- Average closing costs in Alabama — Rule summary with authoritative citations
- Average closing costs in Alaska — Rule summary with authoritative citations
- Average closing costs in Arizona — Rule summary with authoritative citations
