How We Calculate Your Debt-Free Date
See the exact math behind your payoff timeline — and what a coach can do to change it. No fluff, just real numbers. Already used a calculator? This is the formula behind it.
No spam. Unsubscribe anytime. We respect your privacy.
How We Calculate Your
Debt-Free Date
Most people have never seen this math. Once you do, you'll understand exactly why debt feels impossible to escape — and what actually changes it.
The Formula That Determines Everything
For one balance with a fixed rate and payment, this formula estimates how long repayment takes. It assumes monthly interest, payments at the end of each month, and no new charges or fees. Round the result up to the next whole month.
log( payment ÷ ( payment − balance × monthly rate ) ) divided by log( 1 + monthly rate )
Example: 22% APR → 22 ÷ 100 ÷ 12 = 0.018333, or 1.833% per month
In this model, interest is added to the balance before each payment; what is left of the payment reduces the balance. The payment must exceed monthly interest to make progress. At 0% interest, simply divide the balance by the payment instead. Actual cards may calculate interest daily, so check your statements and card terms. See the CFPB's explanation of credit card interest.
On a $30,000 balance at 22% APR, this model adds $550 in first-month interest. A payment of $850 reduces the balance by $300. The size of the payment matters, but so does whether you keep it steady as the balance falls.
What Minimum Payments Are Actually Costing You
Minimum-payment rules vary by card. For the example below, we use 1% of the starting monthly balance plus that month's interest, with a $25 floor. The final payment covers only the amount still owed. The rate stays fixed and there are no new charges or fees.
In this example, the minimum gets smaller as the balance falls. That stretches repayment to about 34 years and makes the total interest larger than the original balance. Your card's formula and payment choices can produce a different result.
This isn't about blame. Most people don't know this math because no one shows it to them. Once you see it, you can't unsee it — and that's the point.
What Coaching Changes Mathematically
Coaching helps you build a workable plan and return to it consistently. These are four areas we can work on together; the results depend on your numbers and follow-through.
In the example below, a fixed $900 payment starts only $50 above the $850 minimum. The larger difference comes later: keeping that payment steady instead of allowing it to shrink reduces modeled interest by about $37,100.
The Side-by-Side Comparison
Here's what the math looks like for a modeled scenario — $30,000 in credit card debt at 22% APR, comparing minimum payments against a fixed monthly payment.
Both columns use the same monthly-interest model and assumptions stated above. The minimum is 1% of the starting monthly balance plus interest, with a $25 floor. It starts at $850 and shrinks as the balance falls. The fixed column keeps paying $900, except for the smaller final payment. Interest figures are rounded to the nearest $100.
| Comparison | Minimum Payments | Fixed $900/mo |
|---|---|---|
| Monthly payment | $850, shrinking | $900, fixed |
| Projected payoff time | 34 years, 1 month | 4 years, 4 months |
| Total interest paid | $53,900 | $16,800 |
| Interest difference | — | $37,100 |
| Time difference | — | About 30 years |
Ongoing coaching is $250/month, designed around 12 months, or $400/month month-to-month. Both are billed monthly and cancel anytime. Coaching fees are separate from debt payments and are not included in this comparison. The interest difference comes from the payment pattern — you can follow that pattern with or without a coach. Coaching adds personal planning and accountability when you want that support.
These are modeled figures, not client results. They assume the stated payments continue until the balance is paid off. Check your own statement's repayment estimates and choose a payment that leaves room for essentials, required bills, and upcoming expenses.
What Happens on a Free Call
The free 30-minute introduction is a conversation about your situation and whether coaching fits. The detailed review of your numbers and personalized plan begins in the first paid, 90-minute session.
It's not a sales pitch. It's not a scripted call center conversation. We'll tell you honestly if coaching isn't the right fit for your situation. The goal is clarity — not a close.
You've Seen the Math.
Now Let's Build Your Plan.
A free 30-minute conversation with Sam about your goals, what is getting in the way, and whether personal coaching would help.
Book Your Free Call →Free · No commitment · Takes 30 minutes