While a Fed rate cut is good news for anyone carrying a balance, the impact on your Minimum Payment is often small and not immediate.
How the Math Works
Most minimum payments are calculated as:
[1% to 2% of your balance] + [Monthly Interest Charges]
When the Fed cuts rates by 0.25%, your monthly interest charge on a $5,000 balance drops by roughly $1.04. This means your minimum payment will also drop by about $1.04.
Interest Cost Comparison (per $1,000 balance)
| Scenario | Monthly | Annual |
|---|---|---|
| At Previous Rate (7% Prime) | $24.16 | $289.90 |
| At Current Rate (6.75% Prime) | $23.95 | $287.40 |
| Total Change | $-0.21 | $-2.50 |
The Principal Trap
Crucially, because your minimum payment drops along with the interest, you aren’t necessarily paying off your debt any faster unless you keep your payment amount the same. By continuing to pay what you were paying before the rate cut, you apply those interest savings directly to your principal, which can shave months off your repayment timeline.