Cash Back or Low Interest Calculator
Compare a dealer cash rebate at standard APR against declining it for a lower promotional APR, and see which option costs less overall.
How It's Calculated
Formula
\text{Cash Back Total} = \text{Payment}(\text{Price} - \text{Rebate},\ \text{StandardAPR}) \times n \qquad \text{Low Interest Total} = \text{Payment}(\text{Price},\ \text{PromoAPR}) \times nDealers frequently offer a choice: take a cash rebate but finance at the standard interest rate, or skip the rebate for a lower promotional rate. This calculator computes the total amount you'd actually pay under each path — the cash-back path finances the price minus the rebate at the standard APR, while the low-interest path finances the full price at the promotional APR — both over the same loan term, using the standard amortized-payment formula. Whichever total is lower is reported as the better option, along with exactly how much it saves.
Worked Examples
$30,000 vehicle, $2,000 rebate, 6% standard vs. 1.9% promo APR, 5-year term
- Cash back path: finance 30,000 − 2,000 = $28,000 at 6% for 60 months ≈ $541.32/month, total ≈ $32,479
- Low interest path: finance the full $30,000 at 1.9% for 60 months ≈ $524.52/month, total ≈ $31,471
- Low interest total ($31,471) is lower than cash back total ($32,479) — the low-interest option saves about $1,008 here
$20,000 vehicle, $3,000 rebate, 3% standard vs. 2.9% promo APR, 3-year term
- Cash back path: finance 20,000 − 3,000 = $17,000 at 3% for 36 months, total ≈ $17,798
- Low interest path: finance the full $20,000 at 2.9% for 36 months, total ≈ $20,907
- Here the rate difference (only 0.1%) isn't enough to offset losing the $3,000 rebate — the cash back option wins by a wide margin
Frequently Asked Questions
Why does a bigger rebate not always win?
A rebate directly reduces the amount financed, which saves interest at the standard rate. But if the promotional rate is enough lower and the loan term is long enough, the interest savings from the lower rate can exceed what the rebate would have saved — the math depends on all four numbers together, which is exactly what this calculator resolves for you.
Does the loan term have to be the same for both options?
Yes — this calculator compares both financing paths over the same term you enter, which is the standard way dealers structure a cash-back-vs-low-interest choice (the term itself typically isn't part of the offer difference).
What if the rebate and rate difference produce a very close result?
A small savings gap simply means the two options are close in total cost — the reported 'better' option is still mathematically lower, even by a small margin, but other factors (like preferring a smaller loan balance or a lower monthly payment) might reasonably factor into your actual decision.
Can I use this for something other than a car loan?
The math applies to any purchase financed with a fixed-rate installment loan where you're choosing between a price reduction at one rate versus the full price at a lower rate — though it's most commonly used for auto financing, which is why the inputs are labeled that way.