Comparing Loan Offers Apples to Apples: A Worked Example

Two loan offers land in your inbox and they refuse to line up. One advertises a lower interest rate but charges an origination fee. The other has no fee but a higher rate. A third arrives with the smallest monthly payment of all — attached to a term two years longer. Lenders are not necessarily being deceptive; they are pricing the same product on different axes. But the effect on a borrower comparing headline numbers is the same as deception: the offer that looks cheapest is frequently not. The fix is to force every offer through the same arithmetic. Here is the full worked example.

The setup, and the trap

Suppose — all numbers hypothetical, chosen for clean math — you want $10,000 for three years, and two offers arrive:

• Offer A: 11% interest rate, no origination fee.
• Offer B: 9% interest rate, 5% origination fee deducted from the proceeds.

Instinct says B wins: nine is less than eleven. But that 5% fee means B doesn't actually hand you $10,000 — the lender keeps $500 and wires you $9,500, while your payments are calculated on the full $10,000. You are paying interest on money you never received.

Run both through the same three numbers

For each offer, compute: the monthly payment, the total of all payments, and — the number that decides everything — the total cost of borrowing: everything you pay back, minus the cash that actually reached your bank account.

Offer A at 11% over 36 months works out to roughly $327 per month. Total repaid: about $11,786. Cash received: $10,000. Total cost of borrowing: ≈ $1,786.

Offer B at 9% over 36 months on a $10,000 balance is roughly $318 per month — a smaller payment, which is exactly what makes it seductive. Total repaid: about $11,448. But cash received was only $9,500. Total cost of borrowing: ≈ $1,948.

The "cheaper" 9% loan costs about $160 more, for less money in hand. And notice that B's lower monthly payment survives the analysis — it is genuinely lower — which is precisely why monthly payment is the worst possible comparison metric. The fee never shows up in the payment; it shows up in the gap between what you repay and what you received.

APR is this calculation, standardized

You do not have to run this math from scratch every time, because regulation already forces lenders to: the APR (annual percentage rate) folds required fees and the true amount financed into a single annualized figure. In our example, Offer A's APR is simply 11%, while Offer B's APR — 9% interest plus the effect of the $500 fee on a $9,500 real loan — works out meaningfully higher than A's. Ranked by APR, the offers sort correctly.

Two cautions keep APR honest. It only captures fees the lender is required to include — check for late-fee schedules, payment-processing charges, and prepayment penalties separately. And APR comparisons are only valid at the same term, which brings us to the third offer.

The long-term illusion

Offer C: same $10,000, similar rate to A, but 60 months instead of 36 — and a monthly payment somewhere near $220. It is the easiest offer to sell and the most expensive to hold: two extra years of interest accrual means the total cost of borrowing rises well past both A and B, even at an identical rate. A longer term is not a discount; it is a purchase of lower payments, paid for with more total interest. Sometimes that purchase is rational — cash flow is real — but it should be made knowingly, with the total-cost number on the table, not discovered in year four.

The checklist

For every offer: confirm the cash you will actually receive after fees; get the APR, not just the rate; fix the term so comparisons are like-for-like; compute total cost of borrowing; and check the prepayment terms, since the right to pay early for free is worth real money if your finances improve. Five minutes of arithmetic, once per offer. The lenders have already done this math from their side of the table. The only question is whether you do it from yours.