Two Loan Quotes, One Winner: Why the Lower Interest Rate Can Cost More

Quote A and Quote B

You need 10,000 for three years and two lenders send offers. The numbers are invented but the structure is the standard one.

• Quote A: 12.0% interest rate, 800 origination fee deducted from the loan, 36 monthly payments
• Quote B: 14.5% interest rate, no fee, 36 monthly payments

On first read, A looks like the better deal. Its rate is two and a half points lower. Its monthly payment is also lower: 332.14 against 344.21. Most people would sign A and move on. Let us look at what each actually costs.

The real cost, in dollars

With Quote A, the lender takes 800 off the top, so you receive 9,200 but owe payments calculated on 10,000. You pay 332.14 for 36 months, which is 11,957 in total. Subtract the 10,000 face amount and the interest is 1,957. Add the fee and your total cost of borrowing is 2,757.

With Quote B you receive the full 10,000. You pay 344.21 for 36 months, a total of 12,392. The cost of borrowing is 2,392.

So the loan with the higher rate is cheaper by 365. Even more telling, Quote A gave you 9,200 to use, not 10,000, so you borrowed less and still paid more.

Where APR comes in

APR, the annual percentage rate, exists to make this comparison easy. It takes the fees into account along with the interest and expresses the whole cost as a single yearly rate. To calculate it, you find the rate at which the payments you will make have a present value equal to the money you actually received:

Amount received = Payment x [1 - (1 + i)^-n] / i APR = 12 x i

For Quote A, you received 9,200, you pay 332.14 for 36 months, and the monthly rate that satisfies the equation works out to an APR of about 17.9%. Quote B has no fee, so its APR equals its rate, 14.5%. Reading just the APR line on each disclosure shows the same ranking as the dollar calculation: B is cheaper.

That is why lenders in many countries are required to show APR. It is the one number meant to be comparable across offers with different fee structures. A few other fee levels on the same 10,000 for 36 months at a 12% rate show how steep the effect is:

• No fee: APR 12.0%
• 500 fee: APR about 15.6%
• 800 fee: APR about 17.9%

A fee of 8% of the loan adds nearly six points to the true annual cost.

The term changes how much a fee hurts

A fixed fee is spread over the life of the loan, so the shorter the loan, the more it weighs. A 250 fee on a 5,000 loan at 8% interest equals an APR of about 17.8% if the loan lasts 12 months, but only about 10.2% if it runs 60 months. The same fee, the same rate, wildly different annual cost. That is also why short-term lenders tend to produce eye-watering APRs: a payday-style charge of 15 per 100 borrowed for 14 days works out to about 391% annualized, even though the dollar fee sounds small.

What APR does not tell you

APR is useful but it is not the whole story:

• It assumes you keep the loan to the end. Pay it off early and the up-front fee is spread over fewer months. In our example, repay both loans after 12 months and Quote A costs you about 1,842 in interest and fees against 1,264 for Quote B. The gap in B's favor grows from 365 to about 578.
• It does not show total interest in dollars. A longer term can show a lower APR while costing you far more in total. A 60-month loan with a 500 fee at 12% has an APR near 14.3% (lower than a 36-month one with the same fee) but total interest of about 3,347 against 1,957.
• It may exclude some costs. Late fees, prepayment penalties and optional insurance are usually outside the calculation, so ask about them separately.
• For credit cards, APR is the interest rate and does not include annual fees in the same way. Compare annual fees on their own.
• For variable-rate loans, APR reflects today's rate, which can move.

The 0% offer with a transfer fee

The same logic applies to balance transfers. Moving 6,000 onto a card that charges 0% for 12 months sounds free, but a typical transfer fee of 3% is 180 up front. If you repay the 6,000 in twelve equal payments of 500, the 180 fee makes the effective APR about 5.7%. Spread over 24 months with 0% throughout, it falls to about 2.9%. Still cheaper than a 22% card, but not free, and if you miss the end date and the regular rate kicks in on the remaining balance, the picture changes quickly. The fee, not the headline rate, is what you pay for certain.

A short checklist for comparing offers

• Ask for the loan amount you will actually receive, after fees.
• Compare APR first, then total dollars paid over the full term, then monthly payment. In that order.
• Hold the term constant when comparing, or make explicit how the terms differ.
• Ask whether early repayment is penalized, and whether the fee is refunded if you pay early.
• Compare in writing. A verbal quote is not a disclosure.

To run your own quotes, enter the amount, rate, term and fees into the APR calculator, then use the personal loan calculator to see the monthly payment and total interest for each. For the general mechanics of how a fixed payment is calculated, the loan calculator shows the full amortization schedule. Putting two real quotes side by side takes five minutes and is one of the most reliable ways to save money on borrowing.