Turning Any Fee Into an Annual Rate: The One-Step Conversion

Any fee can be rewritten as an annual rate in one step: divide the fee by the amount that actually reached your hand, then multiply by 365 divided by the number of days the money is out. Nothing is added and nothing is estimated. The same price is simply restated in the unit every other offer is already quoted in, so two unlike things can sit in one column. On the practice offer below, a $56.25 fee on $375.00 for 14 days is 15.00% for the term and 391.07% written per year.

Why a fee hides a rate at all

Ten dollars is not a price until somebody says ten dollars for how long. A rate is a fee with the time put back into it, which is why an identical fee can be trivial or ruinous with nothing about the fee itself changing. The conversion is not an attack on a fee. It is restoring a missing unit.

That is also why a quoted term price can be completely honest and still tell you almost nothing. 15.00% for 14 days is a true statement. It just does not answer the question anybody is actually asking, which is how this compares to the other thing on the table.

The worked example: four conversions

Three things fall out of that table, and each one is worth a moment.

Size moves the amount and never the rate

$15.00 looks like almost nothing next to $56.25. They price identically, at 391.07%, because both are 15.00% of the amount borrowed for the same 14 days. A small fee is not a small price. It is a small amount of money attached to the same price.

The days do more work than the fee

The third row charges 25.00% for its term, which is a larger share of the money than either row above it. Written per year it is 304.17%, which is smaller than both. Nothing about that is a contradiction. A bigger slice, taken less often, produces a smaller annual figure.

The denominator is what reached your hand

The fourth row is the one people get wrong. If the fee comes out before the money is handed over, then $56.25 out of $375.00 leaves $318.75 arriving. Divide by $318.75 rather than by $375.00 and the same offer prices at 17.65% for the term and 460.08% a year. Same fee, same days, different denominator, a materially different answer.

Counting the days exactly

From the day the money arrives to the day every cent goes back. Not the number of weeks it feels like and not the number printed on a sign. Miscount by three days and the annual figure moves further than most people expect, because the multiplier is 365 divided by that count.

On the first practice row, 365 divided by 14 days is 26.07, so the term price of 15.00% is multiplied by about twenty-six. That multiplier is where all of the drama lives, and it is entirely a function of how short the borrowing is.

Why the conversion makes a comparison possible

Here is the same fourteen days, priced two ways. The fee offer charges $56.25. Borrowing the identical $375.00 for the identical fourteen days at the practice 22.15% used elsewhere in this series would cost $3.19. The fee is 17.63x that.

Both are real prices for the same fourteen days. Only one of the two is written where anybody can lay it beside anything else, and that is exactly the problem the conversion solves. If the vocabulary of quoted rates is what is unfamiliar, APR against interest rate explains what each published figure is and is not allowed to include.

The formula, written out

1. Write the fee. Every charge for taking the money, added together into one figure. Not just the one with the largest print.
2. Write what reached your hand. After anything taken out at the counter.
3. Divide one by the other. That is the price for the term, and nothing more.
4. Count the days exactly. Arrival to final repayment, on a calendar.
5. Multiply by 365 over the days. Now it is written per year and can be compared to anything.

Five steps, one calculator, about ninety seconds. It works on a short-term loan, an advance against a paycheck, a fee to move a balance, an overdraft charge, an early-access-to-wages fee, and anything else where money arrives now and goes back later with something extra attached.

Where fees hide inside ordinary borrowing

The conversion is not only for short-term offers. Any charge attached to borrowing can be run through it, and doing so often reveals that a fee described as small is a large price for a short exposure.

• A fee to move a balance. Charged once, on the amount moved, and then the money is out for however long the promotional window runs.
• A charge for taking cash from a card. Usually a fee plus a rate, and often with no grace period, so the clock starts immediately.
• An overdraft charge. A fixed amount for a very short exposure, which is exactly the shape that produces a large annual figure.
• Anything with a flat charge and a short term. Flat plus short is the combination that always deserves the conversion.

The same three moves apply to installment borrowing too, where the question becomes total cost rather than a single fee. Pricing any loan offer covers that side with the same discipline: multiply, subtract, then compare.

Why the multiplier is the whole story

People sometimes read a large annual figure as evidence that a fee is outrageous. Sometimes it is. Often it is simply evidence that the borrowing is very short, and that is worth understanding rather than reacting to.

Watch the three practice rows again. The first two charge 15.00% for 14 days and land on 391.07%. The third charges a larger share, 25.00%, over 30 days, and lands on 304.17%, which is smaller. The fee that took more of the money produced the smaller annual figure, because it was out for longer.

That is not a reason to ignore the annual figure. It is a reason to read it as what it is: the price per year of an arrangement that may last two weeks. It answers the question what would this cost if it kept happening, and short-term borrowing that keeps happening is exactly the situation the number is most useful for describing.

Adding up every charge, not just the headline one

Step one of the formula says every charge for taking the money, added together, and that phrasing is deliberate. An arrangement can carry a fee for the transaction, a fee for the delivery method, a fee for an optional service that was pre-selected, and a charge for extending. Converting only the headline fee understates the price.

The practical version: write down every dollar that leaves because of the arrangement, and every dollar that would not have left otherwise. That total is the numerator. Anything else is a partial answer.

The five steps, as a table you can fill in

Copy those five rows onto a piece of paper and the conversion stops being something you have to remember. It is the same five rows for every offer, at every size, over every number of days.

What this does not tell you

It does not tell you whether an offer is legal, whether it is regulated where you live, or what happens if a repayment is missed. Those depend on the agreement and on the rules where you are, and rules vary by state. consumerfinance.gov publishes material on short-term credit written by the agency that supervises this market, and it is the right place to start on anything beyond the arithmetic.

Going further

The final chapter of How Credit Works is built entirely around this conversion, because it is the one tool in the book that works on an offer the book has never seen. Every figure is computed in code, no lender is named anywhere, and the chapter is explicit that the annual figure is a unit of measurement rather than an accusation.