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APR and APY: what they mean and how to compare your money's returns
Two products can advertise the same rate and yield different returns. Here we explain what the APR (TNA) and EAR (TEA) mean, how to convert from one to the other using a simple formula, and what to look for in the fine print to properly compare what your money yields.
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Two products with the same APR, two very different results
Imagine that two financial products promote an APR (TNA) of 60%. One compounds interest monthly, while the other compounds every six months.
If someone invests the same amount in both, after one year the difference between what one yields versus the other exceeds 10 percentage points (79.6% compared to 69%).
Understanding what the APR is and why that number only tells part of the story is what separates those who compare effectively from those who choose blindly.
The APR or TNA (Nominal Annual Rate) is a benchmark rate that indicates how much interest a product generates in a year, but without considering what happens when that interest is reinvested.
It is an easy number to communicate, which is why it appears in the advertising of almost all savings or investment products.
The problem is that interest is credited at a certain frequency (monthly, quarterly, semi-annually), and each time that happens, the amount on which the next period's interest is calculated changes.
That's where the EAR or TEA (Effective Annual Rate) comes in, reflecting what your money actually earns after the interest is added to the principal and begins to generate its own interest.
The difference between APR and EAR comes down to compound interest: the APR tells you the base rate, while the EAR tells you what happens when that rate is repeatedly applied to a principal that grows over time.
How to calculate the EAR from the APR
The formula connecting both rates allows you to translate any APR into what your money will effectively yield.
EAR = (1 + APR/m)^m - 1
In that formula, "m" represents the number of times interest is compounded during a year. If compounding is monthly, m equals 12. If it is quarterly, m equals 4. If it is semi-annual, m equals 2.
The more frequently interest is compounded in a year, the more the EAR diverges from the APR, because compound interest has more opportunities to act on a principal that has already grown.
Step-by-step example with a 60% APR and monthly compounding
Divide the APR by m to get the rate for the period: 0.60 / 12 = 0.05 (that is, 5% monthly).
Add 1 to work with the growth factor: 1 + 0.05 = 1.05.
Raise that factor to the power of m, which in this case is 12: 1.05^12 = 1.7958 (rounded).
Subtract 1 to get the effective rate: 1.7958 - 1 = 0.7958, which represents an EAR of approximately 79.6%.
How the EAR changes depending on compounding frequency
Compounding frequency | Value of m | Resulting EAR (60% APR) |
|---|---|---|
Monthly | 12 | ~79.6% |
Quarterly | 4 | ~74.9% |
Semi-annual | 2 | ~69.0% |
With monthly compounding, a nominal 60% turns into an effective rate of almost 80%. With semi-annual compounding, the same APR produces an EAR of just 69%.
That difference of more than 10 points comes exclusively from the frequency with which compound interest acts, and that figure is precisely what many financial products do not highlight in their main advertising.
In fixed-term deposits, for example, the APR is usually calculated with compounding every 30 days, so it is worth checking the term in which it is expressed.
What to look for in the fine print before choosing
The only way to fairly compare two products is to calculate the EAR of each and subtract the costs that appear in the terms and conditions.
Three factors determine whether the number shown to you is close to or far from what your money will yield in practice.
The three factors that define the actual yield
The compounding frequency completely transforms the actual yield, because this variable moves the EAR several points up or down relative to the APR displayed in the headline.
Opening, maintenance, or early withdrawal fees reduce the net yield, and a product with an attractive EAR may end up yielding less than a more modest option if its fees are not clearly visible.
The term affects the calculation when products apply lower rates if you withdraw before maturity, or when they roll over automatically with terms different from the initial ones, changing the actual EAR of your extended investment.
What the EAR represents in practice depends on these three combined factors. For example, an 80% EAR with high fees might yield less than a 70% EAR with no additional costs and flexible withdrawals.
The nominal rate is the starting point, but it should never be the only detail you look at.
Applying this logic to daily money management
Understanding the relationship between APR, EAR, and compound interest gives you financial discernment that you can apply every time someone presents a number that looks good.
The question is always the same: does that percentage being shown already include the effect of compounding and fees, or is it the simplified version?
At belo we design educational content like this so you can apply these concepts to real decisions, from evaluating your savings yield to reading the terms of any financial product offered to you.
If you also want your savings to accumulate regularly, you can set up automated savings on belo. Knowing the formula is a first step; using it with clear information and no hidden fine print is what changes the outcome.
Download the belo app and review the current terms based on your account.
Frequently asked questions about APR and EAR: what they mean and how to compare your returns
Is the APR always lower than the EAR?
Yes, unless the compounding is annual, in which case both rates match. In all other scenarios, the EAR is higher than the APR because it incorporates the effect of compound interest that is generated each time the interest is added to the principal.
Can I compare two products using only the APR?
Only if both products have the exact same compounding frequency and the same associated fees. In most real cases these conditions do not match, so calculating the EAR of each product is the only way to make a fair comparison.
What happens if the product does not state the compounding frequency?
That lack of information is a red flag in itself. Before investing, it's advisable to check directly with the financial institution or review the terms and conditions, because without that detail it is impossible to calculate the EAR or assess the actual yield.
Does compound interest always work in my favor?
When you are the investor, yes: frequent compounding makes your capital grow faster. When you are the borrower taking out a loan, the same mechanism works against you, making the actual cost of the debt exceed the nominal rate listed on the contract.
Does the EAR already include taxes and fees?
Not necessarily. The EAR reflects the effect of compounding on the nominal rate, but it doesn't always incorporate taxes, maintenance fees, or early withdrawal penalties. To get the actual net yield, you must subtract those costs from the calculated EAR.
