Useful next calculations
When to use this calculator
- When you need the mathematical result of a simple or converting interest formula.
- When you want to compare simple interest with a compound-interest scenario on another page.
- When you are checking interest on a principal, rate and term you already know.
- When you need a formula check rather than a product illustration.
A worked example
These are the example figures the calculator opens with.
| Input | Value |
|---|---|
| APR (%) | 12% |
| Compounding Periods Per Year | 12 |
For those figures the calculator returns:
- APY: 12.68%
- APR: 12.00%
- Difference: 0.68%
- Compounding Periods: 12
Method & assumptions
This calculator converts an Annual Percentage Rate (APR) to an Annual Percentage Yield (APY) using the standard compounding formula: APY = (1 + APR/n)^n โ 1, where n is the number of compounding periods per year. Common compounding frequencies are daily (365), monthly (12), quarterly (4), and annually (1). When n equals 1, APR and APY are identical. The calculator can also work in reverse, deriving the equivalent APR from a known APY. In the UK, the regulatory equivalent of APY for savings products is the AER (Annual Equivalent Rate), governed by the Financial Conduct Authority. For mortgage and credit products, the relevant disclosure figure is the APRC, which incorporates fees alongside the interest rate. This tool performs the mathematical conversion only and does not incorporate fees or other charges.
Common mistakes
- Using this formula as if it were a UK mortgage or personal-loan illustration.
- Mixing simple and compound interest when comparing two products.
- Entering time in months while the formula expects years, or the reverse.
- Assuming the result includes tax or fees.
What to do next
- If the balance compounds, run the same figures in the compound-interest calculator.
- If you are comparing a loan product, use the personal loan calculator instead.
- Check the term unit (years vs months) before relying on the result.
- Keep the formula assumptions in view โ this is not a regulated illustration.