1. What is AER?

The Annual Equivalent Rate (AER) is the interest rate for a savings account or investment product when compounding is taken into account. It shows the true annual rate of return, allowing for easy comparison between different financial products.

2. How Does the Calculator Work?

The calculator uses the AER formula:

Where:

• \( r \) — Nominal interest rate (as a decimal)
• \( n \) — Number of compounding periods per year
• \( AER \) — Annual Equivalent Rate (as a decimal)

Explanation: The formula accounts for the effect of compounding by calculating the effective annual rate when interest is compounded multiple times per year.

3. Importance of AER Calculation

Details: AER provides a standardized way to compare different savings accounts and investment products, especially when they have different compounding frequencies. It shows the true annual return you can expect to earn.

4. Using the Calculator

Tips: Enter the nominal interest rate as a percentage (e.g., 5 for 5%) and the number of times interest is compounded per year (e.g., 12 for monthly compounding). All values must be valid (rate ≥ 0, compounding frequency ≥ 1).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between nominal rate and AER?
A: The nominal rate doesn't account for compounding, while AER shows the actual annual return including compounding effects.

Q2: How does compounding frequency affect AER?
A: More frequent compounding results in a higher AER for the same nominal rate, as interest is calculated on previously earned interest more often.

Q3: When is AER most useful?
A: AER is particularly useful when comparing savings accounts, certificates of deposit, or any investment products with different compounding schedules.

Q4: Can AER be lower than the nominal rate?
A: No, AER is always equal to or higher than the nominal rate when compounding occurs. If compounded annually, they are equal.

Q5: Is AER the same as APR?
A: No, APR (Annual Percentage Rate) typically refers to borrowing costs, while AER refers to investment returns. However, both account for compounding effects.