Effective Rate Formula:
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The effective interest rate (also known as the comparison rate) provides a more accurate measure of the true cost of a loan by accounting for compounding effects. It allows borrowers to compare different loan offers on an equal basis.
The calculator uses the effective rate formula:
Where:
Explanation: The formula converts a nominal interest rate to an effective rate that reflects the impact of compounding throughout the year.
Details: Calculating the effective rate is crucial for comparing different loan products with varying compounding frequencies. It helps borrowers understand the true cost of credit and make informed financial decisions.
Tips: Enter the nominal interest rate as a decimal (e.g., 0.05 for 5%) and the number of compounding periods per year. All values must be valid (nominal rate > 0, n ≥ 1).
Q1: Why is the effective rate higher than the nominal rate?
A: The effective rate is higher due to compounding - interest earned on previously accumulated interest.
Q2: How does compounding frequency affect the effective rate?
A: More frequent compounding results in a higher effective rate, as interest is calculated and added more often.
Q3: What's the difference between APR and effective rate?
A: APR is typically a nominal rate, while the effective rate accounts for compounding and fees to show the true cost of borrowing.
Q4: When should I use this calculation?
A: Use it when comparing loans with different compounding periods or when you want to understand the true cost of a loan product.
Q5: Can this be used for investment returns as well?
A: Yes, the same formula can be used to calculate effective investment returns when compounding is involved.