Effective Interest Rate Formula:
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The Effective Interest Rate (also known as Annual Equivalent Rate or AER) represents the actual annual interest earned when compounding is taken into account. It allows you to compare different bank offers with varying compounding frequencies to find the best yield for your savings.
The calculator uses the effective interest rate formula:
Where:
Explanation: The formula accounts for the effect of compounding, showing how more frequent compounding periods result in higher effective yields even with the same nominal rate.
Details: Comparing effective rates rather than nominal rates ensures you're making accurate comparisons between different banking products. A bank offering 5% compounded monthly may actually provide a better return than one offering 5.1% compounded annually.
Tips: Enter the nominal interest rate as a percentage (e.g., 5 for 5%), and the number of compounding periods per year (e.g., 12 for monthly, 4 for quarterly, 365 for daily). All values must be valid positive numbers.
Q1: What's the difference between nominal and effective interest rates?
A: Nominal rate is the stated annual rate without compounding, while effective rate includes the effect of compounding and represents the actual annual return.
Q2: How does compounding frequency affect returns?
A: More frequent compounding (daily vs. monthly vs. annually) results in higher effective returns due to interest being calculated on previously earned interest more often.
Q3: What are typical compounding frequencies?
A: Common frequencies include annually (1), semi-annually (2), quarterly (4), monthly (12), and daily (365).
Q4: Should I always choose the highest effective rate?
A: While effective rate is important, also consider factors like account fees, minimum balance requirements, and bank stability when choosing where to save.
Q5: Does this calculator work for loans as well as savings?
A: Yes, the same formula applies to both savings and loans - it calculates the true annual cost or return regardless of compounding frequency.