Daily Interest Rate Formula:
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The daily interest rate represents the effective interest rate compounded daily from an annual rate. It's used to calculate interest on a daily basis for loans, investments, and savings accounts that compound interest daily.
The calculator uses the daily interest rate formula:
Where:
Explanation: This formula converts an annual interest rate to its equivalent daily compounded rate, accounting for the effects of daily compounding.
Details: Calculating daily interest rates is essential for accurate financial planning, comparing different compounding periods, and understanding the true cost of loans or returns on investments with daily compounding.
Tips: Enter the annual interest rate as a percentage (e.g., enter 5 for 5%). The calculator will compute the equivalent daily rate. All values must be valid (annual rate ≥ 0).
Q1: Why use 365 days instead of 360?
A: 365 days provides a more accurate calculation for actual daily compounding, while 360 days is sometimes used in banking for simplicity in monthly calculations.
Q2: How does daily compounding affect returns?
A: Daily compounding typically yields slightly higher returns than monthly or annual compounding due to more frequent interest calculations.
Q3: Can this formula be used for different compounding periods?
A: Yes, by changing the exponent to 1/n where n is the number of compounding periods per year (e.g., 12 for monthly, 4 for quarterly).
Q4: What's the difference between nominal and effective rates?
A: The annual rate entered is typically the nominal rate, while the calculated daily rate helps determine the effective annual rate when compounded daily.
Q5: Is this applicable to both loans and investments?
A: Yes, this calculation works for both calculating daily interest on loans and daily returns on investments that compound daily.