Compound Interest Formula:
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The compound interest formula calculates the future value of a lump sum investment by accounting for interest earned on both the initial principal and accumulated interest from previous periods. It provides a more accurate projection of savings growth compared to simple interest.
The calculator uses the compound interest formula:
Where:
Explanation: The formula demonstrates how money grows over time through compounding, where interest is calculated on both the initial amount and accumulated interest.
Details: Understanding compound interest helps individuals make informed decisions about savings and investments, showing how even small differences in interest rates or compounding frequency can significantly impact long-term growth.
Tips: Enter the lump sum amount in GBP, annual interest rate as a decimal (e.g., 0.0475 for 4.75%), number of compounding periods per year (typically 1 for annual, 12 for monthly), and time in years. All values must be positive numbers.
Q1: What are the current best savings rates in the UK?
A: As of September 2025, MoneySavingExpert reports up to 4.75% for easy access savings accounts, though rates vary by provider and account type.
Q2: How often is interest typically compounded?
A: Most savings accounts compound interest annually, though some may compound monthly, quarterly, or daily. Check with your specific provider.
Q3: Are there tax implications for savings interest?
A: In the UK, you may need to pay tax on savings interest above your Personal Savings Allowance, which is £1,000 for basic rate taxpayers and £500 for higher rate taxpayers.
Q4: What's the difference between AER and gross rate?
A: AER (Annual Equivalent Rate) shows what you'd earn if interest was paid and compounded each year, while gross rate is the interest rate without compounding.
Q5: Should I consider inflation in my calculations?
A: Yes, for long-term planning, consider real returns (nominal return minus inflation) to understand the actual purchasing power of your savings.