Savings Banks Interest Rates Calculator

Compound Interest Formula:

\[ FV = P \times (1 + \frac{r}{n})^{(n \times t)} \]

Principal (P):

Interest Rate (r):

decimal

Compounding Periods Per Year (n):

Time (t):

years

Future Value (FV):

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1. What is the Compound Interest Formula?

The compound interest formula calculates the future value of an investment or loan based on the principal amount, interest rate, compounding frequency, and time period. It demonstrates how money grows over time through the power of compounding.

2. How Does the Calculator Work?

The calculator uses the compound interest formula:

\[ FV = P \times (1 + \frac{r}{n})^{(n \times t)} \]

Where:

\( FV \) — Future Value (currency)
\( P \) — Principal amount (currency)
\( r \) — Annual interest rate (decimal)
\( n \) — Compounding periods per year (unitless)
\( t \) — Time in years (years)

Explanation: The formula calculates how much an initial investment will grow over time when interest is compounded at regular intervals.

3. Importance of Compound Interest Calculation

Details: Understanding compound interest is crucial for financial planning, investment decisions, and retirement savings. It shows how small, regular investments can grow significantly over time.

4. Using the Calculator

Tips: Enter the principal amount in dollars, interest rate as a decimal (e.g., 0.05 for 5%), number of compounding periods per year, and time in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between simple and compound interest?
A: Simple interest is calculated only on the principal amount, while compound interest is calculated on both the principal and accumulated interest.

Q2: How does compounding frequency affect returns?
A: More frequent compounding (e.g., monthly vs. annually) results in higher returns due to interest being calculated on previously earned interest more often.

Q3: What is a typical compounding frequency for savings accounts?
A: Most savings accounts compound interest daily or monthly, though this can vary by financial institution.

Q4: How do I convert annual percentage rate to decimal?
A: Divide the percentage by 100 (e.g., 5% becomes 0.05).

Q5: Can this calculator be used for loans as well?
A: Yes, the same formula applies to calculating the future value of loans with compound interest.