Calculate Interest Rate Earned On Investment

Compound Interest Formula:

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

Principal Amount (P):

₹

Annual Interest Rate (r):

Compounding Frequency (n):

Time Period (t):

years

Future Value (A):

Interest Earned:

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1. What is Compound Interest?

Compound interest is the interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan. It's often called "interest on interest" and makes a sum grow at a faster rate than simple interest.

2. How Does the Calculator Work?

The calculator uses the compound interest formula:

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

Where:

\( A \) — Future value of the investment/loan
\( P \) — Principal investment amount
\( r \) — Annual interest rate (decimal)
\( n \) — Number of times interest is compounded per year
\( t \) — Time the money is invested/borrowed for, in years

Explanation: The formula calculates how much an 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, retirement planning, and loan management. It demonstrates the power of time and compounding in wealth creation.

4. Using the Calculator

Tips: Enter the principal amount in ₹, annual interest rate as a percentage, select compounding frequency, and time period 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 (daily vs. annually) results in higher returns due to interest being calculated and added more often.

Q3: What is the Rule of 72?
A: A simple way to estimate how long an investment will take to double: 72 divided by the annual interest rate gives the approximate number of years.

Q4: Can this calculator be used for loans?
A: Yes, the same formula applies to compound interest on loans, though the context and implications are different.

Q5: How accurate is this calculator?
A: It provides mathematically accurate results based on the inputs, but actual investment returns may vary due to market conditions and fees.