Return Interest Calculator

Compound Interest Formula:

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

Principal Amount (P):

₹

Annual Interest Rate (r):

Compounding Frequency (n):

Time (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. It allows investments to grow exponentially over time, making it a powerful concept in finance and investing.

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
\( P \) — Principal investment amount
\( r \) — Annual interest rate (decimal)
\( n \) — Number of times interest is compounded per year
\( t \) — Time the money is invested for (years)

Explanation: The formula calculates how much an investment will grow when interest is earned on both the principal and accumulated interest.

3. Importance of Compound Interest

Details: Compound interest is fundamental to long-term wealth building. It demonstrates why starting investments early and allowing them to compound over time can lead to significant financial growth.

4. Using the Calculator

Tips: Enter the principal amount in ₹, annual interest rate as a percentage, select compounding frequency, 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 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 quick way to estimate how long it takes for an investment to double: 72 divided by the annual interest rate.

Q4: Can this calculator be used for loans?
A: While the formula is similar, loan calculations typically use amortization formulas that account for regular payments.

Q5: Are there any limitations to this calculation?
A: This assumes a fixed interest rate and doesn't account for additional contributions, taxes, or fees that may affect actual returns.