Principal Amount:
₹500,000
Total Interest:
₹29,067,787
Total Amount:
₹29,567,787
Compound interest adds accumulated interest back to the principal, enabling growth on both the original amount and the accrued interest. This principle is key to savings, investments, and loans, making it essential for long-term financial growth.
Consider an investment of ₹50,000 at an annual interest rate of 6%, compounded annually for 3 years. The calculation involves:,Principal (P): ₹50,000,Rate of Interest (R): 6%,Time (T): 3 years,Compounding Frequency: Annually,Using the formula A = P(1 + R/n)^(n*T), the final amount is approximately ₹59,561.
Compound Interest is calculated as:,A = P(1 + R/n)^(n*T),Where 'A' is the final amount, 'P' is the principal, 'R' is the annual interest rate, 'n' is the number of times interest is compounded per year, and 'T' is the time in years.
Compound interest grows exponentially as interest is added to the principal and prior interest, while simple interest grows linearly. Below are key differences:,Calculation Basis: Simple interest is based only on the principal, while compound interest includes previously earned interest.,Interest Growth: Simple interest grows at a constant rate, whereas compound interest accelerates over time.,Use Cases: Simple interest is used for short-term loans; compound interest is ideal for long-term investments.
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Frequent compounding accelerates investment growth, making it a powerful tool for long-term wealth building. Choosing the optimal frequency enhances returns significantly over time.
Compound interest is the process where interest is calculated on the initial principal and also on the accumulated interest from previous periods.
Compound interest includes interest on previously accrued interest, leading to exponential growth, while simple interest grows linearly based on the principal.
More frequent compounding, such as monthly or daily, usually results in higher returns over time.
Compound interest is especially advantageous for long-term investments due to its exponential growth effect.
Yes, by selecting monthly compounding, you can calculate the returns for investments or loans compounded monthly.