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Shortcut Tricks: Compound Interest Video Lecture | CSAT Preparation - UPSC

FAQs on Shortcut Tricks: Compound Interest Video Lecture - CSAT Preparation - UPSC

1. What is compound interest and how does it differ from simple interest?
Ans. Compound interest is the interest calculated on the initial principal as well as on the accumulated interest from previous periods. This results in interest being earned on interest, which can significantly increase the total amount earned over time. In contrast, simple interest is calculated only on the original principal amount, making it less beneficial for long-term investments.
2. How is compound interest calculated?
Ans. The formula for calculating compound interest is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest. P is the principal amount (initial investment), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the number of years the money is invested for.
3. What are the common compounding frequencies, and how do they affect the interest earned?
Ans. Common compounding frequencies include annually, semi-annually, quarterly, monthly, and daily. The more frequently interest is compounded, the more interest you will earn. For example, if interest is compounded monthly instead of annually, the total amount accrued will be higher due to the interest being calculated on a more regular basis.
4. Can you provide a shortcut method for calculating compound interest quickly?
Ans. A common shortcut for estimating compound interest is the Rule of 72. This rule states that you can divide 72 by the interest rate to estimate the number of years it will take for an investment to double. For example, if the interest rate is 6%, it will take approximately 72/6 = 12 years to double your investment.
5. What factors should be considered when choosing an investment with compound interest?
Ans. When choosing an investment with compound interest, consider the interest rate, the frequency of compounding, the time frame of the investment, and any associated fees or taxes. It's essential to compare different options to find the one that maximizes your returns based on your financial goals and investment horizon.
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