What is the formula of interest?

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Calculate simple interest using the formula: Principal multiplied by the interest rate (as a decimal) multiplied by the time period. This yields the total interest earned or paid over the given time.

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Understanding the Formula for Interest

Interest is a charge or payment made by the borrower of a loan or financial obligation for the use of money over a specified period of time. It is typically expressed as a percentage of the principal amount borrowed.

The formula for calculating interest depends on the type of interest being calculated (simple or compound) and the loan terms.

Simple Interest Formula

Simple interest is calculated based on the initial principal amount borrowed and not the accumulating balance. It is calculated using the following formula:

Interest = Principal × Interest Rate × Time

where:

  • Principal is the initial amount borrowed
  • Interest Rate is the annual interest rate expressed as a decimal
  • Time is the period over which the interest is calculated (usually expressed in years)

For example, if you borrow $1000 at an interest rate of 5% for a period of 2 years, the simple interest would be:

Interest = $1000 × 0.05 × 2 = $100

Compound Interest Formula

Compound interest is interest calculated not only on the principal amount but also on the accumulated interest from previous periods. It is typically used in long-term investments and loans.

The formula for compound interest is more complex and involves the following elements:

  • Principal is the initial amount borrowed
  • Interest Rate is the annual interest rate expressed as a decimal
  • Time is the period over which the interest is calculated (usually expressed in years)
  • n is the number of compounding periods per year

The formula for compound interest is:

Final Amount = Principal × (1 + Interest Rate/n)^(n × Time)

The interest earned over a given time period can be calculated by subtracting the principal amount from the final amount.

Conclusion

Understanding the formula for interest is essential for calculating the cost of borrowing or the earnings on investments. Whether it’s simple or compound interest, the formula allows individuals to determine the financial implications of their financial decisions.

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