Interest
Interest is a term that refers to the cost of borrowing money or the return earned on an investment. It is typically expressed as a percentage of the principal, which is the amount of money borrowed or invested. Interest can be calculated in a variety of ways, including simple interest, compound interest, and continuously compounded interest.
Types of Interest[edit | edit source]
There are several types of interest, including:
- Simple Interest: This is calculated on the principal, or original, amount alone. Simple interest does not compound, meaning that an individual will only gain or owe interest on the original amount.
- Compound Interest: This is calculated on the principal amount and also on the accumulated interest of previous periods. Compound interest can be compounded annually, semi-annually, quarterly, monthly, or daily.
- Continuously Compounded Interest: This is calculated by taking the limit as the compounding period goes to infinity. Continuously compounded interest grows at a faster rate than simple or regular compound interest.
Calculating Interest[edit | edit source]
The formula for calculating interest depends on the type of interest being calculated.
- For simple interest, the formula is I = PRT, where I is the interest, P is the principal, R is the interest rate, and T is the time in years.
- For compound interest, the formula 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, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.
- For continuously compounded interest, the formula is A = Pe^(rt), where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate, and t is the time the money is invested for in years.
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