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The formula for the annual equivalent compound interest rate is: (+) where r is the simple annual rate of interest n is the frequency of applying interest. For example, in the case of a 6% simple annual rate, the annual equivalent compound rate is:
For example, if you take out a five-year loan for $20,000 and the interest rate on the loan is 5 percent, the simple interest formula would be $20,000 x .05 x 5 = $5,000 in interest. Who benefits ...
For various interest-accumulation protocols, the accumulation function is as follows (with i denoting the interest rate and d denoting the discount rate): simple interest : a ( t ) = 1 + t ⋅ i {\displaystyle a(t)=1+t\cdot i}
Compound interest is contrasted with simple interest, where previously accumulated interest is not added to the principal amount of the current period. Compounded interest depends on the simple interest rate applied and the frequency at which the interest is compounded.
Simple interest is the inverse of compound interest in that it separates your principal from any interest. It uses only your principal — with no compounding. This type of interest is common on ...
The annual interest rate is the rate over a period of one year. Other interest rates apply over different periods, such as a month or a day, but they are usually annualized. The interest rate has been characterized as "an index of the preference . . . for a dollar of present [income] over a dollar of future income". [1]
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