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Simple Compounding


The method of compounding interest rate without taking into account the interest earned over the period in question. Interest only accrues on the principal of the instrument or investment. It is paid at the end of the contractual term, applying the simple interest rate per corresponding interval multiplied by the principal amount. Interest payment intervals are usually less than a year. This kind of compounding is often used with money market instruments and investments.

In equation form:

K =K0 * [ 1+ R (T -t)]

Where: K is the principal at the end (of last period, i.e., capital held at maturity), K0 is the principal at the beginning, R is the simple interest rate per annum, T-t is the interest period.

The compounding factor (which is also the reciprocal of discount factor) is:

[ 1+ R (T -t)]

The interest earned is obtained by applying:

Simple interest =K0 * R (T -t)

R (T – t) is the simple compounding expression.



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