Simple Interest as the name specifies only calculates the interest over the period and divides this interest among multiple periods. The interest will be on the initial principal.
In compound interest, interest is calculated over interest during a period ie interest will be calculated on the amount (principal +interest) after a particular period for the purpose of calculation for the next period.
As an example, consider a $ 1000 investment for 2 years at 5% interest(both simple and compound)
Simple Interest
Simple interest = P*N*R/100 = 1000*2*5 / 100 = $ 100
Amount after 2 years = $ 1,100
For Compound Interest
Amount in Compound Interest = 1000*(1+5%)^2 = $ 1,102.5
So Amount after compound interest for 2 years> Amount in SI
Thus compound interest is preferred over simple interest.
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