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COMPOUNDING
1. Compounding
2. Compound & simple interest
 
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Compound & simple interest

Some investments — such as money market accounts and certificates of deposit (CDs) — increase in value by earning interest. The interest income you earn may be calculated in two ways:
It may earn simple interest, which means the interest is figured on your principal alone
It may earn compound interest, which means the interest you earn on the investment also earns interest

Doing the math

The way the interest is calculated will affect the yield, or what you earn on your investment. The more frequently the interest is compounded, the higher the yield, or the rate of return on your investment.

For example, if you had $5,000 in an account that paid 5% annually in simple interest for five years, you’d earn $250 a year, for a total of $1,250 in interest. In this case the interest rate and the yield are the same — 5% per year.

But the same $5,000 investment paying 5% interest compounded annually for five years would produce a total of $1,381.41 in interest. Because you’re earning interest on your interest, the yield — an average of 5.52% per year — is higher than the interest rate.

Compound interest versus simple interest
$5,000 invested at
5% interest
With compound
interest (annual)
With simple
interest
Start $5,000.00 $5,000.00
After 1 year $5,250.00 $5,250.00
After 2 years $5,512.50 $5,500.00
After 3 years $5,788.13 $5,750.00
After 4 years $6,077.53 $6,000.00
After 5 years $6,381.41 $6,250.00
Growth = 27.6% 25%
Annualized rate 5.52% 5%
 


     
   
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