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Why are the Effective Annual Rate (EAR) and Annual Percentage Rates (APR) necessary in financial discussions?  Link...

Why are the Effective Annual Rate (EAR) and Annual Percentage Rates (APR) necessary in financial discussions?  Link the EAR and ARP in an equation, labeling the components.

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Answer #1

EAR is necessary because APR does not paint the full picture as to the compounding frequency. Higher the compounding frequency more is the EAR. That is the reason regulations often ask the lenders to quote the rates in EAR rather than APR.

Therefore both APR and EAR are necessary as APR gives us an approximate understandable rate. When we have a period less than a year, we may use APR to discount the smaller period.

Equation:

EAR= ((1+(APR/n))^n)-1

where n is the compounding frequency

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