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pochemuha
3 years ago
6

Suppose Community Bank offers to lend you $10,000 for one year at a nominal annual rate of 6.50%, but you must make interest pay

ments at the end of each quarter and then pay off the $10,000 principal amount at the end of the year. What is the effective annual rate on the loan?
Business
1 answer:
Bad White [126]3 years ago
8 0

Answer:

  • <u><em>6.66%</em></u>

Explanation:

The effective annual rate, EAR, of a loan is calculated with the formula:

       EAR=\bigg[1+\dfrac{nominal\text{ }rate}{n}\bigg]^{n}}-1

Where:

  • nominal rate = annual percentage rate = 6.50%
  • n = number of periods = 4

Substituting and computing:

      EAR=\bigg[1+\dfrac{6.50\%}{4}\bigg]^{4}}-1=0.0666

Convert to percentage, multiplying by 100: 6.66%

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For example, imagine that a person holds a belief that left-handed people are more creative than right-handed people. Whenever this person encounters a person that is both left-handed and creative, they place greater importance on this "evidence" that supports what they already believe. This individual might even seek "proof" that further backs up this belief while discounting examples that don't support the idea.

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