SOLUTION: find the effective interest rate if the norminal interest rate is 10% compounded continousely for 2year

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Question 164222: find the effective interest rate if the norminal interest rate is 10% compounded continousely for 2year
Answer by aka042(26) About Me  (Show Source):
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Compounding interest follows this formula r+effective+=+e%5E%28r%2At%29+-+1 where e is the mathematical constant approximately equal to 2.718..., t is the number of periods (years) and r is the nominal interest rate . Why this is requires some knowledge of calculus. However, calculating interest rates using the formula is simple!


For your problem, we simply plug in the values: r+effective+=+e%5E%28.1%2A2%29+-+1+=+e%5E%28.2%29+-+1+=+.2214. Therefore, your effective interest rate is about 22.14%.