SOLUTION: How can I find the APY for an APR of 6.7% that is compounded continuously? I know that yearly it is 6.7, semi-annually it is 6.81 and monthly it is 6.91 but I cannot figure out

Algebra ->  Finance -> SOLUTION: How can I find the APY for an APR of 6.7% that is compounded continuously? I know that yearly it is 6.7, semi-annually it is 6.81 and monthly it is 6.91 but I cannot figure out       Log On


   



Question 947754: How can I find the APY for an APR of 6.7% that is compounded continuously?
I know that yearly it is 6.7, semi-annually it is 6.81 and monthly it is 6.91 but I cannot figure out how to do the continuous. Any help is appreciated!

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The maximum possible value for the APY is achieved with continuous compounding, that is, N approaches infinity. APY for continuous compounding is calculated by
APY_CONTINUOUS+=+e%5Er+-+1,
where "e" is the mathematical constant 2.718281828459045.
In your case, APR of 6.7% or as decimal 0.067 rate compounded continuously has an APY of
APY_CONTINUOUS+=+e%5E0.067+-+1+=+0.0692955=+6.92955%.