SOLUTION: Which of the given interest rates and compounding periods would provide the best investments? Please explain your answer. a.8.25% per year, compounded quarterly b.8.15% per year

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Question 332088: Which of the given interest rates and compounding periods would provide the best investments? Please explain your answer.
a.8.25% per year, compounded quarterly
b.8.15% per year, compounded continuously

Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
The compounded formula is F=I%2A%281%2Br%2Fn%29%5E%28nt%29
where F=future value
I=investment amount
r=annual interest rate
n=compounded periods
t=number of years
----
in the case of compounded continuously n-->infinity
so.... +lim+%28n-%3E+inf%29+%281-r%2Fn%29%5E%28nt%29+=+e%5E%28rt%29
in your questions, t=1 for one year
---
a.8.25% per year, compounded quarterly
F=I%2A%281%2B0.0825%2F4%29%5E4+=+I%2A1.0851
--
b.8.15% per year, compounded continuously
F=I%2Ae%5E%28rt%29=I%2Ae%5E%280.0815%29+=+I%2A1.0849
===
so you can answer you question by looking at both of these.