SOLUTION: how much money would you have in 5 years if today you invested $500 in a continuously compounded account at a rate of 3.75%? what about after 10 years? 20 years? 40 years?

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Question 1153508: how much money would you have in 5 years if today you invested $500 in a continuously compounded account at a rate of 3.75%? what about after 10 years? 20 years? 40 years?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

One year growth factor is


    f = e%5E0.0375 = 2.71828%5E0.0375 = 1.038212.



So, 5 years future value is  500%2A1.038212%5E5 = 603.16 dollars;


    10 years future value is  500%2A1.038212%5E10 = 727.50 dollars;


    20 years future value is  500%2A1.038212%5E20 = 1058.50 dollars;


    40 years future value is  500%2A1.038212%5E40 = 2240.85 dollars.