The answer hasn't changed since Bobpursley posted it for you a little while ago.
http://www.jiskha.com/display.cgi?id=1379033752
Please use the same name for your posts.
How do you compound something to the millisecond?
like you would use the n value = 12 for monthly, 2 for semi annually, etc
HOW ABOUT FOR MILLISECOND?
2 answers
see
http://www.jiskha.com/display.cgi?id=1379033752
If you are dealing with milliseconds, your compounded becomes, for all practical purposes, "continuous compouning"
in that case you can use:
Amount = principal e^rt , where r is the annual rate in decimals
e.g. suppose we have $100 at 8% compounded monthly for 2 years
amount = 100(1.006666...)^24 = 117.2888
at 8% per annum compounded by the second for 2 years
amount = 100(1.000000152)^1051200 = 117.350222
compounded continuously at 8% per annum for 2 yrs
amount = 100 e^(2(.08)) = 117.3510871
Notice in terms of money to the nearest cent, the last two results are the same, even though I did not do the milliseconds
http://www.jiskha.com/display.cgi?id=1379033752
If you are dealing with milliseconds, your compounded becomes, for all practical purposes, "continuous compouning"
in that case you can use:
Amount = principal e^rt , where r is the annual rate in decimals
e.g. suppose we have $100 at 8% compounded monthly for 2 years
amount = 100(1.006666...)^24 = 117.2888
at 8% per annum compounded by the second for 2 years
amount = 100(1.000000152)^1051200 = 117.350222
compounded continuously at 8% per annum for 2 yrs
amount = 100 e^(2(.08)) = 117.3510871
Notice in terms of money to the nearest cent, the last two results are the same, even though I did not do the milliseconds