document.write( "Question 508544: How long will it take to double my investment (which they don't tell me) with compound annual investment, compound monthly and compound continuously. please explain in detail \n" ); document.write( "
Algebra.Com's Answer #341031 by Alan3354(69443)\"\" \"About 
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How long will it take to double my investment (which they don't tell me) with compound annual investment
\n" ); document.write( "FV = PV*(1 + r)^n r = interest rate per period, n = # of periods
\n" ); document.write( "FV = 2*PV
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\n" ); document.write( "(1 + r)^n = 2
\n" ); document.write( "n*log(1 + r) = log(2)
\n" ); document.write( "n = log(2)/log(1 + r)
\n" ); document.write( "The value of n depends on the interest rate.
\n" ); document.write( "The amounts are not relevant, whatever you start with is doubled.
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\n" ); document.write( "compound monthly:
\n" ); document.write( "Same as above, but the monthly interest rate = annual rate/12, and n is the # of months.
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\n" ); document.write( "and compound continuously.
\n" ); document.write( "FV = PV*e^rt, r = rate per period, t = periods
\n" ); document.write( "e^rt = 2
\n" ); document.write( "rt = ln(2)
\n" ); document.write( "t = ln(2)/r
\n" ); document.write( "-----
\n" ); document.write( "You have to use ln (natural logs) for this one. The 1st 2 can be log or ln.
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\n" ); document.write( "please explain in detail
\n" ); document.write( "FV = Future Value
\n" ); document.write( "PV = Present Value
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