document.write( "Question 1175892: An investor wanted to have 1 million in his account earning 8% compounded semiannually in 5 years. How much should he invest now? \n" ); document.write( "
Algebra.Com's Answer #801705 by math_helper(2461)\"\" \"About 
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\n" ); document.write( "\"+F+=+P%281%2Br%2Fn%29%5E%28nt%29++\"
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\n" ); document.write( "\"+1000000+=+P%281%2B0.08%2F2%29%5E%282%2A5%29+\"
\n" ); document.write( "\"+1000000+=+P%281.04%29%5E10+\"
\n" ); document.write( "\"+P+\" = \"+1000000%2F%281.04%29%5E10+\" = \"+675564.17+\"
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\n" ); document.write( "Ans: The investor needs to invest $675564.17 today to have $1 million in 5 years.
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\n" ); document.write( "Check: I'll just compute the value of the investment at each 6mo compounding interval:\r
\n" ); document.write( "\n" ); document.write( "time(yrs) value ($)
\n" ); document.write( "--------- ---------
\n" ); document.write( "0 675564.17
\n" ); document.write( "0.5 702586.74
\n" ); document.write( "1.0 730690.21
\n" ); document.write( "1.5 759917.81
\n" ); document.write( "2.0 790314.53
\n" ); document.write( "2.5 821927.11
\n" ); document.write( "3.0 854804.19
\n" ); document.write( "3.5 888996.36
\n" ); document.write( "4.0 924556.21
\n" ); document.write( "4.5 961537.46
\n" ); document.write( "5.0 1000000.00\r
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