document.write( "Question 1153386: What interest rate compounded quarterly will yield an effective interest rate of 2​%? \n" ); document.write( "
Algebra.Com's Answer #775606 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "The formula for calculating effective yield is as follows:\r
\n" ); document.write( "\n" ); document.write( "\"i+=+%281+%2B+%28r%2Fn%29%29%5En+-+1\"\r
\n" ); document.write( "\n" ); document.write( "Where:\r
\n" ); document.write( "\n" ); document.write( "\"i\" = \"2\"% =\"0.02\"
\n" ); document.write( "\"r\" = nominal rate
\n" ); document.write( "\"n+\"=\"4\" ( compounded quarterly)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0.02=+%281+%2B+%28r%2F4%29%29%5E4+-+1\"\r
\n" ); document.write( "\n" ); document.write( "\"0.02%2B1=+1%2F256+%28r+%2B+4%29%5E4\"\r
\n" ); document.write( "\n" ); document.write( "\"1.02%2F%281%2F256%29=+%28r+%2B+4%29%5E4\"\r
\n" ); document.write( "\n" ); document.write( "\"261.12=+%28r+%2B+4%29%5E4\"\r
\n" ); document.write( "\n" ); document.write( "\"root%284%2C261.12%29=+r+%2B+4\"\r
\n" ); document.write( "\n" ); document.write( "\"4.01985=+r+%2B+4\"\r
\n" ); document.write( "\n" ); document.write( "\"4.01985-4=+r+\"\r
\n" ); document.write( "\n" ); document.write( "\"r=0.01985\"\r
\n" ); document.write( "\n" ); document.write( "\"r=+1.985\"%\r
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